MATHEMATICS (MATH)

0318 Math I

A review of math topics from Algebra I: prime and composite numbers, integers, rational numbers, exponents, solving equations, ratio and proportion, and problem solving. Must be completed with a minimum grade of C. (Fall, Spring)

0319 Math II

A review of math topics from Algebra II: polynomials, factoring, algebraic fractions, graphing, roots and radicals, and quadratic equations. Prerequisite: ALMA 0318 or satisfactory placement test score. Must be completed with a minimum grade of C. (Fall, Spring, Summer)

1304 College Algebra

This course covers algebraic operations, functions and functional notation; polynomial equations and inequalities; graphing techniques, graphs of polynomial and rational functions; logarithms and exponentials; and, problems from the physical and social sciences and business. Prerequisite: sufficiently high score on the mathematics section of the TAKS, the UIW mathematics placement test or completion of MATH 0318 and 0319. This course may serve as a prerequisite for MATH 1311. It will not count as an elective for mathematics majors. (every semester)

1306 College Geometry

This course aims to convey depth in geometric thinking, as well as the breadth of geometrical connections to disciplines from the liberal and fine arts, business, engineering, and the sciences. Study will include the foundations of measurement and construction in plane and solid geometry described by Euclid. It is designed to satisfy the core requirement in mathematics for students whose major programs have no other mathematics requirement as well as enhance those programs with a strong mathematics component. Prerequisite: sufficiently high score on the mathematics section of the TAKS, the UIW mathematics placement or completion of MATH 0318. It will not count as an elective for mathematics majors. (Fall and Spring)

1311 Precalculus

This course includes functions and their inverses, exponential, logarithmic, and trigonometric functions, analytic trigonometry, sequences and series, the binomial theorem; conics; parametric equations; and polar coordinates and graphs. Prerequisite: Math 1304 with a grade of C or better or sufficiently strong high school mathematics and SAT or ACT score. This course serves as a prerequisite for Math 2312. It will not count as an elective for mathematics majors. (Every semester)

2303 Introduction to Probability and Statistics

This course covers elementary probability theory, techniques of statistical inference including sampling theory, estimation procedures, and hypothesis testing. Prerequisite: sufficiently high score on the mathematics section of the TAKS, the UIW mathematics placement test or completion of MATH 0318. (Every semester)

2312 Calculus I

This course covers functions, limits, derivatives, and integrals; exponential and logarithmic functions; inverse trigonometric functions; and applications. Prerequisite: sufficiently strong high school mathematics and SAT score, MATH 1311 with a C or better or permission of the instructor. (Fall and Spring)

2313 Calculus II

This course covers formal integration, indeterminate forms, improper integrals, and infinite series. Prerequisite: MATH 2312 with a C or better or permission of the instructor. (Fall and Spring)

2314 Differential Equations

This course covers linear differential equations, series solutions, and applications. Prerequisite: MATH 2313 with a C or better or permission of the instructor. (Spring of even-numbered years)

2322 Linear Algebra

This course covers vector spaces, linear transformations and matrices. Prerequisite: MATH 1304 with a C or better or permission of the instructor. (Fall of even-numbered years)

2374 Mathematics for Elementary Teachers

This course covers those mathematical topics considered as essential elements for teachers of elementary school mathematics. Development of mathematics concepts through the process of doing mathematics will create a foundation for mathematical understanding. Numerous problem-based activities are interwoven with a discussion of mathematical content to produce a course used to engage students in mathematics exploration. Prerequisite: Completion of MATH 1304 with a C or better. It will not count as an elective for mathematics majors or as a CORE mathematics course. This course serves as a prerequisite for MATH 2375. (Fall)

2375 Mathematics and Science Pedagogy for Elementary Teachers

This course develops concepts through the process of active involvement and creates a foundation for mathematical and scientific understanding. Manipulative and science instructional kits provide the basis for developing the pedagogy of elementary pre-service teachers. Student error patterns are interwoven with a discussion of mathematics and science pedagogy to produce a course used to engage students in high quality mathematics and science instruction. Instructional and assessment strategies are chosen for the optimal preparation of teachers of elementary school mathematics and science. Prerequisites: Completion of MATH 1304, MATH 2374, and PYSC 2374 with a C or better. It will not count as an elective for mathematics majors or as a CORE mathematics course. (Spring)

3314 Calculus III

This course covers vectors, differential calculus of functions of several variables, multiple integrals, and applications. Prerequisite: MATH 2313 with a C or better or permission of the instructor. (Fall)

3320 Foundations of Higher Mathematics

This course is a rigorous development of ideas prerequisite to the study of abstract mathematics with emphasis on proving theorems involving logic, set theory, relations and functions. Prerequisite: 9 semester hours in mathematics or permission of instructor. This course may serve as a prerequisite for MATH 2235 and MATH 4341. (Fall)

3325 Abstract Algebra and Number Theory

This course introduces groups, rings, and fields. Algebraic ideas are developed in parallel with the considerations of congruence and congruence classes, which normally arise in elementary number theory. It includes applications to the theory of equations. Prerequisite: MATH 3320 with a C or better or permission of the instructor. (Spring of odd-numbered years)

3335 Geometry and Proof

This course aims to convey depth in geometry while including the foundations of analytic and transformational geometry, non_Euclidean and fractal geometry, logic theory, and the applications of trigonometry.

3340 History of Mathematics

This course covers the historical development of mathematics, algebra, geometry, and the evolution of symbolism. Prerequisite: 9 semester hours in mathematics or permission of instructor. (Spring of odd-numbered years)

3350 Introduction to Real Analysis

This course covers includes limits and related proofs, sequences, continuity, theory of differentiation, and the Riemann integral. Prerequisite: MATH 3314 with a C or better. (Spring of even-numbered years)

3355 Introduction to Numerical Analysis

This course covers elementary numerical algorithms for mathematical and scientific computing: interpolation, numerical calculus, and numerical solutions to linear equation and equation systems, Eigenvalue problems, and matrix decompositions. Prerequisite: MATH 2313, MATH 2322, and one higher-level computer programming language (c, pascal, fortran, BASIC, etc), or instructor's permission. (Fall of odd-numbered years)

3360 Discrete Mathematics

This course is an introduction to non-continuous mathematics, which contains topics of interest in computer science, social science, management, and mathematics. Topics include logic, counting, relations, graph theory and algorithms. Prerequisite: MATH 3325 or permission of instructor. (Spring of even-numbered years)

4331 Introduction to Probability Theory

This course covers discrete and continuous probability spaces; random variables and their distributions; and connections to parametric and non-parametric investigations. Prerequisite: MATH 2313 and MATH 3320 or permission of instructor. (Fall of odd-numbered years)

4341 Modern Geometry

This course covers Euclidean and non-Euclidean geometries using both groups of transformations and sets of axioms to classify geometries. Applications and problem-solving within these geometries is addressed. Prerequisite: MATH 3320 with a C or better or permission of instructor. (Spring of odd-numbered years)

MATHEMATICS (MATH)