Courses in Mathematics (MATH), Mathematics Education (MAED), and Critical Thinking Quantitative Reasoning (CTQR)

Mathematics (MATH)

MATH 101: Precalculus Mathematics I (3)

Preparation for the study of calculus, including linear functions, polynomials, rational functions, exponential and logarithmic functions. 

Prerequisite(s): Intermediate high school algebra, satisfactory score on mathematics department placement test.

Credit will not be allowed for MATH 101, Math101E, and MATH 103. Offered in the fall, spring and summer.

MATH 101E: Algebra and Precalculus Mathematics I (3:3:3)

Preparation for the study of calculus, including basic algebra, polynomials, and linear functions, rational, exponential and logarithmic functions. Three lectures per week accompanied by two computer tutorial lab meetings per week.

Prerequisite(s): Intermediate high school algebra. Placement by mathematics department diagnostic test.

Credit will not be allowed for MATH 101, Math 101E, and MATH 103. Offered in the fall, spring and summer.

MATH 103: Algebra and Trigonometry (4)

A semester course designed specifically for the students in science and mathematics majors to prepare for the study of calculus, including topics in MATH 101 and further study in trigonometry. 

Prerequisite(s): High school Algebra II and a satisfactory score on the departmental mathematics diagnostic test. 

Credit will not be allowed for MATH 103, 101E, and MATH 101. Offered in the fall and spring. 

MATH 104: Trigonometry for Calculus (1)

This course is designed to be taken concurrently with  MATH 101 or MATH 201. Contents includes basic properties and identities of trigonometry, Euler's formula, double angle identities and inverse functions. 

Prerequisite(s): Permission of Mathematics Department

Corequisite(s): MATH 101 or MATH 201

 Offered in the fall and spring. 

MATH 105: Calculus for the Managerial and Life Sciences (3)

Calculus from a non-theoretical perspective, including rates of change, the derivative, maximizing and minimizing functions, exponential and logarithmic functions, indefinite and definite integrals. 

Prerequisite(s): MATH 101, 101E, or 103.

Credit will not be allowed for MATH 105 and MATH 201. Offered in the fall, spring and summer.

MATH 141: Finite Probability and Statistics (3)

Elementary topics in probability and statistics, including descriptive statistics, the binomial and normal distributions, estimation, hypothesis testing, simple linear regression and correlation. 

Prerequisites: MATH 101, 101E, 103, or CTQR 150 or a course with MATH 101 as a prerequisite.

Offered in the fall, spring and summer.

MATH 201: Calculus I (3)

Limits, continuity, and the definition of the derivatives; techniques of differentiation, graphing, maximum/minimum and related rate problems; definite integrals and the fundamental theorem of calculus.

Prerequisite(s): MATH 101 and MATH 104, or MATH 103, or satisfactory score on the Mathematic’s Department placement test.

Corequisite(s):  MAED 200.

Notes:  Credit will not be allowed for MATH 105 and MATH 201.  Offered in fall, spring,  and summer.

MATH 202: Calculus II (3)

Applications of integration, transcendental functions, techniques of integration, improper integrals, sequences, series, and power series. 

Prerequisite: MATH 201. 

Offered in the fall, spring and summer.

MATH 261: Foundations of Discrete Mathematics (3)

Introduction to various numeration systems, including binary and hexadecimal; elementary set theory, logic and combinatorics; recursion, mathematical induction, elementary matrix operations and Boolean algebra.

Prerequisite: MATH 101 or equivalent. 

Offered in the fall, spring and summer.

MATH 291: Mathematics for the Prospective Elementary Teacher (3)

Theory and practice of elementary school arithmetic.

 Prerequisite: CTQR 150

Enrollment restricted to elementary education, special education, and early childhood education majors. 

Offered in the fall, spring and summer.

MATH 292: Geometry for the Prospective Elementary Teacher (3)

Informal theory and practice of plane and solid geometry. 

Prerequisite: MATH 291 or permission of the instructor. 

Offered in the fall, spring and summer.

MATH 300: Linear Algebra (3)

Matrices and the solution of systems of linear equations; elementary theory of vector spaces and linear transformations; determinants, eigenvalues, and eigenvectors. 

Prerequisite: MATH 201 and 3 additional hours of MATH courses. 

Corequisite: MATH 202. 

Offered in the fall and spring.

MATH 301: Calculus III (3)

Conic sections and polar coordinates; vectors in two and three dimensions, including lines and planes; calculus of vector-valued functions; functions of several variables and partial derivatives. 

Prerequisite: MATH 202. 

Offered in the fall and spring.

MATH 301H: Honors Calculus III (3)

Sequences, series and power series; conic sections; vectors in two and three dimensions, including lines and planes; the calculus of vector-valued functions. 

Enrollment restricted to freshmen only.

Prerequisite: Satisfactory score on AP Calculus AB exam or permission of the Chair. 

Corequisite: MAED 200

Offered in the fall.

MATH 302: Calculus IV (3)

Applications of partial derivatives, Lagrange multipliers, multiple integration, line integrals, surface integrals, Green's theorem, the divergence theorem, and Stokes' theorem. 

Prerequisite: MATH 301. 

Offered in the spring.

MATH 302H: Honors Calculus IV (3)

Functions of several variables, partial derivatives and their applications; Lagrange multipliers; multiple integration, line and surface integrals; Green's theorem, the divergence theorem and Stokes' theorem. 

Prerequisite: MATH 301H. 

Offered in the spring only.

MATH 305: Introduction to Differential Equations (3)

Techniques for the solution of first and second order ordinary differential equations, and linear systems of first order ordinary differential equations. 

Prerequisite: MATH 202. 

Offered in the spring of alternate years.

MATH 340 A, B, C: Cooperative Experience (1), (2), (3)

Provides on-the-job training in a professional field related to a student's major or career interests.

Prerequisites: Overall GPA of 2.5 and a minimum of 24 earned undergraduate semester hours. Placement objectives must be approved by Department Chair prior to enrollment.

For Mathematics majors only. Courses may be repeated for credit; however, a maximum of 3 hours may be applied toward a degree in Mathematics. Offered in fall, spring, and summer

MATH 351: Introduction to Modern Algebra (3:3--1)

Standard topics in the theory of groups and rings, including symmetric, dihedral, and cyclic groups, equivalence relations, integral domains, and group and ring homomorphisms. Emphasis is placed on the proper construction of mathematical proofs. 

Prerequisite: MATH 300 and MATH 301. 

Offered in the fall and spring.

MATH 355: Combinatoric Methods (3)

Applications of counting methods to mathematical modeling and problem solving. 

Prerequisite: MATH 300. 

Offered in the spring of alternate years.

MATH 375: Optimization Techniques (3) 

Mathematical modeling using linear programming and other methods of optimization.

Prerequisites: MATH 300  or permission of the instructor.

Corequisite: MATH 302

Offered in the spring.

Math 503: Vector Calculus (3)

Vectors, tensors, and differential forms; covariant differentiation, curvature, and elementary differential geometry. 

Prerequisite: MATH 301. 

Offered on request.

MATH 509: Real Analysis I (3)

Topics in the study of functions of a real variable, including limits, continuity, differentiation, sequences, series and Riemann integration. 

Prerequisite: MATH 522 or equivalent. 

Offered in the spring.

MATH 520: Foundations of Geometry (3)

Topics in Euclidean and non-Euclidean geometry, including incidence geometry, congruence, similarity, area theorems, circles and spheres. 

Prerequisite: MATH 300. 

Offered in the fall.

MATH 522: Elements of Set Theory and Introduction to Topology (3)

Fundamentals of set theory and point-set topology, including functions, Cartesian products, topological spaces, open and closed sets, metric spaces, and compact sets. 

Prerequisite: MATH 300 and MATH 301. 

Offered in the fall and spring.

MATH 535: Numerical Analysis (3)

Analysis of algorithms, including polynomial approximation of real functions, numerical differentiation and integration and manipulation of matrices. 

Prerequisite: MATH 300 and MATH 301 or permission of chair, Department of Mathematics. 

Offered on demand.

MATH 541: Probability and Statistics I (3)

Probability theory from an axiomatic viewpoint, including combinatorics, discrete and continuous random variables, and multivariate distributions. 

Prerequisite: MATH 302. 

Offered in the fall.

MATH 542: Probability and Statistics II (3)

Statistical inference from a mathematical viewpoint, including the central limit theorem, point and interval estimation, and regression. 

Prerequisite: MATH 541. 

Offered in spring.

MATH 543: Introduction to Stochastic Processes (3)

A survey of stochastic processes and their applications to probabilistic modeling. Topics will include discrete and continuous time Markov processes, Poisson process and time-series analysis.

Prerequisites: MATH 300 and MATH 541

Offered in spring

MATH 545: Statistical Theory and Methods II (3)

Analysis of linear models, including both regression and ANOVA models. Contingency tables are also studied. 

Prerequisite: MATH 541. 

Offered in the spring of alternate years

MATH 546: Applied Statistics for the Sciences (3)

Survey of statistical methodology applied to problems from the sciences with emphasis on the area of Health and Human Nutrition. Statistical tests will be reviewed and applied to current issues.

Prerequisites: MATH 141 or permission of the instructor.

Offered in the fall and summer.

MATH 547: Introduction to Categorical Models (3)

An introduction to the analysis of categorical data. Topics will include methods for comparison of binomial proportions, r x c contingency tables and logistic and loglinear modeling.

Prerequisites: MATH 542

Offered in the fall.

MATH 551: Algebraic Structures (3)

Theory of rings and fields, with special attention to PID's, UFD's, Euclidean domains, and modules. 

Prerequisite: MATH 351 or equivalent. 

Offered in the spring of alternate years.

MATH 553: Theory of Numbers (3)

Divisibility, primes, congruences, special functions, continued fractions, and rational approximations. 

Prerequisite: MATH 351 or equivalent. 

Offered in the spring of alternate years.

MATH 575: Optimization Techniques II (3)

A continutation of MATH 375. Areas of study include mathematical modeling, integer programming, combinatorial optimization, and network algorithms.

Prerequisites: MATH 375

Offered at variable times

MATH 595: History of Mathematics (3)

A introduction to the history of mathematics.

Prerequisites: MATH 300

Offered on request.

MATH 610: Real Analysis II (3)

Continuation of MATH 509, including the following topics: Riemann-Stieltjes integration, uniform convergence, l_p and L_p spaces, the Stone-Weierstrass theorem and the implicit function theorem.

Prerequisite: MATH 509. 

Offered in the fall.

MATH 615: Measure Theory (3)

Course includes studies in limit supremum, limit infimum, Borel sets, outer measure. Lebesgue measure, Littlewood's principles, Riemann and Lebesgue integration, monotone functions and the differentiation of an integral.

Prerequisites: MATH 610 or permission of chair, Department of Mathematics

Offered on request.

MATH 617: Measure Theory II (3)

Course includes integration theory and differentiation of integrals on abstract measure spaces, general convergence theorems, signed measures and the Radon-Nikodym theorem.

Prerequisites: MATH 615 or permission of the chair, Department of Mathematics.

Offered on request.

MATH 649: Nonparametric Statistics (3)

A survey of current nonparametric techniques. Topics will include the sign test, runs test, Wilcoxon rank-sum test and the Kruskal Wallace test.

Prerequisites: MATH 542

Offered on request.

MATH 650: Selected Topics in Mathematics (3)

An in-depth examination of a particular topic in graduate mathematics. Selections may be from the areas of algebra, probability and statistics, analysis or geometry

Prerequisites: MATH 302, MATH 351, and MATH 541 or equivalent; and permission of instructor.

May be retaken for additional credit. 

MATH 655: Advanced Linear Algebra (3)

Theory of linear transformations and their applications. 

Prerequisite: MATH 300. 

Offered on request.

MATH 656: Topics in Module Theory (3).

Introduction to modules and operations on submodules including quotient modules, direct sums, free modules, and basic homological algebra. 

Prerequisite: MATH 551 or permission of the Chair. 

Offered on request.

MATH 681: Microcomputers and Scientific Calculators (3)

Programming and use of microcomputers and graphing calculators (Casio, HP and TI) with special attention to algebraic manipulation, calculus, matrix and vector operations, and statistical computation. 

Offered in the summer and on request.

Mathematics Education (MAED)

MAED 200: Introduction to Mathematica (1)

Basics of the comprehensive computer algebra system Mathematica are covered. Applications to calculus topics will include functions, limits, derivatives, integration, and graphics, as well as used in mathematical instruction.

Prerequisite: MATH 101 or MATH 103 or satisfactory score on the mathematics department placement test.

MAED 391: Principles of Teaching Mathematics (3)

Students will spend a minimum of 8 hours per week in the classroom under the supervision of a mathematics education professor and will work with a mentor teacher in preparation for the final internship experience.

Prerequisite(s): MAED 548, Admission to Teacher Education Program.
Corequisites: MAED 392, EDUC 390.

Notes: A grade of S or U is recorded. Offered in the fall.

MAED 392: Field Experience in Teaching Mathematics (1:0-8)

Students will spend a minimum of 8 hours per week in the classroom under the supervision of a mathematics education professor and will work with a mentor teacher in preparation for the final internship experience.

Prerequisites: Admission to Teacher Education Program.
Corequisites: MAED 391, EDUC 390.

Notes: A grade of S or U will be recorded. Offered in the fall

MAED 548: Secondary Math Curriculum and Pedagogy Issues (3:3-1)

A study of the secondary mathematics curriculum (7-12). This course addresses specific instructional needs and techniques related to the teaching of secondary mathematics concepts.

Prerequisites: Admission to Teacher Education Program.

Notes: Intensive writing course. Offered in the spring.

MAED 591: Principles of Teaching Mathematics (3/3)

This course addresses specific instruction needs and techniques related to the teaching of mathematics and is designed for students in MAT program.

Prerequsite(s): MAED 548, Graduate status and Admission to Teacher Education Program.
Corequisite: MAED 592.

Notes: Offered in the fall

MAED 592: Field Experience in Teaching Mathematics (1:0-8)

Students will spend 8 hours per week in a public school under the supervision of a mathematics education professor and will work with a mentor teacher in preparation for the final internship experience.

Prerequisite(s): Graduate status. Admission to the Teacher Education Program.
Corequisite(s): MAED 591.

Notes: A grade of S or U is recorded. Offered in fall.

MAED 595: Historical Foundations of School Mathematics (3)

Historical development of concepts taught in secondary school mathematics curriculum. To be taken during the semester immediately preceding the professional semester, otherwise by permission of the Chair-Department of Mathematics. Offered in the fall. 

MAED 603: Calculus for Secondary Teachers (3)

Thorough review of the basic concepts of elementary calculus, with motivating examples and typical problems. 

Prerequisite: At least 6 semester hours of undergraduate calculus. 

Offered on request. 

MAED 694: Special Topics for Middle School or Junior High School Mathematics Teachers (3)

Selected topics and teaching methodology from the foundations of mathematics as applied to the elementary grades 5-8 curriculum standards. Course topics are selected from, but not limited to, the following areas: probability and statistics, algebra and geometry. Area will be designated on the transcript. 

May be repeated for credit as topics vary. Offered on request.

MAED 695: Special Topics for Secondary School Mathematics Teachers (3)

A study of special topics and teaching methodology from the foundations of mathematics as applied to the secondary school 9-12 curriculum standards. Course topics are selected from, but not limited to, the following areas: probability and statistics, algebra and technology, and Tech Prep I and II. Area will be designated on the transcript. 

Offered on request.

Critical Thinking Quantitative Reasoning (CTQR)

CTQR 150: Introductory College Mathematics (3)

Elementary set theory and logic, probability and statistics, including set operations, Venn diagrams, truth tables, conditional probability and the binomial and normal distributions. 

Offered in the fall, spring and summer.

The Mathematics Department website is maintained by Frank Pullano and Rudy Wiegand.