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MATH 411: Introduction to Mathematical Logic
3.00 Credits
California State University-San Bernardino
Propositional and quantificational logic, completeness and consistency results, formal systems, Peano arithmetic, recursive functions, Godel's incompleteness theorem. Prerequisite: MATH 345. (4 units)
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MATH 411 - Introduction to Mathematical Logic
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MATH 455: Fourier Analysis
4.00 Credits
California State University-San Bernardino
Fourier series and the Fourier transform. Convergence properties and orthogonality. Applications to differential equations. Prerequisites: MATH 270 and 355. (4 units)
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MATH 455 - Fourier Analysis
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MATH 465: Probability Theory
3.00 Credits
California State University-San Bernardino
Probability spaces, independence, conditional probability, densities, mass and distribution functions, moments, joint and marginal distributions, moment generating functions, Chebychev's inequality, law of large numbers and other topics. Prerequisites: MATH 252 and 372. (4 units)
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MATH 465 - Probability Theory
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MATH 470: Ordinary Differential Equations
3.00 Credits
California State University-San Bernardino
Topics from among: first order equations, linear equations, systems of equations, iterative methods, series solutions, Laplace transformations, applications. Prerequisites: MATH 270 and 331. (4 units)
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MATH 470 - Ordinary Differential Equations
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MATH 474: Numerical Methods
3.00 Credits
California State University-San Bernardino
Introduction to numerical methods for finding solutions of non-linear equations, systems of linear equations and ordinary differential equations. Discussion of errors and numerical instabilities; numerical differentiation; numerical integration. Prerequisites: CSCI 201 and MATH 331. (4 units)
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MATH 474 - Numerical Methods
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MATH 480: Topics in History of Mathematics
3.00 Credits
California State University-San Bernardino
Exploration of the historical and topical development of interconnected areas of mathematics, such as algebra, geometry and analysis. Discussion of the influence of culture and society on the development of mathematical ideas and discovery will be included. Prerequisites: MATH 252, 329, 345 and 355. (4 units)
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MATH 480 - Topics in History of Mathematics
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MATH 499: Mathematics in the Secondary Classroom
3.00 Credits
California State University-San Bernardino
Instruction in the methods and materials for teaching mathematics in the secondary classroom, with emphasis on algebra and geometry. Each student will complete and present a project relating advanced mathematics to the high school curriculum that implements ideas and strategies presented in this course. May not be counted toward fulfilling requirements of the B.A. (Non-Teaching Track), B.S., M.A. or M.A. in Teaching, Mathematics. Prerequisites: MATH 329, 331 and 399. (4 units)
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MATH 499 - Mathematics in the Secondary Classroom
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MATH 510: Topics in Mathematics
3.00 Credits
California State University-San Bernardino
Study of selected areas of advanced mathematics. May be repeated for credit with consent of instructor as topics change. Prerequisite: senior or graduate standing. (4 units)
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MATH 510 - Topics in Mathematics
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MATH 529: Advanced Geometry
3.00 Credits
California State University-San Bernardino
Topics in affine and projective geometry with applications to Euclidean 2 and 3 space and to modern algebra. Prerequisites: MATH 329, 331 and 345. (4 units)
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MATH 529 - Advanced Geometry
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MATH 545: Abstract Algebra I
3.00 Credits
California State University-San Bernardino
An introduction to algebraic structures, including groups, rings and fields. Prerequisites: MATH 331, 345 and 355. (4 units)
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MATH 545 - Abstract Algebra I
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