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Course Criteria
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3.00 Credits
A study of the real number system as a complete ordered field, completeness properties and their equivalences, function of a single real variable, continuity differentiability, uniform continuity, and Riemann integral. Prereq: MATH 335.
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3.00 Credits
The transition between problem-solving mathematics and mathematics which develops a theory. This course is rich in material useful for the secondary and elementary teacher. Prereq: 15 hours of mathematics or consent of instructor.
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3.00 Credits
Sets, functions, relations, number systems, theory of groups, including discussion of morphisms, quotient groups, and solvable groups. Prereq: 15 hours of mathematics or consent of instructor. F
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3.00 Credits
Systems of linear equations, vector spaces, basic properties of matrices and determinants, linear transformations on a vector space, and canonical representations of a linear transformation. Prereq: 15 hours of mathematics or consent of instructor. Sp
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3.00 Credits
Rings, integral domains, fields, quaternions, including discussions of characterizations of integers, embedding theorems, polynomials, and extension fields. Prereq: MATH 412.
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3.00 Credits
Definition and properties of a topological space; continuous functions, and homeomorphisms, various topological properties such as compactness, separation, and connectedness; metric spaces. Prereq: 15 hours of mathematics or consent of instructor.
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3.00 Credits
Functions of several variables, transformations, multiple integrals, line and surface integrals, infinite series. Prereq: MATH 335.
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3.00 Credits
Solutions to and applications of linear differential equations of order n and linear systems of differential equations. Prereq: MATH 335 (may be taken concurrently). Sp
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3.00 Credits
Solutions to non-linear and partial differential equations with an emphasis on numerical methods and techniques utilizing orthogonal functions. Prereq: MATH 433.
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3.00 Credits
A survey of current methods in numerical analysis. Topics will include polynomial approximation and interpolation, numerical differentiation and integration, numerical solutions of differential equations, functional approximation, solution of linear and nonlinear equations, and matrix methods for inverse and eigenvalue problems. Prereq: MATH 335.
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