|
|
|
|
|
|
|
|
|
|
Course Criteria
Add courses to your favorites to save, share, and find your best transfer school.
-
4.00 Credits
This course concentrates on algorithmic thinking and proofs. Topics include sets and functions, relations and orders, counting techniques, analysis of algorithms, induction, recurrence relations, elements of the theory of numbers, and graph theory. Prerequisite: MATH 142 or MATH 133. Credit will not be granted for both MATH 322 and MATH 151-152. 4 semester hours
-
4.00 Credits
This course traces the development of mathematical ideas. Historical details form the course's foundation, but the emphasis is on the changing face of mathematics in relation to different opinions about the nature of mathematics. The role of logic, formalization, experimentation, applications, examples, analogy, and motivation in mathematics are probed. The contributions of different societies and groups are explored. Prerequisite: MATH 241 or MATH 242. 4 semester hours
-
4.00 Credits
An introductory treatment of linear algebra, including systems of linear equations, matrices, determinants, vector spaces, linear independence, bases, linear maps, eigenvalues and eigenvectors, together with selected applications. Prerequisite: MATH 142 or MATH 133. 4 semester hours
-
4.00 Credits
An introductory study of algebraic structures such as groups, rings, and fields is made in this course. Galois Theory is studied as time permits. Prerequisite: MATH 142 or MATH 133. 4 semester hours
-
4.00 Credits
This course covers the fundamentals of real analysis: the axioms of the real number system, convergence of sequences and series, the topology of Euclidean spaces, continuity, uniform continuity, and differentiability. Prerequisite: MATH 241. 4 semester hours
-
4.00 Credits
Continuation of MATH 341. Topics include the Riemann integral, Riemann-Stieltjes integration, sequences and series of functions, normed linear spaces, linear transformations, and inverse and implicit function theorems. Prerequisite: MATH 341. 4 semester hours
-
4.00 Credits
The course covers Fourier series, Fourier transforms, and integrals. These tools are applied to the study of partial differential equations; in particular, the wave equation, heat equation, and Laplace's equation. Prerequisite: MATH 241 and MATH 242. 4 semester hours
-
4.00 Credits
The content varies from year to year to accommodate special interests of instructors and students. Topics may include an axiomatic treatment of synthetic geometry, projective geometry, classical differential geometry, and convex sets. Prerequisite: MATH 241. 4 semester hours
-
4.00 Credits
A study of the topology of the real line and of higher dimensional Euclidean spaces serves as a model for the study of metric spaces; these in turn lead to general topological spaces. Particular attention is paid to the notions of compactness, connectedness, completeness, and continuity. Prerequisite: MATH 241. 4 semester hours
-
4.00 Credits
A one-semester introduction to numerical methods, covering fixed point arithmetic, solutions of equations in one variable, interpolation and approximation, numerical integration, initialvalue problems for ordinary differential equations, and numerical techniques in matrix algebra. Prerequisite: MATH 242; recommended: MATH 331. 4 semester hours
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Privacy Statement
|
Terms of Use
|
Institutional Membership Information
|
About AcademyOne
Copyright 2006 - 2024 AcademyOne, Inc.
|
|
|