## Mathematics

**MATH 1000 - Essentials of Mathematics
**
3 credit hours

The practices of learning mathematics. Required for students whose ACT Mathematics score is 15-16 or whose mathematics assessment indicates placement. Emphasis on problem solving, critical thinking, math study skills, and solving and graphing linear equations and inequalities. Course will meet for three hours in the classroom and will have a required two-hour lab component, which will include structured online activities. Does not fulfill General Education Mathematics requirement.

**MATH 1010 - Mathematics for General Studies
**
3 credit hours

Prerequisites: Two years of high school algebra and a Math Enhanced ACT of at least 19 or DSPM 0850 or COMPASS placement. Course satisfies the General Education Mathematics requirement and is also part of the mathematics sequence for students preparing to become elementary school teachers. Topics include logic, sets, algebraic reasoning, probability, statistics, and consumer mathematics. TBR Common Course: MATH 1010

**MATH 1020 - Mathematics Colloquium
**
1 credit hour

Introduces new mathematical sciences students to the mathematics major. Topics include degree requirements, faculty resources, technological resources, research opportunities, and career options. About half of the meetings will involve one hour in-class lectures and activities, and half will involve attending talks, some of which may occur outside the scheduled class meeting time.

**MATH 1410 - Concepts and Structure of Elementary School Mathematics
**
3 credit hours

Prerequisites: Two years of high school algebra and a Math Enhanced ACT of at least 19 or DSPM 0850 or COMPASS placement. Algebra-based study of school mathematics in keeping with the recommendations of the National Council of Teachers of Mathematics. Tools for problem solving, set theory, functions, number theory, and examinations of number systems from counting numbers to irrational numbers. TBR Common Course: MATH 1410

**MATH 1420 - Informal Geometry
**
3 credit hours

Prerequisite: A grade of C or better in MATH 1410. Geometry-based study of school mathematics in keeping with the recommendations of the National Council of Teachers of Mathematics. Studies of plane, solid, coordinate, and motion geometry as well as constructions, congruence, similarity, and concepts of measurement. A variety of instructional technology tools investigated. TBR Common Course: MATH 1420

**MATH 1530 - Applied Statistics
**
3 credit hours

Prerequisites: Two years of high school algebra and a Math Enhanced ACT 19 or greater or equivalent. Descriptive statistics, probability, and statistical inference. The inference unit covers means, proportions, and variances for one and two samples, and topics from one-way ANOVA, regression and correlation analysis, chi-square analysis, and nonparametrics. TBR Common Course: MATH 1530

**MATH 1630 - College Mathematics for Managerial, Social, and Life Sciences
**
3 credit hours

Prerequisites: Two years of high school algebra and a Math Enhanced ACT greater than 25 or MATH 1710. Topics include solving systems of linear equations, Leontief models, linear programming, mathematics of finance, set theory, and probability theory. [TBR Common Course: MATH 1630]

**MATH 1710 - College Algebra
**
3 credit hours

Prerequisite: DSPM 0850 or two years of high school algebra; a Math Enhanced ACT 19 or greater or COMPASS placement. Course satisfies the General Education Mathematics requirement. Topics include functions--linear, quadratic, exponential, and logarithmic; analysis of graphs; linear systems; inequalities; counting principles; and probability. Graphing calculator required. Course may be taken by correspondence. Not open to those who have had MATH 1730. TBR Common Course: MATH 1710

**MATH 1720 - Plane Trigonometry
**
3 credit hours

Prerequisite: Strong background in algebra recommended. Trigonometric functions of the acute and general angle, circular functions, graphs of trigonometric and inverse functions, identities, solutions of right and general triangles, equations, complex numbers, and vectors. Not open to those who have had MATH 1730. Graphing calculator required. [TBR Common Course: MATH 1720]

**MATH 1730 - Pre-Calculus
**
4 credit hours

Prerequisite: MATH 1710 or successful completion of high school precalculus course. An integrated and rigorous study of the algebra and trigonometry needed to successfully attempt calculus. Emphasis on functions, their analysis and their applications. Level of algebraic sophistication developed above that found in MATH 1710. Topics include exponentials and logarithms, analysis of graphs, and word problems. Graphing calculator required. TBR Common Course: MATH 1730

**MATH 1810 - Applied Calculus I
**
3 credit hours

Prerequisite: MATH Enhanced ACT 19 or greater or MATH 1710. Introduces mathematical modeling applied to real-world problems. Sets, functions, inverse models, limits, continuity, first and second order model building, single variable differentiation, implicit differentiation, inverse problems (exponential and log models). First and second derivatives used to study the behavior of real-world applications.

**MATH 1910 - Calculus I
**
4 credit hours

Prerequisite: MATH 1730 with a grade of C or better or Math ACT of 26 or better or satisfactory score on Calculus placement test. An introduction to calculus with an emphasis on analysis of functions, multidisciplinary applications of calculus, and theoretical understanding of differentiation and integration. Topics include the definition of the derivative, differentiation techniques, and applications of the derivative. Calculus topics related to trigonometric, exponential, and logarithmic functions also included. Course concludes with the fundamental theorem of calculus; the definition of antidifferentiation and the definite integral; basic applications of integrations; and introductory techniques of integration. Graphing calculator required. TBR Common Course: MATH 1910

**MATH 1920 - Calculus II
**
4 credit hours

Prerequisite: MATH 1910 with C (2.00) or better. A topics course providing a wide view of different techniques and applications of calculus in the plane. Techniques of integration and applications of integration fully developed. Power series and Taylor series included. Emphasis on multidisciplinary applications includes Taylor series approximation; applications of integration to physics, biology, and business; and geometric and power series applications. Graphing calculator required. TBR Common Course: MATH 1920

**MATH 2010 - Elements of Linear Algebra
**
3 credit hours

Prerequisite: MATH 1910. Vectors and vector spaces, matrices and systems of linear equations, geometry of vector spaces and linear transformations in a vector space.

**MATH 2050 - Probability and Statistics
**
3 credit hours

Prerequisite: MATH 1810 or MATH 1910. Data analysis, probability, and statistical inference. The inference material covers means, proportions, and variances for one and two samples, one-way ANOVA, regression and correlation, and chi-square analysis. TBR Common Course: MATH 2050

**MATH 2110 - Data Analysis
**
1 credit hour

Prerequisite or corequisite: MATH 1530 or MATH 2050 or equivalent. Using computer software for graphing and analysis of scientific and statistical data.

**MATH 2530 - Applied Statistics II
**
3 credit hours

Prerequisite: MATH 1530 or MATH 2050 or equivalent. Explores the application of the following statistical methods: analysis of variance, simple and multiple regression models, categorical data analysis, and nonparametric methods. Three hours lecture per week.

**MATH 2930 - Cooperative Education
**
1 to 3 credit hours

Experiential learning that occurs in real employment situations. Must be taken in sequence or approved by the director of Cooperative Education. Graded on a pass/fail basis.

**MATH 2940 - Cooperative Education
**
1 to 3 credit hours

Experiential learning that occurs in real employment situations. Must be taken in sequence or approved by the director of Cooperative Education. Graded on a pass/fail basis.

**MATH 3070 - College Geometry
**
3 credit hours

Prerequisite: MATH 3460. Advanced treatment of standard topics in Euclidean geometry using informal and axiomatic approaches. Includes proofmaking techniques, traditional and transformational geometry, finite geometries, and a brief introduction to other geometries.

**MATH 3080 - Discrete Structures
**
3 credit hours

(Same as CSCI 3080.) Prerequisites: CSCI 1170 and MATH 1910 with C or better or consent of instructor. Topics include formal logic, proof techniques, matrices, graphs, formal grammars, finite state machines, Turing machines, and binary coding schemes.

**MATH 3110 - Calculus III
**
4 credit hours

Prerequisite: MATH 1920. Adjusts calculus techniques developed in the plane (Calculus I and II) to make them applicable in three-dimensional space. Introductory study of the nature of three-dimensional space and definition of the algebraic calculations in three-dimensional space. Differential and integral calculus definitions and techniques revised to appropriately transfer into this new space. Topics include multivariate functions, partial differentiation, partial integration, multiple integration, and multidisciplinary applications.

**MATH 3120 - Differential Equations I
**
3 credit hours

Prerequisite: MATH 1920 with C or better. The solution and application of ordinary differential equations with emphasis on first order equations, second order linear equations, Laplace Transform method, systems of differential equations, and numerical methods.

**MATH 3180 - Introduction to Numerical Analysis
**
3 credit hours

(Same as CSCI 3180.) Prerequisites: MATH 1910 and CSCI 1170 with C or better. Topics include series approximation, finite differences, interpolation, summation, numerical differentiation and integration, iteration, curve fitting, systems of equations and matrices, and error analysis.

**MATH 3260 - Differential Equations II
**
3 credit hours

Prerequisite: MATH 3120. A continuation of MATH 3120 with emphasis on series solutions, method of Frobenius, orthogonal functions, equations of Bessel, Legendre, Gauss, Chebyshev; introduction to partial differential equations.

**MATH 3300 - Discrete Mathematics for Middle Grades Teachers
**
3 credit hours

Prerequisites: MATH 1410, MATH 1420, and MATH 1730. Supports the development of prospective middle grades teachers' knowledge of discrete mathematics. Topics include set theoretic topics, logic, counting, probability, graph theoretic topics. Focuses on students' learning discrete mathematics topics as well as the teaching of related mathematical topics to middle grades students. Field experience in a nearby middle school incorporated.

**MATH 3310 - Functions: Connecting Algebra and Geometry for Middle Grades Teachers
**
3 credit hours

Prerequisites: MATH 1410, MATH 1420, and MATH 1730. Supports the development of prospective middle grades teachers' knowledge of functions and connections between algebra and geometry. Focuses on students connecting mathematics topics as well as the teaching of mathematical topics to middle grades students to support learning about the connected nature of mathematics. Field experience in a nearby middle school incorporated.

**MATH 3320 - Teaching Mathematics in the Middle Grades
**
3 credit hours

Prerequisite: Admission to the teacher education program. Required of all Mathematics majors seeking a license to teach mathematics in grades 6-12 and all Interdisciplinary Studies (Grades 6-8) Math majors. In-depth study of mathematics learning and teaching strategies in middle school mathematics. Selected topics provide a foundation for student investigations into the conceptual nature of mathematics and applications in the middle school curriculum. Must be taken prior to student teaching.

**MATH 3330 - Teaching Mathematics in the Secondary Grades
**
3 credit hours

Prerequisites: Admission to teacher education, completion of the mathematics core, and MATH 3320. Required of all Mathematics majors seeking a license to teach mathematics in grades 6-12 and all Interdisciplinary Studies (Grades 6-8) Math majors. In-depth study of mathematics learning and teaching strategies in secondary school mathematics. Selected topics provide a foundation for student investigations into the conceptual nature of mathematics and applications in the secondary school curriculum. Must be taken prior to student teaching.

**MATH 3340 - Statistics and Probability for Teaching
**
3 credit hours

Prerequisite: MATH 1530 or MATH 2050 with a C or better. Supports the development of prospective middle grades and secondary teachers' knowledge of statistics and probability. Examines in greater depth statistics and probability topics to which the student has prior exposure; emphasizes the relevance and implications of these topics to the middle school and secondary classrooms. Attention will be given to exploratory data analysis, probability, statistical association, and simulation-based inference.

**MATH 3460 - Foundation of Higher Mathematics
**
3 credit hours

Prerequisite: MATH 1920. The language of mathematics, set theory and proof, relations and functions, number systems, mathematical structures. Focuses on the transition from lower-division study to upper-division study by actively engaging the student in problem solving, mathematical reasoning, and both informal and technical writing.

**MATH 3970 - Cooperative Education
**
1 to 3 credit hours

Experiential learning that occurs in real employment situations. Must be taken in sequence or approved by the director of Cooperative Education. Graded on a pass/fail basis.

**MATH 3980 - Cooperative Education
**
1 to 3 credit hours

Experiential learning that occurs in real employment situations. Must be taken in sequence or approved by the director of Cooperative Education. Graded on a pass/fail basis.

**MATH 4010 - Selected Topics in Elementary Mathematics
**
3 credit hours

Prerequisites: MATH 1410, MATH 1420, and MATH 1730. Required of students who are preparing to teach grades 5-8. Examines in greater depth topics to which the student has prior exposure; emphasizes the relevance and implications of these topics to the middle school classroom.

**MATH 4200 - Introduction to Mathematics of Investment
**
3 credit hours

(Same as ACSI 4200.) Prerequisite: MATH 1920 or consent of instructor. Calculus and probability/statistics used to model and analyze investments in bonds, treasury bills, stocks, and other derivatives. Topics include obtaining the price of a bond as a function of interest rate, developing formulas for duration and convexity to study the sensitivity of price to interest rate, and mathematical modeling of investor preference and attitude toward risk.

**MATH 4230 - Vector Analysis
**
3 credit hours

Prerequisite: MATH 3110. A review of vector algebra and vector differentiation with emphasis on aspects of these topics not covered in previous calculus courses. Stress on line and surface integrals; Divergence Theorem and Stokes' theorem with generalizations and related topics.

**MATH 4250 - Theory of Calculus
**
3 credit hours

Prerequisites: MATH 3110 and MATH 3460. Theoretical development of limits, continuity, differentiation, and integration in one dimension.

**MATH 4270 - Introduction to Topology
**
3 credit hours

Prerequisites: MATH 3110 and MATH 3460. Fundamental concepts of topology including continuity, compactness, connectedness, separation axioms, and metric spaces.

**MATH 4280 - Undergraduate Research
**
1 to 4 credit hours

Prerequisite: Permission of department. Independent investigation of a selected research problem under the guidance of a faculty member resulting in an oral and written report of results. May be repeated for a maximum of four credits.

**MATH 4310 - Numerical Analysis I
**
3 credit hours

Prerequisites: CSCI 1170 and MATH 2010 or MATH 3180/CSCI 3180 or consent of instructor. Application of computer-oriented numerical algorithms to algebraic equations, differential and integral equations, and linear algebra. Rigorous mathematical treatment of error included.

**MATH 4320 - Numerical Analysis II
**
3 credit hours

Prerequisite: MATH 4310. A continuation of MATH 4310.

**MATH 4420 - Number Theory
**
3 credit hours

Prerequisite: MATH 3460. Divisibility, congruences, quadratic residues, Diophantine equations, quadratic forms, and continued fractions.

**MATH 4470 - Introduction to Modern Algebra
**
3 credit hours

Prerequisite: MATH 3460. A treatment of sets, relations, operations, and the construction of number systems in algebra.

**MATH 4510 - Abstract Algebra I
**
3 credit hours

Prerequisite: MATH 3460. An introduction to groups, with a brief introduction to rings, integral domains, and fields.

**MATH 4530 - Abstract Algebra II
**
3 credit hours

Prerequisite: MATH 4510. The theory of rings, fields, integral domains, and vector spaces.

**MATH 4540 - Topics in Secondary School Mathematics
**
3 credit hours

Prerequisites: Admission to teacher education; MATH 2010, MATH 2050, and MATH 3110. Required of all Mathematics majors seeking a license to teach mathematics in grades 7-12. Examines in greater depth topics to which the student has prior exposure; emphasizes the relevance and applications of these topics to the pre-college level classroom.

**MATH 4600 - Problems in Contemporary Mathematics
**
1 to 6 credit hours

Pass/Fail grading in specified sections.

**MATH 4601 - Problems in Contemporary Mathematics Complex Variables
**
3 credit hours

Prerequisite: MATH 3460. Fundamental principles and applications of complex variables.

**MATH 4602 - Problems in Mathematics
**
1 to 6 credit hours

Prerequisite: Consent of instructor. Problem-oriented course providing opportunities for mathematical study in areas of need.

**MATH 4620 - History and Philosophy of Mathematics
**
3 credit hours

Prerequisite: MATH 3460. Background in geometry and number theory helpful. The character of mathematical thought by way of mathematical problems that have occupied the outstanding mathematicians of Babylon, Egypt, Greece, China, the Renaissance, and modern times paralleled with a study of three schools of mathematical philosophy: intuitionism, logicism, and formalism.

**MATH 4700 - Combinatorics and Graph Theory
**
3 credit hours

Prerequisites: MATH 2010 and MATH 3460. Selected topics in combinatorics and graph theory emphasizing combinatorial problem solving and algorithmic proof.

**MATH 4740 - Research Methods
**
3 credit hours

(Same as ABAS/BIOL/GEOL/CHEM/PHYS 4740.) Prerequisite: YOED 3520. Provides secondary science and mathematics teacher candidates with the tools that scientists use to solve scientific problems. Students will use these tools in a laboratory setting, communicate findings, and understand how scientists develop new knowledge.

**MATH 4800 - Seminar in Mathematics with Technology
**
3 credit hours

Prerequisite: 18 semester hours in mathematics including calculus or consent of instructor; junior or senior standing; MATH 3110. Examines and utilizes the technological tools available for doing mathematics. Emphasis on non-numerical tools such as theorem provers and algebraic manipulation systems.

**MATH 4990 - Seminar in Mathematics
**
3 credit hours

Open only to Mathematics majors; normally taken during last regular semester of coursework. Required of all Mathematics majors. Offers graduating Mathematics majors a broad perspective of mathematics, mathematical activity, and problem solving in various areas of application; offers preparation for professional examinations; acquaints students with job possibilities and aids in career decisions; acquaints students with the nature of graduate study in mathematics. Pass/Fail.