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MATH 555: General Topology
3.00 Credits
California State University-San Marcos
Topological spaces, open and closed sets, metric spaces, continuity, compactness, connectedness. Other subjects may include separation axioms, fundamental groups, classification of surfaces, completion of metric spaces. Prerequisite for undergraduates and enrollment requirement for graduate students: MATH 430.
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MATH 555 - General Topology
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MATH 561: Computational Linear Algebra
3.00 Credits
California State University-San Marcos
Provides a thorough background in the formulation and analysis of algorithms for numerical linear algebra. Includes fundamentals of scientific computation, subspaces, rank-revealing matrix factorizations, numerical solutions of linear systems, linear least squares, regularization, perturbation theory, and iterative methods. Combines theoretical ideas with laboratory experience. Knowledge of computer language is required. Prerequisite for undergraduates and enrollment requirement for graduate students: MATH 374.
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MATH 561 - Computational Linear Algebra
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MATH 564: Nonlinear Programming
3.00 Credits
California State University-San Marcos
Theory and techniques for solving constrained and unconstrained nonlinear programming problems. Techniques include Quasi-Newton Secant Methods, Broyden's Method, conjugate gradient methods, and line search methods. Theoretical aspects include convexity, Lagrangian Multipliers, optimality conditions, convergence, primal problem, duality, saddle points, and line searches. Prerequisite for undergraduates and enrollment requirement for graduate students: MATH 374 or 480 or CS 480.
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MATH 564 - Nonlinear Programming
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MATH 570: Introduction to Stochastic Processes
3.00 Credits
California State University-San Marcos
Elements of stochastic processes, discretetime and continuous-time Markov chains, random walks, branching processes, birth and death processes, and Poisson point processes. Applications to queues and stochastic networks, resource management, biology and physics. May include optimal stopping, hidden Markov models, renewal processes, martingales, Brownian motion and Gaussian processes. Prerequisite for undergraduates and enrollment requirement for graduate students: MATH 430 and 440.
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MATH 570 - Introduction to Stochastic Processes
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MATH 571: Probability and Random Processes
3.00 Credits
California State University-San Marcos
Framework for probability theory: probability spaces as measure spaces, random variables, expectation and conditional probability. Major results such as limit theorems for sums of random variables, zero-one laws, and ergodic theorems. Applications may include branching processes, Markov Chains, Markov Random Fields, martingales, percolation, Poisson Processes, queuing theory, random walks, and renewal processes. Combines theoretical ideas with hands-on laboratory experience using appropriate computer software packages. Prerequisite for undergraduates and enrollment requirement for graduate students: MATH 430 or 440.
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MATH 571 - Probability and Random Processes
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MATH 620: Seminar in Advanced Mathematics
3.00 Credits
California State University-San Marcos
Advanced mathematics chosen from areas represented in the program faculty and intended to build on 500-level material. Covers the following: algebra and number theory, analysis, combinatorics and graph theory, computational mathematics, geometry, and probability. May be repeated for a maximum of twelve (12) units of credit for MATH 620 and 621. Enrollment restricted to students who have obtained consent of instructor.
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MATH 620 - Seminar in Advanced Mathematics
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MATH 621: Seminar in Advanced Mathematics with Lab
3.00 Credits
California State University-San Marcos
Advanced mathematics chosen from areas represented in the program faculty and intended to build on 500-level material. Covers the following: algebra and number theory, analysis, combinatorics and graph theory, computational mathematics, geometry, and probability. May be repeated for a maximum of twelve (12) units of credit for MATH 620 and 621. This course meets for four hours per week. Enrollment restricted to students who have obtained consent of instructor.
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MATH 621 - Seminar in Advanced Mathematics with Lab
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MATH 697: Workshop in the Teaching of Mathematics
1.00 Credits
California State University-San Marcos
Discussion of syllabus construction, lecture preparation, assignment and grading of homework, construction and grading of exams, and resolution of classroom problems. May be repeated, but credit will not be counted toward the Master of Science degree. Graded Credit/No Credit. Enrollment restricted to students with Graduate standing in mathematics.
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MATH 697 - Workshop in the Teaching of Mathematics
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MATH 699: Thesis
3.00 Credits
California State University-San Marcos
Preparation of a thesis for the master's degree. Graded Credit/No Credit. Students may enroll in only one section per semester. Enrollment requires approval of the graduate coordinator.
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MATH 699 - Thesis
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MGMT 302: Foundations of Management
2.00 Credits
California State University-San Marcos
Important concepts and applications in management including motivation, leadership, group dynamics, organization design, decision-making, communication, and organization change. MGMT 302 may not be taken for credit by students who have received credit for SSM 304 or MGMT 304. Enrollment restricted to students who have completed all lower-division pre-business core (major status in Business Administration - i.e. attained business status).
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MGMT 302 - Foundations of Management
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