Metropolitan Community College Course Syllabus – Spring 2013 (12/SP) COURSE IDENTIFICATION Title: Prefix/Section: Credit Hours: Begins/Ends/No-Class Days: Meeting Day/Time: Last Day to Withdraw Delivery Type: Class Location: CONTACT INFORMATION Instructor Name: Office Location: Office Telephone: Office Hours: Email Address: Academic Program Area: Calculus I MATH-2410-5A 7.5 3-11-13 to 5-23-13 MTWTH 5:30-7:15 pm 5-9-13 Lecture Fort Omaha Campus, Building 10, Room 203 Chad Haugen Fort Omaha Campus, Building 10, Room 222G 457-2469 MW: 12:30-2:30 pm TTH: 8-10 pm cjhaugen@mccneb.edu Math & Natural Sciences COURSE INFORMATION Course Description: This course studies the mathematical tools used to analyze the continuous rate of change between variables. It reviews some principles of pre-calculus and investigates limits, differentiation, and integration. The course studies applications of both differentiation and integration. NOTE: The prerequisites include grades of C or better in MATH 1420 and MATH 1430 for MATH 2410. The two courses can be taken in either order prior to enrolling in Calculus I; however, it is recommended that students enroll in MATH 1420 prior to enrolling in MATH 1430. Course Prerequisites: Within two years prior to beginning the course, either successful completion of MATH-1420 and MATH-1430 with a grade of C or better in both courses, or MCC placement test. Required Textbook and Materials: Textbook: Calculus Edition: 9th Edition Author: Larson and Edwards Publisher: Cengage Learning Materials: Scientific calculator required* Metropolitan Community College *All Calculators that have a built-in computer algebra system (CAS) will not be permitted during any of the exams. Examples of CAS calculators include the TI89, TI-92, TI-Nspire, HP-40, HP-41, Casio ALGEBRA FX 2.0, Casio ClassPad 300, and Casio ClassPad 330. 1 Template Rev. 7/24/06 Course Objectives: 1. Solve analytical geometry problems. 2. Understand the definition of a limit and be able to find the limits (one sided, infinite, or at a point). 3. Prove the existence of a limit using an epsilon-delta proof. (Optional) 4. Understand the concept of continuity and how it relates to the concept of differentiation. 5. Use the differentiation techniques to solve problems involving position functions, related rates, and tangent lines. 6. Understand Rolle’s Theorem and the Intermediate Value Theorem. (Proof optional) 7. Use calculus to analyze graphs by finding the relative extrema and inflection points. 8. Solve problems from business, economics, and physics involving optimization. 9. Find the zeros of a function by using Newton's Method. 10. Estimate a propagated error using a differential. 11. Develop the theory for the natural Logarithmic and exponential functions. 12. Differentiate and Integrate Logarithmic and exponential functions. 13. Memorize the following differentiation formulas, and differentiate these functions without the help of notes: 14. Memorize the following integration formulas, and integrate these functions without the help of notes: Metropolitan Community College 2 Template Rev. 7/24/06 Upon completion of this course, each student will be able to: Find limits and understand the relationship between limits and continuity. Differentiate and integrate basic algebraic functions by using specific techniques and rules. Apply differentiation and integration to various problems. Course Structure: The course material will be presented by lecture. Throughout the lecture the instructor will work problems on the board asking for input from students. The instructor will spend the first few minutes of class answering questions over the suggested homework problems and then present new material. COURSE ASSESSMENT Types of Assessment/Assignments: Exams: There will be FIVE in-class, closed book exams, covering all the required objectives. Each exam will take place in our regular class location (Fort Omaha Campus, Building 10, Room 203) on the scheduled day (see Schedule of Assignments) during regular class time. Material presented in class as well as material found in the text will be covered on the exams. Note: Only very serious excuses (such as documented serious health problems, etc.) will be accepted for missing an exam. In the event that such a situation occurs, the student is required to notify the instructor prior to the exam’s date that he/she will be unable to take the exam with the class. The instructor will give a makeup exam later. Otherwise the student will be assigned a score of 0 for the missed examination. Quizzes: There will be SIX in-class, closed book quizzes, covering the material in the suggested homework problems. Each quiz will be worth 20 points. Quiz dates will be announced in class. The lowest quiz score will be dropped. A missed quiz will count as the lowest quiz score. Only one quiz may be missed. Grading Policy: Each of the five exams is worth 100 points*. The quizzes will be worth a total of 100 points. Final grades will be assigned based on the percentage of the 600 total possible points the student has earned using the following scale: A = 90% - 100% B = 80% - 89% C = 70% - 79% D = 60% - 69% F = Below 60% * The combined average of the tests must be 60% or above to achieve a grade of C or above in the class. Metropolitan Community College 3 Template Rev. 7/24/06 Assessment of Student Learning Program: Metropolitan Community College is committed to continuous improvement of teaching and learning. You may be asked to help us to accomplish this objective. For example, you may be asked to respond to surveys or questionnaires. In other cases, tests or assignments you are required to do for this course may be shared with faculty and used for assessment purposes. Use of Student Work: By enrolling in classes offered by Metropolitan Community College, the student gives the College license to mark on, modify, and retain the work as may be required by the process of instruction, as described in the course syllabus. The institution shall not have the right to use the work in any other manner without the written consent of the student(s). INSTRUCTOR’S EXPECTATIONS OF STUDENTS Attendance Policy: Attendance is one of the most important factors in any class. In order to be successful in this class, attendance is required. Attendance will be taken at the very beginning of each class meeting. Students arriving to class late will be marked ABSENT. The student is responsible for all work missed from being absent. The instructor will not re-teach the material. WX Policy: After the first class meeting and through the Census Date, the instructor will disenroll (WX) students who have never attended. The Census Date is listed under the Important Dates for the course in the official Class Schedule at http://www.mccneb.edu/schedule/. FX: An FX is a final grade given to a student who stops attending a class (participating in a class if it’s an online class), does not return, and fails. Classroom Behavior: Students are expected to behave in a responsible and courteous manner while in class. This includes: 1. Turning OFF cell phones. 2. Being on time for class. 3. Paying attention in class instead of reading a novel/magazine, talking to a neighbor, or sleeping. 4. Refraining from getting up in the middle of class to take care of things that should have been taken care of prior to class and not leaving the classroom until class is dismissed. NOTE: No children are allowed in class. Class Participation: Success in anything requires some participation. No part of your grade will be based on participation; however, you will get out of the class what you put into the class. Communication Expectations: When you communicate with others in this course, you must follow the Student Code of Conduct (http://www.mccneb.edu/catalog/studentinformation.asp), which calls for responsible and cooperative behavior. Please think critically, ask questions, and challenge ideas, but also show respect for the opinions of others, respond to them politely, and maintain the confidentiality of thoughts expressed in the class. You may also wish to review information at http://www.albion.com/netiquette/. Metropolitan Community College 4 Template Rev. 7/24/06 Recording in the Classroom: Students may not video or audio record class sessions without the instructor’s knowledge and permission. If recording of class sessions is authorized as a reasonable accommodation under Americans with Disabilities Act (ADA), the instructor must have the appropriate documentation from College Disability Support Services. Permitted recordings are to be used only for the individual student’s educational review of the class session and may not be reproduced, posted, sold or distributed to others. Students who violate this policy are subject to disciplinary procedures as outlined in the Student Conduct Code. Academic Honesty Statement: Students are reminded that materials they use as sources for classwork may be subject to copyright protection. Additional information about copyright is provided on the library website at http://www.mccneb.edu/library or by your instructor. In response to incidents of student dishonesty (cheating, plagiarism, illegal peer-to-peer file sharing, etc.), the College imposes specific actions that may include receiving a failing grade on a test, failure in the course, suspension from the College, or dismissal from the College. Disciplinary procedures are available in the Advising/Counseling Centers or at http://www.mccneb.edu/procedures/V-4_Student_Conduct_and_Discipline.pdf. LEARNING SUPPORT MCC's Academic Resource Centers, Math Centers, and Writing Centers offer friendly, supportive learning environments that can help students achieve educational success. Staff members in these centers provide free drop-in assistance with basic computing, reading, math, and writing skills. Self-paced, computer-assisted instructional support in reading, vocabulary, typing, English as a Second Language, and online course orientation is also available. Detailed information about the Academic Resource, Math, and Writing Centers is in the Student Handbook, College Catalog, and online at http://www.mccneb.edu/arc/. Accommodations for Students with Disabilities: Metropolitan Community College will provide reasonable accommodations for persons with documented qualifying disabilities. It is the student’s responsibility to request accommodations from Disability Support Services (DSS) located in each Student Services Office. After students have arranged for accommodations with DSS, the student and instructor should privately discuss these accommodations. For further information, please contact DSS or visit http://www.mccneb.edu/dss/. COLLEGE POLICIES College policies, such as student rights and responsibilities, academic standards, plagiarism, and etc. are outlined in the College Catalog and Student Handbook. This information can be accessed via the online catalog at http://www.mccneb.edu/academics/catalog.asp. Metropolitan Community College 5 Template Rev. 7/24/06 Student Withdrawal: If you cannot participate in and complete this course, you should officially withdraw through My Services on the MCC My Way portal at http://myway.mccneb.edu or by calling Central Registration at 402-457-5231 or 1800-228-9553. Failure to officially withdraw will result in either an attendance-related failure (FX) or failing (F) grade. The last date to withdraw is noted in the CLASS IDENTIFICATION section of this syllabus. Student Code of Conduct: The college has a standard code of conduct that involves consequences for specific academic and nonacademic behavior that may result in a failing grade, probation, or suspension from the college. More complete information about the code of conduct is located in the Student Services portion of the online catalog (http://www.mccneb.edu/catalog/studentinformation.asp). TECHNOLOGY SUPPORT Technology Resources: As you pursue your educational objectives you may be required to use computer information technology resources at Metropolitan Community College. Use of these resources is a privilege and carries with it a responsibility to respect the rights and privacy of others, the integrity of the facilities, and to follow Student Conduct Guidelines and College Policies. By using the information technology systems at MCC (including the computer systems and phones), you acknowledge and consent to the conditions of use as set forth in the Metropolitan Community College Procedures Memorandum on Acceptable Use of Information Technology and Resources. It is your responsibility as a student to be familiar with these procedures. The full text of the Procedures Memorandum may be found at the following website: http://www.mccneb.edu/procedures/X-15_Technology_Resources_Use.pdf. For assistance with student email, passwords, and most other MCC technology, contact the Help Desk at 4572900 or mcchelpdesk@mccneb.edu. [Other pertinent college policies are posted on the CDS website www.mccneb.edu/cds] Metropolitan Community College 6 Template Rev. 7/24/06 2013 Spring Quarter Important Dates Current Student (greater than 50 hours) Summer 2013 (13/SS) Registration begins ............................... Mar 6 W Classes Begin ...................................................................................................................................... Mar 8 F Current Student (less than 50 hours) Summer 2013 (13/SS) Registration begins ................................... Mar 13 W General Summer 2013 (13/SS) Registration begins ................................................................................. Mar 20 W ***Census Date/Tenth Day* .................................................................................................................... Mar 21 Th Spring Recess/College Closed ......................................................................................................... Mar 30-31 Sa-Su Classes Resume from Spring Recess ............................................................................................................ Apr 1 M Winter Quarter Term Incomplete “I” Grades Due..................................................................................... May 9 Th Classes End .................................................................................................................................... May 23 Th Spring grades due and posted by 11:59 p.m. ........................................................................................... May 25 Sa Memorial Day Recess/College Closed ............................................................................................ May 25-27 Sa-M Student Withdrawal Deadline to “drop” a class without receiving a grade.................................. Varies by Class** Student Withdrawal Deadline to “drop” a class with a refund varies ** ............................ See Refund Policy**** * Tenth Day is the date on which enrollment levels are checked. **To view the last day to withdraw “drop” a class to prevent receiving a grade, go to the class schedule found on line at http://www.mccneb.edu/schedule/classschedule.asp . Then, find the course section and click on the Important Dates link on the same line as the course title. Dates for each course section are automatically calculated based on the start and end dates and the number of sessions for a course. A student must withdraw by this date to avoid an “F” grade. Note: Schedule changes may have implications for students on Financial Aid. Check with the Financial Aid Office prior to any schedule changes at 402-457-2330. The Census Date*** is the date on which Financial Aid Student’s enrollment is checked to determine the type and amount of authorized funds for the quarter. Payment is based on enrollment as of that date. ****REFUND POLICY for Credit Courses A student is responsible for withdrawing “dropping” from a course(s) if unable to attend. Non-attendance or non-payment does not relieve a student from the obligation to pay. An official schedule change that reduces or terminates a student’s academic credit load may entitle the student to a refund. Go to “My Services” and click “Student Accounts”, then “Tuition Modeler” to see the refund percentage received through midnight of the same day you “drop” withdraw from a class. To withdraw “drop” from a course in My Way, go to “My Services”, click “Registration”. Then click “Register and Drop Sections”. Find the class you wish to drop and check the box under the word Drop and click Submit. You have successfully dropped the class if the message at the bottom of the screen states “the following request(s) have been processed”. Metropolitan Community College 7 Template Rev. 7/24/06 SCHEDULE OF ASSIGNMENTS: Section Topic Reading Suggested Problems Section 1.1 A preview of Calculus. Finding the limits of functions both graphically and numerically and the formal definition of the limit. Evaluating limits algebraically using the properties of limits. Continuous functions and one-sided limits. Infinite limits and limits at infinity. Exam 1 (March 19) The derivative of a function and its relationship to continuity. Basic rules for differentiation and rates of change. The product and quotient rules and higher-order derivatives. The chain rule. Implicit differentiation. Related rates. Exam 2 (April 2) Extrema on an interval. Rolle's Theorem and the Mean Value Theorem. Increasing and decreasing functions and the First Derivative Test. Concavity and the Second Derivative Test. Limits at infinity. A summary of curve sketching. Optimization problems. Newton's method. Differentials. pp. 42-46 p.47 #1-11 pp. 48-54 p.54 #1-29 Section 1.2 Section 1.3 Section 1.4 Section 1.5 Section 2.1 Section 2.2 Section 2.3 Section 2.4 Section 2.5 Section 2.6 Section 3.1 Section 3.2 Section 3.3 Section 3.4 Section 3.5 Section 3.6 Section 3.7 Section 3.8 Section 3.9 Section 4.1 Section 4.2 Section 4.3 Section 4.4 Section 4.5 Section 4.6 Exam 3 (April 22) Antiderivatives and indefinite integration. Area. Riemann Sums and definite integrals. The Fundamental Theorem of Calculus. Integration by Substitution. Numerical integration. Exam 4 (May 6) Metropolitan Community College pp. 59-66 p.67 #5-87 pp. 70-78 p.78 #1-19, 27-59, 63-67, 77, 79 pp. 83-87 p.88 #1-7, 37-53 pp. 96-103 p.103 #1, 5-23 pp. 107-114 p.115 #1-63, 97, 99 pp. 130-136 pp. 141-145 pp. 149-153 p.126 #1-53, 59-75, 85-87, 93-103, 117, 127-129 p.137 #1-35, 43-81, 91-99, 113 p.146 #1-39, 45-49, 53 p.154 #1-7, 11-21, 27, 39 pp. 164-168 p.169 #1-45 pp. 172-175 p.176 #1-23 pp. 179-185 p.186 #3-49 pp. 190-194 p.195 #1-51 pp. 198-204 pp. 209-214 pp. 218-222 pp. 229-232 pp. 235-239 p.205 #1-5, 13-37, 45-47, 59-75 p.215 #5-31, 37-41 p.223 #3-25, 33, 43, 59 p.233 #1-11, 15, 21 p.240 #7-9, 27, 37 pp. 248-255 p.255 #1-66, 71-79 pp. 259-267 p.267 #1-23, 27-53, 57-61 p.278 #3-7, 13-31 pp. 119-125 pp. 271-278 pp. 282-292 p.293 #5-55, 75-85, 97-103 pp. 297-305 pp. 311-315 p.305 #1-91 p.316 #1-7, 11-15, 23-31 8 Template Rev. 7/24/06 Section Section 5.1 Section 5.2 Section 5.3 Section 5.4 Section 5.5 Topic The natural logarithmic function and differentiation. The natural logarithmic function and integration. Inverse functions. Exponential functions: Differentiation and integration. Bases other than e and applications. Reading Suggested Problems pp. 324-330 p.331 #21-29, 39-95 pp. 334-339 p.340 #1-45, 49-59, 73-79, 97-101 pp. 343-348 p.349 #1-7, 41-51, 71-77, 85 pp. 352-357 p.358 #39-85, 99-135 pp. 362-367 p.368 #41-89, 107 Exam 5 (May 16) Note: The instructor reserves the right to modify the syllabus (such as dates of exams) at any point during the semester. Any such changes will be announced in class. It is the student’s responsibility to keep informed of such changes. Metropolitan Community College 9 Template Rev. 7/24/06