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MATH 151B: Advanced Calculus
4.00 Credits
University of California-Riverside
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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MATH 151B - Advanced Calculus
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MATH 151C: Advanced Calculus
4.00 Credits
University of California-Riverside
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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MATH 151C - Advanced Calculus
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MATH 153: History of Mathematics
4.00 Credits
University of California-Riverside
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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MATH 153 - History of Mathematics
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MATH 165A: Introduction to Complex Variables
4.00 Credits
University of California-Riverside
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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MATH 165A - Introduction to Complex Variables
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MATH 165B: Introduction to Complex Variables
4.00 Credits
University of California-Riverside
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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MATH 165B - Introduction to Complex Variables
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MATH 171: Introduction to Modern Algebra
4.00 Credits
University of California-Riverside
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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MATH 171 - Introduction to Modern Algebra
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MATH 172: Modern Algebra
4.00 Credits
University of California-Riverside
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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MATH 172 - Modern Algebra
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MATH 190: Special Studies
1.00 - 5.00 Credits
University of California-Riverside
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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MATH 190 - Special Studies
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MATH 194: Independent Reading
1.00 - 2.00 Credits
University of California-Riverside
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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MATH 194 - Independent Reading
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MATH 197: Research for Undergraduates
1.00 - 4.00 Credits
University of California-Riverside
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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MATH 197 - Research for Undergraduates
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