# SYLLABUS

## Calculus I (Math 141, Sections 5 & 6) Spring 2003, USC

Lecture Recitations
T Th 9:30-10:45 am Sum 213. 5: MW 9:05- 9:55am, LC 112;
6: MW 10:10-11:00am, LC 112 .
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
David Smith
• Office: 122B LeConte
• Office hours: MW 11am-12am
• Email: dsmith@sc.edu

Course Description
This is an introduction to Calculus. We will study limits, derivatives, and integrals of real valued functions of one variable. A range of applications of these concepts in geometry, physics, and engineering will be discussed as well.

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 Wednesday. Late homeworks will not be accepted.

Also, there will be weekly quizzes every Wednesday. 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 Jan 1416 TTH 2.1,2.22.3 Functions and their graphTrig functions 2123 TTH 2.4,2.52.6 Intro to LimitsLimit theorems 2830 TTH 2.7,2.82.9 Trig Limits, Limits at InfinityContinuity Feb 46 TTH 3.1,3.23.3 Intro to derivativesRules for derivatives 1113 TTH 3.4. Derivatives of Trig Functions, ReviewMidterm 1(Covers up to and including 3.2) 1820 TTH 3.5,3.63.7 The Chain RuleHigher order derivatives 2527 TTH 3.8,3.93.10 Related ratesDifferentials and approximations Mar 46 TTH 4.1,4.24.3 Maxima and Minima, ConcavityLocal Maxima and Minima 1113 TTH .. Spring BreakSpring Break 1820 TTH 4.4,4.64.7 More Max-Min, GraphingThe Mean Value Theorem 2527 TTH 5.1. AntiderivativesMidterm 2(Covers up to and including 4.4) Apr 13 TTH 5.25.3,5.4 Intro to Differential equationsSums, Intro to Areas 810 TTH 5.5 5.6,5.7 Definite IntegralsThe Fundamental theorems 1517 TTH 5.86.1,6.2 Evaluating definite integralsAreas and Volumes 2224 TTH 6.46.5 Length of Planar CurvesWork 29. TTH .. ReviewReading Day May 6 T . 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 Jan 15 1.4)3, 4,17,18, 21, 22; 1.5) 3, 4, 8, 14; 1.6) 2, 9, 10, 17, 18; 1.7) 1, 4, 10. 2 Jan 22 2.1) 4, 7, 8, 9, 10, 14 a b, 15, 16, 20, 34, 36; 2.2) 1, 2, 12, 24, 25; 2.3) 11, 25, 26, 27, 28, 42, 44, 45. 3 Jan 29 2.4) 1, 4, 7, 8, 12, 30, 32, 34; 2.5) 1, 2, 7, 8; 2.6) 2, 3, 6, 10, 14, 15, 22, 24, 27. 4 Feb 5 2.7) 1, 2, 5, 6, 7, 17; 2.8) 2, 3, 6, 16, 22, 34, 36, 49a,b,c; 5 Feb 12 2.9) 2, 3, 12, 15, 16, 18, 20, 39, 40, 43, 47; 3.1) 9, 11, 13, 18, 21; 3.2) 5, 14, 20, 32, 44, 50. 6 Feb 19 3.3)4, 7, 8, 14, 18, 27, 28, 34, 38, 50, 52, 56; 7 Feb 26 3.4) 3, 4, 7, 11, 12, 16, 24; 3.5) 3, 4, 8,14, 30, 43, 46, 48, 52; 3.6) 2, 5, 10, 22, 39; 3.7) 3, 4, 30, 34, 36. 8 Mar 5 3.8) 2, 3, 13, 14, 25, 26, 28; 3.9) 2, 4, 9, 13, 15. 9 Mar 19 3.10)2, 3, 10, 18, 19, 23, 24; 4.1) 2, 7, 8, 17, 20, 22, 23, 30; 4.2) 2, 3, 14, 24, 30, 31, 35, 52. 10 Mar 26 4.3)1, 2, 4, 9, 12, 18, 20; 4.4)3, 4, 6, 8, 19, 21, 23. 11 Apr 2 4.6) 2, 3, 14, 28, 30, 40; 4.7) 2, 6, 8, 22, 33, 34, 46, 51. 12 Apr 9 5.1)16, 21, 29, 34, 39. 5.2)3, 10, 16, 22, 25; 5.3) 2, 10, 18, 22, 36; 13 Apr 16 5.4) 2, 8, 12, 20, 24. 5.5)4, 8, 15, 16, 24; 5.6)2, 8, 13, 14, 46. 14 Apr 23 5.7)3, 4, 10, 16, 17, 23, 37; 5.8)2, 6, 10, 31, 34, 47, 53. 15 Apr 30 6.1)2, 6, 12, 16, 20, 31, 36; 6.2)2, 6, 17, 18, 20, 23.

Tests and Exams
There will be two midterms, on Thursdays Feb 13 and Mar 27. The Final Exam will be on Tuesday, May 6, 9:00 am. No calculators, or notes will be allowed during the exams.