Mathematics

All prerequisites for the following mathematics courses must be strictly observed unless waived with permission of the mathematics department. Students who have successfully completed any mathematics course may not enroll in any course prerequisite to the completed course without explicit permission of the department.

As of the beginning of each academic term, all drops or adds for mathematics courses must be approved by the Mathematics Department Chair. Individual instructors can not grant access to courses. 

M 103 Fundamental Mathematics (back to previous page)
Required at the inception of the program of study of all students (day and evening) who do not show sufficient competency with fundamental arithmetic and algebra, as determined by placement examination. Arithmetic operations, algebraic expressions, linear equations in one variable, exponents and polynomials, Cartesian coordinates, equation of a straight line and simultaneous linear equations. (Students placed in M 103 must successfully complete this course before taking any other course having mathematical content.) Students who take M 103 will have the total number of credits required for graduation increased by 3 credits. 3 credit hours (4 to 6 meeting hours per week).

M 109 Intermediate Algebra (back to previous page)
Prerequisite: A grade of C (not C-) or higher in M 103 or placement by the department. A review of the fundamental operations and an extensive study of functions, exponents, radicals, linear and quadratic equations. Additional topics include ratio, proportion, variation, progression and the binomial theorem. 3 credit hours.

M 115 Pre-Calculus (back to previous page)
Prerequisite: A grade of C (not C-) or higher in M 109 or placement by the department. Offers the foundation needed for the study of calculus. Polynomials, algebraic functions, elementary point geometry, plane analytic trigonometry and properties of exponential functions. 4 credit hours.

M 117 Calculus I (back to previous page)
Prerequisite: A grade of C (not C-) or higher in M 115 or placement by the department. The first year college course for majors in mathematics, science and engineering; and the basic prerequisite for all advanced mathematics. Introduces differential and integral calculus of functions of one variable, along with plane analytic geometry. 4 credit hours.

M 118 Calculus II (back to previous page)
Prerequisite: A grade of C (not C-) or higher in M 117. Continuation of first year calculus, including methods of integration, the fundamental theorem of calculus, differentiation and integration of transcendental functions, varied applications, infinite series and indeterminate forms. 4 credit hours.

M 121 Algebraic Structures (back to previous page)
A first course in an orientation to abstract mathematics: Elementary logic, sets, mappings, relations, operations, elementary group theory. Open to all freshmen and sophomores. 3 credit hours.

M 127 Finite Mathematics (back to previous page)
Prerequisite: M 103 or placement by the department. Functions and lines, linear systems, linear programming, mathematics of finance, sets and counting, and an introduction to probability. Numerous applications and an introduction to computing and computers. 3 credit hours.

M 166 Discrete Mathematics for Computer Science (back to previous page)
Prerequisite: CS 110. A foundation course for computer science majors.  Introduction to fundamentals, including logic, sequences, sets, functions, recursion, induction, proof methods, counting techniques, and Big-O notation.  3 credit hours.

M 203 Calculus III (back to previous page)
Prerequisite: A grade of C (not C-) or higher in M 118. The calculus of multiple variables, covering three dimensional topics in analysis, linear algebra, and vector analysis, partial differentiation, maxima and minima for functions of several variables, line integrals, multiple integrals, spherical and cylindrical polar coordinates. 4 credit hours.

M 204 Differential Equations (back to previous page)
Prerequisite: M 203. The solution of ordinary differential equations, including the use of Laplace transforms. Existence of solutions, series solutions, matrix methods, nonlinear equations and varied applications. 3 credit hours.

M 227 Mathematics for Elementary Education Teachers (back to previous page)
Prerequisite: M 109 or M 127 or placement by the department. From the point of view of a teacher, this is a review of the mathematics topics covered in elementary school and it covers the mathematical underpinnings of such topics as whole numbers, fractions, number theory, geometry, and measurement. Problem solving will be an underlying theme to the course. Not open to math majors. 3 credit hours.

M 228 Elementary Statistics (back to previous page)
Prerequisite: M 127. A noncalculus based course which includes basic probability theory, random variables and their distributions, estimation and hypothesis testing, regression and correlation. Emphasis on an applied approach to statistical theory with applications chosen from the biological sciences and other fields of study. Students will be introduced to and make use of the computer package SPSS for data analysis. 4 credit hours.

M 301 Geometry from a Modern Viewpoint (back to previous page)
Prerequisite: M 117. A modern approach to Euclidean geometry with emphasis on proofs; basic results on lines, planes, angles, polygons, circles, spheres; coordinate and vector viewpoints. 3 credit hours.

M 303 Advanced Calculus (back to previous page)
Prerequisite: M 204. A survey course in applied mathematics. Vector calculus: line and surface integrals, integral theorems of Green and Stokes, and the divergence theorem. Complex variables: elementary functions, Cauchy Riemann equations, integration, Cauchy integral theorem, infinite series, calculus of residues and conformal mapping. 3 credit hours.

M 304 Using Technology to Teach Mathematics (back to previous page)
Prerequisites: M 117, CS 210 or MM 301, or permission of department. Students will be introduced to a variety of technological tools (calculators, computer software, internet resources) useful in improving mathematics instruction. Students will investigate how technology can effectively be utilized in learning situations. Lesson plans will be developed incorporating technology. 3 credit hours.

M 305 Discrete Structures (back to previous page)
Prerequisite: M 118; corequisite: M 203. Methods of proof, the integers, induction, prime numbers, recursive algorithms, greatest common divisors, the Euclidean algorithm, the fundamental theorem of arithmetic, congruences. 3 credit hours.

M 308 Introduction to Real Analysis (back to previous page)
Prerequisite: M 204. Sets and functions, the real numbers, topology of the line, limits, continuity, completeness, compactness, connectedness, sequences and series, the derivative, the Riemann integral, the fundamental theorem of calculus, sequences and series of functions. 3 credit hours.

M 309 Advanced Differential Equations (back to previous page)
Prerequisite: M 204. Theoretical analysis and applications of non linear differential equations. Phase plane and space, perturbation theory and techniques, series and related methods, stability theory and techniques and relaxation phenomena. 3 credit hours.

M 311 Linear Algebra (back to previous page)
Prerequisite: M 203. Matrices, systems of linear equations and their solutions, linear vector spaces, linear transformations, eigenvalues and eigenvectors. 3 credit hours.

M 321 Modern Algebra (back to previous page)
Prerequisites: M 305 or M 311. Groups, rings, integral domains, fields, polynomials. 3 credit hours. M 325 Number Theory Prerequisite: M 305. Topics are selected from the following: mathematical induction, Euclidean algorithm, integers, number theoretic functions, Euler Fermat theorems, congruences, quadratic residues and Peano axioms. 3 credit hours.

M 325 Number Theory (back to previous page)
Prerequisite: M  305. Topics are selected from the following: Mathematical induction, Euclidean algorithm, integers, number theoretic functions, Euler-Fermat theorems, congruences, quadratic residues, and Peano axioms. 3 credit hours.

M 331 Combinatorics (back to previous page)
Prerequisite: M 311 or permission of the department. Problem solving using graph theory and combinatorical methods. Topics include counting methods, recurrence, generating functions, enumeration, graphs, trees, coloring problems, network flows and matchings. Special emphasis on reasoning which underlies combinatorical problem solving, algorithm development and logical structure of programs. 3 credit hours.

M 338 Numerical Analysis (back to previous page)
Prerequisites: M 203 and a standard programming language. Topics include: solutions of algebraic and transcendental equations by iterative methods; system of linear equations (matrix inversion, etc.); interpolation, numerical differentiation and integration; solution of ordinary differential equations. Scientific and engineering applications. 3 credit hours. (This course is cross listed with EE 341 Numerical Methods in Engineering).

M 361 Mathematical Modeling (back to previous page)
Prerequisites: At least junior status and M 311. Problem solving through mathematical model building. Emphasis on applications of mathematics to the social, life and managerial sciences. Topics are selected from probability, graph theory, Markov processes, linear programming, optimization, game theory, simulation. 3 credit hours.

M 371 Probability and Statistics I (back to previous page)
Prerequisite: M 203. Axiomatic study of probability: sample spaces, combinatorical analysis, independence and dependence, random variables, distribution functions, moment generating functions, central limit theorem. 3 credit hours.

M 381 Real Analysis (back to previous page)
Prerequisite: M 308. Foundation of analysis, sets and functions, real and complex number systems; limits, convergence and continuity, sequences and infinite series, differentiation. 3 credit hours.

M 403 Techniques in Applied Mathematics (back to previous page)
Prerequisite: M 204. Techniques in applied analysis including Fourier series; orthogonal functions such as Bessel functions, Legendre polynomials, Chebychev polynomials, Laplace and Fourier transforms; product solutions of partial differential equations and boundary value problems. 3 credit hours.

M 423 Complex Variables (back to previous page)
Prerequisite: M 204. For mathematics, science and engineering students. Review of elementary functions and Euler forms; holomorphic functions, Laurent series, singularities, calculus of residues, contour integration, maximum modulus theorem, bilinear and inverse transformation, conformal mapping, and analytic continuation. 3 credit hours.

M 441 Topology (back to previous page)
Prerequisite: M 381 or permission of department chair. Topics selected from the following: Hausdorff neighborhood relations: derived, open and closed sets; closure; topological space; bases; homeomorphisms; relative topology; product spaces; separation axioms; metric spaces; connectedness and compactness. 3 credit hours.

M 450-453 Special Topics in Mathematics (back to previous page)
Selected topics in mathematics of special or current interest. 3 credit hours.

M 472 Probability and Statistics II (back to previous page)
Prerequisite: M 371. Elements of the theory of point estimation, maximum likelihood estimates, theory of testing hypotheses, power of a test, confidence intervals, linear regression, experimental design and analysis of variance, correlation, and nonparametric tests. 3 credit hours.

M 473 Advanced Statistical Inference (back to previous page)
Prerequisite: M 472. This course is designed to provide an in depth treatment of statistical inference. Topics include distribution of functions of one or several random variables, N P structure of tests of hypothesis, properties of "good" estimators and the multivariate normal distribution. 3 credit hours.

M 481 Linear Models I (back to previous page)
Prerequisite: M 472. This course is designed to provide a comprehensive study of linear regression. Topics include simple linear regression, inference in simple linear regression, violations of model assumptions, multiple linear regression and the Extra Sum of Squares Principle. 3 credit hours.

M 482 Linear Models II (back to previous page)
Prerequisite: M 481. Continuation of M 481, with an emphasis on experimental design. Topics include single factor designs, two factor designs, multiple factor designs and randomized block designs. 3 credit hours.

M 491-499 Department Seminar (back to previous page)
A study of a mathematical topic or topics not covered in the above courses. Subject of study will be announced by the mathematics department in advance. A paper and/or seminar talk, suitable for presentation to all interested mathematics faculty, will be required. 3 credit hours.

M 599 Independent Study (back to previous page)
Prerequisite: consent of faculty member and department chair. Opportunity for the student, under the direction of a faculty member, to explore an area of interest. This course must be initiated by the student. 1-3 credit hours.

Mathematics - Graduate Courses

M 601 Mathematical Ideas (back to previous page)
This course is intended for students in the MS Education program. It surveys the development of mathematics through such key topics as geometry, trigonometry, abstract algebra, and calculus. While topics may vary with individual instructors, all instructors will introduce students to the contributions of mathematics to civilization and give students some understanding of the discipline of mathematics.

M 604 Using Technology to Teach Mathematics (back to previous page)
Prerequisites:  M 117, CS 210 or MM 301, or permission of department. Students will be introduced to a variety of technological tools (calculators, computer software, internet resources) useful in improving mathematics instruction. Students will investigate how technology can effectively be utilized in learning situations. Lesson plans will be developed incorporating technology. 

M 605 Biostatistics (back to previous page)
A non-calculus-based course which includes basic concepts of probability and statistics. These concepts are applied to problems in human biology, industrial/occupational health, and epidemiology. Introduction to and use of the computer package SPSS for data analysis. (See also BI 605.)

M 610 Fundamentals of Calculus (back to previous page)
Prerequisite: M 115 (pre-calculus mathematics) or equivalent. Review of algebra and trigonometric functions. Topics from calculus, including differentiation and integration methods applied to problems in science, business and the social sciences. A review of series.

M 611 Matrix Theory and Its Applications (back to previous page)
Prerequisite: undergraduate linear algebra or permission of instructor. Review of matrix algebra, systems of linear equations and rank; linear algebra in n-dimensions; inner product spaces and orthogonality; eigenvalues and eigenvectors; Hermitian, unitary and normal matrices; quadratic and Hermitian forms. The course covers topics in matrix theory needed for significant applications in engineering and computer science.

M 615 Linear Mathematics and Combinatorics (back to previous page)
Prerequisite: M 610 or equivalent. Discrete mathematics topics used extensively in computer science, including linear algebra, graph theory and combinatorics. Emphasis on applications to computer science.

M 616 Applied Modern Algebra for Computer Science (back to previous page)
Prerequisite: M 615. Advanced topics in logic and combinatorics as well as an introduction to discrete modern algebra and its applications to computer science.

M 620 Numerical Analysis (back to previous page)
Prerequisites: A minimum of 12 credit hours of undergraduate mathematics, including calculus and linear algebra; knowledge of a computer programming language such as Pascal, C programming, FORTRAN or BASIC. Topics include: solution of transcendental equations by iterative methods; solution of systems of linear equations (matrix inversion, etc.); interpolation, numerical differentiation, and integrations; solution of ordinary differential equations.

M 624 Applied Mathematics (back to previous page)
Prerequisite: A minimum of 12 credit hours of undergraduate mathematics, including calculus and differential equations. Special functions; Fourier series and integrals; integral transforms (Fourier, Laplace, etc.) and their use in solution of boundary value problems.

M 632 Methods of Complex Analysis (back to previous page)
Prerequisite: Graduate standing in engineering or mathematics. A study of the applications of the methods of complex variables to engineering and physical sciences. Includes analytic function theory, contour integration, and conformal mapping.

M 670 Selected Topics (back to previous page)
Prerequisite: Permission of the instructor. A study of selected topics of particular interest to the students and instructor. May be taken more than once.

M 690 Research Project (back to previous page)
Prerequisite: 15 graduate hours or permission of the instructor. Independent study under the supervision of an adviser.

M 695 Independent Study I (back to previous page)
A planned program of individual study under the supervision of a member of the faculty.

M 696 Independent Study II (back to previous page)
A continuation of Independent Study I.

M 698 Thesis I (back to previous page)
Prerequisite: 15 graduate hours. Periodic meetings and discussions of the individual student's progress in the preparation of a thesis.

M 699 Thesis II (back to previous page)
A continuation of Thesis I.