Mathematics (MTH)               Course Schedules

The complete description of the Department of Mathematics is found in the College of Science & Technology.

Descriptions of courses approved for the University Program appear in italic type.

Distance Learning Courses: Courses in the department approved for offering in a distance learning format include: MTH 106.

MTH 051 Review for Elementary Teachers Mathematics Proficiency Test 1-2(Spec) F, Sp
Review for elementary teachers proficiency tests on base ten numeration, common and decimal fractions, percentage, U.S. customary and metric measures, ratio and proportion, geometry, and algebra. Credit in this course does not count toward the total number of hours required for graduation. It does count in determining whether you are a full-time student. CR/NC only.

MTH 055 Elementary Algebra 3(3-0) F, Sp
The real number system, basic number theory, variables and algebraic expressions, exponents, the Cartesian coordinate system, linear equations, percent, operations with polynomials, reading charts and graphs. Word problems and calculator use are emphasized. Successful completion of this course satisfies the University Mathematics Competency requirement. Credit in this course does not count toward the total number of hours required for graduation. It does count in determining whether one is a full-time student. CR/NC only.

MTH 105 Intermediate Algebra 3(3-0) F, Sp
Algebraic expressions, functions, factoring, graphing, linear and quadratic equations, linear inequalities, systems of linear equations, rational expressions, radical, negatives and rational exponents. Prerequisite: placement test score; or successful completion of MTH 055 or equivalent.

MTH 106 Plane Trigonometry 3(3-0) F, Sp
Solutions of triangles, trigonometric equations, and identities. No credit in MTH 106 after credit earned in MTH 130. Course does not count toward a major, minor in mathematics except for students pursuing a B.S. in Ed., Elementary Emphasis. Prerequisite: one and one-half years of high school algebra; or successful completion of MTH 105 and one year of high school geometry.

MTH 107 College Algebra 3(3-0) F, Sp
Complex numbers, introduction to functions, zeros, graphing, linear functions, quadratic functions, intersections of graphs, interpreting graphs, inequalities, polynomial and rational functions, algebra of functions. Course does not count toward a major, minor in mathematics except for students pursuing a B.S. in Ed., Elementary Education. Prerequisites: successful completion of MTH 105, or equivalent competency.

MTH 108 Trigonometry 1(1-0) F, Sp
Analytic trigonometry including radian measure, trigonometric functions and identities. This supplement to previous work in trigonometry may be taken concurrently with MTH 130, MTH 132 or MTH 136. No credit after completion of MTH 106. Does not count toward a major or minor in mathematics. Prerequisites: previous knowledge of trigonometry.

MTH 116 Mathematics for Business I 3(3-0) F, Sp
Mathematical models, applications of linear, quadratic, exponential and logarithmic functions, linear algebra, linear programming, and the simplex algorithm. Does not count on major/minor in mathematics . Prerequisites: C or better in MTH 105, or passing another math class 100-level or higher with C or better, or transferring credit in a math class comparable MTH 105 or higher, or 50% or better on the Basic Mathematics Placement Test, or a score of 11 or above on the Elementary Algebra portion of the ACT, or a score of 10 or above on the Intermediate Algebra portion of the ACT .

MTH 130 Pre-Calculus Mathematics 4(4-0) F, Sp
Sets, mathematical induction, functions, relations, theory of equations, analytic geometry. Prerequisites: two years of high school algebra (or MTH 107); trigonometry (or MTH 106) or equivalents.

MTH 132 Calculus I 4(4-0) F, Sp
Limits, continuity, differentiation of algebraic and trigonometric functions, applications of antiderivatives, definite integrals and Fundamental theorem, exponential and logarithmic functions. Credit may not be earned in both MTH 132 and 136 of calculus. Prerequisite: MTH 130 or equivalent. (Group II-B)

MTH 133 Calculus II 4(4-0) F, Sp
Techniques of integration, applications of definite integrals, improper integrals, elementary differential equations, indeterminate forms, infinite series, Taylor series, polar coordinates and complex numbers. Prerequisite: MTH 132.

MTH 151 Mathematics for Elementary Teachers I 3(3-0) F, Sp
Mathematical background for elementary teachers. Sets, numeration systems, operations with natural numbers, rational numbers, elementary number theory. Admission limited to students pursuing a B.S. in Ed., Elementary Emphasis. No credit in both MTH 151 and MTH 201 except by permission of department chairperson. Prerequisite: one of: MTH 105, MTH 106, MTH 107, MTH 130, MTH 132.

MTH 152 Mathematics for Elementary Teachers II 3(3-0)
Continuation of MTH 151. Decimals, percent, ratio/proportion, geometry (concepts and measurement), probability, statistics, introduction to algebra. Prerequisites: MTH 151 and one of: MTH 105, MTH 106, MTH 107, MTH 130, MTH 132.

MTH 175 Discrete Mathematics 3(3-0) F, Sp
Topics in discrete mathematics including sequences, graphs, mathematical induction, recursion, number theory, combinatorial counting, difference equations, algorithms, and Boolean Algebra. No credit in MTH 175 after credit in MTH 375 or MTH 332. Prerequisite: MTH 130 or equivalent.

MTH 200 Mathematics -- A Cultural Approach 3(3-0) F, Sp
The role of mathematics in molding our civilization and culture and the relationship of mathematics in such diverse disciplines as philosophy, logic, religion, literature, the physical and social sciences, music, painting, and other arts. This course does not satisfy Mathematics Competency Requirement. (Group I-A)

MTH 201 Fundamentals of Mathematics 3(3-0)
History of mathematics, mathematical logic, numeration systems, properties of natural numbers and fractions, statistics, and selected subjects from algebra and geometry. No credit in course for anyone who has three or more years of high school mathematics or MTH 151. May not be counted toward major, minor in mathematics. For IPCD use only.

MTH 203 Mathematics -- A Modeling Approach 3(3-0) F, Sp
The role of mathematics in modeling real world phenomena is explored. Such mathematical areas as graph theory, linear programming, probability theory, and difference equations are developed as solution techniques for concrete problems from many disciplines. Prerequisite: two years of high school mathematics. (Group II-B)

MTH 216 Mathematics for Business II 3(3-0) F, Sp
Continuation of MTH 116. Mathematics of finance, applications of differential and integral calculus of one variable. Prerequisite: MTH 116.

MTH 217 Business Calculus 4(4-0)
Differentiation and integration of algebraic, exponential, and logarithmic functions, applications of differentiation and integration, partial derivatives.  Does not count toward a major or minor in mathematics.  Prerequisite:  MTH 107.

MTH 223 Linear Algebra and Matrix Theory 3(3-0) F, Sp
Systems of linear equations, matrices, determinants, vectors, vector spaces, eigenvalues, linear transformations, applications and numerical methods.  Prerequisite:  MTH 132.

MTH 232 Linear Algebra and Differential Equations 3(3-0)
First order differential equations, systems of linear differential equations, matrices, vector spaces, linear transformations and eigenvalues. May not be counted towards major or minor in mathematics. Credit may not be earned in both MTH 223 and MTH 232, or in both MTH 334 and MTH 232. Prerequisite: MTH 133.

MTH 233 Calculus III 4(4-0) F, Sp
Vectors and surfaces in R3, vector-valued functions, functions of several variables, partial differentiation and some applications, multiple integrals, vector calculus. Prerequisites: MTH 133, and either MTH 223 or MTH 232.

MTH 251 Geometry for Elementary Teachers 3(3-0) F, Sp
Geometrical concepts such as parallelograms, triangles, circles, spheres, volume, and area. Admission limited to students pursuing a B.S. in Ed., Elementary Emphasis. May not be counted toward major, minor in mathematics except on Elementary Education Curriculum. Prerequisites: MTH 151, MTH 152.

MTH 253 History of Elementary Mathematics 2(2-0) F, Sp
History of numeral systems, computational algorithms and devices, time, number theory, calendar, geometry. Admission limited to students pursuing a B.S. in Ed., Elementary Emphasis. Credit may not be earned in both MTH 253 and MTH 573. Prerequisite: MTH 151, MTH 152.

MTH 278 Mathematical Models 3(3-0)
Mathematical modeling of real world problems using concepts learned in algebra, calculus and statistics. Prerequisites: MTH 132 or MTH 216 or equivalent. Corequisite: STA 282 or MTH 382 or equivalent.

MTH 296 Special Topics in Mathematics 1-6(Spec)
Subject matter not included in regular course. May be taken for credit more than once, total credit not to exceed 6 hours. Prerequisite: permission of instructor.

MTH 332 Introduction to Analysis 3(3-0) F, Sp 
Study of several basic concepts in mathematics including logic, set theory, relations and functions, cardinality, number systems, sequences. Prerequisite: MTH 223.

MTH 334 Differential Equations 3(3-0) F, Sp
Definition and solution of first, second, and higher order differential equations. Prerequisites: MTH 137; or MTH 133, MTH 223.

MTH 341 College Geometry 3(3-0) F, Sp
Advanced modern geometry and foundations. Prerequisite: MTH 223.

MTH 361 - Field Experience in Teaching Mathematics 1(Spec) F, Sp
Preparation for and experience in working with students in secondary (7-12) mathematics classrooms. Prerequisites: MTH 223.

MTH 375 Discrete Structures 3(3-0)
Relation between set theoretic operations and computer operations, applications of graph theory, graphical algorithms, discrete algebraic structure. Prerequisites: MTH 133 or MTH 223; MTH 175; or permission of instructor; a knowledge of a programming language.

MTH 397 Independent Study 1-6(Spec) F, Sp
Open to students with permission of instructor. May be taken for credit more than once, total credit not to exceed 6 hours.

MTH 434 Methods of Applied Mathematics 3(3-0)
Topics in applied mathematics and boundary value problems and orthogonal functions, partial differential equations, and complex variables. Prerequisites: MTH 233, MTH 334.

MTH 438 Numerical Analysis I 3(3-0) F
Computational methods for solving non-linear equations and systems of linear equations. Interpolation, numerical differentiation and integration. Prerequisites: MTH 133, MTH 223; or their equivalents; knowledge of a programming language; or permission of instructor.

MTH 439 Numerical Analysis II 3(3-0) Sp
Continuation of MTH 438. Solutions to ordinary differential equations. Study of approximation theory and solutions to nonlinear systems of equations. Prerequisite: MTH 438.

MTH 461 Teaching of Secondary School Mathematics 4(4-0)
Materials, teaching techniques for prospective secondary mathematics teacher. Course does not count as one of two 400 or 500 level courses on mathematics major. May not be counted toward a major or minor in mathematics except for students pursuing a B.S. in Ed. degree. Open only to seniors and approved juniors. Prerequisites: MTH 223; MTH 341.

MTH 496 Special Topics in Mathematics 1-6(Spec)
Subject matter not included in regular course. May be taken more than once, total credit not to exceed 6 hours. Prerequisite: permission of instructor.

MTH 499 Capstone Course in Mathematics 3(3-0) Sp
Material in core mathematics courses is unified through study of subject matter excluded from regular mathematics courses, in the areas of classical and applied mathematics. Prerequisites: MTH 133, MTH 332; permission of instructor.

MTH 520 Optimization Theory 3(3-0)
The theory of and computer methods in classical and modern optimization, using linear programming. Prerequisites: knowledge of FORTRAN, MTH 223, MTH 233 or permission of instructor.

MTH 521 Theory of Numbers 3(3-0)
Properties of integers, congruencies, greatest common divisors and prime factorization, applications of number theory to computer science and cryptology. Prerequisite: MTH 332 or permission of instructor.

MTH 523 Modern Algebra I 3(3-0) F, Sp
Groups, rings, integral domains, fields, and fundamental homomorphism theorems. Prerequisite: MTH 332 or graduate status.

MTH 525 Modern Algebra II 3(3-0)
Vector spaces, subspaces, bases and dimensions; linear transformations, their algebra, their representation by matrices, and linear functionals; eigenvalues, triangulable and diagonalizable transformations; inner product spaces. Prerequisite: MTH 523.

MTH 532 Advanced Calculus I 3(3-0) F
Rigorous development of calculus for functions of one variable. Sequences, limits, continuity, differentiation, integration, exponential and logarithmic functions, arc length, series. Prerequisites: MTH 233 and MTH 332, or graduate status.

MTH 533 Advanced Calculus II 3(3-0) Sp
Continuation of MTH 532. Rigorous development of calculus for functions of several variables. Limits, continuity, differentiation, and integration. Prerequisite: MTH 532.

MTH 539 Mathematical Foundations of Actuarial Science 3(3-0) Sp
Develop a knowledge of fundamental mathematical tools for quantitatively assessing risk. The application of these tools to problems encountered in actuarial science is emphasized. Does not count toward graduate degree. CR/NC only. Prerequisites: FIN 257; STA 584.

MTH 545 Introduction to Point-Set Topology 3(3-0)
Development of elementary point-set topology. Sets, functions, metric spaces, topological spaces, quotient surfaces, compactness, and connectedness. Prerequisite: MTH 332 or graduate status.

MTH 551 Number Systems for Elementary Teachers 3(3-0)
Continuation of MTH 151. Integers, real numbers, mathematical sentences, number theory, mathematical systems. Credit will not apply toward master's degree in mathematics. Prerequisites: MTH 107, MTH 152.

MTH 554 Probability and Statistics for Elementary and Middle School Teachers 3(3-0)
Examines experimental probability and statistics suitable for elementary and middle school. Data gathering, organizing and presenting. Credit will not apply toward Master's degree in mathematics. Prerequisites: MTH 107, MTH 152.

MTH 556 Microcomputers for Elementary Mathematics Teachers 3(3-0)
Develops the use of microcomputers in elementary education with particular emphasis on mathematical applications. Computer literacy and BASIC Programming are included. Open only to those students pursing a B.S. in Elementary Emphasis. Prerequisites: MTH 107, MTH 251 or equivalent.

MTH 565 Using Graphics Calculators in Mathematics Education 1(1-0)
Course is designed for secondary mathematics education majors and minors. Emphasis will be on the classroom use of graphics calculators to teach mathematics. Prerequisites: MTH 132; with MTH 223 as a corequisite.

MTH 566 Microcomputers for Secondary Mathematics Teachers 3(3-0)
Examines microcomputer use in secondary education with particular emphasis on mathematical applications. Open only to those students pursuing a B.S. in Ed., Secondary Emphasis. Prerequisite: MTH 223 or equivalent.

MTH 570 Mathematical Logic 3(3-0)
Logical connectives, truth tables, quantifiers, models, logical truth. Incompleteness and undecidability of elementary number theory. Prerequisite: MTH 332.

MTH 573 History of Mathematics 3(3-0) F, Sp
History of arithmetic, algebra, geometry, calculus. Prerequisites: MTH 332 or MTH 341, or graduate status.

MTH 578 Combinatorics I 3(3-0)
Construction of mathematical models, combinatorics and graph theory. Prerequisite: MTH 523.

MTH 586 Operations Research I 3(3-0)
Mathematical theory and applications of mathematical programming. Linear programming duality, integer programming, mixed integer programming, and dynamic programming. Prerequisites: MTH 133, knowledge of FORTRAN.

MTH 587 Operations Research II 3(3-0)
Continuation of MTH 586. Theory and application of stochastic models in operations research. Inventory models, queuing theory. Markov chains, stochastic programming. Prerequisites: STA 382, MTH 586, or equivalent.

MTH 591 Seminar in the Solution of Putnam Problems 1-3(Spec)
Problem-solving techniques demonstrated through solutions of the Putnam Examination problems. Designed particularly for those students interested in participating in the Putnam Examination. Prerequisite: MTH 233; permission of instructor.

MTH 594 Seminar in Higher Mathematics 3(3-0)
Class presentation of results of independent study, and final comprehensive written report in an approved subject. Prerequisite: one year of calculus; permission of instructor.

MTH 595 Special Topics in Mathematics Education 1-6(Spec)
Subject matter not included in regular mathematics education course. May be taken for credit more than once, total credit not to exceed 6 hours. Does not count as one of two 400 or 500-level courses required on mathematics major. May not be counted toward a major or minor in mathematics except for students pursuing a B.S. in Ed. degree. Prerequisite: permission of instructor.

MTH 596 Special Topics in Mathematics 1-6(Spec)
Subject manner not included in regular course. May be taken for credit more than once, total credit not to exceed 6 hours. Prerequisite: permission of instructor.

MTH 597 Independent Study 1-6(Spec) F, Sp
Open to students with permission of instructor. May be taken for credit more than once, total credit not to exceed 6 hours.

For 600 and 700 level course descriptions consult the current Graduate Bulletin.

MTH 619 Continuing Registration for Final Research Project 1(1-0)

MTH 623 The Theory of Groups 3(3-0)

MTH 625 Theory of Associative Rings 3(3-0)

MTH 632 Introduction to Real Analysis and Its Applications 3(3-0)

MTH 633 Real Variables 3(3-0)

MTH 634 Fourier Analysis 3(3-0)

MTH 636 Introduction to Complex Variables 3(3-0)

MTH 637 Complex Variable Theory 3(3-0)

MTH 638 Theoretical Numerical Analysis 3(3-0)

MTH 641 Topics in Geometry 3(3-0)

MTH 645 Topology 3(3-0)

MTH 651 Basic Ideas and Procedures in Elementary School Arithmetic 3(3-0)

MTH 652 The Teaching of Measurement 3(3-0)

MTH 656 Teaching & Learning Mathematics with Technology 3(3-0)

MTH 658 Workshop in Teaching Mathematics 1-6(Spec)

MTH 660 Laboratory: Construction and Use of Teaching Aids in Mathematics 2(1-2)

MTH 661 Teaching of Middle School Mathematics 3(3-0)

MTH 666 Seminar: Problems in the Teaching and Supervision of Secondary Mathematics 3(3-0)

MTH 671 Introduction to the Axiomatic Method 3(3-0)

MTH 673 History of Advanced Mathematics 3(3-0)

MTH 678 Combinatorics II 3(3-0)

MTH 692 Graduate Seminar in Mathematics Education 1-4(Spec)

MTH 693 Graduate Seminar in Mathematics and Its Applications 1-4(Sp) F, Sp

MTH 694 Practicum in Mathematics 3(3-0)

MTH 695 Special Topics in Mathematics Education 1-6(Spec)

MTH 696 Special Topics in Mathematics 1-6(Spec)

MTH 697 Independent Study 1-9(Spec) F, Sp

MTH 698 Plan B Project 1-2(Spec)

MTH 725 Topics In Algebra 3(3-0)

MTH 732 Functional Analysis 3(3-0)

MTH 734 Partial Differential Equations and Applications 3(3-0)

MTH 761 Methods for Teaching College Mathematics 3(3-0)

MTH 762 Research in Collegiate Mathematics Education 3(3-0)

MTH 764 Qualitative Research Methods in Mathematics Education 3(3-0)

MTH 766 Internship: College Teaching 3-6(Spec)

MTH 767 Seminar in Collegiate Mathematics Education I 3(3-0)

MTH 768 Seminar in Collegiate Mathematics Education II 3(3-0)

MTH 778 Topics in Combinatorics 3(3-0)

MTH 796 Special Topics in Mathematics 1-6(Spec)

MTH 797 Independent Study 1-9(Spec) F, Sp

MTH 798 Thesis 1-6(Spec)

MTH 898 Dissertation 1-30(Spec)

Credit Limitation. Mathematics courses in the department that are subject to graduate credit limitation under the policy covering unspecified content or variable credit are: MTH 591, 594, 595, 596, 597, 651, 658, 692, 693, 695, 696, 697, 698, 796, 797.

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