Math 2: Calculus with Algebra and Trigonometry


Course Information Syllabus Main Page Exams


Homework

Written homework assignments and reading assignments will be posted on this page.

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:

WeBWorK:
WeBWorK login page

WeBWorK information

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)

  • Read: "Cardiac Output" on pages 552-3. Post a comment about this section on the Blackboard forum for Section 8.4 before class on Wednesday, March 2.

  • Read: "The Law of Natural Growth," pages 591-592, and Section 9.6, "Predator-Prey Systems." Post a comment about this section on the Blackboard forum by 10:30 PM on Thursday, March 3.

  • Read: "Consumer Surplus," pages 550-551, and Problem 6 on page 553 (which talks about producer surplus). Post a comment about this section on the Blackboard forum by 10:30 PM on Sunday, March 6.

  • 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)

  • Read: Section 7.8, Improper Integrals. Post a comment about this section on the Blackboard forum by 10:30 PM on Tuesday, February 22.

  • Read: Section 8.1, Arclength. Post a comment about this section on the Blackboard forum by 10:30 PM on Thursday, February 24.


  • 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)

  • Read: Pages 473-477 in Section 7.4, Integration by Partial Fractions. Post a comment about this section on the Blackboard forum by 10:30 PM on Tuesday, February 15.

  • Read: Section 7.5, Strategy for Integration. Post a comment about this section on the Blackboard forum by 10:30 PM on Thursday, February 17.

  • 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)

  • Read: Section 7.2, Trigonometric Integrals. Post a comment about this section on the Blackboard forum by 10:30 PM on Tuesday, February 8.
  • Read: Section 7.3, Trigonometric Substitution. Post a comment about this section on the Blackboard forum by 10:30 PM on Sunday, February 13.


  • 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)

  • Read: Section 7.1, Integration by Parts. Post a comment about this section on the Blackboard forum by 10:30 PM on Sunday, February 6.


  • 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?

  • Read: Section 6.3, Volumes by Cylindrical Shells. Post a comment about this section on the Blackboard forum by 10:30 PM on Tuesday, February 1.
  • Read: Section 6.5, Average Value. Post a comment about this section on the Blackboard forum by 10:30 PM on Thursday, February 3.


  • 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)

  • Read: Section 6.2, Volumes. Post a comment about this section on the Blackboard forum by 10:30 PM on Tuesday, January 25.


  • 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

  • Read: Section 5.5, The Substitution Rule. Post a comment about this section on the Blackboard forum by 10:30 PM on Thursday, January 20.


  • Read: Section 5.4, Indefinite Integrals and the Net Change Theorem. Post a comment about this section on the Blackboard forum by 10:30 PM on Tuesday, January 18.


  • 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

  • Read: Section 5.3, The Fundamental Theorem of Calculus. Post a comment about this section on the Blackboard forum by 10:30 PM on Thursday, January 13.


  • Read: Section 5.2, The Definite Integral. Post a comment about this section on the Blackboard forum by 10:30 PM on Tuesday, January 11.


  • 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.

  • Read: Section 5.1, Areas and Distances. Post a comment about this section on the Blackboard forum by 10:30 PM on Sunday, January 9.

  • Read: Section 4.9, Antiderivatives. Post a comment about this section on the Blackboard forum by 10 PM on Thursday, January 6.