Honors Thesis
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Honors Project
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Practicum
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Independent Study
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Theory Of Numbers
Basic properties of the positive integers including congruence arithmetic, the theory of prime numbers, quadratic reciprocity, and continued fractions. Theory applied to develop algorithms of computer science and to cryptography. Prerequisite: MATH 235 or 236.
Advanced Calculus
Calculus of several variables, Jacobians, implicit functions, inverse functions; multiple integrals, line and surface integrals, divergence theorem, Stokes' theorem. Prerequisites: MATH 233 and MATH 235 or 236.
Complex Variables
Complex numbers and functions, analytic functions, complex integration, series, residues, conformal mappings. Applications: computation of real integrals, Dirichlet's boundary value problem and its application to physics and engineering. Prerequisite: MATH 233.
Intro to Abstract Algebra I
Introduction to groups, rings, fields, vector spaces, and related concepts. Emphasis on development of careful mathematical reasoning. Prerequisites: MATH 235 or 236; MATH 300 or consent of instructor.
Intro to Abstract Algebra I
Introduction to groups, rings, fields, vector spaces, and related concepts. Emphasis on development of careful mathematical reasoning. Prerequisites: MATH 235 or 236; MATH 300 or consent of instructor.
Practicum
Not available at this time