Calculus with Applications I -- 0085 (009)

Instructor -- Pavel Guerzhoy

The class meets Tuesdays and Thursdays, 12:10 - 2:00pm at 405, 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 differential calculus.
    Prerequisites
    A score of 16-16-3 or higher on the Math Placement Test, or a grade of C or higher in Math C074, Precalculus, or transfer credit for a course equivalent to Math C074.
    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 differential calculus problems.

    Final Grade comes out from

  • Departmental common review COW assignment due January 27
  • Departmental common review quiz on Thursday, January 26 at BB405 (usual class meeting time and place).
  • First Departmental common mid-term test on Tuesday, February 21 at BB405 (usual class meeting time and place).
  • Second Departmental common mid-term test on Tuesday, April 18 at BB405 (usual class meeting time and place).
  • Quizzes will be given almost weekly.
  • Departmental common final exam on Thursday, May 4 from 2:00 to 4:00 PM (the place, which is NOT the usual class meeting room will be announced)
    !!! NO cheat sheets allowed on quizzes/tests/exams !!!
    !!! NO calculators allowed on tests/exams !!!
    The usage of calculators for homeworks/quizzes is, however, strongly encouraged.

    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 2 Limits and Derivatives

    2.2: 4,5,6,7,8,9,12,14,17,24,25,27,28,31ab 2.3: 1,2,5,9,10,11,13,14,17,20,22,23,25,26,35,37,39,41,44,45,46,48 2.5: 3,5,6,9,11,12,15,16,17,19,20(no need for graphs in problems 15-20), 21, 24, 25, 27, 31,32, 33, 35, 37, 38, 41, 45, 48, 49, 51a, 52a 2.6: 3, 4, 5, 6, 11, 13, 16, 17, 19, 20, 26, 28, 29, 31, 33, 34, 37, 38, 39, 41, (no graphing necessary in 37-41) 49 2.7: 5ab, 8, 15, 20 2.8: 2, 3, 4, 7, 13, 19, 21, 25, 27, 28 2.9: 21, 22, 24, 25, 26, 30, 37, 38

    Chapter 3 Differentiation Rules

    3.1: 4, 5, 7, 11, 12, 13, 16, 17, 18, 19, 22, 23, 25, 29, 39, 42 (no graphing), 45, 47, 49, 55, 56, 60 3.2: 1, 3, 5, 7, 10, 12, 13, 14, 15, 17, 20, 24, 25, 31, 32, 33, 35, 37 3.3: 1a-f, 3a-f, 5a-f, 7, 9 3.4: 1-5, 7, 9, 12, 13, 15, 16, 21, 22, 30, 35, 36, 37, 38 3.5: 1, 2, 3, 5, 8, 9, 11, 12, 15, 16, 18, 22, 23, 25, 29, 30, 33, 34, 39, 43, 46, 55, 56, 64, 65 3.6: 5, 7, 9, 11, 12, 15, 18, 21, 25, 26, 29, 41, 43, 44, 45, 48, 49 3.7: 6, 7, 9, 13, 17, 19, 20, 23, 25, 44, 47, 49ac, 50ac 3.8: 2, 3, 7, 8, 9, 11, 16, 17, 18, 20, 21, 24, 27, 29, 32, 36-45 3.10: 1, 3, 5, 6, 7, 8, 9, 11, 18, 23, 29 3.11: 5, 6, 7, 10 (no graphing; simply compare approximate values with the calculator values), 27,28, 31-34, 36, 39

    Chapter 4: Applications of Differentiation

    4.1: 3, 5, 15, 17, 24, 25, 30, 31, 33, 36, 37, 39, 47, 48, 50, 51, 53, 57-60 4.2: 2, 3, 5, 7, 11, 12, 13, 15, 17, 18, 23, 25 4.4: 5, 6, 7, 9, 10, 11, 12, 15, 16, 17, 21, 23, 25, 26, 27, 28, 29, 33, 34, 37, 45, 46, 53, 57, 60, 61 4.3: 1, 2, 5, 6 (in 5 and 6, also graph f(x) assuming that f(0) = 0), 14, 15, 17, 20 (in Problems 14-20, sketch the graph of f(x)), 21, 25, 26-29, 34, 39, 42, 44-46, 50 4.7: 2, 3, 5-11, 12, 15, 16, 19, 22, 24, 29, 30 4:10: 1-3, 5, 8, 9, 10, 13, 15, 23, 26, 27, 31, 32, 59, 60, 62, 64

    Homework, Class and Quizzes Structure