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Course Criteria
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3.00 Credits
An in-depth examination of the application of statistical techniques to the real world. The course extends the concepts learned in MATH 165, and introduces new topics; it is suitable for students with an interest in applying statistics to their field of interest. Topics selected from: theory of estimation, ANOVA (analysis of variance), multiple regression, principles of experimental design, sampling theory, time series analysis, non-parametric statistics, and multivariate analysis. Prerequisite: MATH 165 or MATH 250 or instructor consent.
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1.00 - 4.00 Credits
CIP involves students in basic community problems, performing such tasks as tutoring, coaching, and reading for the blind. Students receive 1 to 4 units, depending on the specific tasks performed. No more than 3 units of credit in CIP may be applied toward any mathematics degree. May be repeated for credit up to 6 units total. Cr/NC only.
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3.00 Credits
This course, designed for prospective elementary and middle school teachers, explores numerical ideas and processes underlying the K-8 mathematics curriculum. The emphasis is on understanding the mathematical ideas and procedures, and on representing them in ways that children can understand. Problem solving, reasoning, and alternative strategies are emphasized throughout. Prerequisite: MATH 150 or other GE Math course or consent of instructor.
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3.00 Credits
This course is designed for prospective elementary and middle school teachers. The focus in algebra is on patterns and functions, algebraic structure, representations and connections, and reasoning and problem solving. The focus in data and chance is on developing solid understanding of fundamental concepts and skills in statistics and probability, and on enhancing students’ understanding and skills in number and computation, proportional reasoning, and algebra. Prerequisite: MATH 300A or consent of instructor.
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3.00 Credits
Basic interest theory, including patterns of growth, interest operations, level payment annuities, non-level payment annuities, yield rates, amortization, sinking funds, and bonds. Prerequisite: MATH 161 or equivalent or consent of instructor.
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3.00 Credits
Topics may include mathematical induction, Euclidean algorithm, congruencies, fundamental theorem of arithmetic, perfect numbers, number theoretic functions, prime number theorem. Prerequisite: MATH 142 or MATH 200 or MATH 220 or consent of instructor.
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3.00 Credits
Topics may include the Hilbert postulates, isometries in the Euclidean plane, non-Euclidean geometries, projective geometry, construction of geometries from fields. Prerequisites: MATH 220 and either MATH 222 or MATH 241 or consent of instructor. Any student who has not taken high school geometry is advised to take MATH 150 before MATH 308.
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3.00 Credits
Mathematics from ancient times to the present. The student learns how to solve problems of the past using the tools of the past. Prerequisite: MATH 161 or consent of instructor.
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3.00 Credits
Set theory, counting techniques such as permutations, combinations, generating functions, partitions and recurrence relations, Polya’s theorem, Hamiltonian and Eulerian properties of graphs, matchings, trees, coloring problems, and planarity. Applications in many disciplines. Students may not earn credit for both MATH 316 and MATH 416. Prerequisite: MATH 142 or MATH 200 or MATH 220 or consent of instructor.
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4.00 Credits
An introduction to the theory of groups, rings, and fields. Topics covered include: permutation and cyclic groups, factor groups, ideals and factor rings, and isomorphism and homomorphism theory of groups and rings. Prerequisite: MATH 220 or consent of instructor.
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