Math 142 (Calculus II) Sections 007 and 008
Spring 2011

Lectures in LeConte 412 TTh 11:00-12:15
Computer Lab Mondays in LC 102
Recitation sections meet Fridays in LC 121
Section 007 meets 11:15-12:05 and Section 008 meets 10:10 - 11:00 MF

Note that the section with the higher number meets earlier on Mondays and Fridays.

Professor: Peter J. Nyikos

Office: LeConte 406.
Special office hours for the end of semester:
Monday, April 25 - 10:00 - 1:00;
Tuesday, April 26 - 1:00 - 4:20
Wednesday, April 27 - 10:40 - 4:00;
Thursday, April 28 - 2:20 - 4:20
Friday, April 29 - 11:30 - 3:00

There are a few answer keys for each of the tests in an envelope outside my office. Also there are some homework and test papers in another envelope that have not been picked up yet.

Extra credtt on pages 704 and 709 has been graded, and can be collected when I am in. On page 704, 38(a) and 38(b) have been solved by one person, and 40(c) by another.
On page 709, 40 (b) has been solved by several people.
As soon as one or another of these papers is picked up, the problems listed above on the picked-up papers will no longer be eligible for extra credit.

An additional extra credit problem, worth 6 points: do (b) in 40, page 704.

Phone: 7-5134

Email: nyikos @ math.sc.edu

TA: Richard Oh

The textbook for this course is Calculus: Early Transcendentals by James Stewart, 6th edition.

Sections 5.3 and 5.5 were reviewed in the first lecture. The rest of the course covered the following sections, in the following order:

The first test in this course was on Thursday, February 17. It covered Section 5.5 and Sections 7.1 through 7.5.

The second test was on Tuesday, April 5; it covered Sections 6.1 through 6.5 and 7.8.
The third test was on Tuesday, April 19; covered Sections 11.1 through 11.7.

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

(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 and Taylor and MacLaurin 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.


Information on policies and grading can be found here in pdf format.


Practice problems:
5.3 13, 15, 19, 23, 29
5.5 3, 5, 7, 15, 17, 53, 55, 59
7.2 1, 3, 7, 9, 37, 43, 45, 61
7.1 1, 3, 5, 7, 9
7.4 1, 3, 7, 9, 11, 15, 19, 21, 25, 35, 39
7.3 1, 3, 11, 19, 25
7.5 1, 7, 9, 13, 15, 17, 21, 23, 41, 43, 49, 51.
7.8 1, 5, 7, 9, 11, 13, 21, 27, 29, 31, 35, 39.
6.1 1, 5, 7, 11, 13, 21, 27.
6.2 3, 7, 9, 19, 23
6.3 1, 3, 5, 9, 37 both ways
6.4 3, 7, 9, 13

11.1 5, 9, 19, 21, 61, 63.
11.2 11, 13, 17, 25, 35, 37, 41.
11.3 3, 5, 7, 11, 17, 23, 33
11.4 3, 7, 11, 15, 17, 27
11.5 3, 5, 7, 11, 23, 27
11.6 1, 3, 5, 7, 13, 17
11.7 Odd-numbered problems 1-23 were put on the board, and a few were worked all the way while the others had the tests that would work discussed.
11.8 3, 5, 9, 11, 15, 25
10.3 1, 3, 5, 15, 17, 19, 21, 23

Dr. Milans, who substituted for me on March 17, has posted some worked problems pertaining to section 11.1 here that might be helpful for understanding the section.

Sections are listed in the order in which they are covered.

Homework due on Thursday, January 20:
5.3 18, 36
5.5 14, 16, 58, 66

Homework due on Thursday, January 27:
7.1 4, 6, 10, 12, 34
7.2 2, 8, 38, 44

Homework due on Thursday, February 3:
7.3 number 4
7.4 18, 24

Homework due on Tuesday, February 15 but which could have been handed in on the 10th already:
7.3 numbers 14, 24. Use trigononmetric substitution. No credit given for using integration formulas or Maple, etc.
7.4 28, 32, 44

Additional homework due on Tuesday, February 15: 7.8 numbers 6, 8, 22.

Homework due on Tuesday, February 22:
7.8 numbers 28, 30

Homework due on Thursday, March 3:
6.1 numbers 4, 8, 24
6.2 numbers 4, 6, 20, 24

Hand in Thursday, March 17
6.3 find the volumes for 6 and 10, and do 44
6.4 do number 4

Hand in Thursday, March 24
6.4 numbers 10 and 14

Hand in Thursday, March 31
11.1 numbers 8 and 22
11.2 numbers 18, 26, and 34

Hand in Thursday, April 7
11.3 numbers 4, 22, and 24
There was a typographical error above earlier; those who did the same problems in 11.1 can hand in the right ones on April 8 for full credit.

Hand in Thursday, April 14
11.4 numbers 14 and 22
11.5 numbers 8, 14 and 28

The first quiz was on Friday, January 21. It featured two problems on the 7.2 material. The second quiz, on Friday, January 28, featured two problems on the 7.1 material.
The quiz on Friday, March 4 featured a problem or two on the 7.8 material. The quiz on Friday, March 18 featured a problem on 6.1 and, for Section 8, a problem on 7.8. The quiz on Friday, March 25 featured a problem on 6.5. The one on Friday, April 8 features a problem or two on the 11.1 material.


Tutoring Services
There are various options for tutoring, both free and for pay, 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). Here is current information:

Math Tutoring Center: Free, walk-in tutoring sessions are available through the math department Monday - Thursday in LeConte 105 from 10am - 4pm. For more information see the Math Lab website.

Academic Centers for Excellence: Free, walk-in tutoring sessions are available through the university Monday - Thursday in Sims, Columbia Hall, and Bates House from 6pm - 8pm. (More info: Housing office

Student Success Center: Free tutoring sessions are available by appointment Sunday from 6pm - 10pm and Monday - Thursday from 1pm - 8pm. More information

Private Tutor: The math department maintains a list of private tutors who will work for a modest fee. More information


Extra Credit

Extra credit problems will be assigned from time to time. They 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.

There is no due date for extra credit, but once a fully correct solution is handed back, the problem is no longer eligible for extra credit.
If you can't quite get the solution to an extra credit problem but have some ideas, hand it in for partial credit. I will keep adding to your score as you improve your work on it.

The following are still eligible for extra credit:
Problems 38 and 40(c) on page 704.

Problems 38 and 40(b) on page 709.