MATH 225: Bridges to Advanced Mathematics
The course explores various important mathematical constructions and ideas, with a particular emphasis on mathematical inquiry and reasoning. Topics include: sets, functions, equivalence relations, modular arithmetic, and basic properties of the integers, real numbers, and complex numbers.
MATH 118: Introduction to Statistics
MATH 121: Discrete Mathematics I
Elementary probability and counting. Mean and variance of discrete and continuous random variables. Central Limit Theorem. Confidence intervals and hypothesis tests concerning parameters of one or two normal populations.
A study of concepts fundamental to the analysis of finite mathematical structures and processes. These include logic and sets, algorithms, induction, the binomial theorem, and combinatorics.
MATH 401: Wavelets
MATH 332: Ordinary Differential Equations
MATH 309: Mathematical Statistics
MATH 102: Calculus II
An introduction to Haar and Daubechies wavelets and their applications to signal processing. Algorithms for feature extraction, data smoothing, and compression are explored.
First and second order differential equations, systems of differential equations, and applications. Techniques employed are analytic, qualitative, and numerical.
Sampling distributions, point and interval estimation, testing hypotheses, regression and correlation, and analysis of variance.
A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.
MATH 383E -- Dynamical Systems
MATH 332-- Ordinary Differential Equations
MATH 311 -- Real Analysis
MATH 309 -- Probability
MATH 121 -- Discrete Mathematics I
MATH 118 -- Introduction to Statistics
MATH 101 -- Calculus I