MATH 214 - Calculus III

3 units (fi 6)(EITHER, 3-0-0)

Sequences and series, convergence tests, and Taylor series. Curves, tangent vectors, and arc length. Applications of partial differentiation. Polar, cylindrical, and spherical coordinates. Multiple integration. Prerequisite: One of MATH 101, 115, 118, 136, 146 or 156. One of MATH 102, 125 or 127 recommended. Note: This course may not be taken for credit if credit has already been obtained in MATH 209 or 217.

MATH 418 - Linear Analysis

3 units (fi 6)(EITHER, 3-0-0)

Classical Banach spaces. Hahn-Banach, open mapping and closed graphs theorems. Hilbert spaces, orthonormal bases. Elements of spectral theory, spectra of compact operators, spectral theorem for compact self-adjoint operators. Prerequisite: MATH 417. Corequisite: MATH 447 or consent of the Department.

MATH 516 - Linear Analysis

3 units (fi 6)(EITHER, 3-0-0)

Classical Banach spaces. Hahn-Banach, open mapping and closed graphs theorems. Hilbert spaces, orthonormal bases. Elements of spectral theory, spectra of compact operators, spectral theorem for compact self-adjoint operators. Prerequisite: MATH 417. Corequisite: MATH 447.