Math 142 (Calculus II) Sections 007 and 008 Fall 2009

Lectures in LeConte 113 TTh 11:00-12:15 Computer Lab Mondays in LC 102 Recitation sections meet Fridays in LC 115 Section 007 meets 10:10-11:00 and Section 008 meets 11:15-12:05 MF

Professor: Peter J. Nyikos

Office: LeConte 406.
Office hours: TTh 1 - 3, and any time when I am in, and by appointment; exceptions posted on my door and announced in advance whenever possible.

Extended office hours beginning December 3:
Thursday, December 3: 1-4 pm
Friday, December 4: 10-11:50 am
Monday, December 7: 2:30 - 5:30
Tuesday, December 8: 1:30 - 4:30
Wednesday, December 9: 12:00 - 3:00
Thursday, December 10: 9:00 - 11:00 [tentative]
Office hours for the rest of finals week posted later.

Phone: 7-5134

Email: nyikos @ math.sc.edu

Lab supervisor: Ronda Sanders
TA: David Collins
Student Instructor: Justin Fox

The textbook for this course is Calculus, Early Transcendentals by Anton, Bivens, and Davis, 8th edition. Sections 6.3, 6.8, and 6.9 were reviewed during the first two classes. The rest of the course covers the following sections:

7.1 through 7.4
7.6 and 7.7
8.1 through 8.5, and 8.8
Chapter 10, except for 10.7, 10.9 and 10.10
11.1

The first test was on September 22. It covered the sections 7.1 through 8.1 listed above.

The second test was on Thursday, October 29. It covered Sections 8.1 through 8.5, and section 8.8.

The third test was on November 24. It covered Section 8.3 and sections 10.1 through 10.6.

Objectives for this course: (1) Proficiency in applications of the integral, including the finding of areas, volumes, lengths of arcs, average values of functions on intervals, and work;

(2) Mastery of techniques of integration including ordinary and trigonometric substitution, integration by parts, partial fraction techniques, and the evaluation of improper integrals;

(3) Ability to evaluate limits of infinite sequences and series, including power series, where possible, and otherwise to determine whether they converge or diverge, and to find intervals of convergence for power series;

(4) Achieving a good understanding of polar coordinates, including graphing in polar coordinates and the integration of functions with respect to polar coordinates.

For a sample of how the grading system works, click here. It is for a different class but the idea behind it is the same.

"Math Lab" Tutoring Center The Math Lab Tutoring Center (not to be confused with the Monday computer lab, which is an integral part of Math 142) is a free tutoring service for all 100-level math courses. This help is provided in addition to the help you get from me, the TA, and the Student Instructor (SI). No appointment is necessary.

For information see the Math Lab website.

Practice Problems (to be discussed on Fridays, not to be handed in):

Section 8.1: 3, 9, 11, 25
Section 8.2: Quick check 1, 2, 3 and 1, 5, 9, 15, 21, 23
Section 8.3: Quick check 3 and 3, 9, 11, 13, 29, 35
Section 8.4: 1, 5, 33, 35
Section 8.5: Quick check 3, 4, 5 and 5, 7, 9, 13, 15, 23, 29
Section 8.8: Quick check 1, 2, 3, 4 and 1, 3, 5, 15, 17, 21, 25
Section 10.1: Quick Check 1 and problems 1, 3, 5, 17, 25, 27
Section 10.2: Quick Check 2, 3, 4 and problems 1, 3, 7, 9, and 13
Section 10.3: Quick Check exercises and problems 1(b), 3, 5, 7, and 15
Section 10.4: Quick Check 1, 3, 4 and problems 1, 3, 7, and 13
Section 10.5: Quick Check exercises and problems 3, 13, 15, 27, and 29
Section 10.8: Quick Check 2, 3, 4 and problems 27, 29, 31, and 33
Section 11.1: Quick Check 2, 3 and problems 1, 3, and 11

Homework to be handed in Thursday, September 24:

Section 7.7, number 20
Section 8.1, number 22
Section 8.3, numbers 10, 12, 14, 30

Homework to be handed in Tuesday, October 13:

Section 8.2, numbers 2, 10, 18, 22, 26.

Homework to be handed in Tuesday, October 20:

Section 8.4, numbers 10, 26, 38.

Homework to be handed in Tuesday, October 27:

Section 8.8, numbers 2(a), 4, 8, 16, 26.

Homework to be handed in Tuesday, November 3:

Section 10.1, numbers 2(b), 4(b), 10, 12, 24.

Homework to be handed in Tuesday, November 3:

Section 10.1, numbers 2(b), 4(b), 10, 12, 24.

Homework to be handed in Tuesday, November 10:

Section 10.2, numbers 4 and 10;
Section 10.3, numbers 2 and 6.

Homework to be handed in Tuesday, November 17:

Section 10.4, numbers 2(b), 6(b)(c), 14, 18;
Section 10.5, numbers 4(a), 10, 14, 26.

Homework to be handed in Tuesday, December 1:
Section 10.6, numbers 2, 8, 24, 28, 32 (find an upper bound using Theorem 10.6.2.)

Extra Credit

Extra credit problems are to be done strictly on your own, except that I am willing to give you advice. You are not to discuss them with anyone else.

Eligibility for extra credit on problems ends once a correct solution is handed back to one (or more) of the students. This is now the case for all but three of the extra credit problems listed below.

If you can't quite get the solution to an extra credit problem but have some ideas, hand in what you have done on it for partial credit. I will keep giving you hints and adding to your score as you improve your work on it.

1. p.435, number 18 (6 points) [eligibility expired]
2. p.435, number 24 (6 points) [eligibility expired]
3. p.435, number 26 (5 points)
4. p.465, number 24 (8 points) [eligibility expired]
5. p.535, number 8 (5 points) [eligibility expired]
6. p.544, number 36 (5 points) [eligibility expired]
7. p.635, number 44 (5 points) [eligibility expired]
8. p.641, Quick Check 1, third part, give first term where it stops decreasing (2 points) [eligibility expired]
9. p.665, number 52 (3 points for correct answer, 5 points for justified correct answer)
10. p.674, number 52 (3 points for correct answer, 5 points for justified correct answer)