Course Description

Calculus 250a/b Advanced Calculus I.

Differential calculus of functions of several variables: level curves and surfaces; limits; continuity; partial derivatives; total differentials; Jacobian matrix; chain rule; implicit functions; inverse functions; curvilinear coordinates; derivatives; the Laplacian; Taylor Series; extrema; Lagrange multipliers; vector and scalar fields; divergence and curl.

Antirequisites: Calculus 280a/b, Applied Mathematics 290a, the former Applied Mathematics 200, 281a, Mathematics 204a
Pre- or corequisites: Linear Algebra 040a/b or the former Mathematics 202a.
Prerequisites: A minimum mark of 60% in Calculus 051a/b, or Applied Mathematics 026 or the former Applied Mathematics 020 or 024a/b, or the former Mathematics 027.
3 lecture hours, half course.


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