MATH 222: Linear Algebra
MATH 383I: Geometry of Voting
MATH 401T: Stochastic Processes
Linear algebra is the backbone of much of mathematics. Students in this course learn to identify and explain the basic principles, terminology, and theories used in linear algebra, and apply quantitative and/or qualitative reasoning skills to solve problems posed in linear algebra, primarily through applications to both mathematics and the sciences, and also by writing proofs In mathematics.
Presents a mathematically rigorous formulation of concepts related to social choice. Topics include Yes-No voting, apportionment, the Borda method, and Arrow's impossibility theorem.
MATH 383G: Topics in Game Theory
Uses mathematical models to describe and to analyze strategic interactions. Explores both the mathematical foundations and the applications of Game Theory. Topics include: zero-sum and general-sum games, strategies and equilibria, stable matching, voting, fair division, and the price of anarchy. Interested students who have not taken MATH 121 are encouraged to contact the instructor for more details.
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