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MATH 145A: Introduction to Topology
4.00 Credits
University of California-Riverside
Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 144. Elementary topology in metric spaces.
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MATH 145A - Introduction to Topology
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MATH 145B: Introduction to Topology
4.00 Credits
University of California-Riverside
Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 145A. Geometric topology, algebra associated with finite complexes and applications.
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MATH 145B - Introduction to Topology
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MATH 146A: Ordinary and Partial Differential Equations
4.00 Credits
University of California-Riverside
Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 009C or MATH 09HC; MATH 010A; MATH 131 (may be taken concurrently) or MATH 113 (may be taken concurrently) or equivalent; MATH 046 is recommended. Focuses on the theory of linear differential equations and transform methods.
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MATH 146A - Ordinary and Partial Differential Equations
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MATH 146B: Ordinary and Partial Differential Equations
4.00 Credits
University of California-Riverside
Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 131, MATH 146A. Further study of the theory of linear differential equations and problems in valuing ordinary differential equations.
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MATH 146B - Ordinary and Partial Differential Equations
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MATH 146C: Ordinary and Partial Differential Equations
4.00 Credits
University of California-Riverside
Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 010B, MATH 146B. Explores boundary value problems for partial differential equations, orthogonal expansions, and separation of variables.
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MATH 146C - Ordinary and Partial Differential Equations
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MATH 147: Introduction to Fourier Analysis and Its Applications
4.00 Credits
University of California-Riverside
Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 009C or MATH 09HC; MATH 010B; MATH 046 or MATH 146A; MATH 113 or MATH 131 (MATH 113 or MATH 131 may be taken concurrently). Covers Fourier series expansions of periodic functions, properties, and convergence; the Dirichlet kernel; Fourier integrals and the Fourier transform in one and several variables; the Plancherel theorem; and Fourier inversion. Includes applications of Fourier analysis (e.g., to spectral theory, numerical analysis, ordinary and partial differential equations, and wavelet transform).
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MATH 147 - Introduction to Fourier Analysis and Its Applications
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MATH 149A: Probability and Mathematical Statistics
4.00 Credits
University of California-Riverside
Lecture, 3 hours; laboratory, 1 hour. Prerequisite(s): MATH 010A, MATH 010B, completion of or concurrent enrollment in MATH 046. An introduction to the mathematical theory of probability and discrete and continuous distributions. Credit is awarded for only one of the MATH 149A, MATH 149B, and MATH 149C or STAT 160A, STAT 160B, and STAT 160C sequences.
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MATH 149A - Probability and Mathematical Statistics
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MATH 149B: Probability and Mathematical Statistics
4.00 Credits
University of California-Riverside
Lecture, 3 hours; laboratory, 1 hour. Prerequisite(s): MATH 010A, MATH 010B, MATH 046, MATH 149A. Continuation of MATH 149A. Topics include sampling and limit distributions. Credit is awarded for only one of the MATH 149A, MATH 149B, and MATH 149C or STAT 160A, STAT 160B, and STAT 160C sequences.
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MATH 149B - Probability and Mathematical Statistics
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MATH 149C: Probability and Mathematical Statistics
4.00 Credits
University of California-Riverside
Lecture, 3 hours; laboratory, 1 hour. Prerequisite(s): MATH 010A, MATH 010B, MATH 046, MATH 149A, MATH 149B. Continuation of MATH 149B. Topics include tests of hypotheses, estimation, maximum likelihood techniques, regression, and correlation. Credit is awarded for only one of the MATH 149A, MATH 149B, and MATH 149C or STAT 160A, STAT 160B, and STAT 160C sequences.
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MATH 149C - Probability and Mathematical Statistics
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MATH 151A: Advanced Calculus
4.00 Credits
University of California-Riverside
Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 010A, MATH 010B, MATH 046, MATH 145A; or consent of instructor. Involves a rigorous development of mathematical analysis, real and complex numbers, sequences and series, continuity, differentiation, and the Riemann-Stieltjes integral.
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MATH 151A - Advanced Calculus
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