Degrees in Math
Special programs
and opportunities
and opportunities
Courses Offered By the Department of Mathematics
OSD 0320 INTRODUCTORY ALGEBRA MATH 1311 ALGEBRA 1312 TRIGONOMETRY 1320 PRE-CALCULUS 2315 DISCRETE MATHEMATICS 2421 CALCULUS I 2340 LINEAR ALGEBRA 2322 CALCULUS II 3301 MULTIVARIABLE CALCULUS 3302 INTERMEDIATE ANALYSIS 3321 COLLEGE GEOMETRY 3330 MATHEMATICS FOR ELEMENTARY TEACHERS I 3331 MATHEMATICS FOR ELEMENTARY TEACHERS II 3332 THEORY OF SECONDARY SCHOOL MATHEMATICS 3341 ORDINARY DIFFERENTIAL EQUATIONS 3351 STATISTICS 4301 ADVANCED ANALYSIS I 4302 ADVANCED ANALYSIS II 4321 ABSTRACT ALGEBRA I 4322 ABSTRACT ALGEBRA II. 4331 NUMERICAL ANALYSIS WITH COMPUTER APPLICATIONS 434(a-h). CONTEMPORARY MATHEMATICAL STUDIES 4X95 INDEPENDENT STUDIES 4X96* HONORS TUTORIAL 4X97* SENIOR THESIS OF PROJECT XX99 SPECIAL TOPICS MATH 4388 INTERNSHIP IN MATHEMATICS
Elementary algebra including arithmetic of integers, operations with algebraic expressions, linear equations, linear inequalities, operations with polynomials, fractions, algebraic fractions, graphing, systems of linear equations, radicals, and quadratic equations. Recommended for those needing or desiring more training in basic algebraic concepts before taking Mathematics 1311. Some laboratory time may be required. Elective credit. (Fall and Spring)
This college algebra course focuses on modeling real data, primarily concerning 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 required, preferably a TI82, TI83, or TI85. Some students will be required to take OSD 0320 before being allowed to take this course according to McMurry’s academic placement policy. (Fall and Spring)
Prerequisite: MATH 1311 Trigonometric functions, solutions of right and oblique triangles, trigonometric identities and equations, graphs of the trigonometric functions, and DeMoivre’s theorem. A graphing calculator is required, preferably a TI82, TI83, or TI85. (Spring)
Prerequisites: A student must have a strong background in high school algebra, geometry and trigonometry. A study of linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions with their graphs and applications. Other topics include inverse functions, inequalities, systems of equations, solution of triangles, trigonometric identities, polar coordinates, and complex numbers. A graphing calculator is required, preferably a TI82, TI83, or TI85. (Fall)
Prerequisite: Student needs to know algebra or have had MATH 1311 or MATH 1320. Concepts covered are sets, functions, proof techniques, logic, logic circuits, relations on sets, counting, pigeonhole principle, binomial coefficients, recurrence relations, and graph theory. (Fall and Spring)
Prerequisite: MATH 1320 or MATH 1311 and 1312 or permission of instructor. Fundamental concepts, limits, continuity, differentiation, and anti-differentiation of algebraic, logarithmic, exponential, and trigonometric functions. Riemann sums and integrals, Mean-Value Theorem, Maximum-Minimum Theorem, Fundamental Theorem of calculus, and applications. (Fall and Spring)
Prerequisite: 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. (Fall and Spring)
Prerequisite: MATH 2421.
Inverse functions, inverse trigonometric functions, numerical approximation, l’Hopital’s rule, sequences and series, analytical geometry, calculus using polar coordinates, volumes of solids of revolution, improper integrals, applications of the definite integral, techniques of integration including integration by parts, algebraic and trigonometric substitution, partial fractions. (Fall and Spring)
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 extrema and LaGrange multipliers, divergence, curl, multiple integrals, line integrals, surface integrals, Green’s Theorem, Stokes’ Theorem, and Divergence Theorem. (Spring)
Prerequisites: MATH 2315, 2322 and 2340.
Properties of the real numbers, continuous functions, differentiable functions, in- finite series, and the topology of the real numbers. (Spring)
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 teachers of high school mathematics. (Spring)
Prerequisite: Successful completion of the mathematics portion of the T.A.S.P. Test or a grade of "C" or better in MATH 1311. A course designed to aid the prospective elementary teacher to understand the concepts of the mathematics taught in the elementary schools. Topics covered are problem solving, sets, number systems, functions, whole numbers, integers, fractions, ratios and proportions, decimals, percents, and real numbers. Manipulatives, cooperative learning, investigations, projects, writing assignments, and technology are part of the syllabus. (Fall)
Prerequisites: Successful completion of the mathematics portion of the T.A.S.P. and MATH 1311 or 3330.
A course designed to aid the prospective elementary teacher to understand the concepts of the mathematics taught in the elementary schools. Topics covered are problem solving, probability, statistics, geometry, and measurement. Manipulatives, cooperative learning, investigations, projects, writing assignments, and technology are part of the syllabus. (Spring)
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. A graphing calculator is required, preferably the TI82, TI83, or TI85. (Fall)
Prerequisites: MATH 2322.
A systematic treatment of the general theory of linear ordinary differential equations. Linear equations with constant coefficients, with variable coefficients,
with regular singular points; existence and uniqueness of solutions to first order equations. (Fall)
Prerequisite: MATH 1311 or permission of instructor.
Introduction to statistics and probability theory, sampling techniques, classification of data, descriptive statistics, exploratory data analysis, probability, random variables, probability distributions, sampling distributions, confidence intervals, tests of hypothesis, correlation, linear regression, chi-square tests, and introduction to analysis of variance. . (Fall and Spring)
Prerequisite: MATH 3302.
A rigorous treatment of topics introduced in elementary calculus and more advanced topics basic to the study of real analysis. (Fall odd years)
Prerequisite: MATH 4301
A continuation of Mathematics 4301. (Spring even years)
Prerequisite: MATH 4321.
A study of number theory, elementary theory of groups, rings, integral domains, and fields. (Fall even years)
Prerequisite: MATH 4321. A continuation of Mathematics 4301. (Spring odd years)
Prerequisites: CSC 2320 and MATH 2421 and 2340.Basic numerical methods for function evaluation, root finding, evaluation of integrals, simultaneous linear equations, and ordinary differential equations. (Also cross listed as Computer Science 4331.) (Spring)
Studies in various areas of contemporary mathematics. Topics that might be covered are Topology, Complex Analysis, Differential Geometry, Number Theory, Mathematical Modeling, Probability, and Mathematical Statistics. A student may repeat the course when different topics are covered.
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.
Prerequisites:25 hours in mathematics and admission to departmental honors program. Designed for the honors student in mathematics; the course includes the study of a particular topic, with historical and background analysis, and research.
Prerequisite: 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 presented orally to the faculty of the department. Successful completion required for graduation with honors in mathematics.
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.
This is a pre-approved and supervised work experience for selected students. Registration is by permission only for students who have met all the qualification. See AAAA for details
Created: 6/3/97 Updated: 8/20/97