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Course Criteria
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3.00 Credits
(3 Units) Effective communication of mathematical ideas. Techniques for developing mathematical understanding and skills. Analysis and modeling of various forms of delivery of instruction. Prerequisites: MATH 2410 and MATH 2530, each with a grade of C- or better, senior standing, or consent of instructor.
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1.00 Credits
(1 Unit) Construction of mathematics to be taught. Communication with mathematics students. Being a classroom facilitator and tutor at a local school for at least twenty hours. Prerequisites: MATH 2410 and MATH 2530, each with a grade of C- or better, senior standing, or consent of instructor.
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3.00 Credits
(3 Units) The real number system, sequences, topology of the real line, limits, continuity, and differentiation. Prerequisites: MATH 2410, 2530, 3400, and six additional upper-division units in mathematics (other than MATH 3030, 3040, 3350, 4020, and 4022) with a grade of C- or better, or consent of instructor.
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3.00 Credits
(3 Units) Riemann integral, infinite series, uniform convergence, and metric spaces. Prerequisites: MATH 4130 with a grade of C- or better, or consent of instructor.
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3.00 Credits
(3 Units) Topics selected from floating point arithmetic, errors, nonlinear equations, interpolation, numerical integration, linear systems, and numerical solution of differential equations. Prerequisites: MATH 2410, 2460, 2530, and CS 1500 with grades of C- or better, or consent of instructor.
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3.00 Credits
(3 Units) Linear programming theory and applications. Network analysis. Topics selected from game theory, dynamic programming, integer programming, queueing theory, inventory theory, project planning, and scheduling techniques. Prerequisites: MATH 2530 with a grade of C- or better, or consent of instructor.
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3.00 Credits
(3 Units) An introduction to the development of the algebraic structures that arise in mathematics and their applications. Topics will be selected from groups, rings, integral domains, fields, and selected applications. Prerequisites: MATH 2410, 2530, 3400, and six additional upper-division units in mathematics and/or computer science with grades of C- or better (other than MATH 3030, 3040, 3350, 4020, 4022, or CS 4000), or consent of instructor.
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3.00 Credits
(3 Units) Complex numbers, analytic functions, Cauchy-Riemann equations, Cauchy's theorem, Laurent series, calculus of residues, and selected applications. Prerequisites: MATH 2410 with a grade of C- or better.
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3.00 Credits
(3 Units) Concepts of sample space, probability, random variable, expectation, moment, elementary combinatorial analysis; moment generating function, distribution, and density function. Emphasis on theory and applications. Prerequisites: MATH 1620 and 2410 with grades of C- or better, or consent of instructor.
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3.00 Credits
(3 Units) Review of relevant probability distributions. Estimation, hypothesis testing, regression, correlation, and analysis of enumerative data. Emphasis on theory and applications. Prerequisites: MATH 2530 and 4630 with grades of C- or better, or consent of instructor.
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