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Course Criteria
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3.00 Credits
This course, which is offered occasionally, examines different topics in applied mathematics. (MATH 301 highly recommended)
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1.00 - 3.00 Credits
Independent study of selected topics in mathematics developed by the student with the approval and direction of the instructor. (Prerequisite: consent of the instructor)
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4.00 Credits
The course introduces analysis as a tool for a deeper understanding of calculus. With the least upper bound axiom of the real numbers as its starting point, the course develops the foundations necessary to work with limits and prove results from calculus. Topics include sequences, series, power series, derivatives, and integrals. Time permitting the course will explore how the same tools are used in more advanced settings. (Prerequisites: MATH 233 and 301 (S of odd numbered years)
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4.00 Credits
This course continues the study of analysis shifting from the real numbers to complex numbers. Topics include functions of a complex variable, Cauchy's theorem, integration by residues, power series, and conformal mappings. (Prerequisites: MATH 233, 301. Math 431 recommended) (F of odd numbered years)
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4.00 Credits
This introductory course in abstract algebra is focused mainly on number theory, with an introduction to the concepts of groups, rings, and fields. Number theoretic concepts include divisibility (such as Bezout's identity, the fundamental theorem), congruences, number-theoretic functions, Euler's Theorem, linear Diophantine equations, Quadratic Reciprocity, and applications to cryptography.(Prerequisite: MATH 301) (F of odd numbered years)
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4.00 Credits
This course continues the study of abstract algebra and is focused mainly on groups, with some exploration of rings and fields as time allows. Group theoretic topics include subgroups, normal subgroups and quotient groups, and some counting principles. A wide variety of examples will be explored. (Prerequisite: MATH 441) (eS)
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4.00 Credits
Focuses on the content of middle and secondary school mathematics and appropriate teaching methods. Instruction will be guided by the NCTM Principles and Standards for School Mathematics and the Wisconsin Model Academic Standards for Mathematics. Emphasis is on problem solving, critical thinking, communication, and algebraic and geometric reasoning, measurement, data analysis and probability in grades 5 - 12. Students will investigate and review the content of current mathematics text series, and will observe and interact with learners engaged in studying these topics. (Math 301 highly recommended) (F)
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3.00 Credits
This course is designed to provide an integrative study of curriculum and instruction in mathematics for middle/secondary level classrooms including appropriate research and practice in learning theories, curriculum development, teaching methods, instructional materials, evaluation and assessment at the middle/secondary level. Emphasis will be placed on the NCTM Principles and Standards for School Mathematics and the Wisconsin Model Academic Standards. Crosslisted with ED 459M.
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4.00 Credits
An introduction to geometry. Topics include postulation development of Euclidean and non-Euclidean geometry; introduction of other geometries: projective, finite, vector, and transformational; historical development of geometry.(Prerequisite: MATH 301) ( F of even numbered years)
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4.00 Credits
This course continues the study of properties of spaces invariant under homomorphisms. Topics include continuity, homomorphisms, connectedness, compactness, manifolds, the classification of closed, compact surfaces, the Euler characteristic, the fundamental group, and knot theory. (Prerequisite: MATH 301; 461 recommended) (S of odd numbered years)
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