Math 408C: Di¤erential and Integral CalculusFall Semester 2009Unique Numbers 56975, 56980, and 56985Where am I?You are in Associate Professor Dan Knopf’s 408C class. Lectures are 2:00–3:30 Tuesdays and Thursdays in CPE 2.214.Your TA is Jane (Xiaojie) Wang. Problem sessions meet Mondays and Wednesdays. Section 56975 meets 8:00–9:00 AM in RLM 7.116. Section 56980 meets 12:00–1:00 PM in RLM 6.118. Section 56985 meets 2:00–3:00 PM in RLM 6.118.Why am I here?Math 408C introduces the concepts and methods of di¤erential and integral calculus. We studycalculus because it provides a useful language and a powerful toolkit for describing and modelingthe world around us. This course will develop practical problem solving skills, enhanced byintuitive geometric understanding. Its main topics include limits, continuity, derivatives, maximaand minima, trigonometric, logarithmic and exponential functions, integration, calculating areasand volumes, and techniques of integration.What are the prerequisites for this course?The o¢ cial course description and prerequisites page is:http://www.ma.utexas.edu/dev/math/Courses/Descriptions/M408C.htmlWhat textbook should I have?Calculus, Sixth Edition, by James Stewart (Brooks/Cole, 2008). ISBN-13 978-0-495-48276-5.How can I succeed in this course?This course covers a great deal of material and moves extremely rapidly! You cannot a¤ord tofall behind. To succeed, you will need good stud y habits, skill at basic algebraic manipulations,and a willingness to work hard. Here are some tips. Attend problem sessions. Lectures introduce new concepts and present as many ex-amples as time allows. Problem sessions o¤er more opportunities to learn from examples,clarify ideas, and practice using new concepts. Ask questions — in lecture, during problem sections, and on Blackboard. (See below.) Do the homework. No students, no matter how talented, can learn mathematics withoutworking examples themselves. The most important component of success in virtually anymath course is diligence in doing practice exercises. Read the text. To get the most bene…t from the lectures and problem sessions, you shouldread relevant sections of the text to reinforce the topics covered during lecture and problemsessions. Study together with your peers enrolled in the class. In particular, you shouldmake arrangements to share notes in case you miss class due to illness. However, the workon your written homework must always be your own. Learn to work problems either with or without a calculator. You may use acalculator on practice problems and homework — but not during exams. Be honest. Any academic dishonesty will be severely penalized. In this regard, pleasenote that no books, notes, calculators, or cell phones are allowed during exams.How can I get extra help and information? The contact information for your professor and TA is below. We encourage you to ask forindividualized help at any time.Name E-mail O¢ ce Phone O¢ ce hoursDan Knopf [email protected] RLM 9.152 471.8131 M 3:30–4:30, Th 12:30–1:30Jane Wang [email protected] RLM 9.116 475.9133 W 3:15–4:30, F 10:00–11:00 The course will use Blackboard. Class announcements and assignments will be postedthere. After assignments are collected, solutions will be posted so that you can check yourwork. There will b e discussion boards, called MathChat, where you may submit questions.Your TA and I will check these frequently and answer your questions as promptly as possible. The syllabus will be updated during the semester (e.g. as exam room sch ed uling becomesavailable). A current version will always be available on Blackboard as well as througha link from my home page: http://www.ma.utexas.edu/users/danknopf The UT Learning Center provides a range of resources to help you bene…t from this courseas much as possible. Visit JES A332A or see http://www.utexas.edu/student/utlc/ See http://www.ma.utexas.edu/dev/math/Undergrad/Advising.html for useful infor-mation about math advising. Students with disabilities may request appropriate academic accommodations from theDivision of Diversity and Community Engagement, Services for Students with Disabilities.Call 471.6259 or see http://www.utexas.edu/diversity/ddce/ssd/Please inform me of any approved accommodations as early in the semester as possible —at least one week before the …rst exam.2How will the course be graded?There will be homework, two midterm exams, and a cumulative …nal. Homework: There will be twelve homework assignments. (See schedule below.) Eachhomework will be posted on Blackboard approximately one week before it is due. On itsdue date, an assignment must be turned in at the start of lecture. Graded homework willbe returned during a subsequent problem session.– Your assignments must be legible, neat, and stapled.– The lowest two homework scores will be dropped, to allow for illness, emergencies, andother valid nonacademic excuses.– The remaining ten scores will be averaged to determine 15% of your overall grade.– A late assignment counts as a missed assignment. Late homework is notaccepted under any circumstances. (The sole exception is a con‡ict with a religiousholy day, in which case you must contact me in advance.) In-class exams: There will be two in-class exams. (See schedule below.)– Each in-class exam will count for 25% of your overall grade.– No exam scores are dropped.– If you miss an exam, you must contact me before the exam and provide a writtenexcuse in order to be allowed to take a make-up. Final exam: The …nal exam time is set by the Registrar. (See schedule below.)– The …nal will determine 35% of your overall grade.– Approximately half of the …nal will cover material not on either of the …rst two exams.The remainder will be cumulative.– If you have a schedule con‡ict with the …nal, you must contact me at least three weeksin advance. Final exams can be rescheduled only for very serious reasons.Your overall grade will be computed according to the following scale:F D- D D+ C- C C+ B- B B+ A- A0–50 51–55 56–63 64–65 66–67 68–75 76–77 78–79 80–87 88–89 90–91 92–100What is the lecture schedule?The following schedule may be altered for pedagogical reasons. It is your responsibility tobe aware of all changes announced in class.Thursday, August 27 Introduction, Section 2.1Monday, August 31 Last day of the o¢ cial