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MATH 370A: Applied Mathematics I
3.00 Credits
California State University-Los Angeles
Prerequisite: MATH 222 or 224. First order ordinary differential equations, linear second order ordinary differential equations, numerical solution of initial value problems, Laplace transforms, matrix algebra, eigenvalues, eigenvectors, applications. Not open for credit to mathematics majors. (Lecture 3 hrs.)
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MATH 370A - Applied Mathematics I
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MATH 370B: Applied Mathematics II
3.00 Credits
California State University-Los Angeles
Prerequisite: MATH 370A. Arithmetic of complex numbers, functions of a complex variable, contour integration, residues, conformal mapping; Fourier series, Fourier transforms; separation of variables for partial differential equations. Applications. Not open for credit to mathematics majors. (Lecture 3 hrs.)
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MATH 370B - Applied Mathematics II
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MATH 380: Probability and Statistics
3.00 Credits
California State University-Los Angeles
Prerequisites: MATH 222 or 224. Frequency interpretation of probability. Axioms of probability theory. Discrete probability and combinatorics. Random variables. Distribution and density functions. Moment generating functions and moments. Sampling theory and limit theorems. Letter grade only (A-F). (Lecture 3 hrs.) Same course as STAT 380
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MATH 380 - Probability and Statistics
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MATH 409: Strategies for Graduate Admission
1.00 Credits
California State University-Los Angeles
Prerequisite: Senior or graduate standing. The nature and expectations of doctoral programs in Mathematics and related fields. Intensive preparation for GRE mathematics subject exams. Credit/No Credit grading only. Does not satisfy Mathematics major requirements. (Lecture-discussion 1 hr.)
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MATH 409 - Strategies for Graduate Admission
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MATH 410: History of Modern Mathematics
3.00 Credits
California State University-Los Angeles
Prerequisites: MATH 247, 310 and at least three of the following: MATH 233, 341, 355, 361A, 380. History of mathematics from seventeenth century onward. Development of calculus, analysis, and geometry during this time period. Other topics discussed may include history of probability and statistics, algebra and number theory, logic, and foundations. (Lecture 3 hrs.)
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MATH 410 - History of Modern Mathematics
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MATH 423: Intermediate Numerical Analysis
3.00 Credits
California State University-Los Angeles
Prerequisites: MATH 247 and 323. Numerical solutions of systems of equations, calculation of eigenvalues and eigenvectors, approximation of functions, solution of partial differential equations. Computer implementation of these methods. (Lecture 3 hrs.)
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MATH 423 - Intermediate Numerical Analysis
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MATH 444: Introduction to Abstract Algebra
3.00 Credits
California State University-Los Angeles
Prerequisites: MATH 233 and 247 and at least one of MATH 341 or 347. Groups, subgroups, cyclic groups, symmetric groups, Lagrange's theorem, quotient groups. Homomorphisms and isomorphisms of groups. Rings, integral domains, ideals, quotient rings, homomorphisms of rings. Fields. Writing proofs. Not open for credit to students with credit in MATH 444A. (Lecture 3 hrs.)
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MATH 444 - Introduction to Abstract Algebra
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MATH 451: Differential Geometry
3.00 Credits
California State University-Los Angeles
Prerequisite: MATH 364A or 370A. Structure of curves and surfaces in space, including Frenet formulas of space curves; frame fields and connection forms; geometry of surfaces in Euclidean three space; Geodesics and connections with general theory of relativity. (Lecture 3 hrs.)
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MATH 451 - Differential Geometry
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MATH 456: Dynamics and Geometry of Chaos
3.00 Credits
California State University-Los Angeles
Prerequisites: Math 247, 361A, or consent of instructor. An introduction to discrete dynamical systems in one and two dimensions. Theory of iteration: attracting and repelling periodic points, symbolic dynamics, chaos, and bifurcation. May include a computer lab component. (Lecture 3 hrs)
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MATH 456 - Dynamics and Geometry of Chaos
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MATH 461: Introduction to Complex Analysis
3.00 Credits
California State University-Los Angeles
Prerequisite: MATH 361A. Theory and applications of complex variables. Analytic functions, integrals, power series and applications. Not open for credit to students with credit in MATH 562A. (Lecture 3 hrs.)
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MATH 461 - Introduction to Complex Analysis
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