- MTH 429H - Honors Real Analysis
Description: Continuation of MTH 327H. Convergence of sequences and series of functions, differentiation and integration in higher dimensional settings. Inverse and implicit function theorems.
- MTH 419H - Honors Algebra II
Description: Algebraic field extensions, Galois theory. Classification of finite fields. Fundamental Theorem of Algebra.
- MTH 496 - Capstone in Mathematics: Fourier Analysis with Applications
Description: Fourier series and their convergence. Orthonormal systems and completeness. Discrete and Fast Fourier Transforms. The Fourier Transform, Abstract Inner Product Spaces, and the Elementary Theory of Distributions. Applications to Partial Differential Equations, Physics, Signal Processing, and Sturm-Liouville Theory.
- MTH 347H - Honors Ordinary Differential Equations
Description: Separable and exact equations, linear equations and variation of parameters, higher order linear equations, Laplace Transforms, first-order linear systems, classification of singularities, nonlinear systems, partial differential equations and Fourier Series, existence and uniqueness theorems. Emphasis on theory.
- STT 441 - Probability and Statistics I: Probability
Description: Probability, conditional probability and independence. Random variables. Discrete, continuous, univariate, and multivariate distributions. Expectation and its properties, moment generating functions. Law of large numbers, central limit theorem.