Math 243-4, Calculus III

Instructor -- Pavel Guerzhoy

The class meets Tuesdays and Thursdays 1:30 - 2:45pm at 303, Keller Hall.


Office: 501, Keller Hall (5-th floor)
tel: (808)-956-6533
e-mail: pavel(at)math(dot)hawaii(dot)edu (usually, I respond to e-mail messages within a day)
Office hours: Tuesdays and Thursdays 12:00-1:30 and 3:00-4:00pm

Reading
In this class we use the book
  • James Stewart Calculus: Early Vectors, Brooks/Cole Publishing Company.
    The book is really unavoidable, and cannot be replaced with another calculus textbook!
    Course Objective
    To learn basic concepts, techniques and applications of vector algebra, vector-valued functions, differentiation and optimization in several variables.
    Prerequisites
    A grade of C or higher in Math 242 or Math 252A .

    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 calculus problems. More specifically, the following rules are to be taken.



  • Final exam will count for 40% of the final grade. The exam is cumulative (it covers all the material). There will be no make-ups for the final.



  • Mid-term test, which covers the material of Chapter 11 from the book counts for 30% of the final grade.

  • Quizzes will be given almost every week, and the average grade for the quizzes counts for 30% of the final grade.

    The following are not part of the grading scheme:




    Contents


    and Homework assignments


     
    
    
    

    CHAPTER 1 (recapitulation) Introduction to vectors and vector functions

    1.1: 1,7,9,15,17,19,21,23,25,29 1.2: 1,3,5,7,9,13,17,21,25,27,29,31,33,37,43 1.3: 1-13 odd,31

    CHAPTER 11 Three-dimensional analytic geometry and vectors

    11.1: 5,9,10,11,15,17,19,21,22,35 11.2: 1,3,7,9,11,13,15,17,19,21,25,27,29,31,33,35,43,49 11.3: 1,3,7,15,19,28,30 11.4: 1,7,11,13,15,17,19,23,29,33,37,43,51,55,59,63 11.5: 13,15,17-24,41,43 11.6: 1-6,7,9,23,25,31,35,37,39,41,45,51,57,61 11.7: 1,3,7.9,11,13,15,23,25,31,33,37,39,43 11.8: 1-13 odd,17,21

    CHAPTER 12 Partial Derivatives

    12.1: 3,23,27,31,41,51,55,59-64 12.2: 1-25 odd, 29, 33-45 odd 12.3: 3-43 odd, 49, 51-73 odd 12.4: 13,17,21,27,37,40 12.5: 1-11 odd, 13,15,17,19,21,29,31,39,41,43 12.6: 1-21 odd, 35,37,39,43,45,49,51,53,55,59 12.7: 1-15 odd, 25-31 odd, 35,39,41,43,45,51 12.8: 1-13 odd

    Homework, Class and Quizzes Structure