Mathematics Course Descriptions

MATH 102. Plane Trigonometry
Trigonometry functions and graphs, identities and equations, solving triangles, vectors, polar coordinates, De Moivre’s Theorem.
Prerequisites: MATH 120 or Math Enhanced ACT score of 23 or above or permission of instructor.

MATH 103. Problem Solving and Number Sense
Estimation, problem solving, sets, whole and rational number operations and properties, the set of integers, elementary number theory.
Prerequisites: ACT MATH 19+ or equivalent.

MATH 103E. Problem Solving and Number Sense
Estimation, problem solving, sets, whole and rational number operations and properties, the set of integers, elementary number theory.
Prerequisites: In addition, students must fulfill the associated lab component requirements.

MATH 104. Algebra, Statistics, and Probability
Rational numbers, percent, probability, statistics, algebraic methods and problem solving, with reference to the NCTM standards.
Prerequisites: MATH 103.

MATH 105. Geometry and Measurement
Geometry, measurement, transformations, coordinates, with reference to the NCTM standards. Prerequisites: MATH 103.

MATH 111. Mathematics for Liberal Arts
Problem solving, number systems, logic, consumer math, basic algebra and geometry, basic probability and statistics.
Prerequisites: ACT MATH 19+ or equivalent.

MATH 111E. Mathematics for Liberal Arts
Problem solving, number systems, logic, consumer math, basic algebra and geometry, basic probability and statistics.
Prerequisites: In addition, students must fulfill the associated lab component requirements.

MATH 118. College Algebra with Business Applications
Linear and quadratic equations; radical expressions; polynomial, rational, exponential and logarithmic functions; systems of linear equations; matrices; linear programming; input/output models; applications to business and economics.
Prerequisites: ACT MATH 19+ or equivalent.

MATH 118E. College Algebra with Business Applications
Linear and quadratic equations; radical expressions; polynomial, rational, exponential and logarithmic functions; systems of linear equations; matrices; linear programming; input/output models; applications to business and economics.
Prerequisites: In addition, students must fulfill the associated lab component requirements.

MATH 119. Algebraic Methods
Quadratic equations, radical expressions, complex numbers, systems of linear equations, graphs of functions, exponentials and logarithms.
Prerequisites: ACT MATH 19+ or equivalent.

MATH 119E. Algebraic Methods
Quadratic equations, radical expressions, complex numbers, systems of linear equations, graphs of functions, exponentials and logarithms.
Prerequisites: In addition, students must fulfill the associated lab component requirements.

MATH 120. College Algebra
Equations and inequalities, functions, systems of equations and inequalities, graphing, rational expressions, radical expressions, and applications of the above.
Prerequisites: MATH 119 or ACT MATH 21+ or equivalent.

MATH 121. Pre-Calculus (4 credit hours)
Properties and applications of algebraic and transcendental functions, angles, trigonometric ratios and identities, conic sections, polar coordinates, systems of equations, matrices.
Prerequisites: a grade of C or better in MATH 120, or ACT MATH 23+ or equivalent.

MATH 150. Introduction to LaTeX (1 credit hour)
Typesetting scientific and technical documents.
Prerequisites: MATH 206, or concurrent enrollment in MATH 206, or permission of the instructor.

MATH 205. Discrete Mathematics
The basic non-calculus mathematics for computer science in the areas of algebra, logic, combinations and graph theory.
Prerequisites: MATH 120 and CS 101.

MATH 206. Analytic Geometry and Calculus I (4 credit hours)
One- and two-dimensional analytic geometry, functions, limits, continuity, the derivative and its applications, maxima and minima, concavity, Newton’s Method, integration, area, Fundamental Theorem of Calculus, numerical integration, transcendental functions.
Prerequisites: MATH 120 and 102 or MATH 121.

MATH 207. Analytic Geometry and Calculus II (4 credit hours)
Applications of integration, techniques of integration, improper integrals, sequences and series, Taylor’s series, parametric equations, polar coordinates, conic sections.
Prerequisites: MATH 206.

MATH 208. Analytic Geometry and Calculus III (4 credit hours)
Vectors, lines and planes in space, quadric surfaces, cylindrical and spherical coordinates, vector calculus, multivariable functions, partial differentiation and gradients, constrained and unconstrained optimization, double and triple integrals, volume, centroids, moments of inertia, line integrals.
Prerequisites: MATH 207.

MATH 222. Elementary Statistics for Math and Natural Science
Descriptive statistics, probability distributions, experiment design and sampling, confidence intervals, hypothesis testing. Statistical software packages will be used.
Prerequisites: C or better in MATH 120 or ACT MATH 23+ or equivalent, or permission of instructor.

MATH 251. Introduction to Computational Science
The modeling process, simple dynamic models, models with interactions, computational error, simulation techniques, aggregate and agent-based models.
Prerequisites: MATH 207

MATH 299. Special Topics (1-3 credit hours)
Televised courses or other courses designed for special purposes.

MATH 300. Introduction to College Geometry
Advanced topics in the geometry of triangles, transformations (dilatations, similitude and inversion), foundations of geometry, theorems of Ceva and Menelaus, Desargues’ configuration and duality.
Prerequisites: MATH 207.

MATH 307. Linear Algebra
Vector spaces, linear transformations, inner products, orthonormality, eigenvalue problems, system of linear equations, matrices, determinants; application.
Prerequisites: MATH 207.

MATH 308. Introduction to Modern Abstract Algebra
Axiomatic development of rings, integral domains, fields, polynomials, complex numbers, group theory, isomorphism.
Prerequisites: MATH 208.

MATH 309. Introduction to the History of Mathematics
The history of mathematics from the earliest times until the 18th century, as developed in Egypt, India, China, Greece and Europe.
Prerequisites: MATH 205 and 20

MATH 310. Elementary Number Theory
Induction, well-ordering principle, Euclidean Algorithm, Chinese Remainder Theorem, Fermat’s and Wilson’s Theorems, prime numbers, multiplicative functions, quadratic reciprocity, sum of squares, Diophantine Equations, Fermat’s Last Theorem, cryptology.
Prerequisites: MATH 205 and MATH 207.

MATH 315. Introduction to Complex Variables
Limits, continuity and differentiation of complex functions, analytic functions, Cauchy Riemann Equations, integration, contours, Cauchy’s Integral Formula, Taylor series and Cauchy’s Residue Theorem.
Prerequisites: MATH 208.

MATH 317. Mathematics for Teaching
Materials and methods for teaching mathematics in elementary school.
Prerequisites: EDUC 316 and MATH 104 and 105.

MATH 355. Fundamentals of Data Science (4 credit hours)
Data cleaning, filtering andtransformations and application ofmachine learning principles, regression, clustering, classification, pattern discovery, Bayesian inference, dimensionality reduction, datascience careers, application ofdata science.
Prerequisite(s): MATH 222 andCS 116 or CS 336.

MATH 399. Special Topics (1-3 credit hours)
A junior-level course designed for a topic of special current interest, including televised courses.
Prerequisites: As stated for each offering.

MATH 401. Introduction to Vector Analysis
Vector algebra, derivatives, space curves, line and surface integrals, transformation of coordinates, directional derivative, divergence and Stokes’ theorem; applications.
Prerequisites: MATH 208.

MATH 402. Differential Equations I
The types and solutions of differential equations of the first and second order. Solutions of differential equations and the application of physics and mechanics.
Prerequisites: MATH 208.

MATH 403. Introduction to Probability
Discrete and continuous probability models, random variables, estimation of parameters, moments, conditional probability, independence, central limit theorem, sampling distributions.
Prerequisites: MATH 208 and 222.

MATH 404. Numerical Analysis
Numerical solution of linear and non-linear algebraic equations and eigenvalue problems, curve fitting, interpolation theory, numerical integration, differentiation and solution of differential equations, algorithms and computer programming.
Prerequisites: MATH 208 and one programming language.

MATH 405. Differential Equations II
Laplace transform series solutions, Bessel and Legendre equations, systems of equations, existence theorems and numerical methods.
Prerequisites: MATH 402.

MATH 406. Mathematics Statistics
Decision theory, confidence intervals, hypothesis testing, multiple linear regression, correlations, analysis of variance, covariance, goodness of fit tests, non-parametric tests.
Prerequisites: MATH 403.

MATH 407. Introduction to Topology
Set theory, cardinal numbers, orderings, continuity, homeomorphisms, convergence, separation, compactness, connectedness, completeness; topological, metric, regular, normal and Hausdorff spaces.
Prerequisites: MATH 208.

MATH 408. Senior Mathematics Seminar (2 credit hours)
Integrates the work completed in the various courses. Reading and research oriented. To be taken in one of the last two semesters prior to graduation.

MATH 409. Advanced Calculus I
Functions of several variables, vector functions, gradient, partial differentiation, directional derivative, multiple integrals, maxima and minima, improper integrals, line and surface integrals, divergences and Stokes’ theorem.
Prerequisites: MATH 208.

MATH 410. Advanced Calculus II
Convergence of infinite series, uniform convergence, Taylor’s series, Fourier series, ordinary and partial differential equations; functions of a complex variable including integrals, power series, residues and poles, conformal mapping.
Prerequisites: MATH 409.

MATH 411. Teaching of Mathematics in Secondary and Middle Schools
Review of the fundamental operations as applied to integers, fractions, and decimals; objective, methods, and materials of instruction of mathematics, lesson and unit planning, classroom procedure in teaching mathematics, and use of mathematics laboratory.
Prerequisites: EDUC 316, MATH 205, and MATH 300.

MATH 415. Differential Equations for Science and Engineering (4 credit hours)
Ordinary differential equations, series solutions, Laplace transforms, systems of differential equations, Fourier series, partial differential equations, applications.
Prerequisites: MATH 208.

MATH 435. Applied Regression and Time Series
Simple and multiple linear regression, elementary time-series models, auto-regressive and moving –average models, fitting models to data, evaluating models and interpreting results.
Prerequisites: MATH 406

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