Courses

A calculus based course covering discrete and continuous distributions, expectations, the normal distribution, the central limit theorem, the binomial distribution, and various topics in statistical theory such as point estimation, hypothesis testing, and linear regression. Prerequisite: MAT 245. (3 units; Fall)

Solutions of Equations of One Variable, Interpolations and Polynomial Approximation, Numerical Integration and Differentiation, Direct Methods for Solving Linear Systems and Approximation Theory. Prerequisite: MAT 255. (3 units; Fall, odd years)

Structure of complex numbers and their functions, analytic, harmonic, and elementary functions, residue theory, and conformal mapping. Prerequisite: MAT 313. (3 units; Spring, even years)

Various appropriate topics of different concentrations are offered each time. May be repeated with different subject matter. Student involvement in selection of topics is strongly encouraged. (1-3 units; As offered)

This course will be a survey of applications of various topics of point-set topology. Applications to areas of science, technology, and industry will be introduced, which may include chemistry, biochemistry, genetics, cryptography, robotics, and GIS. Prerequisite: MAT 313. (3 units; Spring, odd years)

The focus of this class is an independent research project that the student undertakes under the direction of a faculty member who acts as a research advisor. Content varies from year to year and is determined by both instructor's and students' interests. Prerequisites: MAT 313 and permission of Department Chair. May be repeated for credit for a maximum of 8 units. (1-4 units; As offered)

An advanced study of waves and optics, with explicit investigation into mechanical and electromagnetic waves. Topics include (but are not limited to): simple harmonic motion, superposition, dampening, forced oscillations, beats, elasticity, coupling, normal modes, polarization, constructive and destructive interference, single and double slit interference, diffraction gratings, lenses, ray optics, geometric optics, physical optics, beams, and Doppler effect. The course is a very lab intensive class taught in a semi inquiry-based manner. The class and lab are heavily integrated; 3-hours lecture, 3-hours lab. Additional lab fee. Prerequisite: PHY 203 or 224. (4 units; Fall, odd years)

An advanced study of modern physics theories. Topics include (but not limited to): relativity, photons, photoelectric effect, the Bohr-model, Heisenberg’s uncertainty principle, Compton scattering, de Broglie waves, wave particle duality, wave packets, Schroedinger’s equation, nuclear models, decay and reactions, Rutherford scattering. 4-hours lecture. Prerequisite: PHY 203 or 224; PHY 310 recommended. (4 units; Fall, even years)

The first semester of a two-semester course providing a systematic development of the theories of probability and statistics. Students learn and use fundamental concepts of probability models, random variables and their distributions, reduction of data, estimation, testing of hypotheses, univariate normal inference, and statistical decision theory. The first semester is required for BA and BS statistics majors of all concentrations. Prerequisites: MAT 245, and one of the following: EGR 120, 121, or STA 144. (3 units; Fall)

Second semester course in a systematic development of the theories of probability and statistics. Topics include analysis of categorical data, multivariate distributions, nonparametric inference, linear models and analysis of variance. As time permits, the theory underlying Markov chain, Monte Carlo, quasi-likelihood, empirical likelihood, statistical functionals, generalized estimating equations, the jackknife, and the bootstrap are addressed. Prerequisite: STA 310. (3 units; Spring)

An introduction to the fundamental concepts of financial mathematics including basic interest theory. These concepts will be applied in calculating present and accumulated values for various streams of cash flows as a basis for future use in: reserving, valuation, pricing, asset/liability management, investment income, capital budgeting, and valuing contingent cash flow. Prerequisite: MAT 245. (3 units; Fall, even years)

A continuation of the fundamental concepts of financial mathematics including the basics of financial economics and an introduction to financial instruments, including derivatives, and the concept of no-arbitrage as it relates to financial mathematics. Prerequisite: STA 320 (3 Units; Spring, odd years)