SYLLABUS

Calculus II (Math 142, Sections 5 & 6)
Fall 2001, USC

Lecture Recitations
M W F 12:20-1:10 PSC 002. 5: T TH 9:30-10:20 LC 112;
6: T TH 11:00-11:50 LC 112;
Instructor
Professor Mohammad Ghomi

Teaching Assistant
Jason Rodgers

Course Description
This class is continuation of Calculus I. Main topics include: exponential and inverse trigonometric functions; techniques of integration; L'Hopital's rule; Numerical integration and Newton's method; infinite sequences and series. Applications of these concepts will be developed and emphasized at each step.

Prerequisites
Math 141--familiarity with derivatives, inegrals, and the fundamental theorem of calculus.

Textbook
Calculus, by Varberg, Purcell, and Rigdon, eighth edition.

Homework and Quizzes
There will be homework assignments due every Tuesday. Late homeworks will not be accepted. Also, there will be quizzes every Thursday. No calculators, textbooks, or notes will be allowed.

Lecture and Reading Schedule
Dates Lectures
Aug 24 F 7.1 Intro to natural log
27
29
31		 M
W
F		 7.2
7.3
7.4		 Inverse functions and derivatives
The natural exponential function
General exponentials and logs.
Sep 3
5
7		 M
W
F		 .
7.5
7.7		 Labor Day-no classes
Growth and decay
Inverse trig. functions
10
12
14		 M
W
F		 7.8
8.1
8.2		 Hyperbolic functions
Integration by substitution
Trig. integrals
17
19
21		 M
W
F		 8.3
.
.		 Rationalizing substitutions
Review
Exam 1 (Covers up to 8.1)
24
26
28		 M
W
F		 8.4
8.5
8.5		 Integration by parts
Partial fractions
Partial fractions
Oct 1
3
5		 M
W
F		 9.1
9.2
9.3		 L'Hopital's Rule
More L'Hopital
Improper integrals
8
10
12		 M
W
F		 9.4
10.1
10.1		 More imporoper integrals
Infinite sequences
Infinite sequences
15
17
19		 M
W
F		 .
.
.		 Fall Break-no classes
Review
Exam 2 (Covers up to 10.1)
Oct 22
24
26		 M
W
F		 10.2
10.2
10.3		 Infinite series
Infinite series
The integral test
29
31		 M
W		 10.4
10.5		 Comparison and Ratio tests
Alternating series
Nov 2 F 10.5 Alternating series
5
7
9		 M
W
F		 10.6
10.7
10.8		 Power series
More power series
Taylor series
12
14
16		 M
W
F		 11.1
.
.		 Approximating functions
Review
Exam 3 (Covers up to 10.7)
19
21
23		 M
W
F		 11.2
.
.		 Numerical integration
Thanksgiving-no classes
Thanksgiving-no classes
26
28
30		 M
W
F		 12.1
12.2
12.6		 Parabolas
Ellipses and hyperbolas
Polar coordinates
Dec 3
5
7		 M
W
F		 12.7
.
.		 Graphs of polar equations
Review
Review
13 Th . Final Exam (Comprehensive)
.

.

Assignments
Homework # Due Date Problems
1 Aug 28 7.1)1, 4, 8, 16, 18, 24, 30, 39.
2 Sep 4 7.1) 49;
7.2) 4, 6, 8, 11, 16, 20;
7.3) 4, 8, 12, 23, 24, 30, 32.
3 Sep 11 7.4) 6, 18, 20, 24, 28, 30, 44;
7.5) 2, 6, 8, 12, 14, 18, 21.
4 Sep 18 7.7) 20, 30, 40, 43, 50, 53, 58, 77;
7.8) 2, 11, 14, 18, 60;
7.9) 4, 6, 11, 12, 22, 47.
5 Sep 25 8.1) 4, 6, 11, 12, 22, 47, 68;
8.2) 2, 4, 7, 12;
8.3) 2, 4, 10, 18, 32.
6 Oct 2 8.4) 2, 11, 14, 41, 47;
8.5) 2, 3, 6, 11, 13.
7 Oct 9 8.6) 4, 6, 11, 14, 34, 35;
9.1) 2, 6, 8;
9.2) 2, 7, 11, 16, 21, 22, 23, 24.
8 Oct 18 9.3) 2, 8, 14, 19, 26, 27;
9.4) 4, 8, 16;
10.1) 2, 4, 9, 22, 23, 31, 35.
9 Oct 23 10.1) 3, 16, 24, 30, 34, 53.
10 Oct 30 10.2) 1, 4, 5, 6, 7, 8, 16, 18, 25, 33, 36, 38.
11 Nov 6 10.3) 2, 3, 8, 13, 14, 22, 24, 25;
10.4) 2, 5, 6, 7, 11, 12, 13, 16, 20, 23, 28, 35.
12 Nov 13 10.5) 2, 4, 5, 7, 8, 9, 10, 13, 14, 15, 16, 19, 24, 31, 35;
10.6) 2, 4, 6, 8, 12.
13 Nov 20 10.7) 1, 2, 9, 10, 14, 25
10.8) 4, 7, 20, 22, 28,
11.1) 2, 3, 10, 15, 39.
14 Nov 27 11.2) 2, 5, 7, 15, 30.
15 Dec 4 12.1) 2, 4, 8, 10, 12, 16, 18, 33, 34, 36;
12.2) 2, 4, 6, 12, 14, 16, 32, 36.

Tests and Exams
There will be 3 midterms on Fridays Sep 21, Oct 19, and Nov 16. The Final Exam is on Thursday, Dec 13, 2-5 pm.

Grading
Your final grade is comprised of your scores on the homeworks (10%), quizzes (10%), midterms (15% each) and the final exam (35%).

Study Hints and Guidelines
Solving Calculus problems, much like playing a musical instrument, is a skill, which can be developed only through persistent practice. Plan to work on the homework assignments everyday, and for a total of at least 8 hours each week.

Also, it is very important that you attend all lectures. Consistent with the USC Undergraduate Bulletin, a grade penalty may be applied to any student missing more than three classes during the semester.

You are strongly encouraged to ask questions during the lectures, and participate in classroom discussions. Further, feel free to see your instructor during the office hours. If you cannot come at the scheduled hours, you may knock on the Professor's door at any other time, or send an email for an appointment.