Math 2: Calculus with Algebra and Trigonometry

 Course Information Syllabus Main Page Exams

Homework

Written Homework: The first written assignment will be assigned Friday, January 7 and will be due Thursday, January 13 by 10 AM. The second written assignment will be assigned Wednesday, January 12 and will be due Wednesday, January 19. All subsequent written assignments will be due on Mondays.

Written Homework Policy:

• Late homework will be collected and corrected, but will receive a score of 0.

• Homework is to be written neatly using 8 1/2 x 11 inch paper. Do not use paper from a spiral notebook unless you can tear off the ragged edge. All papers are to be stapled.

• Show your work. It is not your instructor's job to decipher what you mean by the symbols on the page; rather, it is your job to explain your work clearly enough to convey your understanding of the material to your instructor. A good rule of thumb: Explain and justify your steps as if the person reading your homework were another student, taking the same course, who had missed the last week of class.
• Use English. If you can't read your solutions aloud as fluently as if you were reading your textbook, try using nouns and verbs in your write ups!

• Consult the honor principle as it applies to this course.

WeBWorK:

Extra Credit

Successful completion of the Extra Credit assignment (a 3-page paper about an aspect of either the history or the applications of calculus) will change your lowest homework score to a 100%. You must meet with your instructor to choose a topic for the Extra Credit assignment by Friday, February 25; the paper must be turned in before the final exam, on Saturday, March 12.

Practice Problems

Below are some suggestions for problems to work on if you feel you need extra practice with certain concepts. Your tutors and instructors will be happy to answer questions about these; however, they are optional, and will not be collected or graded.

All problems listed come from Stewart.

3.4: The Chain Rule 1, 9, 11, 17, 29, 31, 71, 81
4.9: Antiderivatives 7, 11, 13, 31, 37, 43, 45, 65
5.1: Areas and Distances 3, 13, 17
5.2: The Definite Integral 3, 5, 23, 25, 29, 33, 35, 36, 49
5.3: The Fundamental Theorem of Calculus 9, 11, 13, 15, 17, 19, 23, 25, 29, 31, 35, 39, 43
5.4: Indefinite Integrals and the Net Change Theorem 5, 9, 11, 19, 49, 51
5.5: The Substitution Rule 7, 9, 11, 13, 23, 25, 27, 29, 31, 51, 55, 61, 67, 73, 75, 79, 81
You may also want to review Section 3.5, Implicit Differentiation.
6.1: Areas Between Curves 9, 13, 15, 20, 25, 41
6.2: Volumes 3, 5, 9, 11, 19, 21, 50, 53
6.3: Volumes by Cylindrical Shells 1, 3, 5, 9, 11, 15, 17, 19, 21, 25, 29, 31
6.5: Average Value 1, 3, 5, 7, 9, 13, 16
7.1: Integration by Parts 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 29, 37
7.2: Trigonometric Integrals 1, 3, 5, 17, 21, 25, 27, 31, 33
7.3: Trigonometric Substitution 1, 3, 5, 7, 9, 13, 19, 33
7.4: Partial Fractions 1, 3, 7, 9, 11, 15, 19
7.5: Strategy for Integration 1, 5, 7, 9, 11, 13, 15, 19, 21, 25, 29, 39, 41, 45, 47, 59, 67, 79
7.8: Improper Integrals 1, 5, 7, 9, 11, 13, 17, 19, 21, 23, 25, 27, 29, 31, 35, 41
8.1: Arclength 3, 5, 7, 13, 19

Assignments (Week of February 28)

• Written Assignment: (due Wednesday, March 9 at the beginning of class)
Here is the final version of the final written assignment for Math 2. Enjoy!

• Assignments (Week of February 21)

• Written Assignment: (due Monday, February 28 at the beginning of class)
Please solve the following problems from Stewart:
Section 7.8: Problems 2, 8, 14, 34, 42, 63
Section 8.1: Problems 2, 12, 15
Assignments (Week of February 14)

• Written Assignment: (due Monday, February 21 at the beginning of class)
Please solve the following problems from Stewart:
Section 7.3: Problems 2, 6, 10
Section 7.4: Problems 2, 12, 18, 22

Assignments (Week of February 7)

• Written Assignment: (due Monday, February 14 at the beginning of class)
Please solve the following problems from Stewart:
Section 7.1: Problems 6, 12, 18, 28, 34
Section 7.2: Problems 2, 6, 16, 26, 29

Assignments (Week of January 31)

• Written Assignment: (due Monday, February 7 at the beginning of class)
Please solve the following problems from Stewart:
Section 6.2: Problems 6, 12, 42, 52
Section 6.3: Problems 8, 12, 24, 39
Section 6.5: Problems 10, 24

Please also solve the following problem:

The amount of medicine being continuously injected into a patient's bloodstream is given by the formula

q(t) = 30-20e^(-0.4t),

where t measures the time in hours and q(t) measures the dose in milligrams being injected at time t.

What is the average number of milligrams of medicine in the patient's bloodstream over the first 6 hours?

• Assignments (Week of January 24)

• Written Assignment: (due Monday, January 31 at the beginning of class)
Please solve the following problems from Stewart:
Section 6.1: Problems 4, 6, 24, 26, 45 (parts a-c only)

• Assignments (Week of January 19)

• Written Assignment: (due Monday, January 24 at the beginning of class)
Please solve the following problems from Stewart:
Section 5.3: Problems 1, 59
Section 5.4: Problems 52, 60, 65
Section 5.5: Problems 14, 19, 30, 42, 53, 59

• Assignments (Week of January 10)

• Written Assignment: (due Wednesday, January 19 at the beginning of class)
Please solve the following problems from Stewart:
Section 5.2: Problems 8, 11, 22, 34, 40, 47
Section 5.3: Problems 12, 46, 48, 75

• Assignments (Week of January 5)
• Written Assignment: (due Thursday, January 13 by 10 AM)
Please solve the following problems from Stewart:
Section 4.9: Problems 5, 10, 33, 46
Section 5.1: Problems 4, 14, 22
Please also solve the following problem:

A funny joke begins to circulate by e-mail. Assume that the "infection" rate at which it spreads -- measured by the number of new people receiving the joke per day -- is given by the equation

J'(t) = e^t - 0.9 + 15t.

If the joke was originally sent to 36 people, find a formula J(t) for the number of people who have received the joke after t days.