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MATH 322: Linear Algebra Spring
3.00 Credits
Sonoma State University
Topics include applications using linear models, vector spaces, linear transformations, matrices, linear equations, determinants, and the Cayley-Hamilton theorem. Prerequisites: MATH 220 and either MATH 222 or MATH 241 or consent of instructor.
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MATH 322 - Linear Algebra Spring
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MATH 330: Techniques of Problem Solving
2.00 Credits
Sonoma State University
Cultivates by experience and example the mental disciplines for generating creative solutions to challenging problems. The problems to be considered will be taken largely from recent examinations in the William Lowell Putnam Mathematical Competition, sponsored by the Mathematical Association of America. May be taken four times for credit. No more than 4 units of credit in this course may be applied toward any mathematics degree. Cr/NC only. Prerequisite: MATH 161 or consent of instructor.
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MATH 330 - Techniques of Problem Solving
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MATH 331: Diferential Equations II Spring
3.00 Credits
Sonoma State University
Topics may include Picard’s method and a discussion of the existence and uniqueness of solutions. General properties of solutions, including the Sturm separation theorem for second-order linear equations. Power series solutions for a regular singular point. Laplace transform. Linear systems of differential equations. Nonlinear differential equations and stability. Prerequisite: MATH 241 or consent of instructor.
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MATH 331 - Diferential Equations II Spring
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MATH 340: Real Analysis I Spring
4.00 Credits
Sonoma State University
Topics include construction of the real numbers, sequences, topology of real numbers, metric spaces, continuity, the derivative, and the Riemann integral. Prerequisites: MATH 220 and MATH 261, or consent of instructor.
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MATH 340 - Real Analysis I Spring
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MATH 342: Discrete Structures II Fall,Spring
3.00 Credits
Sonoma State University
A study of discrete structures that have applications in computer science. Topics will include: combinatorics and counting, probability and statistics, matrices, recurrence relations, generating functions, and graph theory. Throughout the course, applications to computer science will be discussed. Prerequisite: consent of instructor, or MATH 211 and one of the following: MATH 142, MATH 200, or MATH 220.
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MATH 342 - Discrete Structures II Fall,Spring
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MATH 345: Probability Theory Fall
3.00 Credits
Sonoma State University
Topics include: probability spaces, discrete and continuous random variables, probability mass functions, probability density functions, cumulative distribution functions, moment generating functions, law of large numbers, and central limit theorem. Prerequisites: MATH 261 (may be taken concurrently) and MATH 220, or consent of instructor.
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MATH 345 - Probability Theory Fall
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MATH 35: Elementary Algebra Fall,Spring
4.00 Credits
Sonoma State University
Real numbers, linear equations and inequalities, quadratic equations, polynomial operations, radical and exponential expressions. Prerequisite: placement based on ELM examination taken within the past two years. Course credit is not applicable toward graduation.
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MATH 35 - Elementary Algebra Fall,Spring
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MATH 352: Numerical Analysis Fall
3.00 Credits
Sonoma State University
Selected numerical and iterative processes for solving equations. Topics include computer methods, finite differences, Lagrange interpolations. Introduction to the finite element method and the theory of spline functions. Iterative and direct methods for solving linear systems and the Eigen problem. Numerical integration techniques. Prerequisites: MATH 241 (may take concurrently) and MATH 180 or CS 150 or competence in a high-level programming language, or consent of instructor. Sonoma State University 2006-2008 Catalog Mathematics Page 261
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MATH 352 - Numerical Analysis Fall
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MATH 360: Introduction to Complex Variables Fall 2004;Spring 2006
3.00 Credits
Sonoma State University
Topics include the complex field, functions, limits, continuity, complex differentiation and the Cauchy-Riemann equations, complex integration, residues, conformal mappings. Prerequisite: MATH 220, or concurrent enrollment in MATH 261, or consent of instructor. MATH 241 and MATH 340 are recommended.
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MATH 360 - Introduction to Complex Variables Fall 2004;Spring 2006
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MATH 365: Statistical Inference I Spring
4.00 Credits
Sonoma State University
A course in mathematical statistics, concerned with developing the concepts of statistics by the use of calculus. Topics include: theory of sampling; problem of estimation; tests of significance; confidence limits; and the t, F, and chi-square distributions. Prerequisite: MATH 345 or consent of instructor.
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MATH 365 - Statistical Inference I Spring
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