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Course Criteria
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3.00 Credits
Prerequisite: for MAT 151: MAT 111 or 115 or the equivalent preparation in algebra; for MAT 152: MAT 112 or 115 or the equivalent preparation in algebra and trigonometry and MAT 151. Differentiation and integration of algebraic and certain transcendental functions, partial differentiation, sequences and series. Greater emphasis on techniques and applications than on theory and derivations. Not intended for students who need mathematics beyond calculus.
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4.00 Credits
Prerequisite: MAT 112 or 115 or equivalent preparation in algebra and trigonometry. Calculus of a single variable intended for students in the mathematical and natural sciences. Functions and limits; differentiation with applications including maxima and minima, related rates, approximations; theory of integration with applications; transcendental functions; infinite sequences and series; conic sections, parametrized curves and polar coordinates; elementary differential equations. Three lecture and two hour laboratory hours each week.
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3.00 Credits
Prerequisite: MAT 142; MAT 151 or 161. Open only to majors or pre-majors in elementary, middle school, special, or health and physical education. Introduction to discrete mathematics. Includes graph theory; matrix operations and applications; linear programming; iterative and recursive techniques; counting techniques; series and sequences; equivalence relations; calculator-based programming. Interdisciplinary applications include social sciences, industry, and networks.
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4.00 Credits
Prerequisite: MAT 162. Calculus of functions of several variables. Vectors and analytic geometry of three dimensional space; partial derivatives, gradients, directional derivatives, maxima and minima; multiple integrals; line and surface integrals, Green's Theorem, Divergence Theorem, and Stokes' Theorem. Three lecture and two laboratoryhours each week.
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3.00 Credits
Prerequisite: MAT 152 or 161. Introduction to logic and mathematical proof with a focus on properties of the real number system. Elementary set theory, relations, functions, cardinality, algebraic and completeness properties of the reals and topics from axiomatic systems. Precision in the language of mathematics and rigor in proofs. Student presentations.
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3.00 Credits
Prerequisite: MAT 261 and 275. Thorough treatment of the topology of the real line, functions and limits, convergence, continuity, differentiation and integration of functions of a real variable. Infinite series, uniform convergence.
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3.00 Credits
Prerequisite: MAT 275 or CSC 133. Introduction to the theory of numbers motivated by applications. Primes and divisibility; the Euclidean algorithm; linear congruences and the Chinese Remainder Theorem; Fermat's Little Theorem; continued fractions and Farey sequences. Applications to cryptology, computer arithmetic, random number generators and primality testing. Possible additional applications to computer science, physics, communication, music.
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3.00 Credits
Prerequisite: CSC 112 or 121, and MAT 162. An introduction to the numerical algorithms fundamental to scientific computer work. Includes elementary discussion of error, polynomial interpolation, quadrature, linear systems of equations, solution of non-linear equations, and numerical solution of ordinary differential equations. The algorithmic approach and the efficient use of the computer are emphasized.
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3.00 Credits
Prerequisite: MAT 162. Systems of linear equations, vector spaces, algebra of matrices and linear transformations, determinants, applications.
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3.00 Credits
Prerequisite: MAT 275, 335 or consent of instructor. Study of group theory and introduction to rings. Groups, subgroups, normal subgroups, quotient groups, homomorphisms. Permutation groups, matrix groups, symmetry groups. Definition and examples of rings.
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