Mathematics 104, Fall 2009

ANNOUNCEMENTS

The final exam will take place from 7:30 to 10:30 pm on Tuesday, January 19, in McDonnell A02.

TEXTBOOK

The text is Thomas' Calculus -- Early Transcendentals, Including Second-Order Differential Equations -- 11th. ed., Part One.

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.

Is MAT 104 the right course for me?

See Choosing a Calculus Course.

Review Sessions

Joro Todorov will conduct weekly review sessions Wednesday evenings from 7:00 to 9:00 in Fine 314. Many students have found these sessions to be extremely helpful. Take advantage of this opportunity!

Reviewing quizzes and homework

Any athletic coach will tell you that it is essential to correct errors before they become ingrained habits. When a quiz or homework is returned, don't just look at the grade and toss it aside. Take a few minutes to find your error and work the problem correctly. If there is something you don't understand, ask your teacher or grader. This will do more to improve your performance than spending twice as long in general studying.

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.

Course Documents

Recent Midterm with Answers

Spring 2009 midterm with answers.

Recent Final Exams with Answers

Weekly Help

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
- 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
- Review video 5.
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
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.