Intermediate Analysis II

3 credits · Undergraduate

Topics include: The full derivative for functions between Euclidean spaces, directional derivatives, Jacobian matrix, differentiability, C¹ functions, multilinear maps, higher derivatives, Taylor's theorem, extrema, inverse and implicit function theorems, extrema subject to constraints, Lagrange multipliers. Further topics may include: normed vector spaces and basic functional analysis, basic theory of manifolds in R&supn Fourier series. PREREQUISITES: MATH 3501.03 EXCLUSIONS: MATH 3500X/Y.06