Mathematics courses 2012-2013
MATH 098 Beginning Algebra 3 credits
An introduction to algebra with a review of basic arithmetic. Includes decimals, fraction, percentage, ratio, proportion, signed numbers, algebraic expressions, factoring, exponents and radicals, linear equations, and graphs. MATH 098 is offered through Extended Studies and a fee is assessed. Credit does not count toward graduation. Graded Satisfactory/Unsatisfactory only.
MATH 099 Intermediate Algebra 3 credits
A review of the arithmetic of fractions and decimals, percentage problems, signed numbers, arithmetic, and topics of basic algebra, including simplifying algebraic expressions, solving and graphing linear equations, basic factoring, working with algebraic fractions, and solving rational and quadratic equations. This course is designed for students who need a review of the basic algebra skills necessary to complete the required mathematics courses MATH 131 or MATH 140. MATH 099 is offered through Extended Studies and a fee is assessed. Credit does not count toward graduation. Graded Satisfactory/ Unsatisfactory only. Prerequisite: ACT math score of 16 or above; SAT math score of 400 or above, MATH 098; or Accuplacer Elementary Algebra test score of 60 or above.
MATH 105 Mathematics for the Liberal Arts 3 credits
An investigation of a number of mathematical concepts, which may include ratios and proportions, descriptive statistics, sets and logic, geometry, right-angle trigonometry, counting, and probability. A variety of teaching methods are employed such as cooperative groups, writing about mathematics, and technology (calculators and computers). Prerequisite: ACT math score of 19 or above; SAT math score of 460 or above; MATH 098; MATH 099; or Accuplacer Elementary Algebra test score of 85 or above.
MATH 131 Mathematics for the Social Sciences 3 credits
A course for the student majoring in the social sciences. Topics may include the study of linear functions, linear regression, systems of linear equations and matrix inverses, linear optimization, financial calculations, sets and counting, basic and conditional probability, the binomial and normal probability distributions, and descriptive statistics. Prerequisite: ACT math score of 19 or above; SAT math score of 460 or above; MATH 099; or Accuplacer Elementary Algebra test score of 85 or above.
MATH 140 College Algebra 3 credits
An integration of the essential algebraic manipulations, solving equations and inequalities, polynomial functions, exponential and logarithmic functions, and techniques of graphing. Prerequisite: ACT math score of 19 or above; SAT math score of 460 or above; MATH 099; or Accuplacer Elementary Algebra test score of 85 or above.
MATH 141 Precalculus 4 credits
Preparation for calculus by the study of functions of one variable over the real numbers. These are introduced in general and then applied to the usual elementary functions, namely polynomial and rational functions, exponential and logarithmic functions, and trigonometric functions. Inverse functions, polar coordinates and trigonometric identities are included. Prerequisite: ACT math score of 23 or above; SAT math score of 530 or above; MATH 140 with a minimum grade of “C-”; or Accuplacer College-Level Mathematics test with a score of 65 or above.
MATH 151 Calculus I 4 credits
A study of differential calculus, including limits, continuous functions, Intermediate Value Theorem, tangents, linear approximation, inverse functions, implicit differentiation, extreme values and the Mean Value Theorem. and of Integral calculus including antiderivatives, definite integrals, and the Fundamental Theorem of Calculus. Prerequisite: ACT math score of 27 or above; SAT math score of 610 or above; MATH 141 with a minimum grade of “C-”; or Accuplacer College-Level Mathematics test with a score of 95 or above.
MATH 197 Special Topics 1-6 credits
MATH 200 Discrete Mathematics 3 credits
Designed to provide some of the mathematical background necessary for advanced work in computer science. Topics include logic, set theory, Boolean algebra, switching theory, counting and enumeration, number theory, mathematical induction, linear modeling, basic matrix algebra, and the graphical and simplex methods of linear programming. Applications of the topics covered are emphasized. Prerequisite: MATH 141 with a minimum grade of “C-.”
MATH 209 Mathematics for Elementary School Teachers I 3 credits
First of two courses designed for prospective elementary teachers. Emphasizes the real number system, arithmetic operations, and algebra. Explorations focus on representing, analyzing, generalizing, formalizing, and communicating patterns and structures. Content is presented using problem solving and exploration. Prerequisite: ACT math score of 23 or above; SAT math score of 530 or above; MATH 140 with a minimum grade of “C-”; or Accuplacer College-Level Mathematics test with a score of 65 or above.
MATH 210 Mathematics for Elementary School Teachers II 3 credits
Second of two courses designed for prospective elementary teachers. Emphasizes probability, data analysis, and geometry. Explorations focus on representations of data and two- and three-dimensional shapes, their properties, measurements, constructions, and transformations. Prerequisite: MATH 209 with a minimum grade of “C-.”
MATH 213 Probability and Statistics 3 credits
An introduction to descriptive statistics, probability concepts, and inferential statistics. The topics for the course include presentation of data, counting principles, probability rules, and discrete and continuous probability distributions. Prerequisite: MATH 141 with a minimum grade of “C-,” or Accuplacer College-Level Mathematics test score of 85 or above; or instructor permission.
MATH 220 Introduction to Advanced Mathematics 3 credits
Students develop and use elementary logic and set theory to construct deductive proofs with relations, functions, and some algebraic structures. Topics include indexing, equivalence relation theory, and cardinality. Prerequisite: MATH 151 with a minimum grade of “C-.”
MATH 232 Applied Calculus for the Managerial and Social Sciences 3 credits
An introduction to differential and integral calculus for students majoring in business, accounting or the social sciences. The calculus is presented using a variety of real-world business and economic applications, stressing marginality, elasticity, and accumulation. Offered upon sufficient demand. Prerequisite: MATH 131 or MATH 140 with a minimum grade of “C-”; or Accuplacer College-Level Mathematics test score of 75 or above.
MATH 251 Calculus II 4 credits
Topics include techniques of integration, area computations, improper integrals, infinite series and various convergence tests, power series, Taylor’s Formula, polar coordinates, and parametric curves. Prerequisite: MATH 151 with a minimum grade of “C-.”
MATH 252 Calculus III 4 credits
Topics include calculus of functions of several variables, differentiation and elementary integration, vectors in the plane and space. Prerequisite: MATH 251 with a minimum grade of “C-.”
MATH 266 Secondary Mathematics from an Advanced Perspective 3 credits
A course designed to help Secondary Licensure Emphasis majors understand the core mathematical content of high school mathematics courses before calculus. These concepts are treated from an advanced standpoint, emphasizing connections and extensions. Topics include number systems, polynomial and transcendental functions, analytic geometry, theory of equations, and measurement. Prerequisite: MATH 151 with a minimum grade of “C-.”
MATH 275 Scientific Programming, Modeling and Simulation 3 credits
Designed to develop programming skills appropriate for scientific and industrial applications.Topics may include numerical solution of differentail equations, singular value decomposition, and fourier analysis. Emphasis is placed on problem modeling, algorithmdevelopment, and data visualization. Prerequisites: CIS 190 and MATH 151 with minimum grades of “C-.”
MATH 297 Special Topics 1-6 credits
MATH 300 Introduction to Mathematical Modeling 3 credits
Designed to teach the basic principles of mathematical modeling and applied mathematics. Techniques from calculus, statistics, and probability are utilized to model real-world problems. Analytic and numeric tools are used to implement the models, obtain predictions and investigate underlying mechanisms. Topics include dimensional analysis, curve fitting, simulations, differential and difference equations. Prerequisites: MATH 251 and MATH 213 with minimum grades of “C-.”
MATH 330 Topics in Geometry 3 credits
An introduction to modern geometries. Topics include synthetic, analytic, vector, and transformational approaches to geometry. Classification of geometries, axiomatics, and the application of geometry may also be included. Prerequisite: MATH 220 with a minimum grade of “C-.”
MATH 354 Differential Equations 3 credits
A study of the theory and methods for solving ordinary differential equations. Prerequisite: MATH 251 with a minimum grade of “C-.”
MATH 360 Linear Algebra 3 credits
An introduction to systems of linear equations, matrix operations, vector spaces, properties of determinants, eigenvalues, and orthogonality and least-squares. Prerequisite: MATH 220 with a minimum grade of “C-.”
MATH 366 Methods of Teaching Secondary Mathematics 3 credits
Secondary Licensure Emphasis majors learn to use the latest teaching techniques and technologies to prepare valid mathematics tests, to be able to effectively evaluate their students, to know the latest developments in secondary mathematics curriculum, and to become familiar with professional mathematics teaching organizations and their journals. Prerequisites: MATH 220 and MATH 266 with minimum grades of “C-.”
MATH 370 History of Mathematics 3 credits
Acquaints the student with the historical development of mathematics. Includes an introduction to the proper methods and accepted formats of written, graphical, and oral communication in mathematics. Prerequisites: MATH 220 and MATH 251 with minimum grades of “C-.”
MATH 375 Numerical Methods 3 credits
A study of techniques of computation for power-series calculation of functions; roots of equations; nonlinear simultaneous equations; matrices, determinants, and linear simultaneous equations; numerical integration; and differential equations. Prerequisites: MATH 251 and either CIS 275 or CIS 310 with minimum grades of “C-.”
MATH 391 Seminar in Mathematics 1 credit
A selected topic from areas of mathematics not usually included in the regular curriculum. Student involvement through presentations is emphasized. May be taken under different topics for a total of two credits.
MATH 392 Independent Study in Mathematics 1-4 credits
MATH 397 Special Topics 1-6 credits
MATH 451 Analysis I 3 credits
An introduction to the theory of calculus. Topics include the usual topology of the reals,sequences, limits, continuity, differentiation, and Riemann integration. Prerequisites: MATH 220 and MATH 252 with minimum grades of “C-.”
MATH 452 Analysis II 2 credits
A continuation of the study of the theory of calculus. Topics include series, sequences and series of functions, pointwise and uniform convergence and the transcendental functions defined as power series. Prerequisite: MATH 451 with a minimum grade of “C-.”
MATH 456 Introduction to Complex Analysis 3 credits
An introduction to the theory and applications of complex variables. Topics include analytic and elementary functions, integrals, series, residues, and conformal mapping. Prerequisites: MATH 220 and MATH 252 with minimum grades of “C-.”
MATH 471 Abstract Algebra I 3 credits
An introduction to the theory of groups and rings. The fundamental group properties and concepts including cyclic groups, subgroups, direct products, symmetric groups, cosets, normal subgroups, and the group homomorphism theorems are discussed. Prerequisite: MATH 220 with a minimum grade of “C-.”
MATH 472 Abstract Algebra II 2 credits
A continuation of the study of abstract algebra. This course develops the ring properties and continues the development of algebra from integral domains to the field concept. Discussion includes the basic theory of factorization and unique factorization domains. Prerequisite: MATH 471 with a minimum grade of “C-.”
MATH 490 Workshop 2 credits
A study of a variety of mathematical topics generally dictated by student interest. The course may be taken for credit three times if the content of the workshop differs.
MATH 495 Senior Seminar 2 credits
A capstone course for the Mathematics Standard Major and for the Secondary Licensure Emphasis. Each student selects an area of interest, researches the selected area, generates a reference list and research paper, and presents the paper to a seminar of faculty and students. Prerequisites: MATH 360 and either MATH 451 or MATH 471.
MATH 497 Special Topics 1-6 credits