SYLLABUS

Calculus II (Math 142, Sections 5 & 6)
Spring 2002, USC

Lecture Recitations
M W F 10:10-11:00 BA 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
Elena Kitti

Course Description
This class is continuation of Calculus I. The main topics, in the order that they are covered are:

Prerequisites
A grade of C or better in Math 141--familiarity with limits, derivatives, integrals, the fundamental theorem of calculus, and basic trigonometry.

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
Jan 14
16
18		 M
W
F		 7.1
7.3
7.3		 Intro to natural log
The natural exponential function
The natural exponential function
21
23
25		 M
W
F		 .
7.4
7.5		 MLK day
General exponentials and logs
Exponential growth and decay
28
30		 M
W		 7.7
7.7		 Inverse Trig. functions
Inverse Trig. functions
Feb 1 F 7.8 Hyperbolic functions
4
6
8		 M
W
F		 8.1
8.2
8.2		 Integration by substitution
Trig. integrals
Trig. integrals
11
13
15		 M
W
F		 8.3
8.3
.		 Rationalizing substitutions
Review
Midterm 1 (Covers up to 8.2)
18
20
22		 M
W
F		 8.4
8.5
8.5		 Integration by parts
Partial fractions
Partial fractions
25
27		 M
W		 9.1
9.2		 Indeterminate forms
Other indeterminate forms
Mar 1 F 9.2 Other indeterminate forms
4
6
8		 M
W
F		 9.3
9.4
10.1		 Improper integrals
More imporoper integrals
Infinite series
Mar 11
13
15		 M
W
F		 .
.
.		 Spring Break
Spring Break
Spring Break
18
20
22		 M
W
F		 10.2
10.2
10.3		 Infinite sequences
The divergence test
The integral test
25
27
29		 M
W
F		 10.4
10.4
.		 Comparison & ratio tests
Review
Midterm 2 (Covers up to 10.3)
Apr 1
3
5		 M
W
F		 .
10.5
10.5		 Easter
Alternating series tests
Alternating series tests
8
10
12		 M
W
F		 10.6
10.6
10.7		 Power series
Power series
More power series
15
17
19		 M
W
F		 10.8
10.8
11.1		 Taylor series
Taylor series
More Taylor series
22
24
26		 M
W
F		 11.2
11.2
11.3		 Numerical integration
Numerical integration
Newton's method
29 M 12.6 Polar Coordinates
May 1
3		 W
F		 .
.		 Review
Reading Day
8 W . Final Exam (Comprehensive)

Assignments
# Due Date Problems
1 Jan 22 7.1) 4, 5, 6, 8, 9, 11, 12, 16, 17, 18, 19, 24, 25, 26, 28, 29, 30, 39, 40, 46a;
7.3) 4, 5, 6, 7, 8, 12, 13, 14, 15, 16, 23, 24, 30, 31, 32, 42.
2 Jan 29 7.4) 3, 4, 5, 6, 18, 19, 20, 23, 24, 27, 28, 29, 30, 31, 32, 43;
7.5) 2, 3, 5, 6, 7, 8, 12, 14, 17, 18, 20, 21.
3 Feb 5 7.7) 19, 20, 22, 23, 29, 30, 31, 36, 37, 40, 42, 50, 53, 55, 58, 76, 77;
7.8) 2, 3, 4, 6, 13, 14, 15, 16, 38, 39, 42, 43, 53.
4 Feb 12 7.9) 6, 7, 8, 10, 16, 4, 5, 18, 21, 23;
8.1) 1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 15, 22, 24, 25, 40, 41, 47, 48, 68;
8.2) 1, 2, 3, 4, 5, 6.
5 Feb 19 8.3) 1, 2, 3, 9, 10, 11, 12, 13, 17, 18, 19, 20, 21, 22, 29, 32.
6 Feb 26 8.4) 1, 2, 5, 6, 11, 12, 13, 14, 15, 41, 47, 48;
8.5) 2, 3, 4, 5, 6, 10, 11, 13, 17, 18, 21.
7 Mar 5 9.1) 1, 2, 3, 4, 6, 8, 20;
9.2) 1, 2, 3, 4, 11, 14, 16, 21, 22, 23, 24, 30, 34.
8 Mar 19 9.3) 1, 2, 3, 4, 8, 13, 14, 19, 26, 27;
9.4) 3, 4, 7, 8, 16;
9.5) 39, 40;
10.1) 1, 2, 3, 4, 9, 16, 22, 23, 24, 31, 33, 34.
9 Mar 26 10.2) 1, 4, 5, 6, 8, 11, 16, 17, 18, 25, 26, 33, 36;
10.3) 2, 3, 4, 8, 13, 14, 23, 24, 25.
10 Apr 2 10.4) 2, 3, 5, 6, 7, 11, 12, 13, 16, 20, 23, 28, 44.
11 Apr 9 10.5) 2, 3, 4, 7, 8, 9, 13, 14, 15, 16, 19, 35, 37.
12 Apr 16 10.6) 1, 2, 5, 6, 7, 8, 12, 21;
10.7) 1, 2, 9, 10, 13, 14, 25, 36.
13 Apr 23 10.8) 4, 7, 19, 20, 28;
11.1) 1, 2, 3, 4, 9, 10, 11, 16, 19, 20, 39.
14 Apr 30 11.2) 1, 2, 7, 9, 10, 14, 15, 17;
11.3) 1, 2, 5, 6, 15.

Tests and Exams
There will be 2 midterms on Fridays Feb 15 and Mar 29. The Final Exam is on Wednesday, May 8, 9-12 am.

Grading
Your final grade is comprised of your scores on the homeworks (10%) the quizzes (10%), midterms (20% each) and the final exam (40%).

Attendance Policy
Consistent with the USC Undergraduate Bulletin, a grade penalty may be applied to any student missing more than three classes during the semester.

Study Hint
Work on your homework assignments everyday, and for a total of at least 9 hours each week.