|
|
|
|
|
|
|
|
|
|
Course Criteria
Add courses to your favorites to save, share, and find your best transfer school.
-
3.00 Credits
Students work intensively in a special topic of analytic character. Topics vary from year to year and are usually selected from real analysis, dynamical systems, or probability theory. Note: This course is a 200-level version of a Mathematics 382. May be repeated if topics are different.
-
-
3.00 Credits
Independent Study
-
3.00 Credits
A sequel to Mathematics 230, this course studies differential equations from a more rigorous mathematical perspective and extends their use as modeling tools. Students examine dynamical systems and their use in the study of chaos and fractals and partial differential equations and their use to describe complex physical phenomena such as wave motion and diffusion. Mathematical computing plays an important role. Prerequisite: Mathematics 230. Offered periodically.
-
3.00 Credits
Complex analysis treats the calculus of complex-valued functions of a complex variable. Familiar words and ideas from ordinary calculus (limit, derivative, integral, maximum and minimum, infinite series) reappear in the complex setting. Topics include complex mappings, derivatives, and integrals; applications focus especially on the physical sciences. Prerequisite: Mathematics 220. Recommended: Mathematics 226.
-
3.00 Credits
The main topics are measure theory on the real line and the Lebesgue integral, up to and including the convergence theorems. Applications to probability and harmonic analysts are included. Prerequisite: Mathematics 244, or permission of instructor. Offered in 2007-08 and alternate years.
-
3.00 Credits
This course is an introduction to topological spaces and their structure from point-set, differential and algebraic points-of-view. Topics may include separation axioms, compactness, connectedness, classification of surfaces, homology, fundamental group, and others. Prerequisite: Math 244 or 252. Offered in 2008-09 and alternate years.
-
3.00 Credits
This course offers a continuation of group theory and field theory, including group actions, Sylow theory, and Galois theory. Other topics may include representation theory, module theory and more, depending on the instructor. Prerequisite: Math 252. Offered in 2008-09 and alternate years.
-
3.00 Credits
Properties of axiomatic systems are illustrated with finite geometries and applied in a synthetic examination of Euclid's original postulates, well-known Euclidean theorems, and non-Euclidean geometries. Euclidean, similarity, and affine transformations are studied analytically. These transformations are generalized to obtain results in projective geometry or used to generate fractals in an exploration of fractal geometry. Dynamic geometry software and hands-on labs are used to explore both the transformations and properties of these geometries. Prerequisite: Mathematics 220 and 244 or 252. Offered during Interim.
-
3.00 Credits
This course covers basic enumeration, including generating functions, recursion, inclusion-exclusion, Polya theory, etc. Students also explore topics in graph theory and constructive combinatorics, time permitting. Prerequisite: Mathematics 252; some previous exposure to counting methods (e.g., Mathematics 262) is helpful. Offered in 2007-08 and alternate years.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Privacy Statement
|
Terms of Use
|
Institutional Membership Information
|
About AcademyOne
Copyright 2006 - 2025 AcademyOne, Inc.
|
|
|