Math 2 -- Homework

Math 2
Calculus with Algebra and Trigonometry
Last updated March 1, 2005

Homework

Problem Set 1
(Due Monday, January 10)

Topics: Trigonometry, Derivatives, and Related Rates

Click here to download the problem set.

Solutions to this homework set are posted here.

Problem Set 2
(Due Wednesday, January 19)

Topics: Optimization, Marginality, and Riemann Sums

Complete the problems shown in the bulleted list below, as well as the problems included in the Homework Supplement. (A link to the Homework Supplement is included here).

Things to note for the HW supplement:

For Problem #1: See Example from the textbook, pp. 185-186.
For Problem #2: Be sure to check out the Addendum for problem 2 on the Supplement, which is included here.

Assigned problems from the text:

Section 4.3: problem 8
Section 4.4: problem 5 (parts (a) and (b) only)
Section 4.5: problem 18
Section 5.1: problems 2, 4, 7

Also, suggested problems are included below to aid in your study; they will not be collected.

Suggested problems: section 4.3, problems 7 & 23; section 4.5, problem 9; section 4.4, problem 7; section 5.1, problem 9

Solutions to this homework set are posted here.

Bonus Question 1
(Due Wednesday, January 19)

You can access the bonus question here. It is worth two bonus points.

Problem Set 3
(Due Monday, January 24)

Topics: Riemann Sums and the Definite Integral

Complete the following problems from the text:

Section 5.2: problems 1 & 2
Section 5.3: problems 8, 14, 24
Note: Section 5.4: problem 18 has been dropped from this assignment.

Solutions to this problem set are available here.

Also, suggested problems are included below to aid in your study; they will not be collected.

Suggested problems: Section 5.2 problem 23; Section 5.3 problems 7 & 25; Section 5.4 problems 14 & 17

Problem Set 4
(Due Monday, January 31)

Topics: The Fundamental Theorem of Calculus, Antiderivatives

Complete the following problems from the text:

Section 5.4: problems 10, 11, 12, 13, 18
Section 6.2: problems 4, 5, 10, 18, 19

Solutions to this problem set are available here.

Integral Worksheet

Solutions to Friday's integral worksheet can be found here.

Problem Set 5
(Due Monday, February 7)

Topics: Indefinite Integrals, Second Fundamental Theorem of Calculus

Complete the following problems from the text:

Section 6.4: problems 12, 16, 18
Chapter 6 Review (pp. 273-275): problems 2, 6, 8, 10, 12, 27

Also, suggested problems are included below to aid in your study; they will not be collected.

Suggested problems: Section 6.4 problem 19; Chapter 6 Review problems 3, 9, 16, 34; Section 7.1 problem 36.

Solutions to this problem set are available here.

Bonus Question 3
(Due Monday, February 7)

The bonus question can be accessed here.

Problem Set 6
(Due Monday, February 14)

Topic: Integration by Substitution

Complete the following problems from the text:

Section 7.1: problems 12, 32, 34, 38
Section 7.2: problems 14, 18, 20
Focus on Practice (pp. 334-335): problems 39, 45, 50

Also note: Problems 1-75 in the Focus on Practice section would be good for study.

Solutions to this problem set are available here.

Problem Set 7
(Due Monday, February 21)

Topic: Integration by Parts

Complete the following problems from the text:

Section 7.3: problems 6, 10, 12, 16, 20, 29, 30, 32 NOTE: The text instructs you to both "evaluate exactly" and to "evaluate numerically" on the definite integral problems. Since we have not been computing integrals numerically, please ignore the "evaluate numerically" instruction. Of course, you should complete the "evaluate exactly" part of the problems.

Also, suggested problems are included below to aid in your study; they will not be collected.

Suggested problems: Section 7.3, problems 4, 15, 19, 21, 25, 26, 28, 36.

Solutions to this problem set are available here.

Problem Set 8
(Due Monday, February 28)

Topic: Differential Equations & Applications to Physics

This homework assignment may be accessed here.

Solutions are now available here.

Suggested Problems
(These will not be collected)

Note that the answers to odd numbered problems are given in the back of the book.

Improper Integrals:

Section 7.7: problems 1-24
Section 7.8: problems 2-16
Chapter 7 Review: problems 9-26
A worksheet on improper integrals is available here.

Volume & Solids of Revolution:

Section 8.1: problems 2, 5, 8-13

Arclength:

Section 8.1: problems 19, 20, 21, 23