## MATHEMATICS DIVISION

*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)

*Mathematics*

**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)