UC-Denver MATH 1401-001 Calculus I Fall 2012 Syllabus Class Location/Time: Instructor: Office and email: Phone: Office Hours/Help Sessions: Web Page Teaching Assistant: Math Dept. Office Dept Associate Chair Mon/Wed 12:00 - 1:50 PM Dr. Lane Andrew CU-Denver Bldg., Rm. 634 (6th floor CU Building – 1250 14th Street) Lane.Andrew@ucdenver.edu Note: e-mail is the best way to reach me. Lance’s cell: (303) 720-0313 FAX: (303) 556-8550 (attn. Lane Andrew) Mon: 11-12 Tues: 11-12:30 Weds: 10-12 Grades are updated regularly and posted at: http://blackboard.cuonline.edu/webapps/portal/frameset.jsp Melissa Bilbao Melissa.Bilbao@ucdenver.edu CU-Denver Bldg., 6th Floor (1250 14th Street) phone: 303-556-8442 (main line) Lynn Bennethum: Office CU-Bldg., Rm. 638 Phone: 303-556-4810; email: Lynn.Bennethum@ucdenver.edu Description: First course of a three-semester sequence (MATH 1401, 2411, 2421) in calculus. Topics covered include limits, derivatives (including transcendental functions), applications of derivatives and the definite integral. Note: Students cannot receive credit for both math 1080 and 1401. Prerequisite: MATH 1110/1120 or 1130 and satisfactory test scores as set by the department (ACT, SAT, PrepForCalc) or previous Calculus credit. Required Materials: Text: Calculus: Early Transcendentals, Briggs/Cochrane, First edition, Addison. (Not absolutely required. See below.) Software: MyMathLab. A hard copy of the text is not absolutely required since an eBook comes with the purchase of the software. The total cost for the software and eBook is approximately $85.00. You can purchase the software and the eBook by going to pearsonmylabandmastering.com. Under REGISTER, click STUDENT. Unless you are retaking this course, you will want to “Enroll in a New Course”. You will need the COURSE ID which is andrew81692, your university email address (which you check regularly), and either a student access code or a valid credit card. If you decide to purchase a hard copy of the text then we recommend that you purchase it new, bundled with the student access code that gives you access to the MyMathLab software. Note that a used text will not usually come with an unused access code. Each access code can only be used once!!! If you purchase a used text then you will probably still need to purchase the software and eBook online. If you don’t mind using the eBook instead of a hard copy of the text then the MyMathLab software is all you need. MyMathLab is good for two years (Calc I, II, and III maximum). Technology: The recommended calculator for the course is the TI-89 which contains a Computer Algebra System (CAS). I will be using a TI-89 in class. Other calculators with a CAS (such as the TI-nSpire CAS) are also fine but please ask if you have a different calculator that you would like to use. It is also possible to get by with a basic graphics calculator (TI-83/84) and use the website www.WolframAlpha.com as your CAS. There are apps available for the i-phone, Android and i-pod touch that allow you to use WolframAlpha. Technology Warning: You absolutely, positively must learn to do the problems in this course by hand. Do not become overly dependent on calculators or software. We do not allow the use of calculators during the tests! It is perfectly acceptable to check your work with a calculator or WolframAlpha when possible. Since homework is graded on accuracy as well as process, this is a good idea. How you will be evaluated: Exams: Three exams, worth 100 points each, will be given plus a comprehensive final exam, counting 200 points. The dates of the tests and final exam are: Exam #1 – September 12, 2012 Exam #2 – October 10, 2012 Exam #3 – November 7, 2012 Final Exam – Saturday December 8, 2012 Written Homework Assignments: Written homework problems will be given over each section covered and collected regularly. Approximately 11 assignments will be graded and will be worth a total of 120 points at the end of the semester after your lowest homework score is dropped. Please follow these guidelines when turning in homework assignments: 1. All assignments are to be done on green engineering paper. Engineering paper can be purchased at the bookstore. 2. All assignments should be done in pencil. 3. Show all work neatly since messy papers may not be graded. 4. Include graphs where appropriate. The graphs can either be a sketch or a computer printout with important information (axes, scale, intercepts, and important points) identified. 5. Staple your papers together. 6. Make sure that you do the assigned problems since no credit will be given for work on an incorrect problem. 7. Please circle or box your answers. You are able to work together in doing homework assignments; however, copying another student’s work will not be tolerated. If this occurs, all students involved will receive no credit on the assignment. MyMathLab Homework: Online homework will be assigned over each section covered. You will use MyMathLab to do the online homework. It is recommended that you do the online homework for each section before doing the written homework for the section. You get immediate feedback while doing the online homework since the problems are graded as you do them. You can also get help on a problem if necessary and you have multiple attempts to get each problem correct. If you want to improve your score on a particular assignment you can return and try individual problems again, up until the due date of the assignment. This will count for a possible 50 points. Recitation Grade: The recitation section of your calculus course will be during the first hour of each class. Every day there will be a recitation activity. The recitation activity could be a lab, a set of practice problems or a quiz. These activities will be collected and graded. A total of 80 points are available; 20 points for each of the following periods: August 21 – September 11; September 18 – October 9; October 16 – November 6; and November 13 – December 6. For each of these periods, your recitation grade is determined by the higher of the following: 1. Percent grade on your in-class exam at the end of the period 2. Recitation activity grade for that period Points Summary: You will be accumulating a possible 750 points during the semester. Exams: 300 points Final Exam: 200 points Homework Assignments: 120 points MyMathLab Homework: 50 points Recitation Activities/Labs: 80 points ----------------------------------------------Total: 750 points Grading Scale: Your final grade will be determined by the percentage of the available points that you have earned: A 92.0 – 100% B+ 88.0 – 89.9% C+ 78.0 – 79.9% D 60.0 – 69.9% F below 60.0% A- 90.0 – 91.9% B 82.0 – 87.9% C 70.0 – 77.9% B- 80.0 – 81.9% Late Work and Exam Makeup Policy: Makeup Tests: I expect you to take all of the tests. If some emergency arises that causes you to miss a test, we will deal with it in such a way that you are not penalized. We will discuss the details if this happens. If at all possible, you must make arrangements with me beforehand, and I will ask for details regarding the emergency. If you miss a test without making prior arrangements, you will in all likelihood receive a zero. No makeup will be offered after the test has been graded and passed back to the class. Late Homework Assignments: Written homework assignments are due at the start of class on their due date. Unless you make prior arrangements no late work will be accepted. Late Online Homework: If you do not do an online homework assignment by its due date you will receive a zero on that assignment. There will be no exceptions. Technical difficulties are always possible when working with computers so plan ahead and get your online homework done early. Attendance: Regular attendance and participation are important to your success in any college course but particularly in mathematics. Attendance of lecture and recitation is expected. CLAS Academic Dishonesty Policy: Students are required to know, understand, and comply with the CU Denver Academic Dishonesty Policy as detailed in the Catalog and on the CLAS website. Academic dishonesty consists of plagiarism, cheating, fabrication and falsification, multiple submission of the same work, misuse of academic materials, and complicity in academic dishonesty. If you are not familiar with the definitions of these offenses, go to http://www.ucdenver.edu/academics/colleges/CLAS/faculty-staff/policies/Pages/DefinitionofAcademicDishonesty.aspx. This course assumes your knowledge of these policies and definitions. Failure to adhere to them can result in penalties ranging from failure of an assignment or exam, failure of the course to dismissal from the University; so, be informed and be careful. If this is unclear to you, ask me. I encourage students to work together on homework. However, it is expected that you turn in your own work expressed in your own words. Never copy someone else’s work and do not allow someone else to copy your work. If there are duplications of portions of homework where it is obvious that copying has occurred, then all parties will receive a zero on the assignment. The minimum penalty for deliberate cheating on an exam will be a zero on the exam. A letter will also be sent to the department Chair and the Dean of your college. It is likely that depending on the circumstances, cheating of this kind may result in a course grade of F as well as possible expulsion from the university. It isn't worth it, so don't do it. Student Code of Conduct: As members of the University community, students are expected to uphold university standards, which include abiding by state civil and criminal laws and all University policies and standards of conduct. These standards are outlined in the student code of conduct which can be found at: http://www.ucdenver.edu/life/services/standards/students/Pages/default.aspx Incomplete Grades: An incomplete grade ‘I’ is not granted for low academic performance. To be eligible for an incomplete grade, students must (1) successfully complete 75 percent of the course, (2) have special circumstances (verification may be required) that preclude the student from attending class and completing graded assignments, and (3) make arrangements to complete missing assignments with the original instructor using a CLAS Course Completion agreement. Where to Get Additional Help: There are Teaching Assistants available to answer your questions in the MERC lab in the North Classroom Building (NC) room 4015. This is an excellent resource! Check with the lab to see their schedule. Try to form a study group to study and learn with; it really works for some people! Realize that there are many ways of learning and a study group may be helpful for you. Listening to a lecture and asking questions may work for someone else. The Learning Resource Center (see below) may be able to assist you in setting up a study group. And don’t forget about me! Please, don’t be afraid to ask me questions. Don’t think, “I must be the only one who doesn’t understand.” Feel free to ask questions before, during, or after class. You are always welcome to drop in and see me during my open office hours held in the MERC lab (see page 1), or you can ask questions by email. If your email contains math symbols, just type them as you would on your calculator. Other Resources for this course: The Learning Resource Center (LRC) is designed to promote student success, retention, and graduation in the academic setting. Services which are available to UC Denver students include private tutoring, open walk-in sessions, study strategies seminars, peer advocacy, a test file and minority resource library. Tutoring Services – North Classroom Building (NC) Room 2006 Phone: (303) 556-2802, E-mail: tutorialservices@ucdenver.edu The Academic Success and Advising Center serves as the first point of contact and provides academic advising for students who are pre-business, pre-engineering, or who have not declared a major yet. In addition the center provides general information and resource referral to all students. North Classroom Building (NC) Room 2024 (303) 352-3520 Disability Accommodations The University of Colorado Denver is committed to providing reasonable accommodation and access to programs and services to students with disabilities. To be eligible for accommodations, students must be registered with the UC Denver Office of Disability Resources and Services (DRS) – North Classroom 2514; 303-556-3450, 303-556-4766 (TTY). The DRS staff has experience to assist faculty in determining reasonable accommodations, and to coordinate these accommodations. If a student is given accommodations, they must be followed. If a student chooses not to accept the accommodations set forth by the DRS, they MUST complete all assignments and do all course work in the same manner as all other students. No exceptions or alternate forms of evaluation can be used except those mandated by the DRS. Faculty cannot arbitrarily decide to give a student extra time, extra assistance or other forms of aid unless it is formally mandated by the DRS. The Career Center offers a full array of services that prepare students for career success, such as resume help, internship and career counseling and they have a large career library. Tivoli Student Union Room 267 Phone: 303-556-2250 The University of Colorado Denver provides many other services, resources and association memberships to support and enhance your education. For a complete list of these resources see: http://www.ucdenver.edu/life/services/Pages/index.aspx Fall 2012 CLAS Academic Policies The following policies pertain to all degree students in the College of Liberal Arts and Sciences (CLAS). Schedule verification: It is each student’s responsibility to verify online that his/her official registration is correct: verify before classes begin and prior to the drop/add deadline. Failure to verify schedule accuracy is not sufficient reason to justify a late add or drop. E-mail: Students must activate and regularly check their official student e-mail account for CU Denver business: http://www.ucdenver.edu/student-services/Pages/WebMail.aspx. Those who forward email must check CU Denver e-mail regularly for messages not automatically forwarded. Waitlists: Students are not automatically notified if they are added to a class from a waitlist. Students are not automatically dropped from a class if they never attended, stopped attending, or do not make tuition payments. Waitlists are purged after the 1st week of classes, after which a paper Schedule Adjustment Form (SAF or drop/add form) is required. It is the student's responsibility to get the form (online or at the Advising Office, NC 4002), have it signed, deliver it to the Registrar (Annex 100) or the Student Services Center (NC 1003), and verify her/his schedule online. Late adds (after 5 September) will be approved only when circumstances surrounding the late add are beyond the student’s control. This will require a written petition and verifiable documentation. Petition forms are available in NC 4002. The signature of a faculty member on a SAF does not guarantee that a late add petition will be approved. Late drops (after 5 September) will be approved only when circumstances surrounding the late drop have arisen after the published drop deadline and are beyond the student’s control. This will require a written petition and verifiable documentation. The signature of a faculty member does not guarantee that a late drop petition will be approved. Tuition: Students are responsible for completing arrangements with financial aid, family, scholarships, etc. to pay their tuition prior to Census Date (5 September). Students who drop after that date are (1) financially responsible for tuition and fees, (2) academically responsible and will receive a "W" grade, and (3) are ineligible for a refund of COF hours or tuition. Graduation: Undergraduate students wishing to graduate in fall 2012 must complete the online Intent to Graduate Form and meet with their academic advisor to obtain a graduation application. This application must be submitted by Census Date (5 September). You can obtain an application only after meeting with your advisor. There are no exceptions to this policy. Graduate students wishing to graduate in fall semester 2012 must complete the online Intent to Graduate form and have a Request for Admissions to Candidacy on file with the CU Denver Graduate School (LSC 1251) no later than 5 PM, September 5, 2012. Important Dates and Deadlines August 19, 2012: Last day to withdraw from all classes via UCDAccess and receive a refund of the $200 advance payment and all tuition. August 20, 2012: First day of classes. August 26, 2012: Last day to add or waitlist classes using UCDAccess. After this date, a Schedule Adjustment Form (SAF) is required to change, add, or drop. August 27, 2012: Last day to drop without a $100 drop charge. No adds permitted on this day. August 28 - September 5, 2012: UCDAccess registration is closed; registration now requires a SAF with faculty signature. Verify your registration via UCDAccess. You are not registered for a course unless your name appears on the official roster; conversely, your name may have been added automatically from the waitlist without notification, which means that you will be held responsible. September 3, 2012: Labor Day (no classes). September 5, 2012: Census date. 9/5/12, 5 PM: Last day to add structured courses without a written petition for a late add. This is an absolute deadline and is treated as such. This does not apply to independent studies, internships, project hours, thesis hours, dissertation hours, and modular courses. 9/5/12, 5 PM: Last day to drop a course or completely withdraw from fall 2012 using a SAF and still receive a tuition refund, minus the drop fee. After this date, tuition is forfeited and a "W" will appear on the transcript. This includes section changes. This is an absolute deadline. 9/5/12, 5 PM: Last day to request pass/fail or no-credit option for a course. 9/5/12, 5 PM: Last day for a graduate student to register for a Candidate for Degree. 9/5/12, 5 PM: Last day for a Ph.D. student to petition for a reduction in hours. 9/5/12, 5 PM: Last day to apply for fall 2012 graduation. If an undergraduate, you must make an appointment and see your academic advisor to apply. If a graduate student, you must complete the Intent to Graduate and Candidate for Degree forms. September 17-26, 2012: Faculty can use the Early Alert system. October 29, 2012, 5 PM: Last day for non-CLAS students to drop or withdraw without a petition and special approval from the academic dean. After this date, a dean’s signature is required. November 12, 2012, 5 PM: Last day for CLAS students to drop or withdraw with signatures from the faculty and dean but without a full petition. After this date, all schedule changes require a full petition. Petitions are available in NC 4002 for undergraduates and in the CU Denver Graduate School offices for graduate students. November 19-25, 2012: Fall break (no classes; campus closed). Be thankful. December 10-15, 2012: Finals Week. No schedule changes will be granted once finals week has started--there are no exceptions to this policy. Commencement is December 15. December 20, 2012: Due date for faculty submission of grades. December 24, 2012: Fall final grades available on UCD Access (tentative). Math 1401 Fall 2012 Limits & Intro to Derivatives Exam 1 Sept. 13th Derivatives Exam 2 Oct. 11th Applications Of Derivatives Exam 3 Nov. 8th Integration Final Exam Saturday December 8th 9:00 AM - Noon Graphics Syllabus by L Lana 2.1 The Idea of Limits 2.2 Definitions of Limits 2.3 Techniques for Computing Limits 2.4 Infinite Limits 2.5 Limits at Infinity 2.6 Continuity 3.1 Introduction to Derivatives 3.2 Rules of Differentiation 3.3 The Product and Quotient Rule 3.4 Derivatives of Trig Functions 3.5 Derivatives as Rates of Change 3.6 The Chain Rule 3.7 Implicit Differentiation 3.8 Derivatives of Logarithmic and Exponential Functions 3.9 Derivatives of Inverse Trig Functions 3.10 Related Rates 4.1 Maxima and Minimum 4.2 What Derivatives Tell Us 4.3 Graphing Functions 4.4 Optimization Problems 4.5 Linear Approximation and Differentials 4.6 Mean Value Theorem 4.7 L’Hopital’s Rule 4.8 Antiderivatives 5.1 Approximating Areas under Curves 5.2 Definite Integrals 5.3 Fundamental theorem of Calculus 5.4 Working with Integrals 5.5 Substitution Rule Math 1401 Tentative Schedule Fall 2012 Week Dates Sections to be covered 1 Aug. 20 2.1 The Idea of Limits, 2.2 Definitions of Limits, 2.3 Computing Limits 2 Aug. 27 2.4 Infinite Limits, 2.5 Limits at Infinity, 2.6 Continuity 3 Sep. 3 3.1 Introducing the Derivative, 3.2 Rules of Differentiation 4 Sep. 10 Catch-up or Review (if time allows), Exam #1 5 Sep. 17 6 Sep. 24 7 Oct. 1 8 Oct. 8 3.3 The Product & Quotient Rules, 3.4 Derivatives of Trigonometric Functions, 3.5 Derivatives as Rates of Change 3.6 The Chain Rule, 3.7 Implicit Differentiation, 3.8 Derivatives of Logarithmic and Exponential Functions 3.8 Derivatives of Logarithmic and Exponential Functions (continued), 3.9 Derivatives of Inverse Trig Functions, 3.10 Related Rates Catch-up or Review (if time allows), Exam #2 9 Oct. 15 10 Oct. 22 11 Oct. 29 4.1 Maxima and Minima, 4.2 What Derivatives Tell Us, 4.3 Graphing Functions – Curve Sketching 4.3 Graphing Functions – Curve Sketching (continued), 4.4 Optimization Problems, 4.5 Linear Approximation and Differentials 4.6 Mean Value Theorem, 4.7 L’Hopital’s Rule, 4.8 Antiderivatives 12 Nov. 5 Catch-up or Review (if time allows), Exam #3 13 Nov. 12 5.1 Approximating Areas Under Curves, 5.2 Definite Integrals Nov. 19 Fall Break (No Classes, Campus Closed) Be thankful! 14 Nov. 26 5.3 Fundamental Theorem of Calculus, 5.4 Working with Integrals 15 Dec. 3 Saturday Dec. 8 5.5 Substitution Rule, Catch-up or Review (if time allows) Final Exam (9:00 AM – Noon) NOTE: I reserve the right to change the schedule as needed during the semester. If changes are necessary then they will be announced in class and the syllabus will be updated online.