Mathematics

A general liberal arts mathematics course intended to introduce the student to several diverse areas of applications of mathematics. Three or four of the following five topics will be covered in some depth: finance, graph theory, voting and apportionment, probability, and statistics. Prerequisite: GNST 095 or a Math ACT score of 19 or above.

MATH 111 — Mathematics for Elementary Teachers I. 3 hours.

Set notation and operations, number systems, and other bases. Special attention is given to whole numbers, integers, rational numbers, and real numbers. Properties of the fundamental operations of arithmetic are studied. Prerequisite: GNST 095, or a Math ACT score of 19 or above. This course does not satisfy the general education Mathematics requirement unless MATH 112 is also satisfactorily completed.

MATH 112 — Mathematics for Elementary Teachers II. 3 hours.

A continuation of MATH 111. Topics studied will include geometry (shapes, congruence, relationships, constructions, Pythagorean theorem, symmetries, etc.), measurement (linear, area, volume, angles), elementary probability, and statistics. Prerequisite: MATH 111 or consent of the instructor.

MATH 117 — Finite Mathematics with Business Applications. 3 hours.

An introduction to finite mathematics with applications in business and management areas. Constructing and using linear models, matrices, solving linear systems of equations, linear programming, probability, and expected value. Prerequisite: GNST 095 or a Math ACT score of 19 or above.

MATH 120 — Introduction to Statistics. 3 hours.

An introduction to statistics including basic descriptive statistics, probability, the normal distribution, hypothesis testing with one and two sample problems, regression,and correlation. MATH 120 and MATH 241 cannot both be taken for credit. Prerequisite: GNST 095 or a Math ACT score of 19 or above.

MATH 131 — Algebra and Trigonometry. 4 hours.

Binomial expansion, inequalities, induction proofs, complex numbers, function notation, logarithms, and basic combinatorics; trigonometric functions, graphs, identities, and equations; laws of sines and cosines, DeMoivre’s Theorem. Prerequisite: GNST 095 with a minimum grade of C-, or a Math ACT score of 19 or above.

MATH 132 — Trigonometry. 2 hours.

Trigonometric functions, graphs, identities, solving trigonometric equations, laws of sines and cosines, and DeMoivre’s theorem. Prerequisite: a course in College Algebra, GNST 095 with a minimum grade of C- ,or a math ACT score of 19 or above. MATH 131 and 132 cannot both be taken for credit. MATH 132 is the last half of MATH 131.

MATH 147 — Calculus I. 4 hours.

An introduction to the calculus of one variable with associated analytic geometry. A review of selected topics from algebra, limits, continuity, derivatives and applications, indefinite integration with applications, the definite integral, and the fundamental theorem of calculus. Prerequisites: completion of a pre-calculus course that includes trigonometry and an ACT math score of 26 or above, MATH 131, or consent of the instructor.

MATH 148 — Calculus II. 4 hours.

A continuation of MATH 147. Applications of the definite integral; elementary transcendental functions, including their derivatives and integrals, techniques of integration, polar coordinates, hyperbolic functions, conics, L’Hopital’s rule, improper integrals, and Taylor’s formula. Prerequisite: MATH 147, an AP Calculus AB score of 4 or 5, or consent of the instructor.

MATH 151 — Freshman Seminar in Mathematics. 1 hour.

Students will be introduced to using Scientific Notebook, a computer algebra system. A unit on the mathematics of finance will also be covered, along with selected topics that may include fractals, chaos, cryptography, or conics. Prerequisite: MATH 147.

MATH 220 — Number Theory and Proofs. 3 hours.

An introduction to proofs through the discipline of Number Theory. Topics include: natural numbers, integers, prime factorization, divisibility, congruences, continued fractions, and Diophantine equations. Proof techniques to include deductive proof procedures like direct, indirect, by cases, by contradiction, as well as mathematical induction. Prerequisite: MATH 148 or permission of the instructor.

MATH 241 — Statistics. 4 hours.

An introductory course in statistics with applications from a variety of disciplines. Topics include descriptive statistics, probability, expected value, sampling distributions, estimation, hypotheses testing of means and proportions (one and two sample cases), regression, correlation, chi-square, nonparametric statistics, and an introduction to analysis of variance. Prerequisite: GNST 095 or a Math ACT of 19 or above.

MATH 261 — Calculus III. 4 hours.

A continuation of MATH 148. Analytic geometry and vectors in three dimensions, partial derivatives and applications, multiple integrals, vector calculus, and an introduction to Fourier series. Prerequisite: MATH 148, an AP Calculus BC score of 4 or 5, or consent of the instructor.

MATH 311 — Discrete Mathematics. 3 hours.

An introduction to discrete mathematics, including sets, functions, algorithms, mathematical induction, combinatorics, recurrence relations, graph theory, trees, networks. Prerequisites: MATH 147 and either CSIS 171 or CSIS 251, or consent of instructor.

MATH 330 — Regression and Time Series. 3 hours.

Building on the regression material in MATH 241, this course will include multiple regression, analysis of covariance, time series, forecasting, along with hypothesis and confidence intervals for these models. Prerequisite: MATH 241. Offered in alternate years.

MATH 340 — Financial Mathematics. 3 hours.

Provide an understanding of the fundamental concepts of financial mathematics including interest, yield rates, present and accumulated values, annuities, loans, and bonds. Discrete and continuous rates will be covered. Prerequisite: MATH 148, 151, and BSNS 460. Offered in alternate years.

MATH 351 — Linear Algebra. 3 hours.

This course covers the fundamentals of linear algebra, including systems of linear equations, matrices, determinants, vectors and vector spaces (linear independence, basis, dimension, inner-product spaces, orthonormal bases), linear transformations, eigenvalues and eigenvectors. Prerequisite: MATH 148 or consent of instructor.

MATH 354 — Numerical Analysis. 3 hours.

The field of numerical analysis deals with mathematical theory, which leads to algorithms for solving various types of applied problems. The algorithms are generally highly computational and require a calculator and/or a computer for their execution. Topics include partial summing of infinite series, solution of nonlinear equations, systems of nonlinear and linear equations, numerical integration and differentiation, linear and multiple regression, and the numerical solution of differential equations. Offered in alternate years. Prerequisites: MATH 261, MATH 351, and CSIS 171 or CSIS 251 or consent of instructor.

MATH 357 — Differential Equations. 3 hours.

An introduction to differential equations with an emphasis on solving differential equations. Topics include first-order equations, linear differential equations, inverse differential operators, the LaPlace transform, nonlinear equations, and power series solutions. Prerequisite: MATH 261 or consent of instructor.

MATH 373 — Foundations of Mathematics. 3 hours.

A consideration of the origin, history, literature, and nature of mathematics. Possible topics include Euclid's Elements, development of non-Eudlidean geometries, Hilbert's postulates for geometry, algebraic structure, the modern mathematical method, number systems, sets, logic, and philosophy. Corequisite: MATH 220.

MATH 410 — Introduction to Real Analysis. 3 hours.

A careful study of the properties of the real number system. Topics include order properties, completeness, limits, sequences, continuity, uniform continuity, theory of derivatives, and the Riemann integral. Offered in alternate years. Prerequisites: MATH 220, 261.

MATH 430 — Abstract Algebra. 3 hours.

A study of the fundamental structures of algebra, including groups, rings, integral domains, fields, isomorphisms, homomorphisms, and quotient structures. Offered in alternate years. Prerequisite: MATH 220; corequisite: MATH 351.

MATH 450 — Senior Seminar in Mathematics. 1 hour.

A capstone course for the Mathematics major involving a variety of selected problems. Students will work on individual projects which will be presented to the class. This course is only open to majors in the Department of Mathematics and should be taken during the student's last available fall semester. Offered each fall.

MATH 455 — Modern College Geometry. 3 hours.

A study of Euclidean geometry with Hilbert’s axioms and projective geometry, including duality, harmonic sequences, transformations, and analytic projective geometry. Offered in alternate years. Corequisite: MATH 351. Prerequisite: MATH 220.

MATH 465 — Probability and Mathematical Statistics. 3 hours.

Continuous probability spaces, density and distribution functions, random variables, expectations, variance, independence, conditional distributions, random sampling, law of large numbers, estimation of parameters, central limit theorem, hypothesis testing, moment-generating functions, regression. Offered in alternate years. Prerequisites: MATH 241, 261.

MATH 491 — Topics in Mathematics. 1-4 hours.

Selected topics in mathematics to provide opportunity for individual attention to areas of special interest. Prerequisite: consent of the instructor.

MATH 499 — Middle School Math Methods. 3 hours.

A consideration of the problems, materials, methods, and activities involved in the teaching of math for the middle school student. A practicum experience in a public school setting is included.