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Course Criteria
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4.00 Credits
Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 010A, MATH 010B, MATH 046, MATH 145A, MATH 151A; or consent of instructor. Continuation of MATH 151A. Topics include sequences and series of functions and functions of several variables.
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4.00 Credits
Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 010A, MATH 010B, MATH 046, MATH 145A, MATH 151A, MATH 151B; or consent of instructor. Continuation of MATH 151B. Further study of several variables, integration of differential forms, and Lebesgue integration.
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4.00 Credits
Lecture, 3 hours; discussion, 1 hour, or term paper, 3 hours. Prerequisite(s): MATH 009C or consent of instructor. A survey from a historical point of view of various developments in mathematics with particular emphasis on the nineteenth and early twentieth centuries.
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4.00 Credits
Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 010B. An introduction to the theory of analytic functions of a complex variable. Includes mappings by elementary functions, complex integrals, as well as Cauchy's theorem, power series, and Laurent series.
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4.00 Credits
Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 010B, MATH 165A. Topics include the theory of residues, conformal mapping, and applications to physical problems.
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4.00 Credits
Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 131, MATH 144. An introduction to the fundamental concepts of modern algebra: groups, subgroups, quotient groups, homomorphisms, symmetry groups, fundamental properties of rings, integral domains, ideals, and quotient rings.
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4.00 Credits
Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 171. Fundamental concepts of modern algebra: groups, fields, polynomials, geometric constructions, algebraic coding, boolean algebras.
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1.00 - 5.00 Credits
To be taken with the consent of the chair of the department as a means of meeting special curricular problems. Course is repeatable.
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1.00 - 2.00 Credits
Independent reading in materials not covered in course work. Normally taken in the senior year. Total credit for MATH 194 may not exceed 4 units.
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1.00 - 4.00 Credits
Outside research, 3-12 hours. Prerequisite(s): upper-division standing; consent of instructor. Involves a research project on a problem in, or related to, mathematics conducted under the supervision of a Mathematics faculty member. Students who submit a term paper receive a letter grade; other students receive a Satisfactory (S) or No Credit (NC) grade. Course is repeatable to a maximum of 8 units.
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