Abraham Baldwin Agricultural College Department of Mathematics Part-Time Faculty Handbook THIS HANDBOOK has been created to acknowledge and support the significant role of ABAC’s part-time faculty in our classrooms and on our campus. Owing to the limited amount of time part-time faculty spend on campus and the fact that many arrive after full-time faculty are gone and offices are closed, navigating through the semester can be challenging. This handbook has been arranged to take you through your time at ABAC chronologically, from the time you’re hired through the submission of your grades and assessments at the end of the semester. Portions of this handbook are direct excerpts from the Part-Time Faculty Handbook and Student Handbook published by the Office of Academic Affairs. You have also been provided with helpful documents tailored to the various courses taught by part-time faculty. You will find, for example, review materials, formula/fact sheets, and suggested homework problems. This handbook has been written by members of the full-time faculty in the Math Department and is continuously updated. Your input is welcome. Please send comments, suggestions, and questions to Assistant Professor Amanda Urquhart at aurquhart@abac.edu. Revised 7/14 1 Table of Contents Faculty Contact Information ................................................................................................... 4 Administrative & Personnel Items.......................................................................................... 5 Specific Department Policies ................................................................................................... 6 Preparing for the First Day of Class ....................................................................................... 9 Course Syllabus .....................................................................................................................................................9 Checking Prerequisites .........................................................................................................................................9 Once the Semester Begins ..................................................................................................... 11 Class Rosters ...................................................................................................................................................... 11 Roster Verification ............................................................................................................................................. 12 Withdrawal Procedures ..................................................................................................................................... 12 Grade Submission .............................................................................................................................................. 13 Assigning an Incomplete.................................................................................................................................... 14 At the End of the Semester.................................................................................................... 15 Course Assessments ........................................................................................................................................... 15 Student Evaluations of Instruction................................................................................................................... 15 What You Should Keep ...................................................................................................................................... 16 Other Important Policies and Facts ...................................................................................... 17 Academic Code of Conduct................................................................................................................................. 17 Academic Support Center .................................................................................................................................. 19 Appeal of Grades ................................................................................................................................................ 19 Campus Alert System ........................................................................................................................................ 20 Desire 2 Learn .................................................................................................................................................... 21 Disability Services .............................................................................................................................................. 21 Emergency Procedures....................................................................................................................................... 21 Family Educational Rights and Privacy Act of 1974 (FERPA) ....................................................................... 22 Learning Support Suspension ........................................................................................................................... 23 Resources for MATH 0097 Beginning Algebra ..................................................................... 24 Course Content ................................................................................................................................................... 24 Resources for MATH 0099 Intermediate Algebra ................................................................ 29 Course Content ................................................................................................................................................... 29 Final Exam Review ............................................................................................................................................ 30 2 Resources for MATH 1111 College Algebra .......................................................................... 34 Course Content ................................................................................................................................................... 34 Final Exam Review and Formula/Fact Sheet .................................................................................................. 35 Resources for MATH 1112 Trigonometry ............................................................................. 40 Course Content ................................................................................................................................................... 40 Final Exam Review and Formula Sheet ........................................................................................................... 41 Appendix ................................................................................................................................. 45 Sample Assessment Report ............................................................................................................................... 45 Sample Syllabus ................................................................................................................................................. 46 MyMathLab How-To Guide ................................................................................................................................. 49 A. Logging In ......................................................................................................................................... 49 B. Changing Due Dates............................................................................................................................. 49 C. Changing Weights ................................................................................................................................ 49 D. Setting Prerequisites .......................................................................................................................... 49 E. Setting Attempts and Time Limit for Quizzes ................................................................................ 50 F. Editing Your Roster ............................................................................................................................. 50 G. Managing Incompletes........................................................................................................................ 50 H. Exporting Data...................................................................................................................................... 51 Final Statements .................................................................................................................... 51 3 Faculty Contact Information Ms. April Abbott Britt 213 aabbott@abac.edu 391-5160 Britt 225 nbrannen@abac.edu 391-5100 King 9 gdicks@abac.edu 391-5108 King 12 jgregus@abac.edu 391-5110 Britt 205 mpartlow@abac.edu 391-5116 Britt 217 lpearman@abac.edu 391-5118 Britt 215 aurquhart@abac.edu 391-5124 Britt 204 eyou@abac.edu 391-5122 Mathematics Lab Coordinator MATH 1001 Coordinator Ms. Nancy Brannen Senior Administrative Assistant Mr. Gary Dicks Assistant Professor MATH 1112 Coordinator Dr. Jan Gregus Assistant Professor Ms. Melanie Partlow Assistant Professor Interim Department Chair Ms. Lori Pearman Assistant Professor MATH 0099 Coordinator Ms. Amanda Urquhart Assistant Professor MATH 0097 Coordinator Dr. Eunkyung You Assistant Professor MATH 1111 Coordinator 4 Administrative & Personnel Items ONCE OFFERED a position as Part-Time Faculty at ABAC, there are several administrative items that need to be taken care of either with the Office of Human Resources or with the Senior Administrative Assistant for the School of Science and Mathematics. The following constitutes a checklist of items to be completed before your first day of employment: Complete the online orientation at http://www.abac.edu/more/humanresources/new-hire-orientation Faculty Application (Completed online at HireTouch) Personal Data Form Background Request Form State Security Questionnaire/Loyalty Oath Employment Eligibility Verification (I-9) Copies of personal identification are required (i.e. driver’s license, social security card, and documents to prove eligibility to work in the US) and must be submitted to HR. Federal Tax Withholding Form (W-4) Georgia State Withholding Tax Form (G-4) Direct Deposit Form and Direct Deposit Notification Form ABAC Email/Phone Account Request Georgia Defined Contribution Plan Exemption Form or Enrollment Form Worker’s Compensation Memorandum to Personnel File Auto Coverage and Safety Training Drug Free Policy for the Workplace ABAC Right to Know Training Conflict Resolution Training IT User Security Training Non-Harassment Training Complete a Payroll Information Form (PIF) Complete a Part-Time Faculty Contract Obtain a Parking Decal, Identification Card, and key to Gray 110 from ABAC Public Safety in Evans Hall This may seem like a daunting task. In reality, much of what must be completed amounts to no more than printing and signing a particular document. All these items can be completed in one afternoon. 5 Specific Department Policies THE FOLLOWING is a list of policies that have been agreed upon by the full-time faculty in the Math Department and should be adhered to in each math class offered at ABAC: Use of MyMathLab (MML) is required. For each section covered in the course, a Homework and Quiz have been set up in an online system created by Pearson Higher Education. Each semester, a coordinator course will be created for you to copy. Students then access your course through the Pearson system and work through the assignments. You will have some “bookkeeping” tasks to complete for which instructions are included in the appendix of this handbook. The homework and quizzes from the sections covered in a unit should be made due no later than the beginning of class on the day of the unit exam. Through any number of attempts, a student must earn 70% or better on a homework assignment before attempting the quiz for the same section. Students are allowed two attempts at each quiz. At the beginning of each semester, the department hosts a MML Lab (usually in a computer lab in the Nursing Building). The schedule for the lab will be circulated. Sign-in sheets will be made and kept in the lab, then turned in to the respective instructor at the end of the lab week. All students enrolled in MATH 0097, MATH 0997, MATH 0099, MATH 0999, MATH 1001, MATH 1111, and MATH 1112 are expected to attend the lab. The purpose of this lab period is to ensure that students are familiar with the MyMathLab. The due date for individual sections within MyMathLab can be set at the instructor’s discretion. Some of us choose to stagger due dates – about half the assignments due midway through the unit, the other half due by the test date. Some professors choose to have all sections due the night before the exam. Regardless of how you choose to set your due date, all MML work for a unit can be due no later than the start of class on the day of the unit exam. Any work completed outside of class can total no more than 20% of a student’s final average. Final exams must be given during the specified final exam period set by the college. In cases where a course meets, for example, MTWR, and could fit multiple final exam periods, the instructor should choose a particular period from those applicable. The final exam time and date should be published in the course syllabus. The final exam schedule for each semester can be found at http://www.abac.edu/academics/registrar. 6 Students in MATH 0097, MATH 0997, MATH 0999 and MATH 0099 can have at most three unexcused absences during a semester (two during summer semester). Should a student’s unexcused absences exceed three (two in summer), he or she will receive a U (Unsatisfactory) for the course. Tardiness to class (to be defined by the instructor) should count as one-half an absence. Total unexcused absences must be reported to the Registrar with midterm and final grades. MATH 0097, MATH 0997, MATH 0099, and MATH 0999 students can be awarded only an S (Satisfactory) or a U (Unsatisfactory) for the course. Instructors should maintain an accurate record of a student’s average. Any student earning 70% or greater should receive an S for the course, excepting students whose unexcused absences exceeds three. As in any workplace, communication is the key. It is imperative that you check your email daily to stay abreast of any changes in policy or important announcements. Please make sure that the email address provided to the department and to your students is accurate and checked daily. In the event that you will not be able to attend a class, please contact the chair of the department, Ms. Melanie Partlow, via email or phone as soon as possible. If a substitute can be found in time, the class should still meet. As a last resort, should the class need to be cancelled, Nancy or Melanie will post a typed notice on official letterhead. In the past, students have taken it upon themselves to post unofficial cancellation notices without consent of the instructor. Only select individuals have access to official letterhead documents. The Math Department has elected to use identical final exams for each section of a given course, most of which contain approximately 40 multiple-choice type questions. The final exams will be sent out from the Math Department by email. Do not, under any circumstances, allow a student to leave a classroom or office with a copy of a final exam. In the past, students have also attempted to copy problems from finals on scratch paper, then keep the scratch paper after submitting the exam. This is unacceptable. It is recommended that you collect all scratch paper or any other paper a student may have had while in contact with a final exam. These papers need not be kept for long and can be recycled, but under no circumstance should a student be allowed to keep his or her scratch paper from a final exam. The Part-Time Faculty office is located in Gray110. Office hours should be clearly posted on the office door. The office phone number is 229-391-5125. You are encouraged to provide a second contact number to your students. In any case, the contact information provided to your students and to the department should be correct and checked often. Additionally, your mailbox is located in the mail/copy room on the second floor of Britt Hall. Please check your mailbox periodically throughout the week to receive any memos or mail from the department. 7 Instructors of classes which meet in the evening should wear their ID cards at all times to be in compliance with the College’s new security policies. Professional attire is required. All instructors should dress in business casual apparel. Jeans are acceptable, but must not contain any holes or rips. Sweatpants, sweatshirts, shorts, or other casual attire are not acceptable. 8 Preparing for the First Day of Class Course Syllabus THE BULK of preparation for a class happens in the creation of your syllabus. A complete syllabus includes the following: Required materials: text, any online access codes (MyMathLab), calculator (TI-83, TI-83 Plus, TI-84, or TI-84 Plus) Class meeting times and location Instructor contact information Instructor office hours: approximately two hours per week, depending on the number of classes you’re teaching in a semester Expected course outcomes Clearly stated expectations for the students and requirements for success in the course Grading policies Tentative schedule including material to be covered, exam dates, assignment due dates, and important dates from the Academic Calendar Relevant Learning Support (LS) policies (provided by the department) Course attendance policy (varies by course and by instructor, except for LS courses) Generic syllabi for all ABAC courses are available upon request and a sample syllabus is provided in the appendix of this handbook. The information contained in the sample provided is required to be included in the syllabus for each math course. You may, however, add as much information as you like. A course syllabus must be provided to each student at the first class meeting and/or posted online. Research indicates that adult learners respond better in a classroom environment when expectations concerning their performance are clearly articulated. The syllabus represents an informal contract between instructor and student. It specifies what is expected from the student and what in return the student will receive for his or her efforts. A copy of your course syllabus including your posted office hours should be submitted to Nancy prior to the first day of class. Checking Prerequisites FOR CLASSES with prerequisites, either test scores or previous courses, it is important to ensure that each student has met the requirements. Do this before the start of the semester but close enough to have a reasonably accurate roster. Any student who has not met the prerequisite requirements cannot continue in the course. He or she must drop the class before the end of the Drop/Add period at the beginning of the semester. Ideally, the 9 drop should be done as soon as possible to allow openings for other students to enroll if necessary. Checking prerequisites is absolutely crucial. There are two methods for checking prerequisites. After printing your official roster from Banner Web, you can check a student’s transcript (FACULTY SERVICES > ADVISOR MENU > STUDENT ACADEMIC TRANSCRIPT) and test scores (FACULTY SERVICES > ADVISOR MENU > TEST SCORES AND REQUIREMENTS) to ensure the proper prerequisites have been met. Visit https://iweb.abac.edu/prereq/ and click on BY CRN. Then enter the semester and CRN for the course you are teaching. A list will populate including various information about the students enrolled in the course. Any Learning Support or test score deficiencies should be apparent. A list of prerequisite and/or co-requisite requirements for MATH 0097, MATH 0997, MATH 0999, MATH 0099, MATH 1111, and MATH 1112 follows. COMM represents a score on the Compass Algebra Exam, COMR represents a score on the Compass Reading Exam, SATM represents a score on the math portion of the SAT, ACT represents a score on the ACT. MATH 0097: 20 ≤ COMM ≤ 29 MATH 0997: 30≤ COMM ≤ 36 and enrollment in MATH 1001 MATH 0999: 30≤ COMM ≤ 36 and enrollment in MATH 1111 MATH 0099: 20 ≤ COMM ≤ 36 and C or better in MATH 0097 MATH 1111: COMR ≥ 74 and one or more from below o COMM ≥ 37 o SATM ≥ 480 o ACT ≥ 20 o Enrollment in MATH 0999 with 30≤ COMM ≤ 36 MATH 1112: SATM ≥ 590 or ACT ≥ 26 or C or better in MATH 1111 10 Once the Semester Begins Class Rosters CLASS ROSTERS may change greatly from one class meeting to the next during the first few days of the semester. Your understanding of an adherence to the following information is invaluable during the beginning of the semester. Print a new class roster each day class meets during the first week of the semester. Login to Banner Web Click FACULTY SERVICES > INSTRUCTION MENU > OFFICIAL CLASS ROSTER Select the Term and CRN Print the roster. Do this just prior to the class meeting time, or as close to the class meeting as possible. Since students are dropping and adding classes during the drop/add period, it is vital that you have the very latest roster when you check attendance each day. You will need each day’s roster with attendance marked to correctly complete the Roster Verification process later in the semester. This ensures students that never attended are removed from the roster and that no financial aid funds are disbursed incorrectly to students that are not attending class. If you see the words “See Student Accounts” on your roster, it indicates that the student’s fees are not paid in full. These students need to be told that your roster indicates there is a problem with fees and he or she needs to visit the Student Financial Services Office as soon as possible. The office is located on the second floor of the Branch Student Center. If a student is in your class but not on your roster, he or she was not registered for your class when you printed the roster. Speak with the student after class to make sure he or she has registered for your course. Verify this by viewing the most current roster in Banner. If the student is not listed and there is a possibility of a mishap, send the student to the Academic Support Center located on the bottom floor of the Carlton Center. Do not allow a student to stay in your class a second time unless his or her name is listed on your most current roster. Instructors must keep accurate attendance records and must report the individual number of absences with midterm and final grades. Final determination of what constitutes an excused absence rests with the classroom instructor. Faculty will not include in a student’s unexcused absences those absences incurred due to authorized and approved college sponsored events (or in the case of joint-enrollment student’s high school sponsored events) in which the student represents the institution as part of a group or under the 11 direct supervision of a faculty or staff member. Whenever a student is absent, whether for official or personal reasons, the student must assume responsibility and provide notice to the instructor, preferably in advance, for making arrangements for any assignments and class work missed because of the absence. However, final approval for make-up work remains with the individual instructor. Roster Verification ANY STUDENT who has never attended class should be removed from the roster during Roster Verification. If the student has attended even one class, leave the student on your roster (attended means actually sat through a class session). Roster Verification typically begins late in the first week of class and is due midway through the second week of class. Precise dates are listed in ABAC’s Academic Calendar posted by the Registrar. Login to Banner Web Click FACULTY SERVICES > INSTRUCTION MENU > ROSTER VERIFICATION Select the Term and CRN Click the box next to a student’s name if the student has never attended a class session. Click CONTINUE. Make changes if necessary. Repeat this process for each CRN. Withdrawal Procedures IF A student needs to reduce his or her course load during a particular semester, that student may officially withdraw from a class with a grade of W, provided he or she takes this action before the mid-point in the semester or session. The specific deadline for withdrawal without penalty is posted in the Academic Calendar published by the Registrar. After midterm, a student withdrawing from a class will receive a WF. A student who wants to withdraw from a course must first see his or her instructor for permission to withdraw. At that point, the instructor completes a drop form and the student submits the form to Academic Support. Although a W has no impact on the GPA, the student should be aware that there are possible negative Financial Aid ramifications in withdrawing from any class. A WF has an impact on the GPA and may also have possible negative Financial Aid ramifications in withdrawing from any class. A student who wishes to withdraw from a required Learning Support course must also withdraw from any collegiate-level courses in which he or she is enrolled. In select situations, a W may be assigned if a student withdraws after midterm due to extenuating circumstances. It is required that a student be passing the course at midterm to receive a W instead of a WF. In general, documentation explaining the circumstances must be included with the approval form. Signatures of the department head and dean 12 are required. Should either of these individuals not approve the change, the student will receive a WF. The form for W after midterm is available at http://www.abac.edu/wp-content/uploads/2012/11/WafterMid-Term.pdf. Grade Submission GRADES FOR full-term sessions are submitted to the Registrar via Banner Web twice during each term. The first, for recording midterm deficiencies, is submitted prior to the midterm of the semester. The deadline for midterm deficiency entry is typically two to three days prior to the deadline for withdrawal without penalty. Faculty members are required to report all C, D, and F grades (or U for MATH 0097, MATH 0997, MATH 0099, and MATH 0999) at midterm. Midterm grades should be made available to the students upon request, and these grades are not entered on students’ permanent records. Midterm grades for session A and session B courses should be reported directly to the student at least two days prior to the midterm point for that session. Faculty members are not required to enter these into Banner Web. Final grades for all sessions are entered in Banner Web. Instructions for entering midterm and final grades are given below. For final grades that are entered in error, grade change forms are available online at http://www.abac.edu/academics/registrar. Login to Banner Web Click FACULTY SERVICES > INSTRUCTION MENU > MID TERM GRADES or FINAL GRADES Select the Term and CRN Assign grades At midterm, only grades of C, D, F, or U should be submitted All final grades should be submitted. For each student with an F, enter the last regular class date of attendance in the column under Last Attend Date using the format MM/DD/YYYY. For each student with an F, enter the number of absences in the column under Attended Hours, including a 0 for perfect attendance. Count absences up to your reported last date of attendance. Click SUBMIT 13 Assigning an Incomplete IN GENERAL, an instructor should avoid assigning an incomplete (I) for a student’s final grade if at all possible. However, in some cases, the incomplete is warranted. The incomplete indicates that a student was producing satisfactory work, but for non-academic reasons beyond his or her control, was unable to meet the full requirements of the course. If an I is not satisfactorily removed after twelve months, the Registrar will change the I to an F. Incompletes cannot be removed by re-enrolling in and completing a course. In general, documentation explaining the extenuating circumstances is required. A grade of I cannot be changed to a withdrawal (W). The student does not need to re-enroll in the course to complete the work. To change an I to an A, B, C, D, or F, complete an Official Grade Change form. This form is available at online on the Registrar’s webpage at http://www.abac.edu/academics/registrar. 14 At the End of the Semester AFTER THE semester has concluded and your final grades have been submitted to Banner (see previous section), there are a few bookkeeping items that should be completed. Course Assessments THE SOUTHERN Association of Colleges and Schools (SACS) requires that each course have some form of quantitative assessment to determine successful delivery of each of the course outcomes. The School of Science and Mathematics uses questions from the final exams to measure this. Like the final exams, the course assessment spreadsheets are available in D2L. A single Excel workbook, Assessment Reports.xlsx, has been created and contains one sheet for each math course taught at ABAC. Use the Item Analysis scantron to complete the assessment for each class taught in the semester. A copy of this report and the Item Analysis scantron should be turned in to Nancy with the Official Class Roster displaying the final grades in each class. Melanie Partlow will need an electronic copy of your assessments as well. These are due no later than noon on the last day of Finals Week. You are encouraged to analyze the data from the course assessments and determine if any changes in teaching or methodology are warranted. A sample assessment has been included in the Appendix to this handbook. Student Evaluations of Instruction EVALUATION OF instruction is an extremely important part of the assessment process at ABAC. Toward the end of the semester, instructors should receive notice of procedures related to the student evaluation of instruction process. While students are notified of the process in varying ways, instructors, too, should remind students of completing the online process. Once the semester concludes, the instructor should download the results from TK20 as follows: Email ir@abac.edu or call 229-391-4980 to obtain your username. Go to www.abac.edu/ir and click the link titled PLANNING AND ASSESSMENT. Login to TK20. Your initial password is set to your 918#. You will be prompted to change your password and to set up a security question. Click the REPORTS tab. Choose one of the following report types: o AGGREGATE REPORT ON COURSE EVALUATION RESULTS BY MY COURSE o COMPREHENSIVE REPORT ON COURSE EVALUATION BY MY COURSE o COMPREHENSIVE REPORT ON COURSE EVALUATION COMMENTS FOR MY COURSE Select the Course Evaluation Form titled CLASSROOM INSTRUCTOR EVALUATION FORM – NEW Select the appropriate term and/or course. 15 Click DISPLAY REPORT. These reports can be exported to a Microsoft Excel spreadsheet. You are encouraged to analyze your responses, particularly the comments portion, and determine if any changes in teaching or methodology are warranted. What You Should Keep THE FOLLOWING documents should be kept and stored securely for at least five years: Course syllabus Gradebooks Attendance records Final exam with key Final exam scantrons Disability Documents Withdrawal forms Official Roster containing final grades Assessment Report 16 Other Important Policies and Facts Academic Code of Conduct ACADEMIC INTEGRITY is the responsibility of all ABAC faculty and students. Faculty members should promote academic integrity by including clear instruction on the components of academic integrity and clearly defining the penalties for cheating and plagiarism in their course syllabi. Students are responsible for knowing and abiding by the Code of Conduct and the faculty members’ syllabi. All students are expected to do their own work and to uphold a high standard of academic ethics. Academic Dishonesty Academic irregularities include, but are not limited to, giving or receiving of unauthorized assistance in the preparation of any academic assignment; taking or attempting to take, stealing, or otherwise obtaining in an unauthorized manner any material pertaining to the education process; selling, giving, lending, or otherwise furnishing to any person any question and/or answers to any examination known to be scheduled at any subsequent date; fabricating, forging, or falsifying lab or clinical results; plagiarism in any form related to themes, essays, term papers, tests, and other assignments; breaching any confidentiality regarding patient information. Disciplinary Procedures 1. If a student admits responsibility in a case of suspected academic dishonesty which does not involve a grade penalty significant enough to alter the student’s final grade in the course, the faculty member may handle the case on an informal basis by talking with the student and securing a signed statement from the student admitting responsibility and acknowledging the penalty to be imposed, if any. In all cases of suspected academic dishonesty in which the student does not admit responsibility or in which the grade penalty would alter the student’s final grade in the course, the faculty member will contact the Office of the Vice President for Academic Affairs. The VPAA will appoint a facilitator from among the faculty or staff to meet with the faculty member who reported the matter and the student(s) believed to have engaged in academic dishonesty. The purpose of the meeting will be to provide a facilitated discussion about what may have occurred. The faculty member who reported the matter, the student(s) believed to have engaged in academic dishonesty, and the facilitator are the only participants in the meeting. Audio or video recordings of these proceedings will be permitted. Following the discussion, the facilitator will submit a form summarizing the results of the proceedings to the Office of the VPAA. 2. The faculty member and student(s) may reach an agreement about the matter and, if dishonesty is involved, may determine the appropriate consequences. If 17 no resolution is agreed upon, the matter will be forwarded to the Dean of Students, who will convene the Student Judiciary Committee to make recommendations. 3. Guidelines for disciplinary procedures as outlined in Section V of the Student Code of Conduct will be applicable in cases involving alleged academic dishonesty. A written copy of the recommendations by the Student Judiciary Committee shall be sent not only to the student but also to the faculty member who made the allegations of academic dishonestly against the student, to the VPAA, and to the President. 4. Prior to any finding of responsibility on the part of the student, the faculty member shall permit the student to complete all required academic work and shall evaluate and grade all work except the assignment(s) involved in the accusation of dishonesty. The faculty member may, however, take any action reasonably necessary to collect and preserve evidence of the alleged violation and to maintain or restore the integrity of exam or laboratory conditions. 5. A student may not withdraw from a course to avoid penalty of plagiarism or other forms of academic dishonesty. Appeals Process Students have the right to appeal a Student Judiciary Committee hearing recommendation in accordance with the following procedures: 1. Requests for appeals must be submitted in writing to the Office of the Vice President for Academic Affairs within five business days of the date of the letter notifying the student of the original decision. Failure to appeal within the allotted time will render the original decision final and conclusive. 2. Written requests for appeals must be specific and detailed as to the nature and substance of the student’s complaint and must clearly indicate what action is requested. The written request should specify the grounds for appeal. Judicial recommendations may be appealed on the following grounds: A violation of due process Prejudicial treatment by the original hearing body New evidence has become available which was not available at the time of the hearing 3. Appeals shall be decided upon the record of the original proceedings, the written appeal submitted by the defendant, and any written briefs submitted by other participants. Cases will not be reheard on appeal. 4. If the student is dissatisfied with the decision of the VPAA, the student may request in writing that the President consider the appeal, but such requests must be made within five business days of the VPAA’s decision. 5. Within five business days of receiving the appeal, the President will either rule on the appeal or refer the appeal to a special Presidential Panel. The 18 Presidential Panel will review all facts and circumstances connected with the case and within five business days make a report of its findings to the President. After consideration of the Panel’s report, the President will within five business days make a decision which shall be final so far as the College is concerned. 6. Should the student be dissatisfied with the President’s decision, written application may be made to the Board of Regents for a review of the decision. This application must be submitted within twenty days following the decision of the President. Additional information regarding procedures for appealing to the Board is available in the President’s Office. The decision of the Board shall be final and binding for all purposes. Academic Support Center THE ACADEMIC Support Center, located on the first floor of the Carlton Center, includes various departments, all of which center on student success in academics at ABAC. Students can find the following support services in the Center: Student Development, tutoring (math, writing, and reading), academic testing, and learning support. In addition, the Center has Academic Support Counselors available to assist all current students with their academic needs. Student Development encompasses counseling, career development counseling and placement, disability services, national and distance learning testing, ADA compliance, and advising for students who have not declared a major. Academic Support Counselors assist students with a variety of academic needs, including but not limited to dropping/adding a class, completing ABAC withdrawals, processing transient permission, verifying student readiness for graduation, counseling students regarding degree options and standards of academic progress, assisting students with scholarship applications, helping students identify opportunities for internships and extracurricular activities, referring students to other campus resources, and providing supplemental academic advising as needed. Tutoring services are available at no cost to all ABAC students. Tutoring in mathematics and English are provided on a drop-in basis. Students should check each term for tutoring schedules for all other courses. Writing tutors serve the needs of student writers across the curriculum. Students receive assistance with all aspects of writing, from developing a thesis to reviewing a draft. Math tutoring provides assistance for all levels of mathematics courses from Learning Support through calculus. Appeal of Grades THE GRADE appeals process is intended to provide a way for students to voice a claim of discrimination, capricious or unfair dealings, or denial of due process. 19 A student who wishes to appeal a final grade in a course must first appeal in writing to the instructor who taught the course. The appeal must specify reasons indicating why the assigned grade is incorrect or inappropriate. Appeals of grades earned in a fall semester must be delivered in writing to the instructor within the first thirty calendar days from the first day of class of the following spring semester. A student wishing to contest a grade earned in spring semester or summer semester must initiate the appeal within the first thirty calendar days from the first day of class of the following fall semester. The instructor to whom the appeal is made will respond to the student in writing within ten business days of the date of the appeal. Should this response not satisfy the appeal, the student will appeal in writing within ten business days from the date of the instructor’s response to the dean of the school in which the course was taught. The dean may conduct a conference including the dean, the student, and the instructor. The dean may convene an impartial committee in the discipline to review pertinent documents. Within ten business days from the date of the student’s appeal to the dean, the dean will respond to the student in writing. Should this procedure fail to resolve the appeal, the student may appeal in writing to the Vice President for Academic Affairs (VPAA) within ten business days from the date of the dean’s response. The VPAA will then take the appeal to the Academic Review Committee, where further hearings may be conducted. Should this procedure fail to resolve the appeal, the student may appeal in writing to the President of the College within ten business days of the VPAA’s response. The judgment of the President will be considered the final and binding decision on the matter. Campus Alert System THE ABAC Campus Alert System, utilizing the Connect-Ed service, allows campus administrators to communicate quickly with students, faculty, and staff in the event of an urgent situation on campus such as class cancellations, campus closings, severe weather, or security incidences. For complete information on the Campus Alert System and to enter and/or edit your contact information, go to BANNER. ABAC also utilizes an outdoor siren for emergency alerts, primarily for weather related events. The ABAC Web home page provides the most recent emergency updates. National Oceanic Atmospheric Administration (NOAA) weather radios are located in many ABAC office buildings; telephone trees are utilized; and announcements are made over police cruiser PA systems when warranted. 20 Desire 2 Learn THE CURRENT learning management system used by USG institutions is Desire 2 Learn. You are encouraged to post syllabi and all other important documents to your course homepage within this platform. Disability Services SERVICES TO students with physical and/or learning disabilities are provided through the Student Development Center. ABAC is committed to providing an equal educational opportunity (including academic, cultural and recreational experiences, and facilities) for all qualified students with documented disabilities. 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The name and address of the Office that administers FERPA are: Family Policy Compliance Office US Department of Education 400 Maryland Avenue SW Washington, DC 20202-4605 No personally identifiable information from the education records of a student will be disclosed to any third party by any official or employee of the College without written consent of the student. FERPA guidelines state that institutions may release, without written consent, those items specified as public or directory information for currently enrolled students and for former students unless the student completes a written request with the Enrollment Services Office to prohibit the release of directory information. The request must be completed in the Enrollment Services Office by the end of the published official drop/add period or it will be assumed that the directory information may be disclosed for the current academic term. 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The student will be considered for readmission in one year (three semesters). Students placed in LS math have three semesters to complete both LS courses (MATH 0097, MATH 0997, MATH 0999, and MATH 0099), after which time, they will be suspended without appeal for one year (three semesters). 23 Resources for MATH 0097 Beginning Algebra Course Content AN UPDATED calendar will be provided to you each semester. The units are divided as below, with a unit exam given at the conclusion of each grouping. A calculator is not allowed on the first unit exam but may be used for all other unit exams and the cumulative final exam. Also included below is a list of suggested homework problems from the text. Each instructor can decide whether or not to collect and grade the homework Unit 1: The Real Number System and Algebraic Expressions 1.1 Fractions 9, 13, 35, 39, 45, 53, 57, 63, 73, 87, 91, 95, 99, 105 1.2 Exponents, Order of Operations, and Inequality 17, 23, 33, 37, 39, 45, 49, 51, 53, 57, 63, 77, 85, 93 1.3 Variables, Expressions, and Equations 11, 13, 17, 19, 23, 27, 29, 41, 45, 47, 51, 57, 61, 75, 77 Real Numbers and the Number Line 27, 33, 35, 37, 47, 53, 57, 59, 61, 65, 67, 75, 77 Adding and Subtracting Real Numbers 11, 15, 29, 35, 39, 47, 51, 55, 57, 59, 63, 77, 85, 93, 95, 99, 105, 109, 117 Multiplying and Dividing Real Numbers 11, 23, 29, 37, 39, 41, 43, 45, 47, 49, 53, 55, 65, 67, 69, 75, 77, 83, 91, 95, 103 1.4 1.5 1.6 1.8 Simplifying Expressions 9, 13, ,17, 21, 27, 39, 41, 43, 45, 57, 59, 61, 69, 75, 83, 85 Unit 2: Linear Equations and Inequalities in One Variable; Applications 2.1 2.2 2.3 2.4 2.5 2.6 7.6 2.8 The Addition Property of Equality 7, 17, 21, 25, 33, 37, 39, 45, 51, 55, 59, 63, 65, 69, 71, 75, 77 The Multiplication Property of Equality 9, 11, 15, 19, 23, 27, 31, 33, 37, 43, 47, 49, 53, 63, 69, 73, 75 More on Solving Linear Equations 15, 25, 29, 31, 35, 37, 39, 45, 47, 49, 63, 71, 73, 75, 77, 79 An Introduction to Applications of Linear Equations 7, 9, 11, 13, 15, 17, 19, 31, 33, 37, 39, 43, 51, 55 Formulas and Additional Applications from Geometry 15, 17, 19, 23, 25, 27, 31, 37, 41, 43, 45, 55, 59, 63, 73, 77, 79 Ratio, Proportion, and Percent 3, 11, 13, 23, 29, 35, 37, 47, 49, 51, 57, 59, 81, 101, 105 Variation 27, 29, 31, 33, 35, 37 Solving Linear Inequalities 24 7, 9, 11, 19, 21, 33, 43, 49, 51, 53, 83, 87, 89, 91 Unit 3: Sets; Absolute Value; Linear Equations in Two Variables 9.1 9.2 3.1 3.2 3.3 3.4 7.1 7.2 Set Operations and Compound Inequalities 7, 13, 15, 19, 21, 23, 31, 35, 39, 41, 47, 53, 59, 61 Absolute Value Equations and Inequalities 5, 9, 11, 19, 23, 27, 31, 33, 39, 43, 47, 51, 55, 67 Linear Equations in Two Variables; The Rectangular Coordinate System 1, 7, 11, 23, 29, 31, 47, 51, 59, 61, 73, 77 Graphing Linear Equations in Two Variables 1, 3, 5, 13, 15, 17, 31, 35, 39, 41, 47, 53, 67, 73 The Slope of a Line 3, 5, 11, 13, 15, 21, 27, 31, 45, 49, 51, 53, 57, 61, 63 Writing and Graphing Equations of Lines 3, 15, 21, 29, 31, 35, 41, 45, 53, 59, 65, 71, 73, 77, 79 Review of Graphs and Slopes of Lines 1, 3, 7, 9, 15, 17, 21, 33, 41, 67, 73, 75, 81, 85, 89, 105 Review of Equations of Lines; Linear Models 7, 21, 23, 29, 35, 41, 45, 47, 59, 67, 71, 77, 83, 89 Unit 4: Exponents and Polynomials 4.1 The Product Rule and Power Rules for Exponents 3, 9, 19, 21, 25, 29, 33, 39, 41, 49, 57, 65, 73, 75, 77, 81 4.2 Integer Exponents and the Quotient Rule 1, 5, 9, 23, 25, 29, 47, 51, 53, 63, 67, 69, 71, 75, 81 Adding and Subtracting Polynomials; Graphing Simple Polynomials 13, 17, 21, 23, 29, 35, 39, 59, 65, 69, 75, 79, 85, 91, 95 Multiplying Polynomials 3, 7, 15, 17, 23, 29, 33, 37, 45, 47, 55, 65, 69, 95 Special Products 11, 13, 27, 35, 43, 53, 79, 81 Dividing Polynomials 7, 13, 21, 31, 33, 37, 43, 45, 49, 55, 61, 71, 77, 83 4.4 4.5 4.6 4.7 Unit 5: Factoring and Applications 5.1 5.3 5.4 5.5 The Greatest Common Factor; Factoring by Grouping 3, 5, 9, 27, 29, 39, 43, 45, 47, 49, 51, 55, 73, 77, 85, 87 More on Factoring Trinomials 5, 17, 23, 27, 41, 43, 51, 55, 59, 67, 73, 79, 83, 85 Special Factoring Techniques 11, 17, 19, 25, 37, 39, 47, 53, 63, 69, 71, 79, 83, 89 Solving Quadratic Equations by Factoring 13, 19, 21, 23, 27, 35, 37, 39, 43, 53, 57, 61, 65, 79 25 MATH 0097 Beginning Algebra Final Exam Review 1. 2. 3. 4. 5. True or false: −5 < −2. True or false: −4 ≥ −(−5). Evaluate: 4 + [13 + (−5)]. Evaluate: [−3 + (−4)] + [5 + (−6)]. Evaluate: −5(2)+[3(−2)−4] . −3−(−1) 6. Evaluate the following expression when 𝑎 = 3 and 𝑦 = −4: −2𝑦 2 + 3𝑎. 7. Evaluate the following expression when 𝑎 = 3 and 𝑦 = −4: (5𝑎 − 2𝑦)(−2𝑎). 1 2 8. Evaluate: 3 4 ∙ 1 3. 1 7 2 ft 9. Find the perimeter of the triangle in the following figure: 5 1 ft 4 24 6 10. Evaluate: 7 ÷ 21. 11. Evaluate: 6(5+1)−9(1+1) 5(8−6)−23 1 2 2 11 . 1 10 ft 8 12. Evaluate: 4 ∙ 3 + 5 ∙ 3 . 13. Write the following statement as an equation, then solve the equation: A number minus three equals 1. 14. Write the following statement as an equation, then solve the equation: Three times a number is equal to eight more than twice the number. 4 15. Simplify: − 3 (12𝑦 + 15𝑧). 16. Simplify: −(−𝑧 + 5𝑤 − 9𝑦). 17. Simplify: −2(−3𝑘 + 2) − (5𝑘 − 6) − 3𝑘 − 5. 18. Simplify: −5(8𝑗 + 2) − (5𝑗 − 3) − 3𝑗 + 17. 19. Solve: 2(2 − 3𝑟) = −5(𝑟 − 3). 20. Solve: 9(2𝑚 − 3) − 4(5 + 3𝑚) − 5(4 + 𝑚) = −3. 1 1 1 21. Solve: 3 𝑥 − 4 𝑥 + 12 𝑥 = 3. 22. Solve: 11𝑟 − 5𝑟 + 6𝑟 = 168. 23. Solve: 9(3𝑘 − 5) = 12(3𝑘 − 1) − 51. 2(𝑥+1) 24. Solve: 4 = 3𝑥. 25. Solve: 0.2(60) + 0.05𝑥 = 0.10(60 + 𝑥). 26. John Doe has a party length submarine sandwich 59 inches long. He wants to cut it into three pieces so that the middle piece is 5 inches longer than the shortest piece and the shortest piece is 9 inches shorter than the longest piece. How long should the three pieces be? 27. Solve the following formula for 𝑥: 𝐴𝑥 + 𝐵𝑦 = 𝐶. 1 28. Solve the following formula for ℎ: 𝑉 = 3 𝜋𝑟 2 ℎ. 29. The distance between Kansas City, Missouri, and Denver is 600 miles. On a certain wall map, this is represented by a length of 2.4 feet. On the map, how many feet would there be between Memphis and Philadelphia, two cities that are actually 1000 miles apart? 3𝑦−2 6𝑦−5 30. Solve: 5 = 11 . 31. If 𝑥 varies directly with 𝑦, and 𝑥 = 10 when 𝑦 = 7, find 𝑦 when 𝑥 = 50. 32. If 𝑡 varies inversely with 𝑠, and 𝑡 = 3 when 𝑠 = 5, find 𝑠 when 𝑡 = 5. 26 33. If 𝑓 varies jointly with 𝑔2 and ℎ, and 𝑓 = 50 when 𝑔 = 4 and ℎ = 2, find 𝑓 when 𝑔 = 3 and ℎ = 6. 34. A train leaves Kansas City, Kansas, and travels north at 85 kilometers per hour. Another train leaves at the same time and travels south at 95 kilometers per hour. How long will it take before they are 315 kilometers apart? 35. How many liters of 25% acid solution must be added to 80 liters of 40% solution to obtain a solution that is 30% acid? 36. Eduardo Gomez is saving money for his college education. He deposited some money in a savings account paying 5% and $1200 less than that amount in a second account paying 4%. The two accounts produced a total of $141 interest in 1 year. How much did he invest at each rate? 37. Solve the following inequality and graph your solution on a number line: −𝑥 + 4 + 7𝑥 ≤ −2 + 3𝑥 + 6. 38. Solve the following inequality and graph your solution on a number line: 5(2𝑘 + 3) − 2(𝑘 − 8) > 3(2𝑘 + 4) + 𝑘 − 2. 39. Solve the following inequality and graph your solution on a number line: −5 ≤ 2𝑥 − 3 ≤ 9. 40. Solve the following compound inequality: 𝑥 + 5 ≤ 11 and 𝑥 − 3 ≥ −1. 41. Solve the following compound inequality: 3𝑥 < 𝑥 + 12 or 𝑥 + 1 > 10. 42. Solve: |𝑥 − 6| = 3. 43. Solve: |𝑟 + 5| > 12. 𝒙 𝒚 44. Solve: |3𝑟 − 1| ≤ 11. 0 2 1 45. Solve: |3 𝑟 − 2| = |3 𝑟 + 3|. 0 46. Complete the table of values for the given equation: 2𝑥 − 5𝑦 = 10. −5 47. Graph the linear equation3𝑥 + 7𝑦 = 14. −3 48. Find the 𝑥 and 𝑦 intercepts of the graph of the equation 5𝑥 − 2𝑦 = 20. 49. The height 𝑦 (in centimeters) of a woman is related to the length 𝑥 of her radius (the bone from the wrist to the elbow) and is approximated by the linear equation 𝑦 = 3.9𝑥 + 73.5. a) Use the equation to find the approximate heights of women with radii of lengths 20 centimeters, 26 centimeters, and 22 centimeters. b) Use the equation to find the length of the radius in a woman who is 167 centimeters tall. 50. Find the slope of the line through the points (−2, 4) and (−3, 7). 51. What is the slope of a line whose graph is parallel to the graph of 3𝑥 + 𝑦 = 7? Perpendicular to the graph of 3𝑥 + 𝑦 = 7? 52. Give the slope of each of the following lines: a) b) 53. Give the equation of the line passing through (−1, 4) and perpendicular to the line 2𝑥 + 3𝑦 = 8. 27 54. Give the equation of the line passing through (−1, 3) and having slope 𝑚 = −4. 1 55. Graph the equation using the slope and 𝑦–intercept: 𝑦 = − 𝑥 + 4. 3 56. Simplify: (−8𝑟 4 )(7𝑟 3 ). 57. Simplify: (−𝑟 4 𝑠)2 (−𝑟 2 𝑠 3 )5. 58. Simplify: (4−1 𝑎−1 𝑏 −2 ) −2 (5𝑎−3 𝑏 4 ) (3𝑎−3 𝑏 −5 )2 0 −2 . 59. Simplify: −(−10) . 60. Simplify: (7𝑦 3 + 3𝑦 2 + 2𝑦) − (18𝑦 4 − 5𝑦 2 + 𝑦). 61. Simplify: (12𝑟 5 + 11𝑟 4 − 7𝑟 3 − 2𝑟 2 ) + (−8𝑟 5 + 3𝑟 3 + 2𝑟 2 ). 62. Multiply: (6𝑥 + 1)(2𝑥 2 + 4𝑥 + 1). 63. Multiply: (2𝑥 + 3)(6𝑥 − 4). 64. Find the product: (8𝑎 − 3𝑏)2 . 65. Find the product: (5𝑥 + 2)(5𝑥 − 2). 66. Divide: 6𝑟 5 −8𝑟 4 +10𝑟 2 −2𝑟 4 𝑥 2 +11𝑥+16 . 67. Divide: . 𝑥+8 68. Factor completely: 5𝑚2 + 15𝑚𝑝 − 2𝑚𝑟 − 6𝑝𝑟. 69. Factor completely: 18𝑟 2 − 2𝑡𝑦 + 12𝑟𝑦 − 3𝑟𝑡. 70. Factor completely: 𝑚2 + 𝑚 − 20. 71. Factor completely: 𝑦 2 − 8𝑦 + 15. 72. Factor completely: 𝑟 2 − 𝑟 − 30. 73. Factor completely: 𝑏 2 + 8𝑏 + 15. 74. Factor completely: 20𝑦 2 − 39𝑦 − 11. 75. Factor completely: 12𝑠 2 + 11𝑠 − 5. 76. Factor completely: 36𝑥 2 − 16. 77. Factor completely: 4𝑧 2 − 12𝑧𝑤 + 9𝑤 2. 78. Solve: 12𝑝2 = 8 − 10𝑝. 79. Solve: 2𝑘(𝑘 + 3) = (3𝑘 + 1)(𝑘 + 3). 80. The volume of a rectangular Chinese box is given by 𝑉 = 𝐿𝑊𝐻 (where 𝐿 is length, 𝑊 is width, and 𝐻 is height). The volume of the figure below is 192 cubic units. Find its length and width. 4 𝑥+2 𝑥 81. The product of the second and third of three consecutive integers is 2 more than 10 times the first integer. Find the integers. 28 Resources for MATH 0099 Intermediate Algebra Course Content AN UPDATED calendar will be provided to you each semester. The units are divided as below, with a unit exam given at the conclusion of each grouping excepting Unit 0. Also included below is a list of suggested homework problems from the text. Each instructor can decide whether or not to collect and grade the homework Unit 0: Factoring and Applications 5.1 The Greatest Common Factor; Factoring by Grouping 3, 5, 9, 27, 29, 39, 43, 45, 47, 49, 51, 55, 73, 77, 85, 87 5.3 More on Factoring Trinomials 5, 17, 23, 27, 41, 43, 51, 55, 59, 67, 73, 79, 83, 85 Special Factoring Techniques 11, 17, 19, 25, 37, 39, 47, 53, 63, 69, 71, 79, 83, 89 Solving Quadratic Equations by Factoring 13, 19, 21, 23, 27, 35, 37, 39, 43, 53, 57, 61, 65, 79 5.4 5.5 Unit 1: Rational Expressions and Applications 6.1 The Fundamental Property of Rational Expressions 1, 19, 23, 25, 35, 37, 47, 49, 51, 53, 61, 85, 95, 101 6.2 Multiplying and Dividing Rational Expressions 5, 13, 17, 19, 27, 33, 35, 39, 51, 59, 61 Adding and Subtracting Rational Expressions 1, 7, 13, 15, 21, 35, 41, 45, 47, 51, 57, 63, 65, 73 6.4 Unit 2: Systems of Linear Equations 8.3 8.5 Solving Systems of Linear Equations by Elimination 5, 7, 15, 17, 19, 25, 27, 29, 35, 39 Applications of Systems of Linear Equations 3, 5, 7, 9, 11, 17, 23, 27, 29, 33 Unit 3: Roots, Radicals, and Root Functions 10.2 Rational Exponents 3, 7, 11, 17, 23, 39, 45, 51, 59, 61, 65, 75, 77, 81, 83 10.3 Simplifying Radical Expressions 9, 11, 25, 27, 35, 41, 43, 53, 67, 69, 71, 73, 85, 113 10.4 Adding and Subtracting Radical Expressions 3, 9, 13, 17, 19, 29, 33, 35, 41, 45, 55, 61 10.5 Multiplying and Dividing Radical Expressions 1, 7, 15, 17, 23, 27, 31, 39, 47, 49, 69, 77, 83, 85 29 10.6 Solving Equations with Radicals 1, 7, 15, 17, 21, 25, 27, 29, 39, 49 10.7 Complex Numbers 1, 7, 13, 15, 29, 35, 43, 47, 51, 63, 69, 71, 77, 89 Unit 4: Quadratic Equations, Inequalities, and Functions 7.3 Introduction to Relations and Functions 13, 15, 19, 21, 25, 27, 29, 33, 37, 39, 45 11.1 Solving Quadratic Equations by the Square Root Property 11, 19, 29, 35, 41, 45, 51, 59, 63, 67 11.3 Solving Quadratic Equations by the Quadratic Formula 5, 11, 17, 19, 27, 31, 35, 43, 59 11.4 Equations Quadratic in Form 7, 15, 23, 27, 31, 35, 41, 43, 49, 57, 59 11.5 Formulas and Further Applications 5, 7, 9, 19, 29, 35, 37, 43, 57 11.6 Graphs of Quadratic Functions 1, 7, 9, 13, 15, 27, 29, 31, 33 11.7 More about Parabolas and Their Applications 5, 9, 15, 23, 25, 35, 37, 47 Unit 5: Inverse, Exponential, and Logarithmic Functions 7.4 12.1 12.2 12.3 12.4 12.5 Function Notation and Linear Functions 5, 7, 13, 15, 23, 29, 31, 37, 49, 51 Inverse Functions 7, 9, 13, 15, 17, 19, 29, 33, 37 Exponential Functions 5, 9, 15, 17, 19, 21, 25, 27, 39 Logarithmic Functions 3, 15, 17, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47 Properties of Logarithms 3, 9, 11, 13, 15, 27, 29, 33, 35, 41, 43 Common and Natural Logarithms 5, 7, 13, 15, 35, 43, 49, 51 Final Exam Review A review or the final exam is given in the next few pages. The document begins on the next page for ease of copying. 30 MATH 0099 Intermediate Algebra Final Exam Review 1. Given the function 𝑓(𝑥) = 3𝑥 2 + 2𝑥 − 5, find 𝑓(−3). 2. Simplify each rational expression. a) 12𝑥 8 𝑦 3 𝑧 b) 9𝑥 2 𝑦 12 𝑧 4 6𝑧 2 −26𝑧−20 15+7𝑧−2𝑧 2 3. Perform the indicated operation and simplify. 𝑥 2 +6𝑥+9 2𝑥 2 +9𝑥+10 8𝑎 3𝑥 2 −𝑥−2 8𝑏 𝑥 2 −3𝑥+2 2 6 a) 𝑥 2 −9 ∙ 𝑥 2 +5𝑥+6 b) 𝑏−𝑎 + 𝑎−𝑏 c) 3𝑥 2 +23𝑥+14 ÷ 𝑥 2 +5𝑥−14 d) 𝑥 2 +2𝑥−15 − 𝑥 2 −25 4. Solve the following equations. Be sure to check your answers. 5 11𝑥+1 12 2𝑥+3 3𝑥−1 2𝑥+3 𝑥−2 6𝑥 a) 𝑥+2 = 𝑥 2 +7𝑥+10 − 𝑥+5 b) 𝑥−1 − 2 = 4𝑥−4 c) 𝑥−1 = 𝑥+1 + 𝑥 2 −1 5. Solve each system using substitution or elimination. 4𝑥 − 3𝑦 = 2 4𝑥 − 3𝑦 = 1 5𝑥 + 2𝑦 = 11 5𝑥 − 2𝑦 = 4 a) b) c) d) 8𝑥 − 6𝑦 = 5 𝑥 + 𝑦 = −5 −10𝑥 + 4𝑦 = −8 3𝑥 + 5𝑦 = −1 6. Simplify. 3 a) √−128𝑥 5 𝑦 7 𝑧 9 b) √240𝑥 6 √450𝑥 9 c) 2√128𝑥 3 + 3√72𝑥 2 − 5𝑥√32𝑥 d) 3√40𝑥 3 𝑦 5 ∙ 4√45𝑥 4 𝑦 7 7. Simplify. Rationalize the denominator as needed. 9 a) (216) − 2 3 b) 𝑦 −6/5 𝑦 −2/5 c) 6√3 d) 2√5(4√2 − 2√5) √3+√7 e) 26√2 2√3−5 8. Solve. a) √𝑥 + 7 − 3 = 14 b) √𝑥 + 1 − 2𝑥 = 𝑥 + 1 9. Solve using the quadratic formula. a) 2𝑥 2 − 24 = −8𝑥 b) 2𝑥 2 − 12𝑥 + 4 = 10 10. Write in standard form. 5+𝑖 5−𝑖 a) 7𝑖 b) 3+2𝑖 11. Solve. a) (2𝑥 − 5)2 = 81 b) (𝑥 − 3)2 = −12 c) 3𝑥 2 + 4𝑥 + 2 = 0 12. Simplify and write in standard form: (5 − 𝑖)(3 + 2𝑖). 13. If the function is one-to-one, find its inverse. a) {(3, 6), (2, 10), (5, 12)} c) 𝑓(𝑥) = 3𝑥 + 1 b) 𝑓(𝑥) = 𝑥 3 − 4 1 14. Change the function from exponential form to logarithmic form: 64 = 2−6 . 15. Change the function from logarithmic form to exponential form: log 3 81 = 4. 2 16. Write as a single logarithm: 3 log 𝜋 𝑥 − 2 log 𝜋 𝑦 − 4 log 𝜋 𝑧 + log 𝜋 𝑤. 17. Write the expression as a sum and/or difference of logarithms: log 2 18. Solve each equation. a) 162𝑥+1 = 64𝑥+3 8𝑥 2 𝑦5 . 3 𝑥 8 c) log12 𝑥 = 0 b) (2) = 27 19. Sean has some $5 bills and some $10 bills in his wallet. If he has a total of 16 bills worth a total of $110, then how many of each bill does he have? 20. Karen has 22 nickels and some quarters worth a total of $3.30. How many quarters and how many nickels does she have? 21. Brandon wants to create a flower garden in the shape of a triangle in the middle of his yard. One side is seven feet longer than the length of the shortest side. Another side is two feet less 31 than three times the shortest side. If the perimeter of the garden is thirty feet, find the equation that can be used to determine the length of each side of the triangle. 22. For the given functions, find (𝑓 ∘ 𝑔)(𝑥). a) 𝑓(𝑥) = 2𝑥 + 1, 𝑔(𝑥) = 3𝑥 2 b) 𝑓(𝑥) = 1 − 3𝑥 2 , 𝑔(𝑥) = 𝑥 + 2 23. Graph the equation and give the vertex, axis of symmetry, and indicate the maximum or minimum. a) 𝑦 = 4𝑥 2 − 4𝑥 − 15 b) 𝑦 = −2𝑥 2 − 8𝑥 + 24 24. This January, Jason placed $2000 in an IRA (Individual Retirement Account) that will pay interest of 7% per annum compounded continuously. How much money can he expect in 20 years? 25. If Kim invests $600 in an account that pays 11% interest, how much will be in the account after 3 years? 26. Solve each equation. a) log 4 𝑥 + log 4 (𝑥 − 3) = 1 b) log 5 (2𝑥 + 3) = log 5 3 c) log 𝑥 + log(𝑥 + 15) = 2 27. Rusty and Nancy Brauner are planting flats of spring flowers. Working alone, Rusty would take two hours longer than Nancy to plant the flowers. Working together, they will do the job in twelve hours. How long would it have taken each person working alone? 28. Jay can work through a stack of invoices in one hour less time than Colleen can. Working together, they take an hour and a half. How long will it take each person working alone? 29. Two pipes together can fill a large tank in two hours. One of the pipes, used alone, takes three hours longer than the other to fill the tank. How long would each pipe take to fill the tank alone? 30. A washing machine can be filled in six minutes if both the hot and cold water taps are fully opened. Filling the washer with hot water alone takes nine minutes longer than filling it with cold water alone. How long does it take to fill the washer with cold water? 31. A club swimming pool is 30 feet wide and 40 feet long. The club members want an exposed aggregate border in a strip of uniform width around the pool. They have enough material for 296 square feet. How wide can the strip be? 32 MATH 0099 Intermediate Algebra Final Exam Formula Sheet Distance, Rate & Time Rules for Exponents 𝑛 𝑎1/𝑛 = √𝑎 𝑑 = 𝑟𝑡 𝑛 𝑛 𝑛 √𝑎 ∙ √𝑏 = √𝑎𝑏 𝑎 𝑟 𝑎𝑟 ( ) = 𝑟 𝑏 𝑏 𝑛 𝑛 𝑎 √𝑎 √ = 𝑛 ,𝑏 ≠ 0 𝑏 √𝑏 (𝑎𝑟 )𝑠 = 𝑎𝑟𝑠 𝑎𝑟 = 𝑎𝑟−𝑠 𝑎𝑠 Complex Numbers 𝑎𝑟 ∙ 𝑎 𝑠 = 𝑎𝑟+𝑠 𝑎 −𝑟 𝑏 𝑟 ( ) = 𝑟 𝑏 𝑎 1 𝑎−𝑟 = 𝑟 𝑎 𝑖4 = 1 𝑖 2 = −1 𝑖 3 = −𝑖 𝑖 = √−1 Quadratics Functions Quadratic Formula Standard Form Vertex Form 2 2 𝑓(𝑥) = 𝑎𝑥 + 𝑏𝑥 + 𝑐 𝑓(𝑥) = 𝑎(𝑥 − ℎ)2 + 𝑘 −𝑏 ± √𝑏 − 4𝑎𝑐 𝑥= 2𝑎 Vertex Formula Axis of Symmetry 𝑏 𝑥=ℎ ℎ = − , 𝑘 = 𝑓(ℎ) 2𝑎 Properties of Logarithms 𝑦 = log 𝑎 𝑥 means 𝑎 𝑦 = 𝑥 log 𝑎 𝑥 𝑝 = 𝑝 ∙ log 𝑎 𝑥 Change of Base Formula log 𝑎 𝑎 = 1 log 𝑎 𝑀 + log 𝑎 𝑁 = log 𝑎 (𝑀𝑁) log 𝑎 𝑥 = log 𝑏 𝑥 log 𝑥 ln 𝑥 = = log 𝑏 𝑎 log 𝑎 ln 𝑎 33 log 𝑎 1 = 0 𝑀 log 𝑎 𝑀 − log 𝑎 𝑁 = log 𝑎 ( ) 𝑁 Resources for MATH 1111 College Algebra Course Content AN UPDATED calendar will be provided to you each semester. The units are divided as below, with a unit exam given at the conclusion of each grouping. Also included below is a list of suggested homework problems from the text. Each instructor can decide whether or not to collect and grade the homework Unit 1: Number Systems; Linear Equations in One and Two Variables 1.4 The Complex Number System 1, 5, 9, 11, 13, 18, 22, 25, 35, 37 1.7 Quadratic Equations 1, 7, 11, 15, 21, 25, 29, 37, 45, 46, 47, 49, 61, 64, 69, 77, 79 The Cartesian Coordinate System 7, 24, 25, 32, 35, 39, 44, 47 Linear Equations in Two Variables 1, 3, 5, 7, 25, 29, 35 Forms of Linear Equations 1, 3, 5, 13, 15, 17, 25, 27, 33, 35, 37, 38, 41, 43, 47 2.1 2.2 2.3 Unit 2: Equations in Two Variables; Relations and Functions 2.4 Parallel and Perpendicular Lines 1, 7, 13, 17, 21, 23, 25 2.6 Introduction to Circles 1, 7, 8, 11, 17, 27, 33, 37, 53, 55 10.1 Solving Systems of Equations by Substitution and Elimination 5, 14, 29, 31, 42, 44, 45, 47, 51, 61, 103, 105, 109, 111 3.1 Relations and Functions 1, 9, 12, 18, 19, 25, 27, 29, 31, 37, 42, 45, 49, 55, 65, 67, 73, 75 3.2 Linear and Quadratic Equations 3, 4, 5, 17, 19, 21, 31, 33, 37, 39, 43, 49, 50, 52, 53, 57, 65, 66 3.3 Other Common Functions 1, 3, 5, 7, 9, 20, 25, 29, 34 Unit 3: Creating New Functions 3.4 3.5 3.6 Variation and Multi-Variable Functions 1, 3, 9, 13, 15, 19, 21, 25, 27, 33 Transformations of Functions 1, 3, 4, 7, 13, 14, 16, 25, 27, 31, 32, 33, 35, 41, 49, 64, 67 Combining Functions 34 3, 13, 15, 24, 25, 33, 43, 46, 49, 51, 63 3.7 Inverses of Functions 1, 3, 7, 17, 19, 25, 27, 37, 43, 53, 55, 65 Unit 4: Polynomial and Rational Functions 4.1 4.2 4.3 4.4 4.5 Introduction to Polynomial Equations and Graphs 1, 3, 25, 27, 29, 33, 41, 42, 60, 62 Polynomial Division and the Division Algorithm 1, 5, 15, 19, 21, 27, 39, 45, 51 Locating Real Zeros of Polynomials 1, 3, 5, 13, 17, 41, 45, 46, 58, 73 The Fundamental Theorem of Algebra 1, 3, 7, 13, 19, 23, 25, 33 Rational Functions and Rational Inequalities 1, 3, 5, 11, 21, 23, 25, 33, 39, 41, 49, 51 Unit 5: Exponential and Logarithmic Functions 5.1 5.2 5.3 5.4 5.5 Exponential Functions and Their Graphs 1, 5, 7, 19, 21, 23, 25, 31, 35, 37 Applications of Exponential Functions 1, 3, 5, 7, 9, 13, 16 Logarithmic Functions and Their Graphs 1, 4, 15, 17, 24, 25, 28, 33, 37, 41, 47, 61, 69, 75, 83 Properties and Applications of Logarithms 3, 7, 15, 21, 25, 27, 42, 43, 57, 61,71, 81, 83 Exponential and Logarithmic Equations 3, 5, 11, 19, 27, 31, 41, 50, 53, 75, 79 Final Exam Review and Formula/Fact Sheet A review or the final exam and a final exam formula sheet are given on the next few pages. These documents begin on new pages for ease of copying and distribution. 35 MATH 1111 College Algebra Final Exam Review 1. 2. 3. 4. Find 𝑓(−1) when 𝑓(𝑥) = −2𝑥 2 + 𝑥 − 1. Find 𝑓(−3) when 𝑓(𝑥) = 3𝑥 2 + 2𝑥 + 1. Determine if the following is a function of 𝑥: 𝑦 = ±√1 − 2𝑥. 3𝑥−1 Determine if the following is a function of 𝑥: 𝑦 = 𝑥+2 . 5. Find the domain of the following function: 𝑓(𝑥) = √3𝑥 − 12. 2𝑥 6. Find the domain of the following function: 𝑓(𝑥) = 2 . 1 𝑥 −4 1 7. If 𝑓(𝑥) = 1 + 𝑥 and (𝑥) = 𝑥, find (𝑓𝑔)(𝑥) and state its domain. 1 1 8. If 𝑓(𝑥) = 1 + 𝑥 and 𝑔(𝑥) = 𝑥, find (𝑓 − 𝑔)(𝑥) and state its domain. 9. Determine if the following function is symmetric with respect to the origin, 𝑦–axis, or 𝑥–axis: 𝑓(𝑥) = 3𝑥 . 𝑥 2 +9 10. Determine if the following function is symmetric with respect to the origin, 𝑦–axis, or 𝑥–axis: 𝑓(𝑥) = 𝑥 4 − 1. 11. For the graph of 𝑓(𝑥) = −3𝑥 2 + 5𝑥, a) Is the point (−1, 2) on the graph of 𝑓? b) If 𝑥 = −2, what is 𝑓(𝑥)? What point is on the graph of 𝑓(𝑥)? c) If 𝑓(𝑥) = −2, what is 𝑥? What point is on the graph of 𝑓(𝑥)? d) What is the domain of 𝑓? e) List the 𝑥–intercepts, if any, of the graph of 𝑓. f) List the 𝑦–intercept, if there is one, of the graph of 𝑓. g) What are the zeros of 𝑓? 12. Use your calculator to determine the intervals on which the following function is increasing, decreasing, or constant: 𝑓(𝑥) = 𝑥 5 − 𝑥 3 . 𝑥2 if 𝑥 < 0 13. If 𝑓(𝑥) = {2 if 𝑥 = 0, find 𝑓(−2), 𝑓(2), and 𝑓(0). 2𝑥 + 1 if 𝑥 > 0 14. The graph of 𝑦 = 𝑥 3 is shifted left by 3 units, reflected across the 𝑥–axis, and shifted down 5 units. Write the resulting equation. 15. The graph of 𝑦 = 𝑥 2 is shifted right by 3 units, reflected across the 𝑦-axis, and shifted up 5 units. Write the resulting equation. 16. Beth has 3000 feet of fencing available to enclose a rectangular field. One side of the field lies along a river, so only three sides require fencing. Express the area 𝐴 of the rectangle as a function of 𝑥, where 𝑥 is the length of the side parallel to the river. For what value of 𝑥 is the area largest? 17. Find the equation in slope-intercept form of the line containing the points (1, 3) and (−1, 2). 18. Find an equation of the line perpendicular to the line 𝑥 − 2𝑦 = −5 and containing the point (0, 4). 19. Find an equation of the line parallel to the line 2𝑥 − 𝑦 = −2 and containing the point (0, 0). 20. The monthly cost 𝐶, in dollars, of a certain cellular phone plan is given by the function 𝐶(𝑥) = 0.38𝑥 + 5, where 𝑥 is the number of minutes used. a) What is the cost if you talk on the phone for 𝑥 = 50 minutes? b) Suppose that your monthly bill is $29.32. How many minutes did you use the phone? c) Suppose that you budget yourself $60 per month for the phone. What is the maximum number of minutes that you can talk? 5𝑥 − 𝑦 = 13 21. Solve the following system of linear equations: { . 2𝑥 + 3𝑦 = 12 22. A restaurant manager wants to purchase 200 sets of dishes. One design costs $25 per set, while another costs $45 per set. If she only has $7400 to spend, how many of each design should she buy? 36 23. A bank loaned out $12,000, part of it at the rate of 8% per year and the rest at the rate of 18% per year. If the interest received totaled $1000, how much was loaned at 8%? 24. Find the standard form of the equation of the circle with center at (1, 0) and containing the point (−3, 2). 25. Find the standard form of the equation of the circle endpoints of a diameter at (4, 3) and (0, 1). 26. The function 𝐴(𝑥) = 𝑥(𝑥 + 2) describes the area 𝐴 of the opening of a rectangular window in which the length is 2 feet more than the width, 𝑥. Find the dimensions of the window if the area of the opening is to be 143 square feet by solving 𝐴(𝑥) = 143. 27. Solve 𝑥 2 + 6𝑥 + 3 = 3. 28. An object is propelled vertically upward with an initial velocity of 20 meters per second. The distance 𝑠 (in meters) of the object from the ground after 𝑡 seconds is 𝑠(𝑡) = −4.9𝑡 2 + 20𝑡. a) When will the object be 15 meters above the ground? b) When will it strike the ground? c) Will the object reach a height of 100 meters? 29. Determine, without graphing, whether the following function has a maximum or minimum value, then find that value: 𝑓(𝑥) = −𝑥 2 + 10𝑥 − 4. 30. Determine, without graphing, whether the following function has a maximum or minimum value, then find that value: 𝑓(𝑥) = 4𝑥 2 − 8𝑥 + 3. 31. Find the vertex for the following parabola: 𝑓(𝑥) = 𝑥 2 − 2𝑥 − 3. 32. Find the complex zeros of the function 𝑓(𝑥) = 𝑥 2 + 𝑥 + 1. 33. Determine the character of the zeros of the equation 2𝑥 2 + 3𝑥 − 4 = 0. 34. Form a polynomial of degree 3 with zeros: −2 of multiplicity 2, and 4 of multiplicity 1. 35. Use the Factor Theorem to determine whether 𝑥 + 3 is a factor of 𝑓(𝑥) = −4𝑥 3 + 5𝑥 2 + 8. 36. Use the Factor Theorem to determine whether 𝑥 − 2 is a factor of 𝑓(𝑥) = 3𝑥 4 − 6𝑥 3 − 5𝑥 + 10. 37. Find all real zeros of 𝑓(𝑥) = 𝑥 4 − 𝑥 3 − 6𝑥 2 + 4𝑥 + 8, then use the real zeros to factor 𝑓(𝑥) completely. 38. Find the complex zeros of the function 𝑓(𝑥) = 𝑥 4 + 2𝑥 3 + 22𝑥 2 + 50𝑥 − 75. 3𝑥 39. Locate any vertical, horizontal, and/or oblique asymptotes of the following function: 𝑓(𝑥) = . 𝑥+4 40. Locate any vertical, horizontal, and/or oblique asymptotes of the following function: 𝑓(𝑥) = 𝑥 2 −3𝑥−4 . 𝑥+2 41. Locate any vertical, horizontal, and/or oblique asymptotes of the following function: 𝑓(𝑥) = 42. Locate any vertical, horizontal, and/or oblique asymptotes of the following function: 𝑓(𝑥) = 43. Identify the intercepts of the following function: 𝑓(𝑥) = 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 𝑥 2 +𝑥−12 . 𝑥 2 −4 3𝑥+3 . 2𝑥+4 Identify the intercepts of the following function: 𝑓(𝑥) = Solve the quadratic inequality 6𝑥 2 < 6 + 5𝑥. 𝑥−3 Solve the rational inequality 𝑥+2 ≥ 0. Solve the polynomial inequality 𝑥 3 − 9𝑥 ≤ 0. If 𝑓(𝑥) = 2𝑥 2 − 1 and 𝑔(𝑥) = 3𝑥, find the composite function (𝑓 ∘ 𝑔)(𝑥). 𝑥 3 If 𝑓(𝑥) = 2𝑥+3 and 𝑔(𝑥) = 4𝑥−2, find the composite function (𝑓 ∘ 𝑔)(𝑥) 3 Find the inverse of the function 𝑓(𝑥) = √𝑥 + 8. 3𝑥+1 Find the inverse of the function 𝑓(𝑥) = −𝑥 . Determine if the following function is one–to–one: 𝑓(𝑥) = |𝑥 + 5|. Determine if the following function is one–to–one: 𝑓(𝑥) = 𝑥 3 − 7. Solve for 𝑥: 22𝑥−1 = 4. 2 Solve for 𝑥: 92𝑥 ⋅ 27𝑥 = 3−1 . Write the exponential equation 3𝑥 = 4.6 in logarithmic form. Write the logarithmic equation ln 4 = 𝑥 in exponential form. 37 5−𝑥 2 . 3𝑥 4 5 4𝑥 . 𝑥 3 −1 58. Use the change of base formula to evaluate log √5 8 correct to four decimal places. 59. Expand ln 60. 61. 62. 63. 3 5𝑥 2 √1−𝑥 . 4(𝑥+1)2 Condense 2 log(𝑥 + 1) − log(𝑥 + 3) − log(𝑥 − 1).. Solve for 𝑥: log 3(𝑥 + 12) + log 3 (𝑥 + 4) = 2. Solve for 𝑥: log 𝑎 (𝑥 − 1) − log 𝑎 (𝑥 + 6) = log 𝑎 (𝑥 − 2) − log 𝑎 (𝑥 + 3). Find the amount that results from an investment of $100 invested at 4% compounded quarterly after a period of 2 years. 64. Find the amount that results from an investment of $100 invested at 12% compounded continuously after a period of 3.75 years. 65. The size 𝑃 of a certain insect population at time 𝑡 (in days) obeys the function 𝑃(𝑡) = 500𝑒 0.02𝑡 . a) Determine the number of insects at 𝑡 = 0 days. b) What is the growth rate of the insect population? c) What is the population after 10 days? d) When will the insect population reach 800? e) When will the insect population double? 38 MATH 1111 College Algebra Final Exam Formula & Fact Sheet Distance Formula Midpoint Formula Circle Formula (standard form) Linear Functions & Relations The distance from (𝑥1 , 𝑦1 ) to (𝑥2 , 𝑦2 ) is given by 𝑑 = √(𝑥2 − 𝑥1 )2 + (𝑦2 − 𝑦1 )2 . 𝑥1 +𝑥2 𝑦1 +𝑦2 , 2 ). 2 The midpoint of the segment from (𝑥1 , 𝑦1 ) to (𝑥2 , 𝑦2 ) is( (𝑥 − ℎ)2 + (𝑦 − 𝑘)2 = 𝑟 2 Slope–intercept form: 𝑦 = 𝑓(𝑥) = 𝑚𝑥 + 𝑏 Standard form: 𝐴𝑥 + 𝐵𝑦 = 𝐶 Point–slope form: 𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1 ) Quadratic Functions General form: 𝑦 = 𝑓(𝑥) = 𝑎𝑥 2 + 𝑏𝑥 + 𝑐, 𝑎 ≠ 0 Standard form: 𝑦 = 𝑓(𝑥) = 𝑎(𝑥 − ℎ)2 + 𝑘, 𝑎 ≠ 0 The Quadratic Formula Compound Interest Formulas Rational Functions The solutions of 𝑎𝑥 2 + 𝑏𝑥 + 𝑐 = 0, 𝑎 ≠ 0, are given by 𝑥 = 𝐴 = accumulated amount 𝑟 = annual interest rate 𝑡 = time (years) −𝑏±√𝑏2 −4𝑎𝑐 . 2𝑎 𝑃 = principle 𝑛 = number of compoundings per year 𝑟 𝑛𝑡 𝐴 = 𝑃 (1 + ) 𝑛 𝐴 = 𝑃𝑒 𝑟𝑡 𝑝(𝑥) Consider a function of the form 𝑦 = 𝑓(𝑥) = 𝑞(𝑥). Assuming that 𝑝(𝑥) and 𝑞(𝑥) are polynomial functions with no common factors, we find the Vertical asymptote (VA) by setting 𝑞(𝑥) = 0 and solving for x. Horizontal asymptote (HA) by considering the degree of the numerator (𝑛) and the degree of the denominator (𝑚). If 𝑛 < 𝑚, the HA is 𝑦 = 0. If 𝑛 = 𝑚, the HA is given by the ratio of the leading coefficients for 𝑝(𝑥) and 𝑞(𝑥). If 𝑛 = 𝑚 + 1, there is an oblique asymptote which can be found via long division. If 𝑛 > 𝑚, there is no HA. Logarithms Power Rule: log 𝑎 𝑀𝑟 = 𝑟 log 𝑎 𝑀 Product Rule: log 𝑎 𝑀𝑁 = log 𝑎 𝑀 + log 𝑎 𝑁 𝑀 Quotient Rule: log 𝑎 𝑁 = log 𝑎 𝑀 − log 𝑎 𝑁 Change of Base: log 𝑎 𝑀 = log𝑏 𝑀 log𝑏 𝑎 39 Resources for MATH 1112 Trigonometry Course Content AN UPDATED calendar will be provided to you each semester. The units are divided as below, with a unit exam given at the conclusion of each grouping. Also included below is a list of suggested homework problems from the text. Each instructor can decide whether or not to collect and grade the homework Unit 1: Trigonometric Functions 6.1 Radian and Degree Measure of Angles 9, 18, 23, 30, 41, 46, 48, 49, 59, 61, 71, 75, 87, 89, 90, 98 6.2 Trigonometric Functions of Acute Angles 15, 16, 26, 31, 39, 47, 51 Trigonometric Functions of Any Angle 16, 21, 23, 27, 31, 35, 65, 67, 73, 81, 87 Graphs of Trigonometric Functions 7, 9, 14, 15, 16, 18, 19, 21, 39, 41, 45 6.3 6.4 Unit 2: Analytic Trigonometry 6.5 Inverse Trigonometric Functions 5, 25, 27, 29, 35, 43, 44, 47, 49, 57, 65 7.1 Fundamental Identities and their Uses 1, 3, 5, 7, 9, 10, 11 Sum and Difference Identities 4, 25, 37, 47, 51, 55, 57, 75 Product-Sum Identities 5, 13, 15, 19, 27, 29, 42 7.2 7.3 Unit 3: Applications of Trigonometry 7.4 Trigonometric Equations 9, 10, 17, 31, 35, 39, 59, 63, 65, 67, 70, 85 8.1 The Law of Sines and the Law of Cosines 4, 5, 17, 25, 28, 29, 37, 45, 59, 70, 72, 76, 88, 90, 91 Unit 4: Additional Topics in Trigonometry 8.2 8.4 8.5 Polar Coordinates and Polar Equations 1, 2, 7, 10, 14, 17, 22, 27 Trigonometric Form of Complex Numbers 1, 6, 18, 21, 35, 41, 42, 45, 50, 53, 55, 59, 70, 76 Vectors in the Cartesian Plane 11, 21, 27, 33, 36, 43, 46, 50 40 8.6 The Dot Product and its Uses 1, 11, 12, 13, 15, 17, 19, 25, 27, 31, 35, 39, 41, 45, 49, 54 Final Exam Review and Formula Sheet A review or the final exam and a final exam formula sheet are given on the next few pages. These documents begin on new pages for ease of copying and distribution. 41 MATH 1112 Trigonometry Final Exam Review 1. Convert 105° to exact radian measure. 2. Convert 42° to radian measure to the nearest hundredth of a radian. 3. Find the length of the arc that subtends an central angle of 150° on a circle if radius 5cm. 5 4. Find the equivalent number of radians in 8 revolution. 5. A wheel is rotating at 100 revolutions per second. Find the angular velocity in radians per second. 6. Find the area of a sector of a circle with a radius of 10 centimeters and a central angle of 120°. Round to the nearest hundredth of a square centimeter, and use the 𝜋 key. 12 7. Find the area of the shaded region to the right. Round to the nearest 50° hundredth. 4 5 8. If 𝜃 is an acute angle in standard position and cos 𝜃 = , find sin 𝜃. 𝜋 9. Find the exact value of cos 6 . 10. Find the value of the six trigonometric functions of the angle 𝜃 in standard position with the terminal side passing through the point (−4. 3). 11. Given that sin 𝜃 = − √3 for 2 an angle in quadrant IV, find the exact value of cot 𝜃. 12. Use a calculator to evaluate sec(−0.6). Round to four decimal places. 13. Evaluate sin 20𝜋 . 3 𝑥 2 14. State the amplitude and period of the graph of 𝑓(𝑥) = 3 sin . 𝑥 15. State the period of the function 𝑓(𝑥) = −2 tan 4. 𝑥 𝜋 16. Sketch the graph of 𝑓(𝑥) = −2 sin (3 + 2 ). 17. Sketch the graph of 𝑓(𝑥) = − cot 2𝑥. 𝑥 18. List the minimum point(s) for the graph of 𝑓(𝑥) = csc with 0 ≤ 𝑥 ≤ 2𝜋. 2 𝑥 19. Find the phase shift and period for the function 𝑓(𝑥) = 3 cos (2 + 𝜋). 20. Sketch the graph of 𝑓(𝑥) = 2 sin 3𝑥. 21. Write sin 2𝑥 cos 3𝑥 − cos 2𝑥 sin 3𝑥 in terms of a single trigonometric function. 24 5 22. Given cos 𝛼 = − 25 with 𝛼 in quadrant II and sin 𝛽 = − 12 with 𝛽 in quadrant IV, find sin(𝛼 + 𝛽). 23. Write cos4 𝜃 − sin4 𝜃 in terms of a single trigonometric function. 24. Use a half-angle identity to evaluate tan 22.5°. 4 25. Find the exact value of tan 2𝜃 given sin 𝜃 = 5 and 𝜃 is in quadrant I. 26. Sketch the graph of 𝑓(𝑥) = csc 2𝑥 . 3 27. Write 2 sin 4𝑥 cos 4𝑥 in terms of a single trigonometric function. 1 28. Find the exact value of sin−1 − 2. 29. Find the approximate radian value for cos −1 (−0.2915). 30. Find the approximate degree value for sin−1 0.6257. 5 31. Evaluate sin (cos−1 13). 42 4 32. Solve for 𝑦: 𝑦 = tan (sin−1 5). 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. Solve the equation 2 tan2 𝜃 + 4 tan 𝜃 − 1 = 0, 0° ≤ 𝜃 < 360°. Round to the nearest tenth. Solve the equation 5 sin 𝑥 − 3 = 0, 0° ≤ 𝑥 < 360°. Round to the nearest tenth. Find the measure of angle 𝛼 of a right triangle if 𝑐 = 25cm and 𝑏 = 14cm. Solve triangle 𝐴𝐵𝐶 if 𝛼 = 66°, 𝛽 = 47°, and 𝑐 = 52in. Find 𝛽 in triangle 𝐴𝐵𝐶 if 𝑎 = 24m, 𝑏 = 47m, and 𝛼 = 36°. In triangle 𝐴𝐵𝐶, 𝛾 = 110°, 𝑎 = 10km, and 𝑏 = 20km. Find side 𝑐. In triangle 𝐴𝐵𝐶, 𝑎 = 21ft, 𝑏 = 19ft, and 𝑐 = 25ft. Find angle 𝛽. Given angle 𝛾 measures 61°, side 𝑎 measures 10 yards, and side 𝑏 measures 6 yards, find the area o triangle 𝐴𝐵𝐶. Round to the nearest square yard. Given 𝑎 = 24m, 𝑏 = 28m, and 𝑐 = 30m, find the area of triangle 𝐴𝐵𝐶. Round to the nearest square meter. Find |𝑧| if 𝑧 = 5 − 3𝑖. Write 𝑧 = −1 − √3𝑖 in polar form. Write 𝑧 = 6(cos 60° + 𝑖 sin 60°) in standard 𝑎 + 𝑏𝑖 form. A vector has a magnitude of 12 and a direction of 80°. Write its horizontal and vertical components. Round to the nearest tenth. Find the product of 2(cos 55° + 𝑖 sin 55°) and 6(cos 175° + 𝑖 sin 175°). 47. Complete the identity cos2 𝜃 sin 𝜃 + sin 𝜃. 48. Find the position vector of a vector with initial point (−2, −4) and terminal point (5, 6). 49. From the top of a cliff 1,300 feet above sea level, the angle of depression to a ship is 15°. What is the distance from the top of the cliff to the ship? Round to the nearest foot. 50. The measure of the angle of elevation from a position 65 feet from the base to the top of a flagpole is 32°. Find the height of the flagpole to the nearest tenth of a foot. 51. A boat travels at 55 miles per hours for 1 hour at a bearing of 315°. The boat then travels at 50 miles per hour for 2 hours at a bearing of 225°. At the end of these 3 hours, how far is the boat from the starting point? Round to the nearest mile. 52. To find the distance across a canyon, a surveying team locates points 𝐴 and 𝐵 on one side of the canyon and point 𝐶 on the other side of the canyon. The distance between 𝐴 and 𝐵 is found to be 92 yards. The angle 𝐶𝐴𝐵 is 89°. Find the distance across the canyon. Round to the nearest yard. 53. From a certain port, a ship travels 80 miles east and then turns 90° and travels 65 miles to the south. Find the bearing and distance of the ship from port. Round to the nearest tenth. 54. A belt traveling at a rate of 25 feet per second drives a pulley at a speed of 800 revolutions per minute. Find the radius of the pulley to the nearest hundredth of an inch. 55. A car is traveling 55 miles per hour. If the radius of the wheel is 11 inches, find the angular velocity in revolutions per minute. 56. Solve for 𝑥 over the interval 0 ≤ 𝑥 < 2𝜋: sin 𝑥 = sin 𝑥 cos 𝑥. 57. Solve for 𝑥 over the interval 0 ≤ 𝑥 < 2𝜋: (sec 𝑥 + 2)(tan 𝑥 − 1) = 0. 𝜋 58. Convert (6, 6 ), given in polar coordinates, to rectangular coordinates. 59. Convert (2, −2), given in rectangular coordinates, to polar coordinates. 60. Find the measure of the angle between vectors 𝐯 = 4𝐢 − 3𝐣 and 𝐰 = 2𝐢 + 5𝐣. 43 MATH 1112 Trigonometry Final Exam Formula Sheet Fundamental Identities sin 𝜃 cos 𝜃 cos 𝜃 cot 𝜃 = sin 𝜃 csc 𝜃 = sec 𝜃 = 1 cos 𝜃 sin2 𝜃 + cos2 𝜃 = 1 tan2 𝜃 + 1 = sec 2 𝜃 1 + cot 2 𝜃 = csc 2 𝜃 𝜃 1 − cos 𝜃 sin ( ) = ±√ 2 2 𝜃 1 + cos 𝜃 cos ( ) = ±√ 2 2 𝜃 1 − cos 𝜃 tan ( ) = 2 sin 𝜃 sin(2𝜃) = 2 sin 𝜃 cos 𝜃 cos(2𝜃) = cos2 𝜃 − sin2 𝜃 cos(2𝜃) = 2 cos 2 𝜃 − 1 cos(2𝜃) = 1 − 2 sin2 𝜃 Half–Angle Formulas Double–Angle Formulas 1 sin 𝜃 1 cot 𝜃 = tan 𝜃 tan 𝜃 = Sum and Difference Formulas Sum to Product Formulas Product to Sum Formulas Area of a Triangle 1 sin 𝛼 sin 𝛽 = [cos(𝛼 − 𝛽) − cos(𝛼 + 𝛽)] 2 1 cos 𝛼 cos 𝛽 = [cos(𝛼 − 𝛽) + cos(𝛼 + 𝛽)] 2 1 sin 𝛼 cos 𝛽 = [sin(𝛼 + 𝛽) + sin(𝛼 − 𝛽)] 2 1 𝐴 = 𝑎𝑏 sin 𝛾 2 Law of Cosines Complex Numbers 𝑧1 = 𝑟1 (cos 𝜃1 + 𝑖 sin 𝜃1 ) 𝑧2 = 𝑟2 (cos 𝜃2 + 𝑖 sin 𝜃2 ) 2 tan 𝜃 1 − tan2 𝜃 tan 𝛼 + tan 𝛽 sin(𝛼 + 𝛽) = sin 𝛼 cos 𝛽 + cos 𝛼 sin 𝛽 tan(𝛼 + 𝛽) = sin(𝛼 − 𝛽) = sin 𝛼 cos 𝛽 − cos 𝛼 sin 𝛽 1 − tan 𝛼 tan 𝛽 tan 𝛼 − tan 𝛽 cos(𝛼 + 𝛽) = cos 𝛼 cos 𝛽 − sin 𝛼 sin 𝛽 tan(𝛼 − 𝛽) = cos(𝛼 − 𝛽) = cos 𝛼 cos 𝛽 + sin 𝛼 sin 𝛽 1 + tan 𝛼 tan 𝛽 𝛼+𝛽 𝛼−𝛽 sin 𝛼 + sin 𝛽 = 2 sin ( ) cos ( ) 2 2 𝛼−𝛽 𝛼+𝛽 sin 𝛼 − sin 𝛽 = 2 sin ( ) cos ( ) 2 2 𝛼+𝛽 𝛼−𝛽 cos 𝛼 + cos 𝛽 = 2 cos ( ) cos ( ) 2 2 𝛼+𝛽 𝛼−𝛽 cos 𝛼 − cos 𝛽 = −2 sin ( ) sin ( ) 2 2 Law of Sines Vectors v and w 𝐯 = 𝑎1 𝐢 + 𝑏1 𝐣 and 𝐰 = 𝑎2 𝐢 + 𝑏2 𝐣 tan(2𝜃) = 𝐴 = √𝑠(𝑠 − 𝑎)(𝑠 − 𝑏)(𝑠 − 𝑐), where 1 𝑠 = (𝑎 + 𝑏 + 𝑐) 2 sin 𝛼 sin 𝛽 sin 𝛾 = = 𝑎 𝑏 𝑐 𝑐 2 = 𝑎2 + 𝑏 2 − 2𝑎𝑏 cos 𝛾 𝐯 Unit vector in the same direction as 𝐯 is 𝐮 = . ‖𝐯‖ 𝐯∙𝐰 If θ is between 𝐯 and 𝐰, cos 𝜃 = . ‖𝐯‖ = √𝑎12 + 𝑏12 ‖𝐯‖‖𝐰‖ 𝑧1 𝑧2 = 𝑟1 𝑟2 [cos(𝜃1 + 𝜃2 ) + 𝑖 sin(𝜃1 + 𝜃2 )] 𝑧1 𝑟1 Complex number 𝑧 = 𝑎 + 𝑏𝑖 = [cos(𝜃1 − 𝜃2 ) + 𝑖 sin(𝜃1 − 𝜃2 )] Conjugate of 𝑧 is 𝑧 = 𝑎 − 𝑏𝑖. 𝑧2 𝑟2 |𝑧| = √𝑎2 + 𝑏 2 = √𝑧 ∙ 𝑧 𝛼𝐯 = 𝛼𝑎1 𝐢 + 𝛼𝑏1 𝐣 𝐯 ∙ 𝐰 = 𝑎1 𝑎2 + 𝑏1 𝑏2 44 Appendix Sample Assessment Report ABAC School of Science and Mathematics Department of Mathematics Course Assessment Report : MATH 0097 Beginning Algebra Semester Code: Instructor: CRN(s): 123456 J. Doe 78910 Submit this form and Item Analysis (green sheet) to Nancy by the deadline for grade submission. Change only cells highlighted in gray. Excel will calculate all other values. Number of Students taking Final Exam: # Incorrect 25 Total Correct % Correct Outcome % Outcome 1 Students shall demonstrate proficiency with operations on signed numbers and correctly evaluate algebraic expressions. O1A (1) 1 24 96 92 O1B (3) 2 23 92 O1C (20) 3 22 88 Outcome 2 Students shall demonstrate the ability to solve linear equations, literal equations, absolute value equations, and linear inequalities in one variable. O2A (2) 4 21 84 80 O2B (5) 5 20 80 O2C (11) 6 19 76 Outcome 3 Students shall demonstrate the ability to graph solutions to linear equations in two variables and write equations of lines. O3A (7) 7 18 72 68 O3B (16) 8 17 68 O3C (21) 9 16 64 Outcome 4 Students shall demonstrate the ability to operate on polynomials. O4A (6) 10 15 O4B (12) 11 14 O4C (19) 12 13 60 56 52 Outcome 5 Students shall demonstrate the ability to factor polynomials and solve equations by factoring. O5A (14) 13 12 48 O5B (23) 14 11 44 O5C (25) 15 10 40 Outcome 6 Students shall demonstrate the ability to formulate equations and solve application problems. O6A (9) 16 9 36 O6B (18) 17 8 32 45 56 44 34 Sample Syllabus MATH [####] [Course Name] CRN [#####] Instructor: [Name] [Phone #] School Office: Nancy Brannen (229) 391 – 5100 Syllabus [Office Location] [email address] [Spring/Summer/Fall] [Year] [Website, if any] Britt Hall 225 nbrannen@abac.edu Office Hours: [Office Hours] Class Hours: [Class days, time, and location] Text: [Text title and author] Course Requirements: [All course requirements, i.e. textbook, MyMathLab access code, calculator, etc.] Homework: [Include a brief description of the course homework. Will you collect written homework? Describe the online homework and the policies pertaining to it (MML). Are due dates already set or will they be announced? Is late submission allowed?] Learning Support University System of Georgia Policy: In every term of attendance, students must first register for all required Learning Support courses before being allowed to register for other courses. Students may not withdraw from Learning Support courses without also withdrawing from their credit classes. All students who complete Withdrawal papers for a Learning Support class must have their forms signed by Charla Sutton Terrell in the Academic Support Center. [Needed in syllabi for Learning Support courses only.] Learning Support Math: Students are allowed three attempts for Math 0097, MATH 0997, MATH 0999, and Math 0099 combined. If a student does not pass Math 0097 at the end of the second attempt, the student will be suspended for one year. Students in Math 0099 must pass the course and the exit Compass exam by the end of their third and final attempt taking Learning Support math. Students who fail to pass one or both of the requirements will be suspended from ABAC for one year. A combination of both MATH 0097 and MATH 0099 cannot exceed three attempts. [Needed in syllabi for Learning Support courses only.] Volunteer/Audit LS Courses: A student who has exited or exempted a Learning Support course may not take that Learning Support course without first signing a Volunteer/Audit form. Financial Aid will not be awarded for auditing courses or taking courses not required. [Needed in syllabi for Learning Support courses only.] 46 Withdrawal & Drop/Add Deadlines: The deadline for Drop/Add is [date] at 430pm. The instructor’s signature is required for Drop/Add after this time. Students may withdraw by 430pm on [date] and receive a W in the class. Students withdrawing after 430pm on [date] will be assigned a grade of WF. Students wishing to withdraw from a Learning Support course should discuss this option with his or her advisor and/or Mrs. Charla Sutton Terrell. Grades and Student Evaluation: Students will interpret scientific principles, theories, and laws at they apply to the dynamic nature of scientific disciplines. Students enrolled in classes in the School of Science and Mathematics will be expected to demonstrate an understanding of subject matter requiring higher order processing skills. Examination questions may include essay, synthesis, analysis, and application; as well as completion, multiple-choice, true/false, and matching. Computational skills and drawing or diagramming may also be required. Learning disabilities should be brought to the instructor’s attention and arrangements made for special needs the first week of classes. Homework [may be/is] assigned and collected for a grade and should be used as review for each test. These may come in the form of a quiz. Chapter reviews or review sheets may be given from time to time as homework or extra credit at the instructor’s discretion. Cell phones, pagers, and all other electronic communication devices must be turned off during class each day. No hats or other head gear is allowed on exam day. Math 97/997/99/999 Grading Rubric: Final – 20% Midterm – 15% MML/Homework – 30% Quizzes – 35% Other Courses Rubric Final – 20% Tests – 50% MML/Homework – 30% Quizzes – 20% Absences: Students are expected to attend class each session. A record of your attendance will be kept and sent to the Registrar with your final grade. If a student arrives after the attendance has been taken or leaves before class has ended, he or she will be marked tardy for the class period. Note that two tardies count as one absence. An excused absence will be required for all make-up quizzes or exams. In order of an absence to be excused, appropriate documentation (doctor’s notice, authorization from the Vice President, etc.) must be submitted to the instructor. [Add any particular attendance policies for the course, i.e. the department attendance policy for Learning Support courses.] Exam Days: All book bags, books, phones, etc. shall be placed in the front of the classroom. Nothing except pen/pencil and calculator is allowed at a student’s desk before the exam begins. If a phone is found on the desk or in view during a test, the student will be considered cheating and will receive a zero on the exam. [Include any other policies specific to exam days.] 47 Expectations: Students are expected to: – arrive for class with proper tools (notebook, pencil, calculator) – keep personal phone out of sight and on silent during class time (speak to your instructor before class should you experience an emergency) – refrain from cursing during class – be in class on time (two tardies count as one absence) – treat faculty in a kind and courteous manner – present assignments on the assigned date – be attentive and actively participate in class – wear no hats or other head gear on exam day Faculty are expected to: – begin class on time – be prepared for class (textbook, markers, calculator, handouts) – treat students in a kind and courteous manner – provide students with a schedule of events Repercussions: Students will be asked to leave class and will be marked absent for the day if: – they arrive in class without the proper tools – they are found sleeping, cursing, or engaging in disruptive behavior – they are texting or receiving phone calls during class (except for emergencies) – they leave the room to answer a phone call (except for emergencies). Final Exam: The final will be [DAY] at [TIME]. Students are required to provide their own scantron, pencil, and calculator for the final exam. Students must turn in a blank scantron one week before the final exam thereafter the instructor will return to the scantron on the day of the exam. All members of the ABAC community have an obligation to promote an atmosphere in which teaching and learning can take place in an orderly and efficient manner. To maintain this learning environment, individuals must refrain from behavior that disrupts the teaching process. In order to assure the rights of all students to benefit from time spent in class, faculty members have the right and responsibility to excuse from a class session any individual whose behavior disrupts the teaching and learning process. Serious or continued infractions may result in referral of the student for disciplinary action by the student judiciary or appropriate administrative officer. 48 MyMathLab How-To Guide A. Logging In 1. Go to www.abac.mylabsplus.com. Bookmark this page as this is where you and your students will go to log in. 2. You and your students’ usernames will be the first part of your ABAC email. Examples: janedoe3@stallions.abac.edu will have the username “janedoe3”. teacherbob@abac.edu will have the username “teacherbob”. 3. If a password has never been reset, the password will be “password”. If you or your students can’t figure out your password, click ‘Forgot your password?’ This will send a reset link to your ABAC email account. 4. Once you are able to log in, you will see a list of your courses where you click the one you wish to view. B. Changing Due Dates 1. Log in to your Pearson homepage and select your course. 2. To the left side, there will be a list of options. Click Course Tools, then Assignment Manager. 3. Click Change Dates & Assign Status. All the assignments should be assigned. To change your due dates, simply check the box to the right of each assignment you wish to change the due date of, edit the due date at the top, and click Apply to Selected. When you’ve finished changing dates, click Update Changes Only. Remember, due dates should be set no later than the beginning of class on the day of the unit exam. C. Changing Weights 1. Log in to your Pearson homepage and select your course. 2. To the left side, there will be a list of options. Click Course Tools, then Gradebook. 3. Click Change Weights at the top center of the page. 4. Above the listing of assignments, you should see a section titled Category Weighting. Set Homework to 50 points, Quizzes to 50 points, and Tests to 0 points. 5. There is a column of boxes at the far right. Make sure that all boxes are checked except those of the current section and any sections preceding it. 6. Click Update at the bottom of the screen. D. Setting Prerequisites 1. Log in to your Pearson homepage and select your course. 2. To the left side, there will be a list of options. Click Course Tools, then Assignment Manager. 3. At the top, click Set Prerequisites. 4. Select QUIZZES & TESTS from the buttons above the assignment list. 49 5. In the leftmost column of the assignment table, you should use the drop down list to select the appropriate prerequisite assignment for each quiz. For example, HW 1.1 should be the prerequisite for Quiz 1.1. 6. In the center column, each Minimum Score should be set to 70%. 7. After all the prerequisites have been set, click UPDATE at the bottom of the table. E. Setting Attempts and Time Limit for Quizzes 1. Log in to your Pearson homepage and select your course. 2. To the left side, there will be a list of options. Click Course Tools, then Assignment Manager. 3. At the top, click the drop-down menu that says More Assignment Tools. Choose CHANGE SETTINGS FOR MULTIPLE ASSIGNMENTS. 4. Choose QUIZ as the Assignment Type. 5. Under the Access Controls category, check the box to the left of Number of Attempts, then check the box next to Limit number of attempts to. Enter 2 in the box. 6. A little further down, under the Presentation Options category, check the box to the left of Time Limit. Check both boxes that become available (Test time allowed and Show time remaining during test). Set the time allowed to 60 minutes. 7. Click APPLY SETTINGS at the bottom of the page. F. Editing Your Roster 1. Log in to your Pearson homepage. 2. Under your course name, you should see Students Enrolled: ##. Click on the underlined number given. 3. If a student has dropped your course, find his or her name on the list and click ACTIVE in the rightmost column. 4. Click the radio button by Inactive then the X to close the pop-up window. 5. You can also access your course roster under the Course Tools menu inside your course. G. Managing Incompletes While an assignment is available for a student to complete, any sections not attempted are not counted in the student’s average. Should a student not attempt an assignment, he or she should receive a 0 for the assignment. To ensure that the 0 is counted in a student’s average, you must Manage Incompletes before using the average in grade calculation. 1. Log in to your Pearson homepage and select your course. 2. To the left side, there will be a list of options. Click Course Tools, then Gradebook. 3. At the top, click MANAGE INCOMPLETES. 4. Click the box to the left of each section for which the due date has passed. 50 5. Click the button which submits current grade. 6. Click SUBMIT at the bottom of the page. H. Exporting Data After each exam, you should Manage Incompletes so your coordinator can export it. Final Statements This document was created during the Spring 2013 semester. Since the Mathematics Department meets periodically throughout the semester, some of the policies and procedures contained in this handbook may be subject to change mid-semester. Should such changes be made, the information will be circulated via email. Questions, comments, and suggestions regarding this handbook are welcome. Please feel free to contact any member of the department at any time. We are all here to do the very best we can to teach our ABAC students. 51