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
Professor Mohammad Ghomi
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

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.

Lecture and Reading Schedule
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 14
16		 T
TH		 2.1,2.2
2.3		 Functions and their graph
Trig functions
21
23		 T
TH		 2.4,2.5
2.6		 Intro to Limits
Limit theorems
28
30		 T
TH		 2.7,2.8
2.9		 Trig Limits, Limits at Infinity
Continuity
Feb 4
6		 T
TH		 3.1,3.2
3.3		 Intro to derivatives
Rules for derivatives
11
13		 T
TH		 3.4
.		 Derivatives of Trig Functions, Review
Midterm 1(Covers up to and including 3.2)
18
20		 T
TH		 3.5,3.6
3.7		 The Chain Rule
Higher order derivatives
25
27		 T
TH		 3.8,3.9
3.10		 Related rates
Differentials and approximations
Mar 4
6		 T
TH		 4.1,4.2
4.3		 Maxima and Minima, Concavity
Local Maxima and Minima
11
13		 T
TH		 .
.		 Spring Break
Spring Break
18
20		 T
TH		 4.4,4.6
4.7		 More Max-Min, Graphing
The Mean Value Theorem
25
27		 T
TH		 5.1
.		 Antiderivatives
Midterm 2(Covers up to and including 4.4)
Apr 1
3		 T
TH		 5.2
5.3,5.4		 Intro to Differential equations
Sums, Intro to Areas
8
10		 T
TH		 5.5
5.6,5.7		 Definite Integrals
The Fundamental theorems
15
17		 T
TH		 5.8
6.1,6.2		 Evaluating definite integrals
Areas and Volumes
22
24		 T
TH		 6.4
6.5		 Length of Planar Curves
Work
29
.		 T
TH		 .
.		 Review
Reading 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.

Grading
The final grade is based on homeworks and quizzes, 20%, midterms, 20% each, and the final exam, 40%.

A Few More Study Hints and Guidelines
Learning Mathematics is a demanding affair. It requires a good deal of self discipline and hard work to appreciate the power and beauty of the subject. Further, solving Calculus problems, much like playing a musical instrument, is a skill, which can be developed only through persistent practice. You should plan to work on your exercises everyday, and for a total of at least 10 hours each week. Also, it is very important that you faithfully attend all lectures.

A good deal of class time shall be devoted to working through problems. Do not get into the habit of sitting passively and expecting the professor to make you understand. Rather, you should take out your paper and pencil and try to do the problems at the same time with your instructor. If something is unclear to you, feel free to ask questions, and if you need more help, go see your instructor and/or the TA during the office hours. If you cannot come during the office hours, you are welcome to knock on the professor's door at another time, or send an email for an appointment.