Applied Mathematics

AMAT 215. Mathematical Theory of Choice and Games (3). Mathematical modeling and analysis of games and rational choice. 3 hrs (class). PR. AMAT 105 or MATH 120 or COI. (2)

AMAT 250. Numerical Simulation (3). Computational techniques for the simulation of a large variety of systems and processes. 3 hrs (class). PR. COI. (2)

AMAT 255. Mathematical Data Science (3). Algebraic, geometric, fuzzy and probabilistic algorithms for discovering patterns in data sets. 3 hrs (class). PR. COI. (2)

AMAT 266. Deterministic Mathematical Decision Models (3). Linear models; inventory models; integer programming and combinatorial models; elementary dynamic programming models; introduction to nonlinear programming. 3 hrs (class). PR. AMAT 160 or COI. (1)

AMAT 267. Probabilistic Mathematical Decision Models (3). Basic concepts and application of probabilistic mathematical decision models such as queuing, inventory, dynamic programming and simulation, inventory, dynamic programming and simulation models. 3 hrs (class). PR. AMAT 160 or COI. (2)

AMAT 277. Mathematical Finance (3). Mathematical concepts and techniques used in the pricing of financial derivatives. 3 hrs (class). PR. COI. (2)

AMAT 280. Biomathematics (3). Mathematical modeling of biological systems. 3 hrs (class). PR. None. (1)

AMAT 310. Dynamic Systems Modeling (3). Deterministic and stochastic modeling of temporal and spatial evolution of dynamic systems. PR. COI. (1,2)

AMAT 350. Advanced Numerical Analysis (3). Theory and applications of numerical analysis. PR. COI. (1,2)

AMAT 360. Convex Optimization (3). Mathematical programming and combinatorial optimization based on convexity. PR. COI. (1)

AMAT 361. Optimal Control (3). Mathematical models and methods in solving optimal control problems. PR. COI. (2)

AMAT 391. Special Topics (1-3).  PR. COI. (1,2)

AMAT 398. Research and Development Internship (3). The student should have passed the 12 units of core and major courses. Minimum of 200 hours. (1,2,M)

AMAT 399. Graduate Seminar (1). PR. COI. (1,2,M)

AMAT 400. PhD Dissertation (12). PR. COI. (1,2,M)


MATH 211. Abstract Algebra (3). Binary operations, algebraic systems such as semigroups, rings integral domains, field, extensions. 3 hrs (class). PR. MATH 111. (1)

MATH 213. Theory of Matrices (3). Operations on matrices; canonical forms, determinants; characteristic equations; eigenvalues. 3 hrs (class). PR. MATH 120. (1,2)

MATH 215. Coding Theory and Cryptography (3). Concepts and mathematical theory of error-correcting codes, encryption and decryption schemes. 3 hrs (class). PR. MATH 111. (1)

MATH 217. Algebraic Combinatorics (3). Discrete structures from an algebraic perspective. 3 hrs (class). PR. MATH 211. (2)

MATH 220. Algebraic Geometry (3). Concepts and theorems of algebraic geometry. 3 hrs (class). PR. MATH 211. (1)

MATH 222. Finite Geometries (3). The finite plane, projective plane, affine plane, hyperbolic plane; Galois geometries; combinatorial applications of finite geometries; finite inversive geometry and block design. 3 hrs (class). PR. MATH 211. (2)

MATH 225. Topology (3). Topological spaces; bases and subbases; continuity; metric spaces; separation axioms; compactness; product spaces; connectedness. 3 hrs (class). PR. MATH 101 or its equivalent. (1, 2)

MATH 230. Real Analysis (3). The real number system; Lebesque measures; Riemann and Lebesque integrals; differentiation and integration. 3 hrs (class). PR. MATH 155 (1, 2)

MATH 231. Functions of a Complex Variable (3). Complex differentiation and integration; analytic continuation; residue theorem; conformal mapping; and some special functions. 3 hrs (class). MATH 155. (2)

MATH 235. Functional Analysis (3). Concepts, principles, methods, and applications of functional analysis; normed and Banach spaces; Hilbert space theory. 3 hrs (class). PR. MATH 213. (2)

MATH 243. Graph Theory and Applications (3). Concepts and theorems involving graphs and networks and their applications. 3 hrs (class). PR. None. (2)

MATH 252. Theory of Partial Differential Equations (3). Concepts and techniques in solving partial differential equations arising from applications. 3 hrs (class). PR. MATH 151 or COI. (1)

MATH 281. Probability and Stochastic Processes (3). Theories and techniques in probability and stochastic processes. 3 hrs (class). PR. MATH 182 or COI. (1)

MATH 291. Special Topics (1-3). May be taken twice provided that total number of units to be credited to the student’s program will not exceed 4 units. May be taken twice. PR. COI.

MATH 299. Graduate Seminar (1). May be taken twice. PR. COI (1,2).

MATH 300. Master’s Thesis (6). (1, 2, S)

Mathematics Education

MAED 201. Mathematics Education (3). Mathematical thoughts and ideas as bases of school mathematics. 3 hrs (class). PR. None. (1)

MAED 202. Mathematical Didactics (3). Pedagogical philosophies, principles and praxis in mathematics education. 3 hrs (class). PR. None. (1)

MAED 203. Mathematics Curriculum (3). Analysis, design, and evaluation of school mathematics curriculum. 3 hrs (class). PR. MAED 202. (2)