Professor: Peter J. Nyikos

Office: LeConte 406.

Phone: 7-5134

Email: nyikos @ math.sc.edu

Office hours when classes are in session [Of course, this excludes Labor Day,
Fall and Thanksgiving breaks,
and announced University closures]:

Monday and Wednesday 10:30 - 11:50 AM and 12:30 - 3:00 PM,

Tuesday and Thursday 1:00 - 3:30 PM.

Also by appointment, and whenever I am in. Exceptions posted on door and announced
in advance if possible.

TA: Zhiyu Wang

The final exam is on Tuesday, December 11, starting 12:30PM. It is cumulative, but special emphasis is given to material not covered on the tests, towards the end of the course. This includes intervals of convergence of power series, and the material covered in Chapter 11. A good understanding of the chain rule and u-substitution, and basic integration formulas(sin, cos, e^x, x^n) from first semester calculus is needed.

The last date for withdrawal with a W was moved to Thursday, October 18 due to the cancellation of classes on Thursday, October 11. Since that is also the first full day of Fall Break, the first test was postponed only to Friday, October 12, at the places and times for the recitation sections.

There were only be two tests in this course. The first was originally scheduled for October 11. The other was on Thursday, November 29.

The second hour test covered Sections 10.2 through 10.6, and 10.8, on series.

The textbook for this course is *Thomas' Calculus: Early Transcendentals *

Summaries of differentiation and integration rules were provided the first week, along with a review of Section 8.1.

The rest of the course covers the following sections, in the following order:

- 8.2, 8.3, 8.4, 8.5, 8.8
- 10.1 through 10.9
- 11.1 through 11.3. These are preparatory for Math 241 (multivariate calculus) but since not everyone goes on to take that course, these sections are important too.

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 finding of area in polar coordinates.

The grade for the course is primarily based on a quiz grade scaled to 100 points, a lab grade worth 100 points, two tests worth 100 points each, and the final exam of 200 points. The lab grade is partly based on attendance, and in borderline cases, classroom attendance is also into account, as long as absences do not exceed 10% and are thus considered excessive. In no case will absences from class lower a course grade more than one grade level, i.e. from A to B+, etc.

Only simple calculators (available for $20 or less)
are needed for this course, and they will
be needed only a small fraction of the time, outside of class.
Neither the quizzes, nor the hour tests, nor the
final exam will require their use, although they may save some
time on a few problems. ** Programmable calculators are not
permitted for quizzes, tests, or the final exam. **

Further information on policies and grading can be found by clicking here. It is for a different class, so please ignore the first paragraph, and note that in this course I am dropping the two lowest quiz grades.

Some students still have questions about the system used for determining final letter grades for the course.
The system is to add up cutoffs for each item (test 1, test 2, lab, quizzes, final exam) and to
compare it with the totals made by each individual to determine the letter grade for the course for
that individual.

Someone could theoretically get all A's except
one B+, but if the A's are all close to the cutoff for A and the B+ is close to its cutoff,
the grade for the course could turn out to be B+ instead of A.

For a sample of how the system
was applied in another course which had 3 tests instead of 2 during the regular semester, click
on the link at the bottom of the page you get when you
click here. It should be easy to see what would have happened if there had been only two tests in the course.

Practice problems, useful for final exam:

8.2: 3, 5, 7, 13, 31, 33, 35.

8.3: 3, 5, 17, 33, 35

8.4: 1, 5, 23.

8.5: 3, 5, 7, 11, 17, 21

8.8: 1, 5, 9, 25.

10.1: 3, 27, 29, 33, 45, 49

10.2: 1, 15, 17, 27, 29, 45, 47

10.3: 3, 5, 7, 11, 13, 15

10.4: 1, 3, 9, 15

10.5: 1, 3, 5, 21, 25

10.6: 7, 11, 21, 23, 33, 49, 51

10.7: 1, 3, 11, 15

10.8: 3, 15, 29

11.1: 19

11.2: 1. 5. 9

11.3: 5acdf, 7, 33, 35, 45, 61