MATH 283 (CALC IV) --- Winter 2013

Topics Covered:

  Functions of Several Variables:

    Functions of two and three variables.  Limits and continuity, 
    partial derivatives, differentials, chain rules, directional 

    derivatives, gradient, tangent plane and normals, extrema (two variables), 

    applications, the method of Lagrange multipliers. 

  Integration in Several Variables:

    Double integrals in cartesian and polar coordinates, triple integrals in 

    cartesian, cylindrical and spherical coordinates, applications:  Area, 

    volume, surface area, mass, center of mass, moments of inertia, Jacobians. 

  Vector Analysis:

    Vector fields, line integrals, surface integrals, theorems of Green, 

    Stokes, and Gauss, applications.

WRITING UP HOMEWORK SOLUTIONS:  For the written homework, you are expected to show all essential steps in solving a problem. Draw appropriate figures. If in doubt, PUT IT IN! Make your solution flow. Ask yourself the question: "If I were the reader, how would I score this problem?'' Numerical answers alone, single words "yes" or "no", etc., are NEVER, EVER acceptable as complete answers. One of the skills you are expected to learn in this class is that of communicating mathematics clearly and completely in writing. Writing up homework exercises is your opportunity to hone these skills. Your grade depends on it!

Weekly handwritten HW assignments:

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