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Course Criteria
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3.00 Credits
Does NOT meet the General Education Requirement for quantitative reasoning.] An introduction to the history of mathematics from ancient times to the twentieth century, with applications to elementary mathematics through calculus. Prerequisite: One college level MATH course.
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3.00 Credits
A study of inferential and descriptive statistics, emphasizing procedures used in measurement, evaluation, and research in the natural sciences and emphasizing the scientific method. Includes sampling distributions, probability, statistical inference, t-Tests, ANOVA, Chi Square, correlation, and regression. Prerequisite SAT/ACT Math score of 480/20, two years of high school algebra, or instructor permission.
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3.00 Credits
A course designed to study graph theory including networks, voting systems including game theory and fair apportionment, and patterns. Prerequisite: MATH 2245 Calculus II.
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3.00 Credits
Frequency interpretation of probability, axioms of probability theory, discrete probability and combinatorics, random variables, distribution and density functions, sampling theory and limit theorems. Prerequisite: MATH 1243 Calculus I.
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3.00 Credits
Surveys foundations of Euclidean, non-Euclidean and projective geometries from an axiomatic approach. Comparison is made with the transformational approach. Prerequisite: one General Education level MATH course (or equivalent high school math with ?B? or better).
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3.00 Credits
Vectors and geometry of space including cylindrical and spherical coordinates; vector functions and space curves with vector calculus, partial derivatives with directional derivatives and applications; multiple integrals with various coordinate systems with application. Prerequisite: MATH 2245 Calculus II.
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3.00 Credits
Systems of linear equations, vector spaces, linear mappings, matrices and matrix algebra, eigenvectors and eigenvalues, Cayley-Hamilton theorem, quadratic forms, and applications. Prerequisite: MATH 2245 Calculus II.
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3.00 Credits
Divisibility properties of integers, prime numbers, the Euclidean algorithm, the unique factorization theorem, congruencies, Fermat's theorem, Wilson's theorem, Diophantine equations, number-theoretic functions, and the quadratic reciprocity theorem. Prerequisite: MATH 2245 Calculus II.
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3.00 Credits
First and second order ordinary differential equations. Prerequisite: MATH 2245 Calculus II
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3.00 Credits
A preparation for the Mathematics content Knowledge section (0061) of the Praxis II examination. The main focuses are on Arithmetic, Algebra, Geometry and Trigonometry, Analytical Geometry; Functions, Graphing and Calculus; Probability, Statistics, Discrete Mathematics, Linear Algebra, Mathematical Reasoning and Modeling. Math Education majors should take this course prior to taking the Praxis Examination.
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