# Mathematics

MATH 0300 - ELEMENTARY ALGEBRA (3 Credits)

Arithmetic operations on the real number system with fractions, decimals and percents; basic concepts of and operations on algebraic expressions, along with their usage in the solution of linear equations and inequalities; operations with whole number exponents and polynomials, graphing linear equations and inequalities in two variables; solution of systems of equations. Meets the equivalent of five 50-minute periods per week. Does not count toward any degree requirement, including elective credit; does not compute in OLLU grade point average. Offered: Fall, Spring.

MATH 0320 - INTERMEDIATE ALGEBRA (3 Credits)

Use and understanding of basic algebraic skills in preparation for college algebra; operation with rational expressions and radical expressions; solution of quadratic, radical, rational, and absolute value equations and inequalities; graphing, factoring and other operations of polynomials; function and domain; complex numbers. Meets the equivalent of five 50-minute periods per week. Does not count toward any degree requirement, including elective credit; does not compute in OLLU grade point average. Offered: Fall, Spring.

MATH 1301 - MATHEMATICS FOR THE LIBERAL ARTS (3 Credits)

Survey of mathematics including topics selected from: systems of numeration, metric system, introduction to probability and statistics, elementary algebra and geometry, consumer mathematics. Emphasis on problem solving. Prerequisite: MATH 0300 or equivalent or placement test above MATH 0300. Offered: Fall, Spring.

MATH 1304 - COLLEGE ALGEBRA (3 Credits)

Real numbers, relations and functions, inequalities, systems of equations, applications of algebra in a variety of fields (TCCN: 1314). Prerequisite: MATH 0320 with a grade of C or better or placement in MATH 1304 via SAT, ACT or placement test scores. Offered: Fall, Spring.

MATH 1406 - ESSENTIAL IN MATHEMATICS I (4 Credits)

The first in a sequence of two four-hour courses designed for elementary education majors. Topics include study of patterns and relationships, algebraic thinking, sets, numeration systems, introduction to number theory and the real number system and its subsystems with a problem-solving approach. Manipulatives and hands-on activities are used to teach content and pedagogical knowledge for the K-8 grades. The content reflects the Texas Essential Knowledge and Skills (TEKS), as well as the mathematics included in the Examination for the Certification of Educators in Texas (TExES) Standards. Prerequisite: MATH 0300 or equivalent or placement above MATH 0300. Offered: Fall, Spring.

MATH 1407 - ESSENTIALS IN MATHEMATICS II (4 Credits)

The second of a sequence of two four-hour courses designed for elementary education majors. Topics include probability, statistics, informal geometry, motion geometry and concepts of measurement with a problem-solving approach. Manipulatives, hands-on activities and appropriate technology are used to teach content and pedagogical knowledge for the K-8 grades. The content reflects the Texas Essential Knowledge and Skills (TEKS), as well as the mathematics included in the Examination for the Certification of Educators in Texas TExES) Standards. Prerequisites: MATH 1406 or equivalent. Offered: Fall, Spring.

MATH 1411 - PRECALCULUS (4 Credits)

Exponential and logarithmic functions, trigonometry and analytic geometry. Introduction to conic sections and matrices (TCCN: MATH 2412). Prerequisite: Grade of C or better in MATH 1304 or consent of instructor. Offered: Fall, Spring.

MATH 2190-2690 SELECTED ISSUES IN MATHEMATICS (1-6 Credits)

Introduction to specialized topics chosen by instructor. May be repeated for credit when topics vary.

MATH 2303 - PROBABILITY AND STATISTICS (3 Credits)

A non-calculus course on principles and practice of statistics and probability. Topics include data analysis, elementary probability theory, regression and correlation, and inferential statistical techniques, including sampling theory, estimation procedures and hypotheses testing. A statistical software package is used throughout. Prerequisite: Math 1304 or equivalent. Offered: Fall, Spring.

MATH 2412 - CALCULUS I (4 Credits)

Theory and application of differentiation of algebraic and transcendental functions; antiderivatives, definite integrals, the Fundamental Theorem of Calculus and integration by substitution; differentiation and integration of exponential, logarithmic and inverse trigonometric functions (TCCN: MATH 2413). Prerequisite: MATH 1411 or equivalent. Offered: Fall, Spring.

MATH 2413 - CALCULUS II (4 Credits)

Applications of integration, integration techniques, improper integrals, infinite series and conic sections (TCCN: MATH 2414). Prerequisite: MATH 2412 or equivalent. Offered: Fall, Spring.

MATH 3310 - FOUNDATIONS FOR ADVANCED MATHEMATICS (3 Credits)

Fundamental mathematical concepts are studied to provide students the opportunity to move from concrete to abstract mathematics. Emphasis is on understanding the importance of definitions and axiomatic structure and on developing the students' ability to create proofs. Prerequisite: Nine hours of college-level mathematics. Offered: Fall.

MATH 3311 - DIFFERENTIAL EQUATIONS (3 Credits)

Linear differential equations, first order and higher orders, systems of linear differential equations and applications. Prerequisite: MATH 2413.

MATH 3322 - LINEAR ALGEBRA (3 Credits)

Euclidean vectors, matrix solutions of linear equations, vector spaces, linear transformations, orthogonal spaces, eigenvalues and eigenvectors. Prerequisite: MATH 2412, MATH 3310.

MATH 3341 - GEOMETRY (3 Credits)

A study of basic concepts and historical development in geometric theory using Euclidean geometry as a central focus; among the approaches used are synthetic, transformational and coordinate, with emphasis on logical reasoning, justification and proof in relation to axiomatic structures. Prerequisite: MATH 3310 or consent of instructor.

MATH 3363 - PROBLEM SOLVING (3 Credits)

Elementary problem solving using a variety of techniques, such as recognizing patterns, conjecturing, specializing and generalizing. Strong emphasis on writing. Prerequisite: Nine semester hours of college mathematics credit.

MATH 3414 - CALCULUS III (4 Credits)

Analytical geometry of three-dimensional space, partial derivatives, multiple integrals and line integrals. Prerequisite: MATH 2413 or equivalent.

MATH 4311 - CONCEPTS OF CALCULUS (3 Credits)

A study of the major concepts of differential and integral calculus with an emphasis on applications. This course is for non-science majors. Students cannot receive credit for this course if they have credit in MATH 2412. Prerequisite: MATH 1304 or equivalent.

MATH 4321 - MODERN ALGEBRA (3 Credits)

An introduction to groups, rings and fields. Prerequisite: MATH 3310.

MATH 4350 - BIOMATHEMATICS (3 Credits)

This course provides an introduction to the use of mathematical techniques applied to solve problems in biology. Models discussed fall into three categories: discrete, continuous, and spatially distributed. Biological topics discussed range from the subcellular molecular systems and cellular behavior to physiological problems, population biology and developmental biology. Prerequisites: MATH 2413, MATH 3322. Offered: Spring.

MATH 4351 - MATHEMATICAL MODELING (3 Credits)

This course provides an introduction to the use of continuous and discrete differential equations in the biological sciences. Biological topics may include single species and interacting population dynamics, modeling infectious and dynamic diseases, regulation of cell function, molecular interactions and receptor-ligand binding, biological oscillators, and an introduction to biological pattern formation. Prerequisites: MATH 2413, MATH 3322, MATH 3311. Offered: Fall.

MATH 4352 - NUMERICAL ANALYSIS (3 Credits)

Analysis of numerical methods for the solution of linear and nonlinear equations, approximation of functions, numerical differentiation and integration, and the numerical solution of initial boundary problems for ordinary differential equations. Prerequisites: MATH 3414, MATH 3322, MATH 3311. Offered: Fall.

MATH 4361 - HISTORY AND PHILOSOPHY OF MATHEMATICS (3 Credits)

Historical development of mathematics and the study of various philosophies of mathematics. Prerequisite: MATH 2412 and eight additional semester hours in college-level mathematics or consent of instructor.

MATH 4362 - TOPICS IN DISCRETE MATHEMATICS (3 Credits)

Set theory relations and mappings, graph theory, development of algorithms and combinatorics. Prerequisite: MATH 3310.

MATH 5151 - SENIOR SEMINAR IN MATHEMATICS (1 Credit)

A one-credit hour seminar that provides a capstone experience required for all mathematics majors except those seeking secondary certification. Each student completes a comprehensive project that involves researching an advanced mathematical topic and presenting the results in a formal lecture. Prerequisite: Senior status.

MATH 5160 - SELECTED TOPICS (1 Credit)

In-depth study or research in a specialized topic chosen by instructor or by student with consent of the instructor. May be repeated for credit when topics vary. Prerequisite: 12 advanced hours in mathematics and consent of instructor.

MATH 5303 - ADVANCED PROBABILITY AND STATISTICS (3 Credits)

Theory of probability, probability functions and density functions, random variables, functions of random variables and their sampling distributions. Prerequisites: MATH 2303 and MATH 2413 or equivalent.

MATH 5311 - TOPICS IN REAL ANALYSIS (3 Credits)

Properties of continuous functions, metric spaces, integration theory. Prerequisites: MATH 3322, MATH 3414.

MATH 5342 - INTRODUCTION TO TOPOLOGY (3 Credits)

Set theory, topological spaces, metric spaces, connectedness, compactness. Prerequisite: Consent of instructor.