MATH | 101 | MATH | 1014 and 1024 and 1032 and 1016 and 1042 | INTERDISCIPLINARY MATH-NCB | This is a lab session |
MATH | 132 | MATH | 1332 | CONTEMPORAY MATHEMATICS I | Mathematics for Liberal Arts is a course designed for liberal and fine arts, non-mathematics, non- science, and non-business majors. It will provide knowledge of the nature of mathematics as well as training in mathematical thinking and problem solving. Topics may include logic and mathematics reasoning, sets, problem solving, applications, networks, graphs, probability, statistics, geometry, mathematics of finance, and number theory. Three hours of lecture per week. Credit may be received for only one of MATH 132, MATH 133, or MATH 135. Prerequisite: MATH 131 or a passing score on the mathematics portion of the TSI Assessment. Listed as MATH 1332 in the Texas Common Course Numbering System. |
MATH | 133 | MATH | 1314 | COLLEGE ALGEBRA | Concise overview of functions and their graphs including linear, quadratic, polynomial, rational, exponential, logarithmic functions and their applications, and solving equations, inequalities and system of equations. Three hours of lecture per week. Prerequisite: MATH 131 or a passing score on the mathematics portion of the TSI Assessment Examination. Listed as MATH 1314 in the Texas Common Course Numbering System. |
MATH | 134 | MATH | 1316 | PLANE TRIGONOMETRY | Definitions and relations of the six trigonometric functions, proofs of formulas, solutions of triangles, trigonometric identities and equations, inverse trigonometric functions, vectors, and applications related to these topics. Three hours of lecture per week. Prerequisite: MATH 133. Listed as MATH 1316 in the Texas Common Course Numbering System. |
MATH | 135 | MATH | 1324 | MATH BUS & ECON ANALYSIS I | Topics from college algebra (linear equations, quadratic equations, functions and graphs, inequalities), mathematics of finance (simple and compound interest, annuities), linear programming, matrices, systems of linear equations, applications to management, economics, and business. Credit may be received for only one of MATH 132, MATH 133, or MATH 135. Prerequisite: MATH 131 or a passing score on the mathematics ortion of the TSI Assessment. (The content level of MATH 135 is expected to be at or above the level of college algebra, MATH 133.) Listed as MATH 1324 in the Texas Common Course Numbering System. |
MATH | 136 | MATH | 2312 | PRECALCULUS MATH | Designed to prepare students for the study of MATH 241. Elementary functions that are differentiated and integrated in calculus are stressed, including polynomial, rational, algebraic, exponential, logarithmic, and trigonometric functions. Three hours of lecture per week. Prerequisite: MATH 133 or by department consent. Listed as MATH 2312 in the Texas Common Course Numbering System. |
MATH | 138 | MATH | 1325 | MATH BUS & ECON ANALYSIS II | Limits and continuity, derivatives, graphing and optimization, exponential and logarithmic functions, antiderivatives, integration, applications to management, economics, and business. Prerequisite: MATH 135 or by department consent. (The content level of MATH 138 is expected to be below the content level of Calculus I, MATH 241.) Listed as MATH 1325 in the Texas Common Course Numbering System. |
MATH | 2305 | MATH | 2305 | Discrete Mathematics | A course designed to prepare math, computer science, and engineering majors for a background in abstraction, notation, and critical thinking for the mathematics most directly related to computer science. Topics include: logic, relations, functions, basic set theory, countability and counting arguments, proof techniques, mathematical induction, combinatorics, discrete probability, recursion, sequence and recurrence, elementary number theory, graph theory, and mathematical proof techniques. |
MATH | 231 | MATH | 1342 | ELEMENTARY STATISTICS | Basic statistics topics presented for students planning to work in health-related fields. Three hours of lecture per week. Prerequisite: MATH 133. Listed as MATH 1342 in the Texas Common Course Numbering System. |
MATH | 232 | MATH | 2332 | SOFTWARE SCIENTIFIC COMPUTING | This course mainly focuses on R programming with an introduction to elementary statistics. R is a programming language and environment for statistical computing and graphing. It is becoming increasingly popular among both industry and academia due to its free access and powerful computing ability. This course will introduce students to (1) basic programming skill, (2) basic knowledge of statistics (3) use R to display and obtain statistics of data. The goal of the course is to get students gain working knowledge to analyze using R. This course will also briefly introduce another widely used software: Matlab, which is used both in academia and industry. |
MATH | 235 | MATH | 1350 | STR & APP OF NUMB SYS | Sets, functions, logic, numeration theory, advanced definition perspectives, arithmetic operations (properties and algorithms), rational numbers, system of real numbers, and mathematical applications. Problem solving emphasized. Three hours of lecture per week. Prerequisite: MATH 133. |
MATH | 236 | MATH | 1351 | FND OF GEOM STAT &PROB | Basic concepts and methods of probability, statistics, and geometry, including discrete probability, random events, and conditional probability. Analysis of data, informational display, measurement, and geometry (as approached through similarity and congruence, coordinates, and transformations). Problem solving is emphasized. Three hours of lecture per week. Prerequisite: MATH 235. |
MATH | 241 | MATH | 2413 | CALCULUS & ANALYTIC GEOMTRY I | Inequalities, functions, graphs, straight lines, linear equations, limits, continuity, differentiation, maximum-minimum problems, mean value theorem, related rates, and indefinite integrals. Four hours of lecture per week. Prerequisites: MATH 133 and MATH 134 or MATH 136 or departmental consent. Listed as MATH 2413 in the Texas Common Course Numbering System. |
MATH | 242 | MATH | 2414 | CALCULUS & ANALYTIC GEOMTRY II | Definite and indefinite integrals, techniques of integration, transcendental functions, and applications of the definite integral. Four hours of lecture per week. Prerequisite: MATH 241. Listed as MATH 2414 in the Texas Common Course Numbering System. |
MATH | 243 | MATH | 2415 | CALCULUS & ANALYTICAL GEO III | Sequences, infinite series, conic sections, polar coordinates, two-dimensional and three-dimensional vectors, parametric equations, partial differentiation, and multiple integrals. Four hours of lecture per week. Prerequisite: MATH 242. |
MATH | 250 | MATH | 2318 | LINEAR ALGEBRA | A first course in linear algebra designed to provide a minimal foundation in matrix theory, vector spaces, determinants, and linear transformations. Three hours of lecture per week. Prerequisite: MATH 241. |
MATH | 251 | MATH | 2320 | DIFFERENTIAL EQUATIONS | Important methods of solution of ordinary differential equations of the first order and of higher orders with applications to geometry and physics. Three hours of lecture per week. Prerequisites: MATH 242 and MATH 243. (MATH 243 may be taken concurrently.) |
MATH | 252 | MATH | 2352 | INTRO TO OPERATIONS RESEARCH | Problems on how to use limited resource in an optimal way are ubiquitous. Operation research provides tools for modeling and analysis of such problems. This course gives a survey on operation research field. Namely, it introduces the simplex method of linear programming, decision analysis, queueing theory and inventory theory. |
MATH | 331 | MATH | 3331 | FOUNDATIONS OF MATHEMATICS | Transitional mathematics course toward the study of advanced mathematics. Various topics in the foundations of mathematics discussed. Three hours of lecture per week. Prerequisite: MATH 241. |
MATH | 332 | MATH | 3332 | INTRODUCTION TO GRAPH THEORY | Logic and postulates relating to geometries. Modern plane geometry as developed from Euclidean geometry, measurement, and metric system. Properties of geometric figures, congruence, theory of parallel lines, and noneuclidian geometry. Three hours of lecture per week. Prerequisite: MATH 241. |
MATH | 335 | MATH | 3335 | FOUNDATIONS OF GEOMETRY | Foundations of Geometry (3) Logic and postulates relating to geometries.Modern plan geometry as developed from Euclidean geometry,measurement, and metric system. Properties of geometric figures,congruence, theory of parallel lines, and noneuclidian geometry. Threehours of lecture per week. Prerequisite: MATH 241. |
MATH | 336 | MATH | 3336 | INTRODUCTION: ABSTRACT ALGEBRA | Introduction to mathematical systems such as groups, rings, and fields. Three hours of lecture per week. Prerequisites: MATH 243 and MATH 331. |
MATH | 3338 | MATH | 3338 | Introduction to Probabiliy | This course introduces probability, which forms the foundation for understanding statistics, randomness and uncertainty. More specifically, this course covers discrete and continuous probability distributions, random variables and their distributions, cumulative distribution functions, density functions, expectation, variance and covariance. Independence of events and random variables are also discussed. R will be used throughout the course. |
MATH | 3339 | STAT | 3339 | Statistics For Science | This course introduces graphical and descriptive methods in statistics, probability and distributions, sampling, estimation, hypothesis testing, regression, analysis of variance, exploratory and diagnostic methods. R programming will be used throughout the course. |
MATH | 345 | MATH | 3345 | APPL MATH/STATS SCI/ENGINEERS | Selected topics in applied differential equations (including transform techniques), linear programming, numerical methods, and statistics with emphasis on applications to the solution of problems in technology. Three hours of lecture per week. Prerequisite: MATH 242. |
MATH | 376 | MATH | 3376 | APPLIED MATHEMATICAL ANALYSIS | Vector analysis; algebra and geometry of vectors; vector differential and integral calculus; theorems of Green, Gauss, and Stokes. Three hours of lecture per week. Prerequisite: MATH 243. |
MATH | 430 | MATH | 4388 | THE HISTORY OF MATHEMATICS | General view of the development of the elementary branches of mathematics; growth of higher mathematics in the eighteenth and nineteenth centuries. Three hours of lecture per week. Prerequisite: Twelve credits of college mathematics |
MATH | 431 | MATH | 4361 | SOFTWARE: SCIENTIFIC COMPUTING | This course introduces three pieces of scientific computing software that are widely used in industry and universities: Matlab, R Programmaing and Mathematica. |
MATH | 439 | MATH | 4331 | INTRODUCTION TO ANALYSIS | The real number system; elementary point set theory; sequences and series; continuity; differentiation and integration. Three hours of lecture per week. Prerequisites: MATH 243 and MATH 331. |
MATH | 460 | MATH | 4333 | INTRODUCTION COMPLEX ANALYSIS | Complex numbers and complex geometry; limits, continuity, derivatives, and the Cauchy-Riemann equations; analytic and harmonic functions; Cauchyâs Integral Theorem and its consequences. Three hours of lecture per week. Prerequisites: MATH 243 and MATH 331. |
MATH | 461 | MATH | 4338 | INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS | Linear Operators: Linear first order equations; the wave equation; the heat equation; Laplace’s Equation; Green’s Function and Sturm-Liouville problems; Fourier Series; Numerical Solutions. Three hours of lecture per week. Prerequisite: MATH 251. |
MATH | 462 | MATH | 4336 | INTRODUCTION TO TOPOLOGY | Topics include metric spaces, connectedness, and compactness. The topology of Euclidean spaces discussed in detail as well as its generalization to nonmetric topological spaces. Three hours of lecture per week. Prerequisites: MATH 243 and MATH 331. |
MATH | 463 | MATH | 4363 | INTRODUCTION TO NUMERICAL ANALYSIS | Computer Arithmetic and associated error analysis. Solution of non linear equations. Interpolation and approximation methods. Numerical differentiation and integration. Initial value problems for ordinary differential equations. Three hours of lecture. Prerequisite: MATH 242. |
MATH | 465 | MATH | 4322 | Introduction Data Science and Machine Learning | This course introduces theory and applications for statistics learning techniques including linear and logistic regression, classification and regression trees, random forests and neural networks. R programming will be used throughout the course. |
MATH | 466 | MATH | 4323 | Introduction to Statistics Learning | This course introduces theory and applications for statistics learning techniques including maximal marginal classifiers, support vector machines, K-means and hierarchical clustering, and resampling methods. R programming will be used throughout the course. |
MATH | 467 | STAT | 4360 | Introduction to biostatistics with R | This course is intended as comprehensive concepts-centric biostatistics primer. Those who complete the course will be able to read and respond to the scientific literature, including the Methods and Results sections, biological science, and related fields. Successful learners will also be prepared to participate as part of a research team in biological science and related fields. |
MATH | 471 | MATH | 4371 | TOPICS IN MATH I | New developments and trends in mathematics discussed. Three hours of lecture per week. Prerequisite: Consent of the instructor. |
MATH | 473 | STAT | 4373 | PROBABILITY & STATISTICS I | Introduction to probability and statistical inference making use of the calculus developed in MATH 241 and MATH 242. Three hours of lecture per week. Prerequisite: MATH 242. |
MATH | 475 | MATH | 4375 | INTRODUCTION TO MODERN ALGEBRA | Group theory; Lagrange’s Theorem; Isomorphism Theorem; Cayley’s Theorem; rings and fields. Three hours of lecture per week. Prerequisite: MATH 336 or consent of the instructor. |
MATH | 490 | MATH | 4390 | INDEPENDENT STUDY UNDERGRAD | Intensive study of a topic in mathematics under the direction of a faculty member. Prerequisites: Senior standing and consent of the instructor. |
MATH | 499 | MATH | 4399 | SEMINAR | Various topics in mathematics discussed. Three hours of lecture per week. ( Prerequisite: Consent of the instructor) |