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Course Criteria
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3.00 Credits
An introduction to fundamental theoretical concepts of mathematics and of mathematics in computer science. Topics include logic, techniques of proof, elementary set theory, mathematical induction, numeration systems, relations and functions, counting techniques, and Boolean algebra. Prerequisite: MAT 107 or its equivalent. Fall and Spring
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3.00 Credits
A theoretical study of systems of linear equations and vector spaces. Topics include matrix algebra, linear transformations, eigenvalues and eigenvectors, determinants, and linear programming. Prerequisite: MAT 225 and 301. Spring
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3.00 Credits
A continuation of the study of single-variable calculus, and a study of multivariable calculus. Topics include parametric equations, polar coordinates, vectors and vector-valued functions, partial differentiation, Lagrange multipliers, double and triple integrals, and line integrals. Prerequisite: MAT 225. Fall and Spring
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3.00 Credits
A study of chance phenomena and probability distributions. Topics include probability laws and elementary combinatorics, random variables, mean and variance, discrete and continuous probability distributions, the Central Limit Theorem, and laws of large numbers. Prerequisite: MAT 225. Even Falls
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3.00 Credits
A study of statistical methods and tests of hypotheses. Topics include estimation of parameters, test of hypotheses, linear regression, and analysis of variance. Prerequisite: MAT 331. Odd Springs
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3.00 Credits
Axiomatic development of elementary geometry, non-Euclidean geometry, impossible construction, projective geometry. Prerequisites: MAT 125 and 301. Odd Falls
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3.00 Credits
A study of solution methods and applications of differential equations. Topics include first order equations, higher order linear equations, the Laplace transform, and power series techniques. Corequisite: MAT 325. Spring
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3.00 Credits
An introduction to the study of functions of one complex variable. Topics include the algebra of complex numbers, analytic functions, contour integrals, power series, the Residue Theorem, and conformal mappings. Corequisite: MAT 325. Odd Springs
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3.00 Credits
A survey of topics in elementary number theory, with an emphasis on applications to cryptology. Topics include modular arithmetic, the Chinese Remainder Theorem, the Euler phi function, pseudoprimes, and various cyptosystems, including affine substitutions, the Vigenere square, and RSA. Prerequisite: MAT301. Even Springs
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3.00 Credits
A theoretical development of basic algebraic structures, with an emphasis on group theory. Topics include cyclic groups, Lagrange's Theorem, quotient groups, and homomorphisms. Rings, integral domains, and fields are introduced. Prerequisites: MAT 225 and 301. Even Falls 431. Real Analysis I. ( 3 hours) A theoretical development of the elements of calculus. Topics include sequences, continuity, derivatives and integrals of single-variable functions. Prerequisite: MAT 225 and 301. Odd Falls
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