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Course Criteria
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3.00 Credits
Goal To study the basic properties of some discrete mathematical structures and to initiate the rigorous study of mathematical methods of proof. Content Graphs and trees, elementary number theory, including counting techniques and recursion; set theory, relations, and methods of proof, including mathematical induction and limit proofs. Taught Fall. Alternate years. Prerequisites MAT 130 or equivalent. Gen. Ed. Category Quantitative reasoning. Credit 3 hours; cross-listed as CSC 200.
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3.00 Credits
Goal To study the concepts of differential calculus and to begin the study of integral calculus. Content Properties and graphs of algebraic and transcendental functions, limits, continuity, the derivative, and some of its applications, and the definite integral. Taught Fall, Spring. Prerequisites MAT 140 or equivalent, or two years of high school algebra, one year of high school geometry, and at least a semester of trigonometry. Gen. Ed. Category Quantitative reasoning. Credit 3 hours.
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3.00 Credits
Goal To study the concepts of integral calculus. Content The Fundamental Theorem of Calculus, techniques of integration, applications of the definite integral, improper integrals, sequences and series, Taylor polynomials and power series. Taught Fall, Spring. Prerequisites MAT 205 or equivalent. Gen. Ed. Category Quantitative reasoning. Credit 3 hours.
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3.00 Credits
Goal To expand the study of differential and integral calculus to an intermediate level. Content Indeterminate forms, improper integrals, sequences and infinite series, Taylor polynomials and power series, conics, polar co-ordinates, and an introduction to numerical methods and approximations. Taught Fall. Prerequisites MAT 206 or equivalent. Credit 3 hours.
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3.00 Credits
Goal To study the extension of the concepts of calculus to functions of several variables. Content Properties of functions of several variables, differentiation and integration in Rn vectors, parametric equations. Taught Spring. Prerequisites MAT 206 or equivalent. Credit 3 hours.
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3.00 Credits
Goal To introduce the elements of linear algebra. To apply the theory of matrices to solve appropriate problems, including systems of linear equations. Content Matrices, determinants, linear systems, vector spaces, bases, linear transformations, inner products, eigenvalues, eigenvectors, and diagonalization. Taught Spring. Prerequisite MAT 205. Credit 3 hours.
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3.00 Credits
Goal To survey the computer skills needed for middle grades teachers. Content Use of the computer as an instructional and research tool within the middle grades classroom, including word processing, database, spreadsheet, graphics, graphing, communications, laser disc, CDROM materials, and teacher utility and instructional software. Taught Alternate years. Credit 3 hours.
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3.00 Credits
Goal To introduce students to the logic of designing an experiment and interpreting the quantitative data derived from it. Content A study of the binomial and normal distributions, measures of central tendency, tests of hypotheses, chi-square tests, tests for homogeneity and independence, confidence intervals, regression, and correlation. Taught Fall, Spring. Prerequisite MAT 130, 140, or equivalent placement. Credit 3 hours; cross-listed as ECO 220, PSY 220.
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3.00 Credits
Goal To explore methods of solving ordinary differential equations. To expand upon the techniques learned in the calculus sequence. Content A study of first and second order differential equations and of higher order linear differential equations, including power series methods, Laplace transform, and a brief introduction to numerical techniques. Taught Spring. Prerequisites MAT 205 and 206; 207 as a co- or prerequisite. Credit 3 hours
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3.00 Credits
Goal To study various computer implemented numerical techniques for modeling and solving problems in mathematics. Content Numerical techniques for solving linear and non-linear equations, systems of linear equations, and ordinary differential equations; polynomial interpolation, numerical differentiation and integration, and numerical solutions of eigenvalue problems. Taught Offered occasionally. Prerequisites CSC 216, CSC 218, MAT 206, MAT 210. Credit 3 hours; cross-listed as CSC 305.
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