This course is a rigorous, integrated treatment of linear algebra and multivariable differential calculus, emphasizing topics that are relevant to fields such as physics and economics. Topics include fields, vector spaces and linear transformations, scalar and vector products, elementary topology of Euclidean space, limits, continuity, and differentiation in n dimensions, eigenvectors and eigenvalues, inverse and implicit functions, manifolds, and Lagrange multipliers. Prerequisite: MATH E-16, or the equivalent, plus an interest in proving mathematical results and using them.
Fall term (13313)
Sarah Koch, PhD, Benjamin Peirce Lecturer on Mathematics, Harvard University.