# Course Listings

**MAT115 Precalculus (3)**

An introductory course covering the topics from algebra and trigonometry needed for the study of calculus. This course does not satisfy the core requirement in college level mathematics.

**MAT121 Concepts of Math for Elementary Teachers I (3)**

All MAT courses have a minimum prerequisite of an ACT Math score of 18, SAT Math score of 430, satisfactory scores on the in-house math placement test, or satisfactory completion of either GEC 096 or GEC 093/094. Course Requirement: Elementary and Middle School Education majors. A course covering logical reasoning, sets and relations, structure of number systems, systems of numeration, problem solving and topics from theory of numbers.

**MAT122 Concepts of Math for Elementary Teachers II (3)**

Prerequisite: MAT 121. Course Requirement: Elementary and Middle School Education majors. A course covering logical reasoning, sets and relations, structure of number systems, systems of numeration, problem solving and topics from theory of numbers.

**MAT123 Game Theory (3)**

All MAT courses have a minimum prerequisite of an ACT Math score of 18, SAT Math score of 430, satisfactory scores on the in-house math placement test, or satisfactory completion of either GEC 096 or GEC 093/094. Course in game theory with a primary focus on applications to business, sociology, philosophy and scientific issues. Most games will be two person, but both Zero-Sum and Non-Zero-Sum games will be considered. Topics in N-person games will be addressed as time permits. It will reinforce writing skills, mathematical reasoning and critical thinking through in-class testing, homework and possible special projects. Review topics in Algebra will be address as needed.

**MAT125 Informal Geometry (3)**

All MAT courses have a minimum prerequisite of an ACT Math score of 18, SAT Math score of 430, satisfactory scores on the in-house math placement test, or satisfactory completion of either GEC 096 or GEC 093/094. A course emphasizing the discovery approach to mathematics and is designed for both liberal arts students and education majors. Topics may include: tessellations, topology, isometrics, polyhedra, the fourth dimension, and number patterns in geometry.

**MAT143 Elements of Calculus (4)**

All MAT courses have a minimum prerequisite of an ACT Math score of 18, SAT Math score of 430, satisfactory scores on the in-house math placement test, or satisfactory completion of either GEC 096 or GEC 093/094. An introductory course on differential and integral calculus that incorporates necessary precalculus topics as they arise. This course may not be taken if credit has been received for MAT 151.

**MAT151 Calculus-Analytic Geometry I (4)**

Prerequisite: MAT 115 or a satisfactory score on the precalculus placement exam or an ACT mathematics subscore of 23 or higher. An introductory course in calculus for scientists and engineers and assumes a strong foundation in algebra and trigonometry. Course topics include: limits, continuity, derivatives, epsilon-delta proofs, implicit differentiation and differentials, mean value theorem, geometrical methods, optimization, related rates and Newton's method, anti-derivatives, Riemann sums, definite integral, fundamental theorem of calculus. Applications are to geometry in one, two and three dimensions and mechanics as well as numerical methods. This course may not be taken if credit has been received for MAT 143.

**MAT152 Calculus-Analytic Geometry II (4)**

Prerequisite: MAT 151. The techniques of one dimensional calculus developed in MAT 151 are extended. Course topics include transcendental functions, inverse trigonometric functions, hyperbolic functions, advanced integration techniques including parts, trigonometric substitutions, rational integrands and quadratic expressions. Also included are indeterminant forms and improper integrals, infinite sequences and series, Taylor's series and polynomials and the binomial series.

**MAT201 Calculus-Analytic Geometry III (4)**

Prerequisite: MAT 152. A course in calculus in several dimensions. Course topics include plane curves, polar coordinates, vectors, surfaces, vector valued functions, partial differentiation and Lagrange techniques, multiple integrals, cylindrical and spherical coordinates, change of variable, vector fields, line integrals, Gree, Stokes and Divergence Theorems.

**MAT202 Differential Equations (4)**

Prerequisite: MAT 152. Students will study solutions, properties of solutions and applications for first order, first degree equations and for linear equations of arbitrary order, higher order and higher degree equations, simultaneous linear differential equations, series solutions and Laplace transforms.

**MAT205 Introductory Statistics (3)**

All MAT courses have a minimum prerequisite of an ACT Math score of 18, SAT Math score of 430, satisfactory scores on the in-house math placement test, or satisfactory completion of either GEC 096 or GEC 093/094. An investigation of graphic methods, frequency distributions, percentiles, central tendency, variability, standard scores, normal and binomial distributions, hypothesis testing, and correlation. May not be taken if credit has been received for MAT 208.

**MAT206 Survey of Geometry (3)**

Prerequisite: MAT 151; 231 or 220. An examination of Euclidian and non-Euclidian geometries and a detailed study from an advanced viewpoint of foundations and theorems pertinent to secondary school geometry.

**MAT207 Number Theory (3)**

Prerequisite: MAT 151 or 143. A course covering prime and composite numbers, divisibility, Diophantine equations, congruences, and number theoretic functions. Cross-listed as CIS 227.

**MAT208 Statistics for the Behavioral Sciences (3)**

All MAT courses have a minimum prerequisite of an ACT Math score of 18, SAT Math score of 430, satisfactory scores on the in-house math placement test, or satisfactory completion of either GEC 096 or GEC 093/094. Prerequisite: PSY 105. Topics covered in this course will include: frequency distributions, percentiles, central tendency, variability, standard scores, normal distribution, probability, correlation, linear regression, hypothesis testing and sampling. May not be taken if credit has been received for MAT 205. Cross-listed as PSY 201.

**MAT210 Introduction to Combinatorics (3)**

Prerequisite: MAT 143 or 151. An introduction to counting arguments and combinatorial proofs. Topics include elementary counting principles, permutations and combinations, binomial and multinomial coeffecients, generating functions, Stirling numbers, and graphs.

**MAT220 Linear Algebra (3)**

Prerequisite: MAT 151. Topics include matrix algebra, systems of linear equations, Gaussian elimination, vector spaces, determinants, linear transformations, orthogonality, and eigenvalues.

**MAT231 Foundations of Mathematics (3)**

Prerequisite: MAT 151. A study of logical reasoning, methods of proof, partitions and counting, math modeling, probability theory, linear programming and game theory.

**MAT240 History of Mathematics (3)**

Prerequisite: MAT 231. A survey of the history of mathematics from ancient to modern times. Topics include Greek mathematics, the development of calculus, the emergence of major branches of modern mathematics (e.g. analysis, algebra, statistics), and the advancement of mathematical thought in different cultures around the world. Emphasis will be placed on how notation and mathematical arguments have evolved over time. An appreciation of mathematical proof is required.

**MAT255 Special Topics (3)**

Special topics courses are offered periodically for topics in Mathematics that are not included in the established curriculum.

**MAT301 Advanced Mathematical Methods I (4)**

Prerequisite: MAT 201. The mathematical methods used in Physics are studied. Topics include the algebra and calculus of vectors, coordinate transformations, elements of matrix algebra, matrix diagonalization, orthogonal curvilinear coordinates, tensor algebra, elements of tensor calculus, Cartesian tensors, and application of vectors and tensors to physical problems. Cross-listed as PHY 301.

**MAT302 Advanced Mathematical Methods II (4)**

Prerequisite: MAT/PHY 301. Topics discussed will include elements of partial differential equations, Fourier series and Fourier transforms, Dirac delta-function, orthogonal functions, Sturm-Liouville systems, series solution of partial differential equations of mathematical physics. Cross-listed as PHY 302.

**MAT303 Numerical Analysis (3)**

Prerequisite: MAT 201, CIS 114. Numerical analysis covers finite differences, solution of non-linear (algebraic and transcendental) equations, zeros of polynomials, matrix methods, systems of linear equations, interpolation, estimation of parameters by least squares, numerical integration and solutions of ordinary differential equations. Cross-listed as CIS 303.

**MAT306 Abstract Algebra I (3)**

Prerequisite: MAT 201; 231 or 220. Covers the basic theory of groups, rings, ideals and fields.

**MAT310 Partial Differential Equations (3)**

Prerequisite: MAT 201, 202, 220. An introductory course in partial differential equations with an emphasis on applications. Emphasis will be on linear equations, Fourier series and Fourier transforms, orthogonal series with Legendre, Hermite and Laguerre polynomials and their generating functions. Boundary and initial value problems for the heat, wave and Laplace equations. Bessel functions and their applications in Sturm-Loiusville problems will also be investigated. If time permits, calculus of variations may be presented.

**MAT315 Readings in Mathematics (1-3)**

Mathematics courses not ordinarily offered by the department or more advanced topics in areas already offered.

**MAT340 Probability and Statistics for Scientists (3)**

Prerequisite: MAT 201. Corequisite: 231 or 220. Course will examine probability and statistical hypothesis testing from a calculus perspective and is suitable for scientists, engineers and mathematicians. Topics to be covered will include: Sample spaces, random variables, discrete and continuous distributions, including binomial, exponential, Poisson, normal and the approximation of the binomial with the normal. The Neyman-Pearson lemma and its use to justify hypothesis testing for means and proportions will be a course goal. Other topics such as continuous conditional probabilities, the t-distribution, ANOVA and additional hypothesis testing will be covered at the discretion of the instructor.

**MAT345 Topology (3)**

Prerequisite: MAT 231. Introduction to point-set Topology. Specific topics include metric spaces, continuity, open and closed sets, general topological spaces, homeomorphisms, products, connectedness, compactness, and some advanced topics such as basic homotopy theory.

**MAT405 Math Senior Seminar (3)**

This course will cover an advanced topic of the instructor�s choice that includes topics of current interest to the mathematics and physics communities. Students are required to make presentations within and outside of the college at a professional meeting. Students will also write a paper developing some topic that will include relevant bibliographical references in a professional format. Presentations and paper will be reviewed by the entire department. Emphasis will be on understanding relevant, topical research topics in mathematics in an area previously unfamiliar to the student from the undergraduate curriculum and developing effective oral and written presentations.

**MAT406 Abstract Algebra II (3)**

Prerequisite: MAT 306. A continuation of Abstract Algebra I. Topics include vector spaces, basic field theory, finite fields, extension fields, splitting fields, Sylow Theorems, and additional advanced topics as time allows (such as generators and relations or Burnside�s Theorem).

**MAT411 Advanced Calculus I (3)**

Prerequisite: MAT 201. A course covering advanced topics including limits, continuity, and differentiation.

**MAT412 Complex Analysis (3)**

Prerequisite: MAT 201. Students will study analytic functions, transformation of elementary functions, integrals, power series, residues and poles, conformal mapping and applications.

**MAT421 Advanced Calculus II (3)**

Prerequisite: MAT 411. A continuation of Advanced Calculus I. Topics include differentiation, the Riemann Integral, sequences of functions, and infinite series.

**MAT455 Special Topics (3)**

Prerequisite: Permission of the instructor. Special topics courses are offered periodically for topics in Mathematics that are not included in the established curriculum.

**MAT475 Advanced Topics in Mathematical Physics (3)**

Prerequisite: Permission of the instructor. An in-depth investigation of a current issue in mathematical physics using the tools previously developed in the program. The issue will be selected from topics such as functional integration, introduction to quantum field theory, differential geometry, general relativity, solitons, applications of non-linear PDEs, and representation theory, among others. Cross-listed as PHY 475.

**MAT495 Math Honors Research (1-3)**

Prerequisite: Permission of the instructor.

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