Mathematics

A course to support General Education Statistics (IAI M1902). Math skills necessary for the successful completion of MAT 240 will be reviewed. Emphasis will be on number sense, decimal, and percent relationships, reading graphs and charts, and linear equations. Other topics may be visited, as necessary, to support success in elementary statistics. Prerequisite: An appropriate placement score AND concurrent enrollment in MAT 240. Semester hours: 1 Lecture/Lab hours: 2 lab

This is a course in basic mathematical skills and concepts. Emphasis is on the development and review of computational and operational skills with whole numbers, fractions, decimals, percent, ratio and proportion, measurement systems, geometric shapes, and an introduction to working with variables and solving one-step algebraic equations. Prerequisite: Appropriate placement score. 3 Semester hour(s) Repeatable: This course may be repeated for a maximum of twelve credits. Lecture/Lab Hours: 3 lec/week

This is an introductory course in algebra. Topics include Integers and operations, the real number system, expressions and exponents, linear equations and inequalities, graphs of equations, polynomials and factoring, slope and equations of lines, systems of linear equations, and quadratic equations. Credit earned does not count toward any degree, nor does it transfer. A scientific calculator will be used in this course. Prerequisite: Appropriate placement score or completion of MAT 070 or MAT 072 with a grade of ""C"" or better. 4 Semester hour(s) Repeatable: This course may be repeated for a maximum of 16 credits. Lecture/Lab Hours: 4 lec/week

A study of points, lines, planes, angles, and other geometric figures. Properties of size and shape are investigated through observation and deduction. Topics include proof and logic, parallels and polygons, congruence and similarity, inequalities, right triangles, circles, area and volume. Compass/straightedge constructions and locus problems are also included. This course is designed for students that have not taken high school geometry or for those who need to relearn the basic concepts of geometry. Prerequisite: MAT 074 or MAT 075 or higher level math course with a grade of C or higher or appropriate placement score, or one year of high school algebra with grades of C or higher or one year of Math 1 with grades of C or higher. 4 Semester hour(s) Lecture/Lab Hours: 4 lec/week

This course is to prepare students for college-level liberal arts math, technical math, or general statistics courses through content that is relevant for non-STEM majors. Topics in this course incorporate real-life applications while teaching prealgebra, numerical, algebraic, geometric, and measurement concepts; along with an introduction to probability and statistics. Rationale for Course: This course is an alternative pathway for students starting with MAT.070, and who are preparing to take MAT 106 Applied Mathematics or MAT 115 Principles of Modern Math or MAT 240 Statistics. Students that want to take MAT 121 College Algebra will need to take MAT 081 Intermediate Algebra after earning a C or better in this course; or take MAT 075 followed by MAT 081. This course is also a good review of numerical, algebra, measurement, and data concepts for the TEAS (Test of Essential Academic Skills) Mathematics Test. Pre-requisite: MAT 070 with grade of C or higher; or appropriate placement score Semester hour(s): 4 Lecture/Lab hours: 4 lecture

This is an intermediate level algebra course; the following topics will be extended to an intermediate level of competency; real numbers and expressions, equations and inequalities, graphing methods, polynomials and factoring, quadratic equations, and systems of equations. New topics include: functions and their graphs, radicals and complex numbers, rational expressions, quadratic equations, quadratic and rational inequalities, graphs of second degree equations, and variation. Prerequisite: Appropriate placement score or completion of MAT 074 or MAT 075 with a grade of C or higher. This course may be repeated 3 times for a maximum of 16 credits. 4 Semester hour(s) Lecture/Lab Hours: 4 lec/week

Applied mathematics is a fundamental course for students in technical and career programs. The course includes fundamental mathematics, algebra, geometry, right triangle trigonometry, business mathematics, and statistical concepts which are applied to the solution of practical problems. Scientific notation, metrics and use of the calculator are also covered. Prerequisite: a grade of C or better in MAT 075 or MAT 078 (or higher) OR appropriate placement (see current placement score prerequisite chart) 3 Semester hour(s) Lecture/Lab Hours: 3 lec/week

The emphasis of this course is placed on mathematical reasoning and problem-solving as it pertains to modern elementary/middle school mathematics. Topics include: basic problem solving, whole numbers and elementary number theory, fractions, ratios and percents, rational numbers, and real numbers. Prerequisite: a grade of C or better in MAT 081 (or higher) AND MAT 076 OR appropriate placement (see current placement score prerequisite chart) 3 Semester hour(s) Lecture/Lab Hours: 2 lec, 2 lab/week

This course is a continuation of MAT 110. Topics include algebraic thinking, introductory probability and statistics, geometry, measurement, coordinate geometry and transformations. Prerequisite: MAT 110 with a grade of C or higher. 3 Semester hour(s) Illinois Articulation Initiative (IAI): M1 903 Lecture/Lab Hours: 2 lec, 2 lab/week

This course develops conceptual understanding, problem-solving, decision-making, and analytic skills dealing with quantities, their magnitudes, and interrelationships using technology. The topics of numbers, algebra, measurement, and data analysis will be covered, emphasizing modeling using linear and exponential functions. Students will cultivate critical thinking skills, including logical reasoning, estimation, and the assessment of validity. Prerequisite: A grade of C or better in MAT 078 or MAT 081; or an appropriate placement score (see current placement score prerequisite chart). 3 Semester hour(s) Illinois Articulation Initiative (IAI): pending Lecture/Lab Hours: 3 lec/week

An investigation of the key ideas in contemporary mathematics. Three or four topics will be studied, in depth, with at least three chosen from the following list: geometry, combinatorics and probability, graph theory, logic and set theory, mathematics of finance, and statistics. These topics are taught with an emphasis on problem-solving. This course serves as a general education mathematics course for liberal arts majors. Prerequisite: a grade of C or better in MAT 081 or MAT 078 (or higher) OR appropriate placement (see current placement score prerequisite chart) 3 Semester hour(s) Illinois Articulation Initiative (IAI): M1 904 Lecture/Lab Hours: 3 lec/week

Topics extended to the college level include: real numbers, exponents and radicals, polynomials and factoring, fractional expressions, equations and inequalities, functions and their graphs, conic sections, and systems of equations and inequalities. New topics include: zeros of polynomial functions, rational functions, exponential and logarithmic functions, matrices, sequences, and the Binomial Theorem. This course requires a graphing calculator. Prerequisite: a grade of C or better in MAT 081 (or higher) AND MAT 076 OR appropriate placement (see current placement score prerequisite chart) 4 Semester hour(s) Lecture/Lab Hours: 4 lec/week

This course consists of an elementary survey of trigonometry and its applications. Topics include a review of prerequisite topics, radian measure and the unit circle, trigonometric functions and their graphs, and inverse trigonometric functions. Also included are trigonometric identities and equations, the solution of right and oblique triangles, vectors, and a review of exponential and logarithmic functions and their applications. Prerequisite: a grade of C or better in MAT 121 or higher OR appropriate placement (see current placement score prerequisite chart) 3 Semester hour(s) Lecture/Lab Hours: 3 lec/week

The syntax of a high-level programming language is studied and applied to problems in mathematics, science and engineering. An emphasis is placed on the structured development of algorithms to solve these problems. The programming language features that lend themselves to problems in these areas such as special variable types, library and user defined functions, and subprograms are dealt with in more detail. Applications involving methods of finding roots of functions, numerical techniques of integration and differentiation, vector and matrix operations included. Prerequisite: MAT 203 with a grade of C or better. 3 Semester hour(s) Lecture/Lab Hours: 3 lec/week

The elementary concepts of differential and integral calculus are introduced and applications are discussed. These include limits, continuity, the derivative, rules of differentiation, the indefinite and definite integral. Trigonometric functions are dealt with. Some applications are: related rates, graphing, extreme value problems, and Newton's method for finding roots of equations. Prerequisite: A grade of C or better in MAT 121, College Algebra, AND MAT 122, Trigonometry OR appropriate placement (see current placement score prerequisite chart) 4 Semester hour(s) Illinois Articulation Initiative (IAI): M1 900-1, MTH 901 Lecture/Lab Hours: 4 lec/week

The methods of differentiation and integration are extended and power series are introduced. The new methods deal with: logarithms, exponential, hyperbolic and inverse trigonometric functions. Some applications are: area between two curves, volumes of revolution, arc length, and work. The techniques of integration by parts, partial fractions, trigonometric substitution and numerical integration are covered. Power series and the Taylor series function representation are introduced. Prerequisite: MAT 203 with a grade of C or higher. 4 Semester hour(s) Illinois Articulation Initiative (IAI): M1 900-2, MTH 902 Lecture/Lab Hours: 4 lec/week

The elementary ideas concerning conic sections, polar curves, and vector-valued and multivariate functions are covered. These topics include: area, arc length and tangents for polar curves. In addition, vectors, vector derivatives, curvature and motion in two and three space are studied. The multivariate concepts of differentiability, partial differentiation, gradient vectors, LaGrange multipliers, finding relative extreme values, and multiple integration are studied. The course also includes material on vector fields, line integrals, independence of path, Green's Theorem, surface integrals, the Divergence Theorem, and Stokes's Theorem. Prerequisite: MAT 204 with a grade of C or higher. 4 Semester hour(s) Illinois Articulation Initiative (IAI): M1 900-3, MTH 903 Lecture/Lab Hours: 4 lec/week

This course is an introduction to methods of solving differential equations as well as applications of differential equations to physical problems. The methods for solving first-order differential equations include: numerical techniques, separation of variables, substitution methods, exact equation techniques, and identification of integrating factors. Also, some types of higher order equations will be explored, including application problems. Linear independence and the Wronskian of higher order equations will be covered. Methods for solving second-order homogeneous and non-homogeneous equations include the methods of undetermined coefficients, reduction of order, and variation of parameters. At least two of the following topics will be covered in depth: LaPlace transforms, power series methods, partial differential equations and Fourier series, systems of linear differential equations, further numerical methods and non-cursory treatment of other advanced topics. Prerequisite: Grade of C or better in MAT 204, Calculus and Analytic Geometry II 3 Semester hour(s) Illinois Articulation Initiative (IAI): MTH 912 Lecture/Lab Hours: 3 lec/week

A study of some major topics in finite mathematics: interest, annuities, matrix theory, matrix operations, solutions of systems of inequalities, linear programming by graphing and Simplex methods, principles of counting and probability. Applications of these topics in the fields of business management, economics, and social science, as well as natural science are included. Prerequisite: Grade of C or better in MAT 121 OR appropriate placement (see current placement score prerequisite chart) 3 Semester hour(s) Illinois Articulation Initiative (IAI): M1 906 Lecture/Lab Hours: 3 lec/week

A brief course in elementary differential and integral calculus. Primarily for students of business, economics and social science, with emphasis on applications. Prerequisite: MAT 121 with a grade of C or higher or appropriate placement score, or four years of college preparatory high school mathematics with grades of C or higher OR Math 3 with a grade of C or higher. 4 Semester hour(s) Illinois Articulation Initiative (IAI): M1 900-B Lecture/Lab Hours: 4 lec/week

Introduction to analysis of finite collections and mathematical foundations of sequential machines, computer system design, data structures and algorithms. Includes sets and logic, counting, recursion, graph theory, trees, nets, Boolean algebra, automata, formal grammars and languages and algorithm analysis (big O) Prerequisite: a grade of C or better in MAT 121 (College Algebra) or higher OR appropriate placement (see current placement score prerequisite chart) 3 Semester hour(s) Illinois Articulation Initiative (IAI): M1 905, CS 915 Lecture/Lab Hours: 3 lec/week

This course is an introduction to the mathematical theory and application of matrices, vectors, vector spaces, and linear transformations. Topics include the algebra of matrices for solving systems of linear equations, the theory of finite-dimensional vector spaces, and theorems and applications associated with eigenvectors and eigenvalues. Students will construct proofs of propositions involving the following: matrices, determinants, vector spaces and inner product spaces. Applications of linear algebra will be examined. Prerequisite: a grade of C or better in MAT 204 3 Semester hour(s) Illinois Articulation Initiative (IAI): MTH 911 Lecture/Lab Hours: 3 lec/week

An introduction to basic concepts in statistical methods including measures of central tendency, measures of dispersion, probability, theoretical and empirical distribution, estimation, tests of hypotheses, linear regression and correlation. Prerequisite: a grade of C or better in MAT 081 or MAT 078 (or higher) OR concurrent enrollment in MAT 040 OR appropriate placement score (see current placement score prerequisite chart) 3 Semester hour(s) Illinois Articulation Initiative (IAI): M1 902 Lecture/Lab Hours: 3 lec/week