Math 317, Fall 2008

Syllabus

Textbook:   J. Stewart:   Multivariable Calculus.

This is an approximate syllabus. Topics may be omitted or added.
For details on what you are expected to be able to do on exams,
see the exams page.

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Part I.   Functions of one variable.

(11 lectures and 3 homework assignments)

Chapter 14. 
    14.1   Vector functions and space curves
    14.2   Derivatives and integrals
    14.3   Arc length and curvature
    14.4   Velocity and acceleration

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Part II.   Vector fields in 3D and Green's theorem in 2D.

(12 lectures and 4 homework assignments)

Chapter 17. 
    17.1   Vector fields
    17.2   Line integrals
    17.3   Fundamental theorem
    17.4   Green's theorem
    17.5   Curl and divergence

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Part III.   Surfaces, Stoke's theorem, divergence theorem.

(12 lectures and 3 homework assignments)

    17.6   Parametric surfaces
    17.7   Surface integrals
    17.8   Stoke's theorem
    17.9   Divergence theorem

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