Calculus with Applications II -- 0086 (009)

Instructor -- Pavel Guerzhoy

The class meets Tuesdays and Thursdays, 5:40 - 7:30pm at 205, Barton Hall.


Office: 514, Wachman Hall (5-th floor)
tel: (215)-204-8607
e-mail: pasha @temple.edu (usually, I respond to e-mail messages within a day)
Office hours: Tuesdays and Thursdays 3-5pm

Reading
In this class we use the book
  • James Stewart, Calculus, Early Transcendentals, Fifth Edition, Brooks/Cole Publishing Company, 2003. Note that two versions of the Stewart's text are available in the bookstore, a Single Variable version that covers the first two semesters of calculus (Math C085 and 0086) and a full version that covers all three semesters (Math C085, 0086, and 0127). Those students who plan to take three semesters of calculus should purchase the full version of Stewart (otherwise, they will need to purchase a Multivariable version of the book in the future).
    The book is really unavoidable, and cannot be replaced with another calculus textbook!
    Course Objective
    To develop sufficient intuitive understanding and technical master of integral calculus.
    Prerequisites
    for Math 0086 are a grade of C or higher in Math C085, Calculus I, or transfer credit for a course equivalent to Math C085.
    Grading Policy
    The course contains a combination of concepts, ideas and techniques. To understand the material means to be able to apply it in solving problems. At the end of the day, your grade will reflect your ability to solve specific integral calculus problems.

    Final Grade comes out from

  • First Departmental common mid-term test on Tuesday, February 21 at BB205 (usual class meeting time and place).
  • Second Departmental common mid-term test on Tuesday, April 18 at BB205 (usual class meeting time and place). Here is a

    LIST OF INTEGRALS

    pertaining to Chapter 7, which I highly recommend for working it out before the midterm. It is assumed that similar integrals appear on the test (along with other problems, of course).
    Here is a

    FORMULA SHEET,

    which is assumed to be identical to the one you will receive on the test. These formulas are not recommended to memorize since you anyway will have them. At the same time, your ability to make use of these (and others...) formulas correctly is crucial for passing the test.
    Here is a

    last semester second midterm test,


  • Quizzes will be given almost weekly.
  • Departmental common final exam on

    Thursday, May 4 from 5:40 to 7:30 PM at BB205 (usual class meeting time and place).


    The last semester final exam is not allowed for distribution. I will, however, use that exam for the review until more up to date material is available.
    Here is a some relevant information. Note, however, that the correct time and place of the exam is given on this page above, and not in this pdf-file.


    The following are not part of the grading scheme:
    Disability Disclosure Statement
    Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at 215-204-1280 in 100 Ritter Annex to coordinate reasonable accommodations for students with documented disabilities.



    Contents


    and Homework assignments


     
    
    

    CHAPTER 5: INTEGRALS

    5.2: 1, 3, 5, 9, 11, 17, 19, 33, 34, 35, 37, 39, 43, 48, 49, 51, 53, 54, 55, 58 5.3: 3 (also find g'(x) for x = 1; 2; 3; 4; 5, and 6), 4a-e (also find g'(x) for x = -2;-1; 0; 1; and 2), 7, 9, 11, 13, 14, 54, 60 5.4: 5, 7, 9, 11, 12, 19, 21, 23, 25, 26, 27, 29, 30, 33, 35, 37, 39, 53, 54, 55 5.5: 1-25 odd, 26, 27, 31, 33, 41, 43, 49-53 odd, 59-67 odd

    CHAPTER 6: APPLICATIONS OF INTEGRATION

    6.1: 1, 3, 5, 6, 7, 9, 11, 13, 15, 17-21, 24, 45 6.2: 1, 2, 3-17 odd, 53-56, 58 6.4: 1, 3, 5, 7, 9, 13, 14, 15, 16 6.5: 1, 3, 5, 7, 9, 14, 17, 18

    CHAPTER 7: TECHNIQUES OF INTEGRATION

    7.1: 1, 2, 3-21 odd, 25, 27, 31, 33, 35, 39, 41, 45, 46, 49, 50, 61 7.2: 1-17 odd, 21-35 odd, 39, 41, 43, 67 7.3: 1-3, 5, 7, 9, 11, 12, 13, 21, 22, 27, 28, 33 7.4: 1, 3, 5, 6, 7-9, 11, 15, 16, 17-23 odd, 24, 25-33 odd, 39, 41 7.8: 1, 5, 7, 9, 10, 11, 13, 15, 17, 21-29 odd, 31, 33, 49, 51, 53, 54

    CHAPTER 11: INFINITE SEQUENCES AND SERIES

    11.1: 3-5, 7, 15-21 odd, 24-26, 29, 31, 33, 34, 39, 40, 41, 44 (in 41, 44 find limits only; do not graph) 11.2: 5-31 odd, 35, 37, 41, 43, 45 11.3: 3, 7, 13, 15, 17, 19, 21 11.4: 3-31 odd 11.5: 5, 7, 9, 11, 13, 23, 29 11.6: 2, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 31, 33a 11.8: 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 30 11.9: 3, 4, 5-17 odd, 25, 27, 29 11.10: 3, 5, 7, 8, 11, 13-16, 18, 23-35 odd, 39, 42, 43, 45, 51, 53, 54 11.12: 13, 14, 16, 18, 20

    Homework, Class and Quizzes Structure