**MATH 0320** **Introductory Algebra (3-0)**

Curriculum includes elementary algebra including properties and operations of real numbers, operations with algebraic expressions, factoring, solving linear equations and equalities, quadratic equations, and the coordinate plane and graphing. Upon successful completion of MATH 0320, the student will be enrolled in MATH 0330. Laboratory time is required. (Fall, Spring)

**MATH 0330** **Intermediate Algebra (3-0)**

Prerequisite: Successful completion of MATH 0320 Introductory Algebra or demonstrated mastery of the concepts covered in MATH 0320. Module 1 in the Accelerated College Algebra series includes a review of introductory algebra concepts, quadratic equations, factoring, rational expressions, complex fractions, roots, radicals, absolute value equations and inequalities, and functions. Upon successful completion of MATH 0330, the student will be enrolled in MATH 1311. Laboratory time is required. (Fall, Spring, and Summer as needed)

**MATH 1311** **College Algebra (3-0)**

This college algebra course focuses on modeling real data, e.g., environmental issues. Topics covered include linear and quadratic functions, systems of linear equations and matrices, exponential and logarithmic functions, series, inequalities, and linear programming. A graphing calculator is preferred, preferably a TI83+. Some students will be required to take DEVS 0330 before being allowed to take this course according to McMurry’s academic placement policy. MATH 1311 or a higher-level mathematics

course fulfills the General Education requirement for BA and BBA degrees. Consult requirements for your major to see if this course is required. (Fall, Spring) (TCCN MATH 1314)

**MATH 1315** **Contemporary Math (3-0**)

This course focuses on conveying the power of mathematics by showing a variety of problems that can be modeled and solved by quantitative means. This course will give a broad sense of what Math is about and how it applies to everyday life. Some of the topics this course may include are Management Science, Statistics, The Science of Data, Voting and Social Choice, Fairness and Game Theory, The Digital Revolution, On size and Growth, and Your Money and Resources. Some students will be required to take DEVS 0330 before being allowed to take this course according to McMurry’s academic policy. (Fall, Spring)

**MATH 1320** **Pre-Calculus (3-0)**

Prerequisites: Placement demonstrated by ACT or SAT scores, high school transcript, or college transcript(s). Transcendental functions are studied along with their graphs and applications. Other topics examined may include solutions of triangles, trigonometric identities, polar coordinates, and complex numbers. A graphing calculator is required, a TI84 is recommended. This course is a prerequisite for Calculus I. (Fall) (TCCN MATH 2312)

**MATH 2315** **Discrete Mathematics (3-0)**

Prerequisites: MATH 1311 or permission of instructor. Topics covered include logic, mathematical proof techniques, sets, functions, relations on sets, number theory, counting techniques, recurrence relations, and graph theory. Required for the mathematics major. (Fall and Spring) (TCCN MATH 2305)

**MATH 2421** **Calculus I (3-1)**

Prerequisites: MATH 1320 or permission of instructor. An Introduction to the fundamental concepts, theorems, and applications of limits, continuity, differentiation, antidifferentiation, and integration of algebraic, logarithmic, exponential, and trigonometric functions. Required for the mathematics major, minor, computer science major, and physics major. (Fall, Spring) (TCCN MATH 2413)

**MATH 2322** **Calculus II (3-0)**

Prerequisite: MATH 2421. This course builds on the skills developed in Calculus I. Applications of integration, techniques of integration, sequences and series are rigorously studied. Other topics examined may include numerical approximation and calculus using polar coordinates. Required for the mathematics major, minor, and physics major. (Fall, Spring) (TCCN MATH 2314)

**MATH 2340** **Linear Algebra (3-0)**

Prerequisites: MATH 2421 or permission of instructor. An elementary introduction to basic concepts of Linear Algebra. Topics to be included are matrices, determinants linear transformations and vector spaces. Required for the mathematics major, minor, computer science major, and physics major. (Fall, Spring) (TCCN MATH 2318)

**MATH 3301** **Multivariable Calculus (3-0)**

Prerequisites: MATH 2322 and 2340. An introduction to calculus of several variables. Topics to be included are differentiation, partial derivatives, multivariable chain rule, directional derivatives, gradients, extrema of real valued functions, constrained extreme and LaGrange multipliers, divergence, curl, multiple integrals, line integrals, surface

integrals, Green’s Theorem, Stokes’ Theorem, and Divergence Theorem. Optional for the mathematics major, and minor.

Required for the physics major, and minor (Spring)

**MATH 3302** **Intermediate Analysis (3-0)**

Prerequisites: MATH 2315, 2322. Properties of the real numbers, continuous functions, differentiable functions, infi nite series, and the topology of the real numbers. Required for the mathematics major and mathematics grades (8-12). Optional for the mathematics grades (4-8). (Spring)

**MATH 3321** **College Geometry (3-0)**

Prerequisites: MATH 2315 or 3302 or permission of instructor. A study of advanced Euclidean geometry and some of the theorems of non-Euclidean geometry, which is intended to provide a broader view of geometry for those who plan to teach high school mathematics. (Spring)

**MATH 3330** **Teaching Elementary Math I EC-6 (3-0)**

Prerequisites: A grade of “C” or better in MATH 1311 or higher. This course is also cross-listed as ECED 3330. This course introduces the prospective teacher to concepts and developmentally appropriate instructional strategies for math taught at the EC through Grade 6 levels. Students will develop an understanding of fundamental elementary math concepts such such as problem solving, the development of early number concepts and number sense, mastery of math facts, operations, fractions and decimals, and proportional reasoning through active and investigative projects and activities. (Fall, spring, summer), (Required for Math EC-6 certification, and Math grades 4-8 certification)

**MATH 3331** **Teaching Elementary Math II EC-6 (3-0)**

Prerequisites: Grade of “C” or better in MATH 1311 or higher, and MATH 3330. This course is also cross-listed as ECED 3331. This course will introduce the prospective teacher to concepts and developmentally appropriate instructional strategies for math taught at the EC through Grade 6 levels. Students will develop understanding of

fundamental elementary math concepts such as geometry and measurement, algebraic thinking, statistics and probability through active and investigative projects and activities. During long semesters students will tutor 5th grade students in math. (Spring, spring, summer), (Required for EC-6 certifi cation)

**MATH 3332** **Theory of Secondary School Mathematics (3-0)**

A course designed to aid the prospective secondary mathematics teacher in understanding the concepts of mathematics now being taught in the secondary schools. Manipulatives, cooperative learning investigations, projects, writing assignments, and technology are part of the syllabus. This course is open only to those who will be student teaching in secondary mathematics during the following spring or fall semester. (Fall)

**MATH 3341** **Ordinary Differential Equations (3-0)**

Prerequisite: MATH 2322. An introduction to the general theory and solution techniques of ordinary differential equations. Laplace Transforms and systems of ordinary differential equations are also presented. Required for the physics major, and minor. (Fall)

**MATH 3351** **Statistics (3-0)**

Prerequisites: MATH 1311 or permission of instructor. Introduction to statistics and probability theory, sampling techniques, classifi cation of data, descriptive statistics,

exploratory data analysis, probability, random variables, probability distributions, sampling distributions, confi dence intervals, tests of hypothesis, correlation, linear regression, chi-square tests, and introduction to analysis of variance. Required for the computer science major, nursing major, and physics major. Optional for the mathematics major. (Fall, Spring)

**MATH 4301 Advanced Analysis I (3-0)**

Prerequisite: MATH 3302. A rigorous treatment of topics introduced in elementary calculus and more advanced topics basic to the study of real analysis. A required course for the Math major. (Fall odd years)

**MATH 4302** **Advanced Analysis II (3-0)**

Prerequisite: MATH 4301 A continuation of Mathematics 4301. An optional course for the mathematics major, and minor. (Spring even years)

**MATH 4321** **Abstract Algebra I (3-0)**

Prerequisites: MATH 2315 and 2340. A study of number theory, elementary theory of groups, rings, integral domains, and fi elds. A required course for the math, math-computer science major. (Fall even years)

**MATH 4322** **Abstract Algebra II (3-0)**

Prerequisite: MATH 4321. A continuation of Mathematics 4321. An optional course for the mathematics major, and minor. (Spring odd years)

**MATH 4331** **Numerical Analysis With Computer Applications (3-0)**

Prerequisites: COSC 1325 and MATH 2421 and 2340. Basic numerical methods for function evaluation, root fi nding, evaluation of integrals, simultaneous linear equations, and ordinary differential equations. (Also cross-listed as COSC 4331.) Required for the computer science major and optional for the mathematics major. (Spring)

**MATH 4388** **Internship In Mathematics**

This is a pre-approved and supervised work experience for selected students. Registration is by permission only for students who have met all the qualifications. See instructor for details.

**MATH 4X95** **Independent Studies**

A study program arranged between an advanced student and an instructor to provide intensive study in a particular area of interest. The course includes a definition of goals appropriate for the advanced student, ways of attaining those goals, a schedule for frequent consultation, and means of measuring progress.

**MATH 4X96H** **Honors Tutorial**

Prerequisites: 25 hours in mathematics and admission to departmental honors program. Designed for the honors student in mathematics, including study of particular topic, historical and background analysis, and research.

**MATH 4X97H** **Senior Thesis Of Project**

Prerequisites: 18 hours in mathematics, admission to departmental honors program, and approval of research project by department and Honors Committee. Designed for the honors student in mathematics. An independent research project on a topic approved by the mathematics faculty. Findings reported in writing and orally to the faculty of the department. Successful completion required for graduation with honors in mathematics.

**MATH XX99** **Special Topics**

A course of study offered occasionally to groups of students to broaden departmental curriculum, to meet student demand, or to observe special events. May be repeated for credit when topics vary.

**For More Information Contact**

Dr. Kelly McCoun

Department of Mathematics

McMurry University

Abilene, Texas 79697