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Mathematics 145: Introductory Chaos Theory
1.25 Credits
University of California-Santa Cruz
The Lorenz and Rossler attractors, measures of chaos, attractor reconstruction, applications from the sciences. Students cannot receive credit for this course and Applied Mathematics and Statistics 146. Prerequisite(s): course 22 or 23A; course 21; course 100 or Computer Science 101. Concurrent enrollment in course 145L is required. The Staff
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Mathematics 145 - Introductory Chaos Theory
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Mathematics 145L: Introductory Chaos Laboratory
1.00 Credits
University of California-Santa Cruz
Laboratory sequence illustrating topics covered in course 145. One three-hour session per week in microcomputer laboratory. Concurrent enrollment in course 145 is required. The Staff
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Mathematics 145L - Introductory Chaos Laboratory
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Mathematics 148: Numerical Analysis
1.25 Credits
University of California-Santa Cruz
The theory of constructive methods in mathematical analysis and its application with scientific computation. Some typical topics are difference equations, linear algebra, iteration, Bernoulli's method, quotient difference algorithm, the interpolating polynomial, numerical differentiation and integration, numerical solution of differential equations, finite Fourier series. Prerequisite(s): course 22 or 23A; course 21 and 24 or Applied Mathematics and Statistics 27; course 100 or Computer Science 101. Concurrent enrollment in course 148L is required. The Staff
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Mathematics 148 - Numerical Analysis
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Mathematics 148L: Numerical Analysis Laboratory
1.00 Credits
University of California-Santa Cruz
Laboratory sequence illustrating topics covered in course 148. One three-hour session per week in microcomputer laboratory. Concurrent enrollment in course 148 is required. The Staff
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Mathematics 148L - Numerical Analysis Laboratory
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Mathematics 160: Mathematical Logic I
1.25 Credits
University of California-Santa Cruz
Propositional and predicate calculus. Resolution, completeness, compactness, and L wenheim-Skolem theorem. Recursive functions, G del incompleteness theorem. Undecidable theories. Hilbert's 10th problem. Prerequisite(s): course 100 or Computer Science 101. The Staff
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Mathematics 160 - Mathematical Logic I
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Mathematics 161: Mathematical Logic II
1.25 Credits
University of California-Santa Cruz
Native set theory and its limitations (Russell's paradox); construction of numbers as sets; cardinal and ordinal numbers; cardinal and ordinal arithmetic; transfinite induction; axiom systems for set theory, with particular emphasis on the axiom of choice and the regularity axiom and their consequences (such as, the Banach-Tarski paradox); continuum hypothesis. Prerequisite(s): course 100 or equivalent, or by permission of instructor. Enrollment limited to 45. The Staff
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Mathematics 161 - Mathematical Logic II
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Mathematics 181: History of Mathematics.W
1.25 Credits
University of California-Santa Cruz
A survey from a historical point of view of various developments in mathematics. Specific topics and periods to vary yearly. The Staff
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Mathematics 181 - History of Mathematics.W
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Mathematics 188: Supervised Teaching
1.25 Credits
University of California-Santa Cruz
Supervised tutoring in self-paced courses. May not be repeated for credit. Students submit petition to sponsoring agency. The Staff
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Mathematics 188 - Supervised Teaching
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Mathematics 194: Senior Seminar. W
1.25 Credits
University of California-Santa Cruz
Designed to expose the student to topics not normally covered in the standard courses. The format varies from year to year. In recent years each student has written a paper and presented a lecture on it to the class. Prerequisite(s): course 103 or 105A or 111A. Enrollment priority given to seniors. The Staff
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Mathematics 194 - Senior Seminar. W
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Mathematics 195: Senior Thesis
1.25 Credits
University of California-Santa Cruz
Students research a mathematical topic under the guidance of a faculty sponsor and write a senior thesis demonstrating knowledge of the material. Students submit petition to sponsoring agency. May be repeated for credit. The Staff
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Mathematics 195 - Senior Thesis
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