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Masters in Mathematics Course Offerings, Summer ‘07

Math 597 Masters Thesis (1 - 6)

Day and Time:  to be arranged with advisor

Instructor:  student identifies advisor

Supervised research in mathematical sciences or applications.

Prerequisites: topic/ area of study identified. A complete Advisor Request form is required to register. (Obtain here.)

 

Math 598 Masters Project (1 - 6)

Day and Time:  to be arranged with advisor

Instructor:  student identifies advisor

Supervised industrial, educational or scientific project involving use of advanced mathematical methods.

Prerequisites: topic/ area of study identified. A complete Advisor Request form is required to register. (Obtain here.)

 

CS/Math 581 Mathematical Methods in Artificial Intelligence (3)

Day and Time:  online course; may meet with instructor one-on-one or with a group occasionally

Dates: approximately June 1 through Aug. 27

Instructor:  Professor Bill Wolfe

This course presents several branches of mathematics that provide computational basis for Artificial Intelligence. The course covers Trees and Search, The Concepts of Predicate Logic, The Theory of Resolution, Nonmonotonic Reasoning, Probability Theory, Bayesian Networks, Fuzziness and Belief Theory, Classifier Systems, Math for Neural Networks, Elements of Statistics, Decision Trees and Optimization.

Prerequisites:  admission to the MS CS or MS Mathematics Program

Programming requirements:  (from the instructor) "they don't need to be programmers, although there may be a team assignment where the CS students are expected to do the coding."

 

Masters in Mathematics Course Offerings, Fall ‘07

Math 513 Advanced Algebra (3)

Day and Time:  Tuesdays, 7:30 - 10:20 p.m. (updated 8/2/07)

Instructor:  Dr. Jesse Elliott

Topics include: Techniques of GroupTheory, Rings Fields, Modules, Galois Theory, Algebraic Number Theory, Algebraic Geometry, Techniques of Linear Algebra, Noncommutative Algebra, and Homological Algebra.

Suggested Prerequisites:  (from the instructor) "The student should have a working knowledge of groups, rings, and fields as obtained from a standard one semester or two quarter course in abstract algebra. This includes knowing the definitions of each, the fundamental examples, and the basic theorems regarding them. Specifically, regarding groups one should know everything up to the isomorphism theorems. Regarding rings one should know everything up to the isomorphism theorems. And regarding fields one should know the definition, the basic examples, and how to construct them from irreducible polynomials in polynomial rings." The text used in CSUCI's undergraduate algebra course (Math 393) is Introduction to Abstract Algebra, with Notes to the Future High School Teacher, by Nicodemi, Towsley, and Sutherland (Pearson 2006), Chapters 1-5. Any reference covering the topics above is acceptable.

Textbook:  will appear shortly

 

Math 565 Research Methods in Mathematics Education (3)

Day and Time:  Wednesdays 7:45 - 9:45 and one hour online (updated 8/2/07)

Instructors:  Dr. Ivona Grzegorcyzk (updated 8/2/07)

Mathematical research methods in education. Current issues of college level curriculum including systems of geometry, algebra, precalculus, calculus, probability and statistics, linear algebra, differential equations, and discrete mathematics.

Suggested Prerequisites:  strong interest in mathematics education

Textbook:  coursepack and online readings

  

Math 597 Masters Thesis (1 - 6)

Day and Time:  to be arranged with advisor

Instructor:  student identifies advisor

Supervised research in mathematical sciences or applications.

Prerequisites: topic/ area of study identified. A complete Advisor Request form is required to register. (Obtain here.)

 

Math 598 Masters Project (1 - 6)

Day and Time:  to be arranged with advisor

Instructor:  student identifies advisor

Supervised industrial, educational or scientific project involving use of advanced mathematical methods.

Prerequisites: topic/ area of study identified. A complete Advisor Request form is required to register. (Obtain here.)

 

Math 599 Graduate Seminar (1)

Day and Time:  Wednesdays, 6:00 - 7:30 p.m. (updated 8/2/07)

Instructor:  Dr. Cindy Wyels

Oral presentations of current advancements in the field, reports on students' research, master thesis, and projects.  Repeatable.

Suggested Prerequisites:  intellectual curiosity

Textbook:  none

 

 

Additional MS Computer Science Course Offerings

 

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