Class Information Dierential and Integral Calculus Math 31A, Lecture 1 Winter Quarter 2011
MWF 3 pm3:50 pm, MS 4000A
Instructor: Matthias Aschenbrenner E-mail: matthias@math.ucla.edu (I will not answer questions by E-mail. E-mail should only be used to make an appointment.) Course webpage: http://www.math.ucla.edu/matthias/31a.1.11w Oce & oce phone: MS 5614; 310-206-8576 Oce hours: M 2 pm2:50 pm, W 4 pm5 pm, or by appointment. (I will not hold virtual oce hours.) Discussion sections: Section ID 262181201 262181202 262181203 262181204 262181205 262181206 Section 1A 1B 1C 1D 1E 1F Day Tue Thr Tue Thr Tue Thr Time 3:00pm3:50pm 3:00pm3:50pm 3:00pm3:50pm 3:00pm3:50pm 3:00pm3:50pm 3:00pm3:50pm Classroom MS 5147 GEOLOGY 4645 MS 5137 MS 5117 GEOLOGY 4645 MS 5147 TA Name Lane Lane Tran Tran Chen Chen
TA e-mail addresses (all @math.ucla.edu): Matthew Lane: mattlane, Giang Tran: giangtran, Xiaojing Chen: xjchen
Information about TA oce hours are announced by the TAs in the rst discussion sections. Course text: Single Variable Calculus, by Jon Rogawski, W. H. Freeman, New York. Prerequisites: Successful completion of Mathematics Diagnostics Test or Course 1 with grade of C- or better. Class meetings: This course meets for lecture three days a week and for discussion section one day a week (four times total). I will conduct lectures on Monday, Wednesday, and Friday. Please feel free to ask questions in lecture, though preferably none regarding homework problems. Please turn o all cell phones, pagers, and other electronic devices before the lecture.
On Tuesdays or Thursdays your teaching assistant (TA) will lead a discussion section where he or she can answer any questions, and homework problems can be discussed. The TAs will also help with those problems during their oce hours. Questions concerning homework problems and the course material should rst be addressed to the TAs, and then to me, if further clarication seems necessary. Questions concerning grading should be primarily addressed to me, and not the TAs. Homework: Assigned every week, and collected during lecture on Friday (except on 02/25). Homework is due no later than ve minutes after the beginning of the lecture. No late homework will be accepted.
1 2 3 4 5 6 7 8 9 Due on 01/07 01/14 01/21 01/28 02/04 02/11 02/18 03/04 03/11 Chapter, Section, Problem No. 2.1: 1, 3, 14, 18, 21; 2.2: 1, 9, 20, 34, 42; 2.3: 6, 15, 24, 27; 2.4: 1, 14, 33, 53; 2.5: 10, 24, 47; 2.6: 11, 13, 15, 41 3.1: 1, 27, 42, 48; 3.2: 14, 21, 53; 3.3: 2, 8; 3.4: 1, 18, 32; 3.5: 9, 28 3.6: 9, 32; 3.7: 3, 8,56, 59; 3.8: 10, 22, 32,41; 3.9: 5, 18, 24, 35 4.1: 1, 5, 18, 28, 36, 49 4.2: 1, 8, 12, 24, 35; 4.3: 2, 8, 11, 16, 26; 4.4: 2, 5, 12, 21, 32 4.5: 2, 9, 27, 42, 63; 4.6:1, 4, 10, 18, 45; 4.8: 16, 34, 37, 46, 57 5.1: 9, 25, 45, 54, 60, 70; 5.2: 6, 13, 30, 51, 69; 5.3: 8, 31, 36, 47; 5.4: 3, 14, 24, 30 5.5: 1, 8, 13, 17, 18; 5.6: 8, 16, 29, 63, 72, 74; 6.1: 1, 3, 12, 22, 32, 43 6.2: 1, 6, 9, 24, 56; 6.3: 6, 13, 19, 36, 49; 6.4: 4, 12, 19
Your lowest homework score will be dropped when computing your grade. Homework will be returned the following week in discussion section. The problems will range in diculty from routine to more challenging. You may work together on the exercises, but any graded assignment should represent your own work. Put the following information in the upper right hand corner of the rst page: Your Name (rst and last) Date, homework assignment number TAs name, time and number of discussion section (1a1f) On each additional page, put your name in the upper right-hand corner. Work single-sided, i.e., write on only one side of each sheet of paper. STAPLE homework that is more than one page long. Remove all perforation before submitting. Write legibly. Label the chapter + section number as well as the problem number (e.g., 7.2 #2). Homework that fails to meet the above requirements will be marked Unacceptable and returned unread. Exams: There will be midterm exams on Wednesday, January 26 and Friday, February 25, during class time. There will be a nal exam on Wednesday, March 16, 11:30 am2:30 pm, location to be announced. No make up exams will be given under any circumstances.
For each exam, you must bring a picture ID. No books, calculators, scratch paper or notes will be allowed during exams. Disputing midterm grades: We put a lot of eort into grading your exams. If you feel that a mistake was made in grading your midterm exam, you may request a re-grade. After each midterm is returned, a strict deadline will be posted on the web page until which a re-grade can be requested. Be aware that a re-grade means that your exam will be graded from scratch, and it is entirely possible that you will receive a lower score than originally given, if I decide that the original grade was too high. Final exams are kept for one quarter, stored for a second quarter to be picked up, and recycled soon thereafter. Grading policy: Scores and nal grades will be available on the MyUCLA gradebook. Your nal grade will be based on the following: 10% for homework, 25% for each midterm, 40% for nal.
Letter grades: Assigned according to the departmental guidelines for Math 31A. Letter grades will only be assigned for your nal grade in this course. Academic dishonesty: Students are expected to be thoroughly familiar with the UCLA policy on academic integrity. UCLA has instituted serious penalties for academic dishonesty. Copying work to be submitted for grade, or allowing your work to be submitted for grade to be copied, is considered academic dishonesty. Here, copying does not only refer to producing verbatim copies, but includes slightly adapting and submitting material originally due to someone else. Additional assistance: Besides the oce hours (by the instructor and the TAs), additional help is available Monday-Thursday, in the Student Math Center located in MS 3974, where undergraduate math majors as well as math graduate students will be able to help you. For opening hours please check http://www.math.ucla.edu/ugrad/smc.shtml Other tutoring resources inclue: College Math/Sciences Tutorials 230 Covel Commons Academic Advancement Program (AAP) 1201A Campbell Hall Engineering and Mathematical Sciences Library (EMS) 8270 Boelter Hall Private Tutoring list available in MS 6356 (fee based tutoring) Syllabus: You are responsible for reading the textbook. I highly recommend studying the relevant section(s) before each lecture so that you are in a good position to ask questions about anything that was unclear. See the next page for a detailed description of what well cover when.
Week 1
Monday
01/03 Limits, Rates of Change, Tangent Line (2.1) 01/10 The Derivative (3.1)
Wednesday
01/05 Limits Numerically and Graphically, Limit Laws (2.2, 2.3) 01/12 The Derivative as a Function, Product and Quotient Rules (3.2, 3.3) 01/19 Trigonometric tions (3.6) Func-
Friday
01/07 Continuity, Evaluating Limits, Trigonometric Limits (2.42.6) 01/14 Rates of Change, Higher Derivatives (3.4, 3.5) 01/21 The Chain Rule, Implicit Dierentiation (3.7, 3.8) 01/28 Linear Approximation (4.1) 02/04 Shape of a Graph, Concavity (4.4)
01/17 No class
01/24 Related Rates (3.9)
01/26 Midterm 1
01/31 Extreme Values (4.2)
02/02 The Mean Value Theorem, Monotonicity (4.3) 02/09 Applied Optimization (4.6) 02/16 Denite Integral (5.2)
02/07 Graph Sketching (4.5)
02/11 Antiderivatives (4.8)
02/14 Approximating and Computing Area (5.1) 02/21 No class
02/18 Fundamental Theorem of Calculus I (5.3) 02/25 Midterm 2
02/23 Fundamental Theorem of Calculus II (5.4) 03/02 Substitution (5.6)
02/28 Net Change (5.5)
Method
03/04 Area between Curves (6.1)
two
10
03/07 Setting up Integrals (6.2)
03/09 Volumes of Revolution (6.3)
03/11 Method of Cylindrical Shells (6.4)