Undergraduate Mathematics Courses
The Program of Mathematics at 51AV A&M University offers a wide range of courses. For the most accurate and up-to-date list of undergraduate math courses, please refer to the most recent undergraduate bulletin.
Undergradaute Course Schedule
This table lists undergraduate mathematics courses at the University and the semester that they are typically offered; however, course offerings are highly dependent on current student needs. Classes may be added or canceled as needed. Refer to the Dynamic Schedule on Self-Service Banner for the most up-to-date scheduling.
| Course Code | Course Name | Fall | Spring | Summer | As Needed |
| MTH 010 | Developmental Mathematics | X | X | ||
| MTH 011 | Fundamentals of Mathematics | X | X | X | |
| MTH 012 | Intermediate Algebra | X | X | X | |
| MTH 013 | Modern Mathematics | X | |||
| MTH 109 | Quantatitive Reasoning | X | X | ||
| MTH 110 | Finite Mathematics | X | X | X | |
| MTH 111 | Elementary Statistics | X | X | ||
| MTH 112 | Pre–Calculus Algebra | X | X | X | |
| MTH 112E | Pre–Calculus Algebra with Lab | X | X | X | |
| MTH 113 | Pre–Calculus Trigonometry | X | X | X | |
| MTH 115 | Pre–Calculus Algebra and Trignometry | X | X | X | |
| MTH 120 | Calculus and Its Applications | X | X | X | |
| MTH 125 | Calculus I | X | X | X | |
| MTH 126 | Calculus II | X | X | X | |
| MTH 145 | Calculus I Honors | X | |||
| MTH 146 | Calculus II Honors | X | |||
| MTH 200 | Mathematical Computations | X | |||
| MTH 227 | Calculus III | X | X | X | |
| MTH 235 | Mathematics for Elementary Teachers | X | X | ||
| MTH 237 | Introduction to Linear Algebra | X | X | ||
| MTH 238 | Applied Differential Equations | X | X | ||
| MTH 301 | Abstract Algebra I | X | |||
| MTH 302 | Abstract Algebra II | X | |||
|
MTH 303 (PHY 303) |
Methods of Mathematical Physics | X | |||
| MTH 305 | Applied Mathematics | X | |||
| MTH 307 | Geometry | X | |||
| MTH 324 (ST 324) | Elementary Statistics II | X | |||
| MTH 327 (ST 327) | Applied Regression Analysis | X | |||
| MTH 344 (ST 344) | Design and Analysis of Experiments I | X | |||
| MTH 351 | Introduction to Real Analysis I | X | |||
| MTH 352 | Introduction to Real Analysis II | X | |||
| MTH 355 (ST 355) | Applied Statistics | X | |||
| MTH 357 | Computers and the Teaching of Mathematics | X | |||
| MTH 371 | Number Theory | X | |||
| MTH 383 | Numerical Analysis | X | |||
| MTH 401 | History of Mathematics | X | |||
| MTH 431 | Introduction to Graph Theory | X | |||
| MTH 442 | Partial Differential Equations | X | |||
| MTH 444 | Applied Time Series Analysis | X | |||
| MTH 452 | Complex Analysis | X | |||
| MTH 453 | Probability and Statistics | X | X | X | |
| MTH 454 | Advanced Calculus | X | |||
| MTH 473 | Statistics | X | |||
| MTH 480 | Selected Topics in Mathematics | X | |||
| MTH 481 | Senior Project | X | X | ||
| MTH 482 | Independent Study | X |
Courses from Undergraduate Bulletin 2023-24
MTH 010 (Formerly MTH 100) Developmental Mathematics – 3 credit hours. Basic arithmetic, basic algebra and basic geometry concepts. Included in its content are the four fundamental operations involving positive and negative real numbers, rational numbers, and percent; solving linear equations and inequalities; and pertinent application problems. Credit hours for this course may not be counted toward any degree requirement. Placement in this course is determined by performance on a placement test. Prerequisites: None.
MTH 011 (Formerly MTH 101) Fundamentals of Mathematics – 3 credit hours. Graphing and linear systems, exponents and polynomials, factoring, rational expressions, roots and radicals, solving quadratic equations, compound inequalities, linear inequalities in two variables, variation, functions, and pertinent application problems. Credit hours for this course may not be counted toward any degree requirement. Prerequisites: MTH 010 or a satisfactory score on the Mathematics component of the COMPASS. Note: This course cannot be used to satisfy General Education requirements in Areas I-IV.
MTH 012 (Formerly MTH 105) Intermediate Algebra – 3 credit hours. This course covers exponents, roots and radicals, polynomial and rational expressions, functions and graphing, transformations of functions, quadratic and inverse functions, and linear and non-linear systems of equations. Credit hours for this course may not be counted toward any degree requirement. Note: MTH 012 is an intensive intermediate algebra course designed for students in science programs, technology, engineering and mathematics (STEM) degree where MTH 125, Calculus I, is the initial course in their curriculum. This course is designed to prepare students for MTH 115. This course cannot be used to satisfy General Education requirements in Areas I-IV.
MTH 013 (Formerly MTH 107) Modern Mathematics – 3 credit hours. The metric system, sets, base numeration systems, systems of whole numbers, systems of integers, elementary number theory, elementary logic, relations, and functions. Prerequisites: MTH 011 or a satisfactory score on a placement test. Note: This course cannot be used to satisfy General Education requirements in Areas I-IV.
MTH 109 Quantitative Reasoning – 3 credit hours. Topics include introductory treatments of sets and logic, financial mathematics, probability, and statistics with appropriate applications. Number sense, proportional reasoning, estimation, technology, and communications should be embedded throughout the course. This course has been designed for those students whose chosen field of study is a NON-STEM mathematical pathway. If the student's field of study changes to a STEM mathematical pathway, then additional mathematics course work may be required. Prerequisite: None
MTH 110 Finite Mathematics – 3 credit hours. Sets, counting, permutations, combinations, basic probability theory (including Baye’s Theorem), statistical concepts (including binomial distributions and normal distribution), matrices and their applications to Markov chains and decision theory. Additional topics may include symbolic logic, linear models, linear programming, the simplex method and applications. This course is designed for students who are not majoring in science, engineering, commerce, or mathematics. Prerequisites: MTH 011 or satisfactory placement test scores.
MTH 111 Elementary Statistics I – 3 credit hours. Non-Calculus based introduction to statistics, statistical measures of data, statistical description of data, elementary probability, random variables, binomial and normal distributions, estimation, testing hypotheses. This course has been designed for those students whose chosen field of study is a NON-STEM mathematical pathway. If the student's field of study changes to a STEM mathematical pathway, then additional mathematics course work may be required. Prerequisite: None
MTH 112 (Formerly MTH 103) Pre-Calculus Algebra – 3 credit hours. The algebra of polynomial, rational, exponential and logarithmic functions; algebraic equations; linear and quadratic equations; linear and quadratic inequalities; systems of equations and inequalities; and the binomial theorem. Additional topics may include matrices, Cramer’s rule, and mathematical induction. Prerequisites: MTH 011 or a satisfactory score on a placement exam.
MTH 112E Pre-Calculus Algebra with Lab – 4 credit hours (3 clock hour lecture and 1 clock hour lab per week). The algebra of polynomial, rational, exponential and logarithmic functions; algebraic equations; linear and quadratic equations; linear and quadratic inequalities; systems of equations and inequalities; and the binomial theorem. Additional topics may include matrices, Cramer’s rule, and mathematical induction. A quick review of prerequisite materials; graphing and linear systems, exponents and polynomials, factoring, rational expressions, roots and radicals, solving quadratic equations, compound inequalities, linear inequalities in two variables, variation, functions. Students will be required to attend a 1-hour lab each week as part of the course. Prerequisites: MTH 010 or satisfactory score on a placement exam.
MTH 113 (Formerly MTH 104) Pre-Calculus Trigonometry – 3 credit hours. The study of (circular) trigonometric functions; inverse trigonometric functions; trigonometric identities; and trigonometric equations. The course also covers vectors, complex numbers, DeMoivre’s Theorem, and polar coordinates. Additional topics may include conic sections, sequences, and using matrices to solve linear systems. Prerequisites: MTH 112 or a satisfactory score on a placement exam.
MTH 115 Pre-Calculus Algebra and Trigonometry – 4 credit hours. This course covers functions, logarithms and exponentials, trigonometric functions and inverse trigonometric functions, trigonometric identities and equations, vectors, complex numbers, polar coordinates, systems of linear and quadratic equations/inequalities and the binomial theorem. MTH 115 is an intensive pre-calculus preparatory course designed for students in science, technology, engineering, and mathematics (STEM) degree programs where MTH 125, Calculus I, is the initial course of their degree program.
MTH 120 (Formerly MTH 130) Calculus and Its Applications – 3 credit hours. A broad overview of calculus taken primarily by students majoring in commerce and business. The course includes differentiation and integration of algebraic, exponential, and logarithmic functions and applications to business and economics. The course also includes functions of several variables, partial derivatives with applications, LaGrange multipliers, L’Hopital’s rule, and multiple integration with applications. This course does not substitute for MTH 125 or MTH 126. Prerequisites: MTH 112.
MTH 125 (Formerly MTH 171) Calculus I – 4 credit hours. Limits; derivatives of algebraic, trigonometric, exponential, and logarithmic functions; applications of the derivative; differentials; maximum and minimum problems; curve sketching using calculus; and the definite integral and its applications to area. This is the first of three courses in the basic calculus sequence taken primarily by students in science, engineering and mathematics. Prerequisites: MTH 113 or MTH 115 or satisfactory placement test scores for all students except Engineering majors. The prerequisite for Engineering majors is MTH 115.
MTH 126 (Formerly MTH 172) Calculus II – 4 credit hours. Applications of integration including volume, arc length and work; techniques of integration; infinite series; polar coordinates and polar graphs; vectors in the plane and in space, parametric equations; curves in the plane and in space; and lines and planes in space. This is the second of three courses in the basic calculus sequence. Prerequisites: MTH 125 or MTH 145.
MTH 145 (Formerly MTH 171H) Calculus I Honors – 4 credit hours. The content of MTH 125 at an accelerated pace including a major application project. This course covers limits; derivatives of algebraic, trigonometric, exponential, and logarithmic functions; applications of the derivative; differentials; maximum and minimum problems; curve sketching using calculus; and the definite integral and its applications to area. Prerequisites: MTH 113 or satisfactory placement test scores.
MTH 146 (Formerly MTH 172H) Calculus II Honors – 4 credit hours. Content of MTH 126 at an accelerated pace including a major application project. This course covers applications of integration including volume, arc length, and work; techniques of integration; infinite series; polar coordinates and polar graphs; vectors; parametric equations; curves in the plane and in space; and lines and planes in space. Prerequisites: MTH 125 or MTH 145.
MTH 200 Mathematical Computations – 1 credit hour. A comprehensive study of the interrelation of topics from Pre-Calculus Algebra and Trigonometry, Calculus I and II, and Linear Algebra. This course may not be used as a designated Mathematics elective in any degree program; however it may be used to fulfill, in part, elective credits (free electives) required in degree programs in the Department of Mathematics.
MTH 227 (Formerly MTH 201) Calculus III – 4 credit hours. Vector-valued functions; functions of several variables, partial derivatives and their applications; quadric surfaces, multiple integration, and vector calculus, including line and surface integrals; curl and divergence, Green’s Theorem, and Stoke’s Theorem. This is the third of three courses in the basic calculus sequence. Prerequisites: MTH 126 or MTH 146.
MTH 235 Mathematics for Elementary Teachers – 3 credit hours. Topics in the K-6 mathematics curriculum: counting, integers, the fundamental operations of arithmetic, ratio and proportion, elementary geometry, uncertainty and data interpretation. Problem solving, investigation, reasoning, communication, and the use of technology are integral parts of this course. This course is not open to Mathematics or Secondary Education Mathematics majors. Prerequisites: MTH 112.
MTH 237 (Formerly MTH 203) Introduction to Linear Algebra – 3 credit hours. Introduction to theory of matrices, determinants, methods of solving the linear system Ax = b via Gaussian elimination, Gauss-Jordan elimination, eigenvalues and eigenvectors, diagonalization of matrices, real vector spaces, bases and dimension, linear transformations and inner product spaces. Additional topics may include quadratic forms and applications of matrix theory in solving differential equations. Prerequisites: MTH 126 or MTH 146.
MTH 238 (Formerly MTH 202) Applied Differential Equations – 3 credit hours. An introduction to numerical methods, qualitative behavior of first order differential equations, techniques for solving separable and linear equations analytically, and applications to various models, including populations, motions and chemical mixtures. Also taught are techniques for solving higher order linear differential equations with constant coefficients, including the general theory and the method of undetermined coefficients, reduction of order, and variation of parameters. Discussions include interpretation of the behavior of solutions, and applications to physical models with higher order governing equations. The Laplace transform as a tool for solving initial value problems with discontinuous inhomogeneous terms. Prerequisites: MTH 126 or MTH 146.
MTH 301 Abstract Algebra I – 3 credit hours. Sets, relations, and functions; properties of integers and induction; permutations; groups, group homomorphisms, and quotient groups; Cartesian and direct products. Prerequisites: MTH 237.
MTH 302 Abstract Algebra II – 3 credit hours. A continuation of MTH 301. Rings, ring homomorphisms, ideals, quotient rings; integral domains; fields and polynomial extensions of fields. Prerequisites: MTH 301.
MTH 303 (PHY 303) Methods of Mathematical Physics – 4 credit hours. Vector calculus; partial differential equations; boundary value problems. Also included are the Fourier series, Laplace transforms, and Green’s function methods. Prerequisites: MTH 227.
MTH 305 Applied Mathematics – 3 credit hours. Functions of several variables, partial derivatives, differentials, power series, binomial series, Maclaurin and Taylor series, and solution of elementary first order and second order differential equations. Applications for engineering technology are included. This course is not open to Mathematics or Secondary Education Mathematics majors. Prerequisites: MTH 126 or MTH 146.
MTH 307 Geometry – 3 credit hours. A study of plane and solid Euclidean geometry from the modern viewpoint; relationships of Euclidean and non-Euclidean geometry, selected topics of affine and projective geometry. This course is open to Elementary and Secondary Education majors; this course is not open to Mathematics majors. Prerequisites: MTH 112.
MTH 324 (ST 324) Elementary Statistics II – 3 credit hours. Descriptive statistics, basic probability (set, counting rule, permutation, combination, calculating probabilities, conditional probabilities and Bayes rule), random variable, discrete and continuous probability distributions (binomial, Poisson, hyper-geometric and normal), point and interval estimation, hypothesis testing, correlation and regression, goodness-of-fit, analysis of variance, and contingency tables. It also includes computer-assisted data analysis with emphasis on the interpretation of results generated by software packages such as SAS, SPSS, STATPAK and others. Prerequisites: MTH 111 or (MTH 112 with MinGrade of C).
MTH 327 (ST 327) Applied Regression Analysis – 3 credit hours. A study of least squares; simple, polynomial and multiple linear regression including residual and lack-of-fit analysis; simple multiple, partial, and multiple-partial correlation; analysis of covariance; model building algorithms, analysis of variance, and computer-assisted data analysis. Prerequisites: (ST 324 or MTH 324) and MTH 125.
MTH 344 (ST 344) Design and Analysis of Experiments I – 3 credit hours. A study of the fundamental concepts and basic principles of design, construction and analysis of experimental designs. Designs to be included are completely randomized complete block, Latin square, Greco-Latin square, split-plot, multiple comparison, and factorial. Prerequisites: ST 327 or MTH 327.
MTH 351 Introduction to Real Analysis I – 3 credit hours. Logical connectives; quantifiers, inductive and deductive methods of proof; negation; contrapositive; sets; relations and functions. Topics include the completeness axiom, topology of the real line, compact sets, sequences, subsequences, Cauchy sequences, limits, continuity, and uniform continuity. Prerequisites: MTH 227.
MTH 352 Introduction to Real Analysis II – 3 credit hours. Continuation of MTH 351 which includes discussions of differentiation, Riemann integral, derivatives of integrals, infinite series, absolute and conditional convergence, power series, Taylor series, sequences and series of functions, and modes of convergence. Prerequisites: MTH 351.
MTH 355 (ST 355) Applied Statistics – 3 credit hours. Collection and presentation of data; measures of central tendency and variability; skewness, binomial, normal, Chi-square, t-and F-distributions; estimation; confidence intervals and hypothesis testing; correlation coefficient; and analysis of variance. This course includes laboratory activities. This course is designed for majors in biology, zoology, botany, medical technology, pre-veterinary medicine, and pre-nursing. This course is not open to mathematics majors or applied statistics minors. Prerequisites: MTH 112.
MTH 357 Computers and the Teaching of Mathematics – 3 credit hours. Introduction to computer usage and applications of technology in mathematics instruction, development of curriculum materials using mathematical software packages; laboratory demonstrations and projects. This course is open to Secondary Education Mathematics majors. This course is not open to Mathematics majors. Prerequisites: MTH 125.
MTH 371 Number Theory – 3 credit hours. An introduction to the theory of numbers through a study of divisibility; congruencies; quadratic reciprocity; Diophantine equations; factorization; algebraic numbers. Prerequisites: MTH 237.
MTH 383 Numerical Analysis – 3 credit hours. Introduction to numerical methods for interpolation; evaluating roots of polynomials, systems of equations; integration; differentiation; differential equations; approximation and error. Prerequisites: MTH 227 and CS 102.
MTH 401 History of Mathematics – 1 credit hour. A course designed to explore and study topics in the history of mathematics. Prerequisites: MTH 125.
MTH 431 Introduction to Graph Theory – 3 credit hours. Theory of directed and undirected graphs. Fundamental concepts of graphs; paths and cycles; trees; hamiltonicity; mathcings; vertex and edge connectivity; networks; algorithms; graph colorings; planarity. Prerequisite: MTH 126
MTH 442 Partial Differential Equations – 3 credit hours. Survey of theory and methods for solving elementary partial differential equations. Topics include first - order equations and the method of characteristics, Classification of second order partial differential equations, reduction to canonical form, solutions of the wave equations, solutions of the heat equation; Laplace's equation, separation of variables, and Fourier series. Prerequisite: MTH 238
MTH 444 (ST 444) Applied Time Series Analysis – 3 credit hours. Fundamentals concepts; classical regression models as forecasting models, exponential smoothings, stationary and nonstationary models, additive and multiplicative decompositions, moving average, autoregressive, model identification, forecasting techniques, seasonal model identification, model building and forecasting with ARMA and ARIMA processes, estimation in MA, AR, ARMA and ARIMA processes. Box-Jenkins methodology, computer aided modeling, applications. Prerequisites: (MTH 324 or ST 324) with a MinGrade of C.
MTH 452 Complex Analysis – 3 credit hours. The complex numbers, functions, continuity of complex variables, differentiability, Cauchy-Riemann conditions, contour integral theorem, sequences and series, and the calculus of residues. Prerequisites: MTH 227.
MTH 453 (ST 453) Probability and Statistics – 3 credit hours. Probability axioms, methods of enumeration; conditional probability, independence, empirical frequency distribution, discrete and continuous random variables, expectation, moment generating functions, joint distributions, sums of random variables, and limit theorems. Prerequisites: MTH 126 or MTH 146.
MTH 454 Advanced Calculus – 3 credit hours. Topics of advanced nature in differential and integral calculus. Emphasis is placed on the understanding of concepts and on the basic principles of analysis. Prerequisites: MTH 227.
MTH 473 (ST 473) Statistics – 3 credit hours. An introduction to the theory of statistics. Topics include sampling distributions, estimation, hypothesis testing, linear models, analysis of variance, nonparametric and distribution-free procedures. Prerequisites: ST 453 or MTH 453.
MTH 480 Selected Topics in Mathematics – 3 credit hours. Discussion of current topics in algebra and/or analysis. Prerequisites: MTH 301 or MTH 351 or instructor consent.
MTH 481 Senior Project – 3 credit hours. A course designed for mathematics majors who are conducting a senior mathematics project under the direction of a mentor. This course is open only to Mathematics majors. Prerequisites: (MTH 301 or MTH 351) or instructor consent. Note: This course is a capstone course for the Mathematics program. Therefore, students majoring in this program cannot substitute this course.
MTH 482 Independent Study – 1 credit hour. A course designed for investigative study in an area of contemporary mathematics under the supervision of a senior mathematics instructor. Prerequisites: MTH 237 or instructor consent.
