# Undergraduate Catalog 2009-2011

### Mathematics

**MATH 099 Elementary Algebra 3**

Review of fundamental algorithms of whole numbers, integers, rational numbers, and elementary algebra. Students who are required to take MATH 099 must pass this course with a C- or better before successful completion of 24 hours of regular coursework. Letter grade will affect GPA as if MATH 099 were a three credit course, but these credits may not be used to fulfill the number of credits required for graduation. This course may not be used to meet the General Education requirement nor requirements for a major, a minor, or certification in mathematics. Remedial. Fall, Spring, Summer.

**MATH 101 Intermediate Algebra 3**

Prereq.: MATH 099 (C- or higher) or placement exam. Review and extension of elementary algebra. A study of functions including their algebraic properties and graphs. Quadratic equations and inequalities are solved and graphed. Graphing calculator required. No credit given to students with credit for MATH 115, 119, 121, 123, 124, 125, 135 or 152. This course may not be used to meet the General Education requirement nor requirements for a major, a minor, or certification in mathematics.

**MATH 105 Survey of Mathematics for Liberal Arts 3**

Prereq.: MATH 101 (C- or higher) or placement exam. This course is intended for those students who are not majoring in mathematics or the natural sciences. Provides students with an introduction to a broad range of topics in mathematics. No credit given to students with credit for MATH 218. May not be used to meet the requirements for a major, a minor, or certification in mathematics. Skill Area II

**MATH 106 Mathematical Topics for Liberal Arts 3**

Prereq.: MATH 101 (C- or higher). Topics in mathematics suitable for students majoring in other disciplines and not covered in other courses. Topics may include: the mathematics of music, mathematics and the arts, game theory, cryptography, and mathematical modeling. May be repeated with different topics for a maximum of six credits. Skill Area II

**MATH 110 Finite Mathematics 3**

Prereq.: MATH 101 (C- or higher) or placement exam. Topics to include those chosen from logic, theory of sets, counting techniques, probability theory, linear equations, linear programming, matrix algebra, graph theory, and Markov chains. Emphasis placed on the construction of mathematical models and their applications. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. Fall. Skill Area II

**MATH 113 Structure of Mathematics I: Number Systems 3**

Prereq.: MATH 101 (C- or higher) or placement exam. Problem solving approach to inductive reasoning, sets, numeration, number theory, integer properties and operations, rational number properties, and numeration. No credit given to those with credit for MATH 366. Intended ONLY for students seeking elementary, early childhood, or middle level certification and can be used to meet requirements of a major or minor in mathematics only for such students. Not recommended for use in meeting certification requirements for secondary school mathematics. Skill Area II

**MATH 115 Trigonometry 3**

Prereq.: MATH 101 (C- or higher) or placement exam. Study of relations, functions (special emphasis on the six trigonometric functions), inverses, and graphs. An analytic approach to trigonometry using circular functions, angular measures, identities, graphs and inverses. No credit given to students with credit for MATH 119, 124, 135, or 152. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. Skill Area II

**MATH 116 Pre-Calculus Mathematics 3**

Prereq.: MATH 101 (C- or hiogher) or placement exam. Properties of the real numbers, relations and functions, exponential and logarithmic functions, mathematical induction, and conics. No credit given to students with credit for MATH 119, 124, 125, 135 or 152. Skill Area II

**MATH 119 Pre-Calculus with Trigonometry 4**

Prereq.: MATH 101 (B- or higher) or placement exam. Intensive preparation course for the calculus sequence. Properties of functions including polynomial, rational, periodic, exponential and logarithmic, and rate of change change. Also covers trigonometry, including the unit circle, right triangles, and analytic trigonometry. No credit given for students with credit for MATH 115, 116, 121, 124, 135 or 152. Skill Area II

**MATH 120 Problem Solving I 1**

Prereq.: MATH 115 (C- or higher) or MATH 119 (C- or higher) or placement exam. Polya's four-step approach to problem solving applied to non-routine problems in algebra, geometry, and trigonometry. One two-hour lab per week.

**MATH 123 Applied Business Mathematics 3**

Prereq.: MATH 101 (C- or higher) or placement exam. Elements of calculus and finite mathematics with emphasis on applications to problems arising in business. Topics include polynomial and rational functions, modeling, limits, continuity, derivatives, maxima and minima of functions, matrices, systems of linear equations, linear inequalities, and linear programming. Exponential and logarithmic functions will be studied if time permits. No credit given for students with credit for MATH 124, 125, 135 or 152. Skill Area II

**MATH 124 Applied Calculus with Trigonometry 4**

Prereq.: MATH 101 (C- or higher). Polynomial, rational, exponential, logarithmic and trigonometric functions. and their application to the natural sciences. The concepts of rate of change, limit, and derivative are emphasized. Integration is introduced. No credit given to students with credit for MATH 115, 119, 125, 135, or 152. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood, or middle level, certification. Not recommended for use in meeting certification requirements for secondary school mathematics. Skill Area II

**MATH 125 Applied Calculus 3**

Prereq.: MATH 101 (C- or higher) or placement exam. This course is for students majoring in the social, biological, behavioral, and managerial sciences. Topics include review of algebra, differentiation, and integration. Graphing calculator required. No credit given to students with credit for MATH 124, 135, or 152. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. Skill Area II

**MATH 135 Applied Engineering Calculus I 3**

Prereq.: MATH 119 (C- or higher) or MATH 115 (C- or higher) and MATH 121 (C- or higher) or Math Placement Exam. This course is for students majoring in engineering technology. Topics include analytical geometry, limits, and differentiation. Exponential, logarithmic, and trigonometric functions are included. Applications to physics and engineering problems will be emphasized. No credit given to students with credit for MATH 124, 125, or 152. Skill Area II

**MATH 136 Applied Engineering Calculus II 3**

Prereq.: MATH 135 (C- or higher) or permission of instructor. Continuation of MATH 135. Topics include the integral, techniques of integration, application of integrals, and multivariate calculus. No credit given to students with credit for MATH 221. Engineering Technology students with credit for MATH 125 prior to Spring 2003 will be admitted. Skill Area II

**MATH 152 Calculus I 4**

Prereq.: MATH 115 (C- or higher) and MATH 121 (C- or higher), or MATH 119 (C- or higher). Limits and continuity, derivatives, applications of derivatives including transcendental functions. Antiderivatives, definite integrals with applications. Skill Area II

**MATH 211 Clinical Experience in Mathematics Education I 1**

Prereq.: MATH 152 (C- or higher). Provides prospective teachers of mathematics with an opportunity to gain practical experience in a tutorial setting. Students are trained as tutors for level 1 CRLA (College Reading and Learning Association) certification and are assigned to work a minimum of 3 hours per week in the Learning Center primarily helping students taking MATH 099 and MATH 101.

**MATH 213 Structure of Mathematics II: Probability & Geometry 3**

Prereq.: MATH 113 (C- or higher). Problem solving approach to deductive reasoning and logic, probability, descriptive statistics, point set, metric, analytic and transformational geometry; and properties of plane and solid figures. No credit given to those with credit for MATH 323. Early Childhood, Elementary or Middle Level certification candidates only. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. Skill Area II

**MATH 218 Discrete Mathematics 4**

Prereq.: MATH 152 with a grade of C- or higher. Topics include logic, induction, recursion, combinatorics, matrices, graph theory, set theory, and number theory.

**MATH 220 Problem Solving II 1**

Prereq.: MATH 120 and 152, both with grades of C- or higher. Polya's four-step approach to problem solving applied to non-routine problems in algebra, geometry, trigonometry, and calculus. One two-hour lab per week.

**MATH 221 Calculus II 4**

Prereq.: MATH 152 (C- or higher). Further application of integration and techniques integration. Improper integrals and L'Hopital's. Infinite series including Taylor series and representation of functions. Skill Area II

**MATH 222 Calculus III 4**

Prereq.: MATH 221 (C- or higher). Continuation of MATH 221. Parametric equations, polar coordinates, two- and three-dimensional vectors, three-dimensional analytic geometry, functions of several variables, partial differentiation, double and triple integrals.

**MATH 226 Linear Algebra and Probability for Engineers 4**

Prereq.: MATH 221 (C- or higher). Introduction to the mathematics required for engineering, including basic linear algebra and topics in probability and statistics. Emphasis on applications. Fall.

**MATH 228 Introduction to Linear Algebra 4**

Prereq.: MATH 152 and MATH 218 both with grades of C- or higher. Vector spaces, systems of linear equations, determinants, linear transformations, and matrices are considered.

**MATH 250 Symbolic Computation 4**

Prereq.: MATH 221 and either MATH 228 or MATH 226 (C- or higher). Introduction to symbolic computation packages, including Mathematica. Emphasis on applications and independent research. Fall. (E)

**MATH 300 Mathematics Internship 3**

Prereq.: Permission of the department and a 3.00 GPA in mathematics. Designed to provide students an opportunity to work in a business environment directly related to their major or specialization. Each student will apply his/her classroom knowledge in mathematics, actuarial science, operations research, and/or statistics in an appropriate business setting. Graded on pass-fail basis only.

**MATH 305 Structure of Mathematics III: Number Patterns 3**

Prereq.: MATH 213 (C- or higher) and MATH 119, 116, 124, or 125 (C- or higher). Exploratory approach to number patterns and functions. Topics include prime and composite numbers, perfect numbers, Fibonacci numbers, figurative numbers, Pythagorean triples, and sequences. Calculators will be used. Early Childhood and Elementary Education certification candidates only. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood, or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics.

**MATH 306 Structure of Mathematics IV: Development of Geometric Ideas 3**

Prereq.: MATH 213 (C- or higher) and MATH 115, MATH 119 or 124 (C- or higher). Exploration of geometric concepts via hands-on activities and computer software. Topics include congruence, similarity, transformations, tessellations, and fractals. Early Childhood, Elementary Education or Middle Level certification candidates only. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood, or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics.

**MATH 307 Topics in Elementary Mathematics 1 TO 3**

Prereq.: Permission of instructor. Selected elementary topics in mathematics covering specialized areas not offered in the regular curriculum. May be repeated with different topics for a maximum of 3 credits. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification Not recommended for use in meeting certification requirements for secondary school mathematics. Irregular.

**MATH 311 Clinical Experience in Mathematics Education II 1**

Prereq.: MATH 211 (C- or higher). Tutors are trained at level 2 (CLRA certification) and assigned to tutor in a middle school or high school setting.

**MATH 313 Number Systems from an Advanced Viewpoint 3**

Prereq.: MATH 218 (C- or higher) and MATH 221 (C- or higher). Examination of the content of elementary school mathematics from the point of view of teachers of secondary mathematics. Taken concurrently with either MATH 327 or 328. Spring.

**MATH 320 Problem Solving III 1**

Prereq.: MATH 220 (C- or higher) and 228 (C- or higher). Polya's four-step approach to problem solving applied to non-routine problems in algebra, geometry, trigonometry, calculus, discrete mathematics, and linear algebra. One two-hour lab per week.

**MATH 327 Curriculum & Technology in Secondary Mathematics I 3**

Prereq.: MATH 218 (C- or higher) or MATH 221 (C- or higher). Intended for students seeking certification to teach mathematics at the secondary level. Examination of the content of the mathematics curriculum in grades 7-12, with emphasis on the development of algebraic thinking across grade levels and the use of spreadsheets, function plotting software, and graphing calculators. Graphing calculator required. Fall.

**MATH 328 Curriculum & Technology in Secondary Mathematics II 3**

Prereq.: MATH 218 (C- or higher) or MATH 221 (C- or higher). Intended for students seeking certification to teach mathematics at the secondary level. Examination of the content of the mathematics curriculum in grades 7-12, with emphasis on the teaching of geometry, probability, statistics, and discrete mathematics, including the use of geometric drawing programs, laboratory instrumentation, and the internet. Graphing calculator required. Spring.

**MATH 344 Mathematics in Diverse Cultures 3**

Prereq.: MATH 152 or MATH 125 or MATH 305 all with grades of C- or higher. Mathematical systems of different cultures around the world and their contributions to the development of mathematics. Recent trends in ethnomathematics research and ideas on multiculturing the mathematics classroom will also be discussed. Spring. (E) [I]

**MATH 355 Introduction to Differential Equations with Applications 4**

Prereq.: MATH 221 and either MATH 226 or MATH 228 (C- or higher). Introduction to analytical, geometric, and numerical methods for solving ordinary differential equations. Basic models of physical systems using ordinary differential equations. Introduction to software used for solving ordinary differential equations. Spring.

**MATH 366 Introduction to Abstract Algebra 4**

Prereq.: MATH 218 (C- or higher). Certain fundamental structures such as groups, rings, integral domains, and fields are considered.

**MATH 377 Introduction to Real Analysis 4**

Prereq.: MATH 221 (with grade of C- or higher). In-depth introduction to the theory of functions, including integration, differentiation, and series.

**MATH 383 College Geometry 3**

Prereq.: MATH 328 or 366 or 377 (all with C- or higher). Historical overview of the development of geometry since the time of Euclid. In-depth study of selected topics from Euclidean geometry and the role of axiomatics. Also covers material from at least one of the following non-Euclidean geometries; finite, projective, spherical, and hyperbolic. Spring.

**MATH 398 Independent Study in Mathematics 1 TO 3**

Prereq.: MATH 228 or 366, and a 3.00 G.P.A. in mathematics and permission of instructor. Special independent work to meet individual interest in areas not covered by the regular curriculum. Work will be under the supervision of a faculty member and in an area and for an amount of credit agreed upon prior to registration for the course. On demand.

**MATH 409 Mathematics through Computers 3**

Prereq.: MATH 305 or 306. Exploration of computer software, such as Geometer's Sketchpad, Logo, and Excel, and the use of Web resources, to promote better understanding of mathematical concepts and algorithms. For pre-service teachers of K-9. Can be used to meet requirements for a major or minor in mathematics only for students seeking elementary, early childhood, or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics.

**MATH 410 Early Childhood Mathematical Methods 3**

Prereq.: MATH 213 (C- or higher) and admission to the Professional Program in early childhood education. Concepts underlying contemporary mathematics curriculum for early childhood grades. Developmentally appropriate methods for developing concepts and the meaning of operations and procedures in arithmetic through problem solving. This course is for teacher certification only and graduate credit will not be granted.

**MATH 411 Clinical Experience in Mathematics Education III 1**

Prereq.: MATH 211 and MATH 221 (both with grades of C- or higher). Tutors are assigned to work in the Learning Center and may tutor students in courses up through MATH 152. Students who have not had Level 2 CLRA certification training receive the same training as students taking MATH 311.

**MATH 412 Elementary Mathematical Methods 3**

Prereq.: MATH 213 (C- or higher) and admission to the Professional program in elementary education. Concepts underlying contemporary mathematics curriculum for elementary grades. Developmentally appropriate methods for developing concepts and the meaning of operations and procedures in arithmetic. through problem solving. This course is for teacher certification only and graduate credit will not be granted.

**MATH 413 Teaching Mathematics in the Secondary School 4**

Prereq.: MATH 327 and admission to the Professional Program in Secondary Teacher Education. Topics include planning for instruction, classroom management, promoting effective discourse, methods to address the needs of a diverse student population, and methods of assessment. Field experience required. Taken concurrently with EDSC 425.

**MATH 421 History of Mathematics 3**

Prereq.: MATH 221 or for graduate students, admission to M.A., Mathematics or the M.S., Mathematics (for certified secondary teachers). Development of mathematics is traced from arithmetic of commerce, astronomy, geometry, and trigonometry in Babylonia, Egypt, Greece, and Rome to the later accomplishments in algebra, geometry, and calculus. Spring. (O) [GR]

**MATH 426 Student Teaching Seminar 1**

Prereq.: MATH 413. Examination of problems which arise in secondary mathematics instruction. Taken concurrently with EDSC 435.

**MATH 440 Selected Topics in Mathematics 1 TO 3**

Prereq.: Permission of instructor. Selected topics in mathematics covering specialized areas not covered in regular offerings or that go beyond that provided for in the standard curriculum. May be repeated with different topics for a maximum of 6 credits. Irregular. [GR]

**MATH 449 Mathematics Laboratory for Elementary School 3**

Prereq.: MATH 412, 414 or 327 or equivalent and student teaching. Provides teachers in elementary school with the opportunity to make mathematical materials useful in teaching elementary mathematics. Each participant constructs mathematical models and manipulatives appropriate to his/her teaching level and interest. Mathematical projects and educational implications are discussed. Can be used to meet the requirements for a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting requirements for secondary school mathematics. Summer. [GR]

**MATH 450 Seminar in Proof 4**

Prereq.: MATH 366 and 377 (both with grades of C- or higher), one of which may be taken concurrently. Students will study a number of important theorems in mathematics, examining the proofs of these theorems in depth. Each student will make a presentation to the class before the end of the semester. Topics will vary based on student and instructor interest. This is a capstone course for the BA major. Class is limited to 15 students. Spring.

**MATH 455 Introduction to Partial Differential Equations with Applications 4**

Prereq.: MATH 355 (C- or higher) or permission of department chair. Introduction to analytical, geometric, and numerical methods for solving partial differential equations. Basic models of physical systems using partial differential equations. Introduction to software used for solving partial differential equations. Fall. (O) [GR]

**MATH 465 Introduction to Fractal Geometry and Chaos 3**

Prereq.: MATH 218 or 221 (both with C- or higher), or master's degree program. Topics will include self similarity, fractal dimension, iterated function systems, Mandelbrot and Julia sets, complex iteration, cellular automata, and dynamical systems. Much of the work will involve using software to draw and investigate fractal images and chaos. Spring. (E)

**MATH 468 Symbolic Logic 3**

Prereq.: MATH 366 or equivalent. Introduction to truth, validity and argument. Methods of deduction, propositional functions and quantifiers, logic of relations, deductive systems, and propositional calculus. Spring. (E) [GR]

**MATH 469 Number Theory 3**

Prereq.: MATH 366 or equivalent. Elementary theory of numbers. Divisibility, prime numbers, Fundamental Theorem of Arithmetic, congruences, Diophantine equations, quadratic residues and continued fractions are among topics considered. Fall. (O) [GR]

**MATH 470 Mathematical Methods in Operations Research 3**

Prereq.: STAT 215 or 315, and MATH 110 or 228 or permission of instructor. Selected topics chosen from the areas of linear programming, decision analysis, and network analysis. Summer. (E) [GR]

**MATH 477 Numerical Analysis 3**

Prereq.: MATH 221 and CS 151 or permission of instructor. Selected topics including difference operators, iterative methods of finding zeros of functions, interpolation and polynomial approximation, numerical integration and differentiation, matrices, and systems of linear equations. No credit given to students with credit for CS 254. Summer. (O) [GR]

**MATH 491 Advanced Calculus 3**

Prereq.: MATH 222 or permission of instructor. Topics from continuity and differentiability of functions of several variables, exterior differential forms, multiple and iterated integration, line integrals, Gauss', Green's, and Stokes' theorems. Fall. (E) [GR]