## Fall Term 2024 (1890)

### 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.

LECTURE A1 (47960)

2024-09-03 - 2024-12-09

MWF 10:00 - 10:50

### 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.

LECTURE A1 (47940)

2024-09-03 - 2024-12-09

MWF 10:00 - 10:50

## Winter Term 2025 (1900)

### 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.

LECTURE Q1 (72987)

2025-01-06 - 2025-04-09

TR 09:30 - 10:50

### MATH 336 - Honors Ordinary Differential Equations

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

First order differential equations. Linear systems of differential equations and linear differential equations of higher order. Stability and qualitative theory of 2-dimensional linear and non-linear systems. Laplace transform methods. Existences and uniqueness theorems. Prerequisites: MATH 225 or 227, and either MATH 209, 217, 314 or both 214 and 216. Note: Credit can be obtained in at most one of MATH 201, MATH 334, MATH 336, and MA PH 251.

LECTURE Q1 (70118)

2025-01-06 - 2025-04-09

TR 11:00 - 12:20