# Mathematics (MATH)

### Courses

**MATH 1103 Contemporary College Algebra: 3 semester hours.**

Intended for Non STEM (Science, Technology, Engineering, and Mathematics) majors. Topics include introductory treatments of sets and logic, financial mathematics, probability and statistics with appropriate applications. Number sense, proportional reasoning, estimation, technology, and communication should be embedded throughout the course. Additional topics may be covered.

Co-requisite: MATH 0300.

**MATH 1113 College Algebra: 3 semester hours.**

Linear and quadratic equations, inequalities, functions (quadratic, polynomials, and rational) and graphs of functions, exponential and logarithmic functions, systems of linear equations. Cannot receive credit for both MATH 1103 and MATH 1113. **(MATH 1314)** Transfer equivalent from Texas Community/Junior Colleges. (Prerequisite: Student must have TSIA math score of 350. In the case the student has a TSIA math score of 347-349, he/she must enroll in MATH 0300, as corequisite.

**MATH 1115 College Algebra and Trigonometry: 5 semester hours.**

A basic course in mathematics for students needing additional pre-calculus skills, including college algebra and trigonometry. Topics included are linear, quadratic, and higher degree polynomial functions and identities, determinants and systems of linear equations, inverse trigonometric functions, and trigonometric equations.

**MATH 1123 Trigonometry: 3 semester hours.**

Trigonometric functions, radian, logarithms, functions of composite angles, and identities; and trigonometric equations.

Prerequisites: MATH 1113.

**MATH 1124 Calculus with Analytic Geometry I: 4 semester hours.**

Functions and graphs, limits and continuity, derivatives of functions, Mean Value Theorem, applications of derivatives. Fundamental Theorem of Calculus and applications of integrals.

Prerequisites: (MATH 1113 and MATH 1123) or MATH 1115.

**MATH 1153 Finite Mathematics: 3 semester hours.**

Linear equations and applications, linear forms and system of equations, matrix algebra and applications, linear programming (linear and simplex method), probability and applications, statistics.

Prerequisites: MATH 1113 or MATH 1103 or MATH 1115.

**MATH 2003 Elementary Statistics: 3 semester hours.**

An introduction to the concepts and methods of statistics, topics including probability, random variables, binomial and normal distributions, random sampling, statistical inference, estimation, testing hypothesis, linear regresions and correlation, problem solving, chi-sqaure test and categorical data, and analysis of variance.

Prerequisites: MATH 1113 or MATH 1103 or MATH 1115.

**MATH 2024 Calculus with Analytic Geometry II: 4 semester hours.**

Applications of integrals, integration techniques, inverse functions, indeterminate forms, improper integrals, parametric equations, polar coordinates, infinite series, power series, Taylor series.

Prerequisites: MATH 1124.

**MATH 2043 Differential Equations: 3 semester hours.**

Ordinary differential equations with emphasis on first-order linear and higher order ordinary differential equations with constant coefficients and some non-constant coefficients. Applications.

Prerequisites: MATH 2024.

**MATH 2053 Discrete Mathematics: 3 semester hours.**

Designed to provide a bridge between computational mathematics and theoretical mathematics. Topics include induction and recursion, combinatorics, graph theory functions, proofs and logic.

Prerequisites: MATH 1124.

**MATH 2153 Calculus-Business, Life and Social Sciences: 3 semester hours.**

Derivatives, Curving, Sketching, and optimization techniques for differentiation. Logarithms and Exponential Functions with applications, Integral Techniques and application of integrals, Techniques and application of integrals, Multivariate Calculus.

Prerequisites: MATH 1153.

**MATH 2163 Structure of Number System: 3 semester hours.**

A logical approach to elementary mathematics, with emphasis on the powers and techniques of the axiomatic approach in mathematics. Topics include sets, logic, number theory, equivalence relations and mathematical proofs in developing the characteristics of number systems.

Prerequisites: MATH 1113 or MATH 1103.

**MATH 2183 Informal Geometry: 3 semester hours.**

A brief development of finite geometric systems from an advanced standpoint, with attention given to intuition and didactics. Topics include deductive reasoning, metric and non-metric geometry, transformational geometry, topological notions, graphs, and networks.

Prerequisites: MATH 1113 or MATH 1103.

**MATH 3003 Mathematics in Elementary Schools: 3 semester hours.**

A conceptual approach to introducing mathematics concepts and the integrating of content, pedagogy and assessment which include treatments of the nature of selective pre-algebra and discrete topics and the use of EC-4/4-8 TEKS Standards V-VI.

Prerequisites: MATH 2163.

**MATH 3013 Modern Algebra: 3 semester hours.**

Number theory, groups, rings, integral domains, and fields.

Prerequisites: MATH 2053.

**MATH 3014 Calculus III: 4 semester hours.**

Calculus of functions of several variables, calculus of vector valued functions, partial differentiation, multiple integrals.

Prerequisites: MATH 2024.

**MATH 3023 Probability and Statistics: 3 semester hours.**

Counting problems, probability theory infinite sample spaces, random numbers and their usage, random variables, expectations, means, variances, binomial and normal distributions, random walk problems, point estimation, confidence limits, hypothesis testing, applications of Bayes' Theorem, sums of independent random variables, law of large numbers, and central limit theorem.

Prerequisites: MATH 2024.

**MATH 3073 Linear Algebra: 3 semester hours.**

Systems of linear equations, matrices, real vector spaces, linear transformations, change of bases, determinants, eigenvalues and eigenvectors, diagonalization and inner product spaces.

Prerequisites: MATH 2024.

**MATH 3103 History of Mathematics: 3 semester hours.**

The development of mathematical thought from ancient time to the present. Contributions by the great Greek, Roman, and German mathematicians, as well as by others.

Prerequisites: MATH 1124 or MATH 2153.

**MATH 3163 Mathematics Understanding: 3 semester hours.**

Basic concepts underlying algebra, geometry, trigonometry and calculus, mathematics problem solving and critical thinking assessments, mathematical concepts leading to vertically connected tasks that demonstrate how to build and connect mathematics tasks across teacher certification EC-6 and 4-8.

Prerequisites: MATH 2163.

**MATH 3613 Intro Biostatistics: 3 semester hours.**

Descriptive statistics, data presentation, counting techniques, probability theory concepts, application of Bayes' theorem, random numbers, random variables, discrete and continuous random variables, binomial distribution, Poisson distribution, multinomial distribution, normal distribution, exponential distribution, lognormal distribution, the central limit theorem, covariance, correlation, point and internal estimation, hypothesis testing, p-values, simple linear regression, analysis of categorical data, applications in biology and biomedicine.

Prerequisites: MATH 1124.

**MATH 3685 Math for Engineers: 5 semester hours.**

Matrices are determinants, Vector Spaces, Eigenvalues and Eigenvectors, Power Series, Laplace Transform, Fourier Series and Orthogonal Functions; Multivariate Functions: Sample Space, Random Variables, Probability Distributions, Moments of a Random Variable, Sum of Independent Variables, Conditional Probability, Law of Large Numbers, Central limit Theorem, Inference Concerning Means, Variances and proportions, Analysis of Variance, Statistical Content of Quality Improvement Programs, Reliability, Probalistic Description of Stochastic Processes, Poisson Process, Simple Queuing Models in Engineering.

Prerequisites: MATH 2043.

**MATH 3995 Independent Study: 1-5 semester hour.**

Reading, research, and or field work on seleted topics.

**MATH 4001 Mathematics Colloquium: 1 semester hour.**

Detailed reports on selected topics in both theoretical and applied mathematics. Mathematics majors are required to report individually on at least one topic of a moderate degree of difficulty as a demonstration of their resourcefulness, ability, and achievement in the field of mathematics.

**MATH 4003 Mathematics Modeling and Applications: 3 semester hours.**

Models for teaching and learning mathematics, which includes an integration of content, problem solving strategies, real world applications and use of technology.

Prerequisites: MATH 1123.

**MATH 4053 Mathematics Teaching Capstone Course: 3 semester hours.**

The course summarizes, evaluates and integrates college mathematics experiences and provides reviews of mathematical skills. Students must demonstrate that they have mastered their academic program goals.

**MATH 4063 Numerical Analysis: 3 semester hours.**

Linear and nonlinear systems, matrix inversions and eigenvalues, polynomial approximations, quadrature interpolation, least square, finite differences, including analyses of algorithms and solutions utilizing numerical methods.

Prerequisites: MATH 3073 and COMP 1013.

**MATH 4083 Advanced Calculus I: 3 semester hours.**

Number sequences, limits, sequential functions, properties of continuous functions, and mean value theorem and Riemann Integral.

Prerequisites: MATH 2043 and MATH 3014.

**MATH 4173 Advanced Math for Engineers: 3 semester hours.**

Matrices and determinants, vector spaces, systems of linear equations, eigenvalues and eigenvectors; power series, LaPlace transforms, Fourier series and orthogonal functions, numerical solutions to ordinary differential equations.

**MATH 4893 Mathematics Capstone Course: 3 semester hours.**

This course is designed to ascertain that the mathematics major is proficient in the majority of the major requirements such as the Calculus sequence. Differential Equations, Linear Algebra, Abstract/Modern Algebra, Advanced Calculus, Probability, Statistics, and Numerical Analysis. Students will participate in class discussion, write summaries of readings, do group solving, give oral presentations, submit mini projects and complete a major project. This course will provide an integrated experience of the student's program. Its intensity will enhance the student's chances of success in the required major field test.

**MATH 4995 Independent Study: 1-5 semester hour.**

Reading, research, and/or field work on selected topics.

**MATH 5993 Independent Study: 3 semester hours.**

Course description will vary according to course chosen for independent study.