MAT 041                      INTRODUCTION TO ALGEBRA

                                                            Fall/Spring/Summer

This course is an introduction to the algebraic fundamentals.  The material covered in this course includes operations on signed numbers, linear equations and inequalities, exponents, polynomials, and rational expressions.  It is designed for students who have had no algebra or who desire a review of this material.  Successful completion of this course should prepare a student for MAT 114, Intermediate Algebra.

Credit:  3 hours - Three lecture hours per week.

Prerequisite(s):  None

 

MAT 042                      INTRODUCTION TO GEOMETRY

                                                            Fall/Spring

The course covers the fundamental concepts of geometry for students who lack credit of one year of high school geometry or who need a review of the subject matter.  It is similar to a one-year course in high school geometry.  Deductive and inductive reasoning and direct and indirect proofs are an integral part of this course as well as concepts of undefined terms, axioms, and theorems.  Other topics include triangles, congruence, similarity, lines, angles, circles, parallelism, perpendicularity, polygons, and construction techniques.

Credit:  2 hours - Two lecture hours per week.

Prerequisite(s):  Introduction to Algebra-MAT 041 or high school equivalent with a grade of “C” or better.  May also be taken concurrently with Introduction to Algebra-MAT 041.

 

MAT 046                      DEVELOPMENTAL MATH

                                                            Fall/Spring

This is a review of basic arithmetic concepts and operations:  addition, subtraction, multiplication, and division of whole numbers, fractions, decimals, percents, and metrics.  Students are placed into this course by their placement scores.  In order to advance to the next mathematics course (MAT 0041), students must complete this course with a grade of “A”, or a comparable score on the exit exam for this course.

Credit:  3 hours - Three lecture hours per week.

Prerequisite(s):  None

 

MAT 110                      GENERAL EDUCATION MATHEMATICS

T          M1 904             Fall/Spring/Summer

This course focuses on mathematical reasoning and the solving of real-life problems, rather than routine skills.  Topics to be studied in depth include graph theory, counting techniques and probability, statistics, and finance or geometry.  Calculators will be used extensively.

Credit:  4 hours - Four lecture hours per week.

Prerequisite(s):  Geometry-Mat 042, Intermediate Algebra-MAT 114 with a grade of “C” or better, or equivalent math background in high school.

 

MAT 111                      MATH FOR ELEMENTARY TEACHERS I

T                                  Fall

This course covers problem solving strategies, sets, relations, other numeration systems, algorithms, whole numbers, integers, rational numbers and real numbers.  It is designed for elementary education majors.

Credit:  4 hours – Four lecture hours per week.

Prerequisite(s):  Geometry-Mat 042, Intermediate Algebra-MAT 114 with a grade of “C” or better, or equivalent math background in high school.

 

MAT 112                      MATH FOR ELEMENTARY TEACHERS II

T          M1 903             Spring

This course is a continuation of MAT 111.  It includes mathematical reasoning, logic, probability, statistics, finance, and geometry.  It is designed for elementary education majors who will transfer to SIU-C.

Credit:  4 hours – Four lecture hours per week.

Prerequisite(s):  Geometry-Mat 042, Intermediate Algebra-MAT 114 with a grade of “C” or better, or equivalent math background in high school.  Math for Elementary Teachers-MAT 111 recommended.

 

MAT 113                      QUANTITATIVE LITERACY

T          M1 901             Fall/Spring

This course provides a conceptual understanding of quantitative reasoning.  It develops skills in problem solving, analytical thinking, and analyzing data using graphs; descriptive statistics; using polynomial, exponential, and logistic functions and systems of equations and inequalities to model and solve real-world problems; logic, estimating, and judging reasonableness of answers; using the graphing calculator and/or computer to facilitate problem solving.

Credit:  4 hours - Four lecture hours per week.

Prerequisite(s):  Geometry-MAT 042, Intermediate Algebra-MAT 114 with a grade of "C" or better, or equivalent math background in high school.

 

MAT 114                      INTERMEDIATE ALGEBRA

                                                            Fall/Spring/Summer

This course is an intermediate-level course in Algebra.  It includes properties and operations of the real number systems, equations and inequalities, polynomials, rational expressions, powers, roots, radicals, functions, and graphing.

Credit:  5 hours - Five lecture hours per week.

Prerequisite(s):   Introduction to Algebra-MAT 041 with grade of C or better or 1 year of high school algebra with grade of C or better, or equivalent.

 

MAT 115                      PRE-CALCULUS

T                                  Fall/Spring

An integrated college-level course in the elementary functions of College Algebra and Trigonometry.  It includes a study of number systems, equation and inequality solving, functions and graphing, linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions, systems of equations and inequalities, binomial expansions, analytic trigonometry, and applications of trigonometry.  This course should not be taken by a student who has completed College Algebra-MAT 116 and Trigonometry-MAT 118 with a grade of "C" or better.  Graphing calculators will be used in this course.

Credit:  5 hours - Five lecture hours per week.

Prerequisite(s)s:  Geometry-MAT 042 and Intermediate Algebra-MAT 114 with a grade of "C" or better or satisfactory math background in high school.

 

MAT 116                      COLLEGE ALGEBRA

T                                  Fall/Spring

This is a college-level algebra course.  First and second degree equations and inequalities; polynomial, rational, exponential and logarithmic functions; complex numbers; graphing; systems of equations, matrices and determinants; and binomial expansions.  This course should not be taken by a students who has successfully completed Pre-calculus-MAT 115.  Graphing calculators will be used in this class.

Credit: 4 hours - Four lecture hours per  week. 

Prerequisite(s):  Geometry-MAT 042, Intermediate Algebra-MAT 114 with a grade of “C” or better, or equivalent math background in high school.

 

MAT 117                      CALCULUS I

T          M1 900-1/                   Fall/Spring

This is a college level course in analytic geometry and calculus, including coordinate geometry, limits, continuity, derivatives (including trigonometric functions) and applications, and indefinite and definite integrals with applications.  Graphing calculators will be used in this class.

Credit:  5 hours - Five lecture hours per week.

Prerequisite(s):  Pre-Calculus–MAT 115, or a combination of College Algebra-MAT 116 and Trigonometry-MAT 118 with a grade of “C” or better, or equivalent math background in high school.

 

MAT 118                      TRIGONOMETRY

T                                  Spring

This course is the study and applications of fundamental concepts in trigonometry.  It includes trigonometric functions, identities, equations, and inverse functions; graphing, degree and radian measure; solution of triangles; vectors; and powers and roots of complex numbers. This course should not be taken by a student who has successfully completed Pre-calculus-MAT 115.  Graphing calculators will be used in this class.

Credit:  2 hours - Two lecture hours per week.

Prerequisite(s):  College Algebra-MAT 116 or equivalent.

 

MAT 119                      FINITE MATHEMATICS

T          M1 906             Spring

This course is an introductory course in analysis for business, life science, and social science students.  This course includes set theory, counting and elementary probability theory, vectors, systems of linear equations and matrices, Markov chains, and game theory, systems of inequalities and an introduction to linear programming, logic and statistics.  Graphing calculators will be used in this class.

Credit:  3 hours - Three lecture hours per week.

Prerequisite(s):  Intermediate Algebra-MAT 114 with a grade of “C” or better.

 

MAT 121                      TECHNICAL MATHEMATICS

                                                            Fall

This course involves basic mathematics for the vocational-technical student.  It includes arithmetic, the metric system, geometric concepts, and basic algebra with applications to vocational situations.

Credit:  3 hours - Three lecture hours per week.

Prerequisite(s):  Introduction to Algebra-MAT 041 or high school equivalent with a grade of “C” or better.

 

MAT 122                      APPLIED BASIC MATHEMATICS

                                                            Spring/Summer

This course includes topics in mathematics that are frequently encountered in many vocational areas.  It is especially suitable for students in nursing and food service programs.  The topics covered include fractions, mixed numbers, decimals, percents, metrics measurements, and ratios and proportions.  Approximately a third of this course will be devoted to real problems from the student’s career program.

Credit:  3 hours - Three lecture hours per week.

Prerequisite(s):  None

 

MAT 161                      APPLIED VOCATIONAL MATH

                                                            By Request

This course is a study of math concepts as applied to practical problems in the technical and occupational fields.

Credit:  1 hour - One lecture hour per week

Prerequisite(s):  None

 

MAT 210                      ELEMENTARY STATISTICS

T          M1 902             Fall/Spring/Summer

This course is an introduction to the theory and application of statistics.  The course of study will include descriptive methods of data analysis, probability theory, counting techniques, probability distributions including binominal and normal distributions, correlation, regression, one-sample and two-sample hypothesis testing, confidence intervals, chi-square, sampling and simulation techniques, and analysis of variance.  Graphing calculators will be used in this course.

Credit:  4 hours - Three lecture and two lab hours per week.

Prerequisite(s):  Geometry-MAT 042, Intermediate Algebra-MAT 114 with a grade of "C" or better, or equivalent math background.

 

MAT 211                      CALCULUS II

T          M1 900-2/                   Spring/Summer

This course is a study of analytic geometry extended, transcendental functions, techniques of integration, indeterminate forms and improper integrals, numerical approximation techniques, infinite series, conics, polar coordinates, introduction to partial derivatives and multiple integration.

Credit:  5 hours - Five lecture hours per week.

Prerequisite(s):  Calculus I-MAT 117 with a grade of “C” or better

 

MAT 212                      CALCULUS III

T          M1 900-3                     Fall

This course is a study of parametric equations, vector functions, multiple integrals, partial differentiation, 3-space, vector calculus, curvilinear motion, and an introduction to differential equations.

Credit:  5 hours - Five lecture hours per week.

Prerequisite(s):  Calculus II-MAT 211 with a grade of “C” or better

 

MAT 213                      ORDINARY DIFFERENTIAL EQUATIONS I

T                                  Spring

This course is an introduction to differential equations.  Methods include separation of variables, homogenous, exact, linear, applications, undetermined coefficients, variation of parameters, power series solutions, and Laplace transforms.

Credit:  3 hours - Three lecture hours per week.

Prerequisite(s):  Calculus I-MAT 117 and Analytic Geometry and Calculus II-MAT 211 with a grade of "C" or better

 

MAT 215          APPLIED CALCULUS FOR BUSINESS/SOCIAL SCIENCE

T          M1 900-B                     Fall/Summer

This course includes the application of basic concepts of calculus.  It includes sets, functions (linear, exponential, and logarithmic), applications of functions and graphs, limits, differentiation (derivatives and application of differentiation), definite and indefinite integrals, fundamental theorems of calculus, applications of integration, and selected topics from analytic geometry.  Graphing calculators will be used in this class.

Credit:  4 hours - Four lecture hours per week.

Prerequisite(s):  College Algebra-MAT 116 or Pre-calculus-MAT 115 with a grade of "C" or better.

 

MAT 217                      INTRODUCTION TO LINEAR ALGEBRA

                                                            By Request

This course is an introduction to vectors, vector spaces, and linear transformations.  The topics to be covered include vectors, operations on matrices, inverse of a matrix, solutions of systems of linear equations, rank of a matrix, vector spaces and subspaces, linear dependence and independence, basis and dimension, linear transformations, sums, composites and inverses of linear transformations, range and kernel of a linear transformation.  Further topics could include determinants, eigenvalues and eignvectors, orthogonality and inner product spaces, and quadratic forms.

Credit:  3 hours – Three lecture hours per week.

Prerequisite(s):  Calculus I-MAT 117.

 

MAT 220                      DISCRETE MATHEMATICS

                        T                                  Spring

Introduction to analysis of finite collections and mathematical foundations of sequential machines, computer system designs, data structures and algorithms.  It includes sets, counting, recursion, graph theory, trees, nets, Boolean algebra, automata, and formal grammars and languages.

Credit:  3 hours - Three lecture hours per week.

Prerequisite(s):  None