Final reviews by Adrian Banner:

- Tueday, May 4, 7:30-10:00 pm
- Thursday, May 6, 7:30-10:00 pm
- Tuesday, May 11, 7:30-11:30 pm

Butler College group study. This meets at Butler College, Sundays from 3:00-4:30 pm, for students in MAT 104 and MAT 201. It is an opportunity to work together on homework and there will be tutors. There is a survey.

In addition, we recommend Adrian Banner's *The Calculus Lifesaver:
All the Tools You Need to Excel at Calculus* available
here.
This site also has free videos of
Adrian's excellent review sessions for MAT 104 and MAT 103.

Please be aware that the homework problems tend to be easier than the problems you will encounter on quizzes and exams, so just doing the homework is not adequate preparation for this course. This web page contains many sample quizzes and exams with answers. You should try a fair number of them, working them out fully and then checking your answers. It is more helpful if you do this together with one or two other students in the course.

- Fall 2003 final with answers.
- Spring 2004 final with answers.
- Spring 2006 final with answers.
- Fall 2006 final with answers.
- Spring 03 final with answers.
- Fall 02-03 final with answers.

- Substitution and integration by parts
- Substitution and trigonometric cofunctions
- Overview of integration techniques
(In 5 of "Partial Fractions",
*dx+f*means the number*d*times*x*plus*f*.) - Quizzes with answers
*The quizzes for the next two weeks also have some relevant problems for substitution and integration by parts.* - integration quiz (including some partial fractions) with answers

- Partial fractions
- Help with partial fractions
- Quizzes with answers
*See also next week's quizzes.*

- Trigonometric substitution
- Quizzes with answers. With a correction to the answer for problem 2 of the third quiz.
- See also problem 1 in this second integration quiz and the answer. (This quiz has some questions on volumes, a week 11 topic for us.)
- methods of integration review: 49 integration problems with answers
- Portions of review video 1 and review video 3.

- Improper integrals
- The very useful ~ notation is explained in Functions asymptotic to each other
- Overview of improper integrals.
- Quizzes with answers (one question on each quiz concerns improper integrals).
- 43 problems on improper integrals with answers
- Portions of review video 4 and review video 5.

- Tests for convergence of series
- Succinct series
- Overview of sequences and series.
- Quizzes with answers (Skip problems with alternating signs until next week.)
- 10 questions on geometric series, sequences, and l'Hôpital's rule with answers
- 57 series problems with answers
- series and review quiz with answers
- Again, portions of review video 4 and review video 5.

- Alternating series, absolute convergence
- Quizzes with answers
- See also problem 1 on this series quiz and the answer. (This quiz also has some questions on Taylor series, a week 8 topic for us.)
- Once again, portions of review video 4 and review video 5.
- midterm review:
- Fall 04 midterm with answers. (Note that the factor of 2 in the answer to problem 4 is mistaken.)
- Spring 03 midterm with answers
- Fall 02-03 midterm with
answers

- Power series
- Taylor series
- Quizzes with answers
- More quizzes with answers
- Problems on Taylor series and Taylor polynomials with remainder, with answers
- questions about Taylor series with answers
- series review: series quiz with answers
- Taylor series animations. Note the radical difference between finite and infinite radius of convergence.
- Again, review video 5.

- Complex numbers
- Euler's formula
- Quizzes with answers
- problems concerning complex numbers with answers
- Review video 2.

- First order differential equations
- No quizzes with answers are available, but see the Recent Final Exams with Answers.

- Second order differential equations
- No quizzes with answers are available, but see the Recent Final Exams with Answers.

- Volume, length, surface area
- Quizzes with answers
- area, volume, and length problems with answers
- shell method animations
- Portions of review video 1 and review video 3.

If you have a suggestion for improving this Web page, let us know.

These documents were written by Louis-Pierre Arguin, Adrian Banner, Jennifer Johnson, Edward Nelson, Jake Rasmussen, Ricardo Saenz, Andrew Snowden, Frank Swenton, Andrew Török, and others.

A note to the person in charge of a future MAT 104 course.