MAT Course Listing

095 Developmental Algebra I. (3) Institutional Credit
Developmental Algebra Prerequisites: MAT 090 with a course grade of at least C or equivalent. Real number system, algebraic expressions, integer exponents, linear and quadratic equations, inequalities, polynomials, graphing linear and quadratic functions, factoring, systems of equations, radical expressions and basic descriptive geometry May be taken by referral only 3 Lec/2 Lab-Rec.

098 Algebra II. (3)
(1) Institutional Credit. Prerequisite: MAT 095 or equivalent with a grade of at least a C. Real number system, number theory, algebraic expressions and sentences, linear and quadratic equations, inequalities, operations with polynomials, relations and functions, graphing linear, quadratic, and exponential functions, factoring polynomials, systems of equations, radical expressions. May be taken by referral only Credit for MAT 103 is not applicable toward a baccalaureate degree. 3 Lec/1 Lab.

100 Graphing Calculator I. (1)
Use of a graphing calculator to evaluate arithmetic expressions; graph and solve linear, quadratic, polynomial, rational, exponential and logarithmic equations; solve and graph systems of linear and nonlinear equations.

101 Graphing Calculator II. (1)
Prerequisite: MAT 100 or departmental approval. Use of graphing calculator to graph and solve trigonometric equations solve problems involving calculus, statistics, matrices, and vectors; illustrate other features of the graphing calculator, such as the conversion and the draw feature.

105 Mathematics with Applications. (3)
Prerequisite: Completion of all mathematical developmental requirements. This course is designed to strengthen computational skills, mathematical reasoning, problem-solving skills, and mathematical reading/communication skills while focusing on real-world problems. The mathematical topics may include the mathematics of finance, statistics, geometry, combinatorics, mathematical modeling, and algorithms. Use of calculators. Gen. Ed 03, 04.

106 Applied Finite Mathematics. (3)
Prerequisite: MAT 095 or equivalent The introduction to the application of mathematics to real-world problems. Topics are from various branches of discrete mathematics such as graph theory and game theory. Probability, geometry, and problems from the social sciences. 3 Lec (1 Lab when taught in large lecture sections.) Gen. Ed 03 or 04.

107 College Algebra. (3)
Prerequisite: grade of at least C in MAT 095 or equivalent. Real and complex numbers, integer and rational exponents, polynomial and rational equations and inequalities, graphs of functions and relations, exponential and logarithmic functions, systems of equations, matrices. Use of graphic calculators. 3 Lec (1 Lab when taught in large lecture sections.) Gen. Ed 03 or 04.

108 Trigonometry. (3)
Prerequisite: a grade of at least C in MAT 107 or equivalent. Radians and degrees, properties of trigonometric functions, multiple angle expressions, triangle solutions, inverse functions, complex numbers. Use of graphic calculators. Credit will not be awarded to students who have credit for MAT 109.

109 Precalculus Mathematics. (5)
Prerequisite: grade of at least C in MAT 107 or equivalent. Polynomial, rational, exponential, logarithmic, and trigonometric functions and inverses. Sequences and series, systems of linear and nonlinear equations and inequalities, the complex number system, vectors, the binomial theorem, mathematical induction, and conic sections. Use of graphic calculators. Three hours of credit will not be awarded to students who have completed for MAT 108. Three hours of credit count toward Gen. Ed. 03 or 04.

115 Introduction to Mathematica. (1)
Prerequisite or Corequisite: MAT 108. Use of Mathematica. Numeric, algebraic, and symbolic capabilities, two dimensional and three dimensional graphics with animation, decisions, looping, and list manipulation.

117 MathExcel Lab for Calculus I. (2)
Corequisite: Admission to MathExcel Program and enrollment in Calculus I. This lab is to accompany a regular lecture class in Calculus I. 4 Lab.

124 Calculus I. (4)
Prerequisite: MAT 109 with a minimum grade of "C" and satisfactory score on placement test. Functions, limits and continuity, derivatives and applications, integration, and introduction to and use of the computer package Mathematica. Credit will not awarded to students who have credit for MAT 121 or MAT 121H. Gen. Ed. 03 or 04.

124H Honors Calculus I. (4)
Prerequisite: score of 27 on the ACT mathematics test and the equivalent of MAT 109 or department approval. Functions, limits and continuity, derivatives and applications, integration, and introduction to and use of the computer package Mathematica. The material is treated in greater deoth and more rigor than MAT 124. Challenging problems and special projects will be assigned. Credit will not awarded to students who have credit for MAT 121 or MAT 121H or MAT 124. Gen. Ed. 03 or 04.

201 Mathematical Concepts for Middle and Elementary School Teachers I. (3)
Prerequisites: admission to a certification program in elementary, middle school, or special education and an acceptable score on a placement test Concepts stressed over manipulation. Sets and functions, whole numbers, integers, rational numbers, decimals and real numbers, numeration, and elementary number theory.

202 Mathematical Concepts for Middle and Elementary School Teachers II (3)
Prerequisites: MAT 201 with a minimum grade of C and an acceptable score on a geometry placement test. Concepts stressed over manipulation. Geometry, measurement, metric system, probability, and basic statistics.

203 Geometry for Middle and Elementary School Teachers. (3)
Prerequisites: admission to a certification program in elementary or middle school and MAT 201 and 202 with a combined grade point of 2.5 in the two courses. Angles and their measurement, right triangle trigonometry, perpendicular lines, congruent triangles, circles, arcs, and angles, constructions and loci, area and volume, similarity graphing, selected topics from analytic geometry.

211 Calculus with Applications for Business and Economics. (3)
Prerequisite: grade of at least C in MAT 107 or equivalent. Functions and graphs, differentiation, marginal costs, revenue and profit, integration, exponential and logarithmic functions, other applications. Credit will not be awarded to students who have credit for MAT 121 or MAT 121 H or MAT 124 or MAT 261. Gen Ed 03 or 04.

214 Linear Algebra and Matrices. (3)
Prerequisite: MAT 224 or 224 H with minimum grade of C. Real and complex vector spaces, linear transformations, matrix theory with applications through the introduction of eigenvalues and eigenvectors, determinants, inner product spaces, the use of the computer package Mathematica.

218 MathExcel Lab for Calculus II. (2)
Formerly MAT 118. Corequisite: Admission to MathExcel Program and enrollment in Calculus II. This lab is to accompany a regular lecture class in Calculus II. 4 Lab.

219 MathExcel Lab for Calculus III. (2)
Corequisite: Admission to MathExcel Program and enrollment in Calculus III. This lab is to accompany a regular lecture class in Calculus III. No more than4 credit hours of MAT 117. MAT 218 and MAT 219 will counti toward the baccalaureate degree. 4 Lab.

224 Calculus II. (4)
Prerequisite: MAT 124 or 124H with minimum grade of "C". Fundamental integration techniques, numerical integration, applications of integration, improper integrals, differential equations, infinite series, polar and parametric equations, and use of Mathematica. Credit will not be awarded to students who have credit for MAT 122 or 122H, or MAT 223 or 223H; Gen. Ed. 03 or 04.

224 Honors Calculus II. (4)
Prerequisite: MAT 124H with a minimum grade of "C" or departmental approval. Fundamental integration techniques, numerical integration, applications of integration, improper integrals, differential equations, infinite series, polar and parametric equations, and use of Mathematica. The material is treated in greater depth and with more rigor than in MAT 224. Challenging problems and special projects will be assigned. Credit will not be awarded to students who have credit for MAT 122, 122H, or MAT 224. Gen. Ed. 03 or 04.

225 Calculus III. (3)
Prerequisite: MAT 224 or 224H with a minimum grade of "C." Functions of several variables, limits and continuity, partial derivatives, multiple integrals, vector calculus including Green's, Divergence, and Stoke's theorems, cylindrical and spherical coordinates and use of Mathematica. Credit will not be awarded to students who have credit for MAT 225H.

225H Honors Calculus III. (3)
Prerequisite: MAT 224H with a minimum grade of "C." Functions of several variables, limits and continuity, partial derivatives, multiple integrals, vector calculus including Green's, Divergence, and Stoke's theorems, cylindrical and spherical coordinates and use of Mathematica. Challenging problems and special projects will be assigned. Credit will not be awarded to students who have credit for MAT 225.

261 Calculus wlth Applications for Science I. (3)
Prerequisite: grade of at least C in MAT 107 or equivalent. Introduction to calculus with applications in the sciences. Functions and graphs, differentiation, integration, exponential and logarithmic functions. Credit will not be awarded to students who have credit for MAT 121 or MAT 121 H or MAT 124 or MAT 211. Gen. Ed. 03 or 04.

262 Calculus with Applications for Science II. (3)
Prerequisite: MAT 261 or 211. Integral calculus with applications, introduction to differential equations, functions of several variables. Credit will not be awarded to students who have credit for MAT 122 or MAT 122H or MAT 224.

280 Actuarial Mathematics. (1)
Prerequisite: MAT 214 and MAT 225 or MAT 225H. Applications-oriented examination of several topics from analytic geometry, calculus, and linear algebra.

301 Logic and Set Theory. (3)
Prerequisites: At least a "C" in MAT 214, and 224 or 224H, and a grade point average of at least 2.5 in MAT 124, 214, and 224. Logic, proof techniques, set theory, relations, functions, cardinality, introduction to advanced mathematics.

303 Mathematical Models and Applications. (3)
Prerequisites: MAT 106, 203, and STA 270. Applications of mathematics to problems in the life, behavioral and managerial sciences. Credit does not count toward B.S. in mathematics nor mathematics teaching degrees nor the mathematics minor.

308 Modern Algebra I. (3)
Prerequisite: MAT 301 with a minimum grade of "C." Sets, mappings, relations, operations, rings, homomorphisms, integral domains, properties of integers, fields, rational and real number fields, complex number field.

315 Introduction to Analysis. (3)
Formerly MAT 414. Prerequisite: MAT 301, 225 or MAT 225H with a minimum grade of "C." Real number system, sets and functions, limits, continuity, uniform continuity, Taylor's theorem, laws of the mean, the Riemann integral, allied topics.

334 Modern College Geometry I. (3)
Prerequisite: MAT 301 with a minimum grade of "C." Euclid's parallel postulate, axiom systems, finite geometries. Designed to provide high school mathematics teachers with an appropriate reformulation and strengthening of background, ideas, and rigor.

349 Cooperative Study: Mathematics. (1-9) (1-6) SUMMER ONLY.
Prerequisite: departmental approval. Work in placements related to academic studies. Credit does not apply to major or minor requirements. Total hours: eight, associate; sixteen, baccalaureate. A minimum of 80 hours of employment are required for each semester hour of academic credit.

353 Differential Equations. (3)
Prerequisite: MAT 223 or 224. Differential equations of first order, applications, singular solutions, linear equations with constant coefficients, miscellaneous methods for equations of higher order, solution in series, total differential equations, qualitative methods, the use of the computer package Mathematica.

380 Mathematics in a Historical Setting. (3)
Prerequisite: MAT 301. The history of mathematics from ancient beginnings until modern times is studied through problems and through the lives and times of mathematicians.

408 Modern Algebra II. (3)
Formerly MAT 311. Prerequisite: MAT 308 with a minimum grade of "C." Ring homomorphisms, polynomial rings, unique factorization domains, principal ideal domains, finite fields, field extensions, algebraic extensions, Galois theory, and geometric construction.

415 Analysis. (3)
Prerequisite: MAT 414 with a minimum grade of "C." The Riemann integral, the Lebesgue integral, metric spaces, differentiation, sequences and series of functions, allied topics.

480 Seminar in ________. (1-3)
Prerequisite: departmental approval. Advanced topics in undergraduate mathematics. May be re-taken to a maximum of nine hours, provided the topics are different.

495 Independent Work. (1-3)
Prerequisite: departmental approval. Directed study/research on a problem or area chosen in consultation with instructor. Final paper required. Student must have the independent study proposal form approved by faculty supervisor and department chair prior to enrollment. May be re-taken to maximum of six hours.

501 Applications of Mathematics for K-8 Teachers. (3)
Prerequisite: MAT 303. Topics in the application of mathematical models appropriate for teachers of grades K-8. Credit does not apply toward B.S. nor B.S. (teaching) degree requirements for programs offered within this department.

502 Geometry wlth Technology for K-8 Teachers. (3)
Prerequisites: MAT 203 and CSC 175. Topics in geometry appropriate for teachers of grades K-8. Credit does not apply toward B.S. nor B.S (teaching) degree requirements for programs offered within this department.

505 Foundations of Mathematics. (3)
Prerequisite: MAT 308. The nature of mathematical thought; logical systems; axiomatic concepts and methods; consideration of the work of Hilbert, Peano, Whitehead, Russell, and others.

506 Number Theory. (3)
Prerequisite: MAT 301 with a grade of at least "C ". Fundamental properties of integers, linear Diophantine equations, linear and qua- dratic congruences, famous problems of number theory.

507 Seminar in Mathematics: __________ (1-3)
Prerequisite: departmental approval. Topics vary with offering. May be re-taken with advisor approval, provided the topics are different. Credit towards degree requirements will depend on course content.

535 Modern College Geometry II. (3)
Prerequisite: MAT 334 or equivalent. The major influence of the axioms of parallelism or geometry, development from axioms and models, Euclidean geometry, absolute geometry, hyperbolic geometry, consistency of postulates.

540 Introductory Applied Mathematics. (3)
Prerequisite: MAT 353. Techniques and applications of vector analysis, matrix theory, linear and autonomous systems of differential equations, special functions, operational methods, Sturm- Liouville theory, Fourier series.

550 Applications of Complex Analysis. (3)
Prerequisite: MAT 225 or 353. Continuity, differentiation, integration, series, residues, and applications to the evaluation of real integrals. Applications of conformal mappings to boundary value problems in heat, electrostatic potential, and fluid flow. Emphasis throughout on computational techniques and applications.

555 Graph Theory. (3)
Prerequisite: MAT 308 or CSC 320. Introduction to the theory and applications of graph theory. Topics will include trees, planarity, connectivity, flows, matching, and coloring.

560 Point Set Topology. (3)
Prerequisite: MAT 301 with a minimum grade of C. An introduction to topology with emphases on Euclidean and other metric spaces. Mappings, connectivity, compactness, formation of new spaces, relationship to analysis.

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