Courses for Summer 2008

050 V. Multivariable Differential Calculus

Differential calculus for functions of two or more variables. Topics: vectors and vector-valued functions in 2-space and 3-space, tangent and normal vectors, curvature, functions of two or more variables, partial derivatives and differentiability, directional derivatives and gradients, maxima and minima, optimization using Lagrange multipliers. Prerequisites: Two quarters of single variable calculus, or consent of the instructor.

052 V. Multivariable Integral Calculus

Integral calculus for functions of two or more variables. Topics: double and triple integrals, change of variables and the Jacobian, vector fields, line integrals, independence of path and the fundamental theorem of line integrals, Green's theorem, divergence theorem, Stokes's theorem. Prerequisites: One quarter of multivariable differential calculus (comparable to 050V or 51), or consent of the instructor.

113 V. Linear Algebra

An introductory course in linear algebra. Topics: matrices, linear equations, vector spaces, linear dependence, bases and coordinates, linear transformations, similarity, eigenvectors and eigenvalues, diagonalization. Prerequisites: Two quarters of single variable calculus, or consent of the instructor.

For more information about these courses, contact Marc Sanders.