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Course Criteria
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1.00 - 3.00 Credits
1 FS This course is an independent study of special problems offered for 1.0-3.0 units. You must register directly with a supervising faculty member. MATH 399 cannot be used to fulfill major requirements without prior approval of the advisor and department chair.
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3.00 Credits
3 FS ENGL 130 (or its equivalent) with a grade of C- or higher, MATH 220, MATH 330, upper-division standing. Limits, continuity, uniform continuity, the definite integral, series, convergence, uniform convergence, and metric spaces. Differentiation and integration of functions of several variables. Transformation of multiple integrals.
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3.00 Credits
3 SP MATH 420. Continuation of MATH 420.
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3.00 Credits
3 INQ MATH 220, MATH 330. Axiomatic geometry of the projective plane. Duality, collineations, correlations, polarities, and conics.
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3.00 Credits
3 INQ MATH 220, MATH 330. The isoperimetric problem and other extremum problems. Sets of constant width. Linear programming.
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3.00 Credits
3 INQ MATH 220, MATH 330. The geometry of curves and surfaces in Euclidean 3-space.
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3.00 Credits
3 INQ MATH 220, MATH 330. Similarity groups, affine groups, projective groups and their invariants.
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3.00 Credits
3 FA MATH 220, MATH 330, MATH 335. Vector spaces, linear operators, bilinear forms and scalar products, unitary spaces; matrix polynomials, eigenvalues, and Jordan normal form.
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3.00 Credits
3 S2 MATH 220, MATH 330. Metric spaces, continuous functions, homeomorphisms, separation, and covering axioms, connectedness.
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3.00 Credits
4 FS MATH 342. Assignment as a Mathematics Department intern. Supervised internship in teaching mathematics with accompanying seminar. Guidance in facilitation of mathematical learning. Topics include contemporary mathematics curriculum topics, mathematical learning theories, communication, and assessment.
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