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MATH 463: Multivariable Calculus
3.00 Credits
California State University-Los Angeles
Prerequisites: MATH 224, 247, and 361B. Topology of Euclidean spaces. Partial derivatives. Derivatives as linear transformations. Inverse and implicit function theorems. Jacobians, vector calculus, Green's and Stokes' theorems. Variational problems.(Lecture 3 hrs.)
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MATH 463 - Multivariable Calculus
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MATH 470: Introduction to Partial Differential Equations
3.00 Credits
California State University-Los Angeles
Prerequisite: MATH 370A or 364A. First and second order equations, characteristics, Cauchy problems, elliptic, hyperbolic, and parabolic equations. Introduction to boundary and initial value problems and their applications. (Lecture 3 hrs.)
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MATH 470 - Introduction to Partial Differential Equations
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MATH 472: Fourier Analysis
3.00 Credits
California State University-Los Angeles
Prerequisite: MATH 364A or 370A. Theory of Fourier series and Fourier transforms. Physics and engineering applications. Parseval's and Plancherel's identities. Convolution. Multi-dimensional transforms and partial differential equations. Introduction to distributions. Discrete and fast Fourier transforms.(Lecture 3 hrs.)
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MATH 472 - Fourier Analysis
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MATH 479 /579: Mathematical Modeling
3.00 Credits
California State University-Los Angeles
Prerequisite: MATH 247; 364A or 370A; 323; and one additional upper-division mathematics course or consent of instructor. (Undergraduates register in MATH 479; graduates in MATH 579.) Application of mathematics to develop models of phenomena in science, engineering, business, and other disciplines. Evaluation of benefits and limitations of mathematical modeling. (Lecture 3 hrs.)
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MATH 479 /579 - Mathematical Modeling
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MATH 485: Mathematical Optimization
3.00 Credits
California State University-Los Angeles
Prerequisites: MATH 247 and at least one of MATH 323, 347 or 380. Linear and nonlinear programming: simplex methods, duality theory, theory of graphs, Kuhn-Tucker theory, gradient methods and dynamic programming. (Lecture 3 hrs.)
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MATH 485 - Mathematical Optimization
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MATH 491: Honors Seminar in Problem Solving
1.00 Credits
California State University-Los Angeles
Prerequisites: Consent of instructor. Challenging problems form many fields of mathematics, taken largely from national and worldwide collegiate and secondary school competitions. Students required to participate in at least one national competition. May be repeated to a maximum of 3 units. (Lecture-discussion 1 hr.)
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MATH 491 - Honors Seminar in Problem Solving
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MATH 495: Topics in Modern Mathematics
3.00 Credits
California State University-Los Angeles
Prerequisite: Consent of instructor. Topics of current interest from mathematics literature.
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MATH 495 - Topics in Modern Mathematics
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MATH 496: Special Problems
1.00 - 3.00 Credits
California State University-Los Angeles
Prerequisites: Consent of instructor. Student investigations in mathematics, applied mathematics, mathematics education, or statistics. May include reports and reviews from the current literature, as well as original investigations. May be repeated to a maximum of 3 units. Letter grade only (A-F).
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MATH 496 - Special Problems
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MATH 497: Directed Studies
1.00 - 3.00 Credits
California State University-Los Angeles
Prerequisites: Junior or senior standing and consent of instructor. Readings in areas of mutual interest to student and instructor which are not a part of any regular course. A written report or project may be required. May be repeated to a maximum of 3 units.
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MATH 497 - Directed Studies
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MATH 498H: Senior Thesis-Honors
3.00 Credits
California State University-Los Angeles
Prerequisites: Admission to Honors in the Major in Mathematics or to the University Honors Program, and consent of instructor. Planning, preparation, completion, and oral presentation of a written thesis in mathematics, applied mathematics, mathematics education, or statistics. Not available to graduate students. Letter grade only (A-F).
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MATH 498H - Senior Thesis-Honors
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