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Course Criteria
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3.00 Credits
Structure of complex numbers and their functions, analytic, harmonic, and elementary functions, residue theory, and conformal mapping. Prerequisite:MAT 313.
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4.00 Credits
Study and applications of vector analysis, partial differentiation,multiple integration, Jacobians, theorems of Green and Stokes, and divergence theorem. Prerequisite:MAT 255.
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3.00 Credits
A calculus based course covering discrete and continuous distributions, expectations, the normal distribution, the central limit theorem, the binomial distribution, and various topics in statistical theory such as point estimation, hypothesis testing, and linear regression. Prerequisite:MAT 245.
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3.00 Credits
A study of the historical development of certain basic mathematical concepts from early times to the present, with problems that mathematicians have faced in rings, integers, primes and composites, Galois Theory, and theory and use of computers. Prerequisite: MAT 245.
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1.00 - 3.00 Credits
This course of study is offered to afford the superior student an opportunity to explore independently subject matter not already offered in the catalog.
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1.00 - 3.00 Credits
Various appropriate topics of different concentrations are offered each time.May be repeated with different subject matter. Student involvement in selection of topics is strongly encouraged.
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3.00 Credits
Vector spaces; matrices, rank and systems of linear equations; linear transformation; similarity and diagonalization theorems; eigenvectors and eigenvalues. Prerequisite:MAT 313.
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3.00 Credits
Methods of solution of ordinary differential equations with some applications to geometry and physics. Prerequisite:MAT 255.
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3.00 Credits
An introduction to general and algebraic topology, concentrating on point-set topology. Topics to be covered include topological spaces,metric spaces, continuous functions, connectedness, and compactness. Prerequisite:MAT 313.
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3.00 Credits
An introduction to real analysis and topology covering the completeness of the real numbers, sequences, limits, continuity, uniform continuity, Riemann integrability, topology of the real numbers, topological spaces, connectedness, compactness, and metric spaces. Prerequisite:MAT 313.
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