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MATH 546: Abstract Algebra II
3.00 Credits
California State University-San Bernardino
Continuation of MATH 545. Prerequisite: MATH 545. (4 units)
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MATH 546 - Abstract Algebra II
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MATH 553: Analysis I
3.00 Credits
California State University-San Bernardino
Continuous and differentiable functions, infinite series. Uniform convergence, computation with series, functions represented by integrals, theory of integration. Prerequisites: MATH 252 and 355. (4 units)
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MATH 553 - Analysis I
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MATH 554: Analysis II
3.00 Credits
California State University-San Bernardino
Continuation of MATH 553. Prerequisite: MATH 553. (4 units)
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MATH 554 - Analysis II
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MATH 555: Introduction to Point-Set Topology
3.00 Credits
California State University-San Bernardino
Topics to include topological and metric spaces, compactness, product spaces, connectedness, separation properties. Prerequisite: MATH 355. (4 units)
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MATH 555 - Introduction to Point-Set Topology
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MATH 557: Complex Variables
3.00 Credits
California State University-San Bernardino
Analytic and harmonic functions, power series, Cauchy's Theorem and Cauchy's Formula. Prerequisites: MATH 252 and 355. (4 units)
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MATH 557 - Complex Variables
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MATH 565: Mathematical Statistics
3.00 Credits
California State University-San Bernardino
Likelihood ratio, estimators, distributions of estimators, theory of hypothesis testing, linear statistical models. Prerequisite: MATH 465. (4 units)
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MATH 565 - Mathematical Statistics
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MATH 570: Partial Differential Equations
4.00 Credits
California State University-San Bernardino
Classification of partial differential equations; heat equation, Laplace's equation, boundary value-problems; separation of variables. Applications of Fourier and Laplace transforms, numerical methods. Prerequisite: MATH 270 and 355. MATH 241 recommended. (4 units)
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MATH 570 - Partial Differential Equations
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MATH 576: Introduction to Mathematical Models
3.00 Credits
California State University-San Bernardino
Topics from linear and probabilistic models, computer simulation, difference and differential equation models. Prerequisites: CSCI 201, MATH 331 and 465. (4 units)
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MATH 576 - Introduction to Mathematical Models
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MATH 595: Independent Study
4.00 Credits
California State University-San Bernardino
An independent study course for senior mathematics majors. A total of four units may apply toward the major. Prerequisites: MATH 331 and 553, a minimum overall grade point average of 3.0, consent of instructor and departmental approval of a written proposal of a project submitted in advance of the quarter in which the course is to be taken. (1-4 units)
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MATH 595 - Independent Study
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MATH 599: Senior Seminar for Future Mathematics Educators
4.00 Credits
California State University-San Bernardino
Summative assessment of subject matter competence for prospective mathematics teachers. Each student will complete and present a project relating advanced mathematics to the high school curriculum, and complete and submit a portfolio of their undergraduate work in mathematics for assessment. Meets four hours per week during the first week and the last four weeks of the quarter. Graded A,B,C/no credit. Prerequisites: MATH 199, 480 and 499. (2 units)
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MATH 599 - Senior Seminar for Future Mathematics Educators
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