# SYLLABUS

## Calculus I (Math 141, Sections 11 & 12) Fall 2000, USC

Lecture Recitations
M W F 12:20-1:10 am PSC 002. 11: T TH 11-11:50 am LC 115;
12: T TH 12:30-1:20 am LC 115;
Instructor
Check the course web site periodically for revised versions of this syllabus, and to obtain homework assignments and copies of old tests and quizzes.

Teaching Assistant
Joseph Patterson

Course Description
This is an introduction to Calculus. We will study derivatives and integrals together with a range of their applications in geometry, physics, and engineering.

Prerequisites
Math 112 or Math 115--familiarity with basic functions and their graphs.

Textbook
Calculus, by J. Varberg, Pursell, and Rigdon, Eighth Edition.

Homework and Quizzes
There will be weekly homework assignments to be turned in to the teaching assistant every Tuesday. Late homeworks will not be accepted.

Also, there will be weekly quizzes every Thursday. No calculators, textbooks, or notes will be allowed during quizzes. You should save copies of these quizzes as they are a very good source for preparing for the final and midterms. There may be a number of practice quizzes during the lectures as well.

Doing the homework problems is the most important part of this class. You may work with a group of your classmates if you are all at about the same level; however, you should definitely try to do many problems on your own. Further, try to practice doing at least some of the problems in settings which resemble that of the test and quizzes, i.e., without using your calculator or constantly referring to the textbook.

You should make a sincere effort to keep up with your reading assignments; otherwise, you may significantly compromise your ability to benefit from the lectures.
 Dates Lectures Aug 25 F 2.1, 2.2 Functions and their Graphs 2830 MW 2.2, 2.32.4 Trig functionsIntro to Limits Sep 1 F 2.5 Rigorous Definition of Limits 468 MWF .2.62.7, 2.8 Labor Day-no classesLimit TheoremsLimits of Trig. Functions, Asymptotes 111315 MWF 2.93.13.2 ContinuityIntro to DerivativesDefinition of Derivative 182022 MWF 3.33.43.5 Rules for DerivativesDerivatives of Trig FunctionsThe Chain Rule 252729 MWF 3.6, 3.7.. Leibniz NotationReviewMidterm 1(covers up to and including 3.4) Oct 246 MWF 3.83.93.10 Implicit DifferentiationRelated RatesDifferentials and Approximations 91113 MWF 4.14.24.3 Maxima and MinimaMonotonicity and ConcavityLocal Maxima and Minima 161820 MWF .4.44.6 Fall Break-no classesMore Max-Min ProblemsSophisticated Graphing 232527 MWF 4.75.15.2 The Mean Value TheoremIndefinite IntegralsIntro to Diff Equations 30 M 5.3 Sums and Sigma Notation Nov 14 WF 5.45.5 Intro to AreaDefinite Integrals 6810 MWF 5.6.. The First Fundamental Theorem of CalcReviewMidterm 2(covers up to and including 5.4) 131517 MWF 5.75.86.1 The Second Fundamental Theorem of CalcEvaluating Definite IntegralsThe Area of a Plane Region 202224 MWF 6.2.. Volumes of SolidsThanksgiving Recess-no classesThanksgiving Recess-no classes 2729 MW 6.46.5 Length of a Plane CurveWork Dec 1 F 6.6 Center of Mass 468 MWF 6.7.. Chapter ReviewReviewReview 14 Th . Final Exam(Comprehensive)

Assignments
You should plan to work on these problems over a period of several days. Getting a head start on each assignment is perhaps the most critical factor determining your success in this class.
 Homework # Due Date Problems 1 Aug 29 1.5) 2, 7, 14; 1.6) 2, 10, 18, 37, 38, 42 ; 1.7) 4, 10; 1.8) 25. 2 Sep 5 2.1) 4, 7, 8, 10, 14 a b, 15, 16, 34; 2.2) 2, 12, 24; 2.3) 11 a b, 26 a b, 42, 45; 2.4) 4, 8, 12, 30, 32. 3 Sep 12 2.5) 2, 8, 11; 2.6) 6, 10, 14, 16, 36. 4 Sep 19 2.7) 1, 5, 6, 17; 2.8) 2, 6, 16, 22, 34, 36; 2.9) 2, 15, 40, 43, 47. 5 Sep 26 3.1) 9, 13; 3.2) 14, 20, 32; 3.3) 8, 14, 18, 38, 50, 52; 3.4) 7, 11, 12, 16, 28. 6 Oct 3 3.5)4, 8,14, 30, 46, 52; 3.6)2, 5, 10, 22, 39; 3.7)4, 30, 34. 7 Oct 10 3.8) 2, 14, 26, 28; 3.9) 2, 4, 13, 15. 8 Oct 17 3.10)10, 18, 23, 24; 4.1) 2, 8, 20, 22, 23, 30; 4.2) 2, 14, 24, 30, 35, 52. 9 Oct 24 4.3)2, 12, 18; 4.4)4, 6, 8, 23. 10 Oct 31 4.6) 2, 14, 28, 30, 40; 4.7) 2, 6, 8, 22, 33, 34, 46; 5.1)16, 21, 29, 34, 39. 11 Nov 9 5.2)3, 10, 16, 22, 25; 5.3) 2, 10, 18, 22, 36; 5.4) 2, 8, 12, 20, 24. 12 Nov 14 5.5)4, 8, 16, 24; 5.6)2, 8, 13, 46. 13 Nov 21 5.7)4, 10, 16, 37; 5.8)2, 6, 10, 31, 34. 14 Nov 28 6.1)2, 6, 12, 16, 20, 31, 36; 6.2)2, 6, 17, 18, 20, 23. 15 Dec 5 6.3)2, 10, 17, 19; 6.4)2, 10, 15, 18, 19; 6.5)3, 5, 13, 19.

Tests and Exams
There will be two midterms, on Friday Sep 29 and on Friday Oct 10. The final exam will be on Thursday, Dec 14, 2 pm. No calculators, or notes will be allowed during the exams. Note: bring a bluebook to the exams.