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MATH 314: Workshop for Future Mathematics Educators
1.00 Credits
California State University-San Marcos
Provides a discussion forum for students pursuing the Mathematics Single-Subject CSET Waiver Program, while co-enrolled in EDUC 350, Foundations of Teaching as a Profession. Discussions focus on various mathematical subject matters typically presented in secondary-level classrooms which students visit and observe in EDUC 350. Students link their observations from the field experience to their own study of relevant mathematical skills and knowledge. Credit may not be counted towards the mathematics major. Enrollment Requirement: MATH 162 with a grade of C (2.0) or better. Corequisite: EDUC 350.
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MATH 314 - Workshop for Future Mathematics Educators
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MATH 315: Finite Mathematics
3.00 Credits
California State University-San Marcos
Sets, permutations, combinations, probability, linear equations and inequalities, matrices, linear programming, finance. Credit may not be counted toward the mathematics major. May not be taken for credit by students who have received credit for MATH 130. Enrollment restricted to students who have completed the lowerdivision General Education requirement in Mathematics/Quantitative Reasoning (B4).
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MATH 315 - Finite Mathematics
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MATH 330: Introduction to the History of Mathematics
3.00 Credits
California State University-San Marcos
Major currents in the evolution of mathematical thought from early civilization to modern times. Enrollment Requirement: MATH 160 with a grade of C (2.0) or better.
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MATH 330 - Introduction to the History of Mathematics
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MATH 340: Stochastic Modeling in Business and Economics
3.00 Credits
California State University-San Marcos
Introduction to stochastic modeling with emphasis on application in business and economics. Discrete probability distributions including uniform, Bernoulli, binomial, hypergeometric, multinomial, and geometric. Random variables, expected value, and standard deviation. Joint distributions, conditional distributions, independence, and conditional expected value. Laws of large numbers. Discrete time Markov chains and martingales. Applications to include queuing models, cash and inventory management models, and stock option pricing. May not be taken for credit by students who have received credit for MATH 440, 441 or 571. Enrollment Requirement: MATH 132 or 160, or 264 with a grade of C (2.0) or better. Prerequisite: MATH 315 or 374 with a grade of C (2.0) or better.
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MATH 340 - Stochastic Modeling in Business and Economics
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MATH 346: Mathematical Methods for Physics
3.00 Credits
California State University-San Marcos
Survey of mathematical methods applicable to physics. Includes series, complex analysis, ordinary and partial differential equations, and special functions and transforms. Recommended Preparation: MATH 260. Enrollment Requirement: MATH 162 with a grade of C (2.0) or better.
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MATH 346 - Mathematical Methods for Physics
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MATH 350: Foundations for Theoretical Mathematics
3.00 Credits
California State University-San Marcos
Bridge course between computation-driven mathematics and theoretical mathematics. Designed to familiarize the student with the language and process of rigorous mathematical thought, speech, and writings through the introduction of typical and important examples from algebra, analysis, combinatorics, and geometry. Covers elementary logic, methods of proof, mathematical induction, sets, relations, including order relations and equivalent relations, functions and inverse functions, and binary operations. Mathematics majors are encouraged to take this course as early as possible. Enrollment Requirement: MATH 160 with a minimum grade of C (2.0).
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MATH 350 - Foundations for Theoretical Mathematics
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MATH 362: Differential Equations
3.00 Credits
California State University-San Marcos
Analysis and application of ordinary differential equations: linear and nonlinear equations, existence and uniqueness theorems, analytic methods, qualitative analysis of solutions, numerical methods. Combines theoretical ideas along with hands-on experience using appropriate computer software. Enrollment Requirement: MATH 162 with a grade of C (2.0) or better.
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MATH 362 - Differential Equations
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MATH 370: Discrete Mathematics
3.00 Credits
California State University-San Marcos
The terminology, concepts, and techniques of some areas of discrete mathematics applicable in computer science. Logic, proof techniques, recursion, set theory and counting, relations and functions, groups and codes, graphs. Enrollment Requirement: MATH 160 with a grade of C (2.0) or better.
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MATH 370 - Discrete Mathematics
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MATH 374: Linear Algebra
3.00 Credits
California State University-San Marcos
Systems of linear equations, vector spaces, independence, bases, dimension, orthogonality, least squares, determinants, eigenvalues and eigenvectors, positive definiteness, computation, linear programming. Combines theoretical ideas with hands-on experience using appropriate computer software packages. Enrollment Requirement: MATH 160 with a grade of C (2.0) or better.
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MATH 374 - Linear Algebra
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MATH 378: Number Systems
3.00 Credits
California State University-San Marcos
Numbers: natural, rational, real, complex. Algebraic laws: commutative, associative, distributive. Brief introduction to groups, rings and fields. Divisibility and unique factorization for integers and polynomials. Integers modulo n as finite rings and fields. The rational numbers as a non-complete countable ordered field. The real numbers as a complete uncountable ordered field. Sequences and limits including Cauchy sequences, lim inf and lim sup. Complex numbers including De Moivre's theorem and related trigonometric identities. Factoring polynomials over the various number systems. The Fundamental Theorem of Algebra. Prerequisite: MATH 350 or MATH 370 with a grade of C (2.0) or better.
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MATH 378 - Number Systems
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