**Courses with these icons fulfill Illinois Articulation Initiative (IAI) General Education Core Requirements.**

# Core Requirement Courses in Mathematics

## CSCI 115: Discrete Structures

**Prerequisite(s)**:

-Completion of MATH 109 with a grade of C or better OR

-Placement at MATH 128 or higher

AND

-Placement at college level English OR

-Concurrent enrollment in ENGL 099/101

AND

-Placement at college level reading

Introduction to analysis of finite collections and mathematical foundations of sequential machines, computer system design, data structures and algorithms. Topics include sets and logic, sequences, subscripting and arrays, number systems, counting, recursion, graph theory, trees, nets, Boolean algebra, automata, and formal grammars and languages. Formal proofs (including induction) are introduced early in the course and addressed throughout the course. Connections between the mathematical theory and corresponding computer science applications are pervasive throughout the course. Computer programming labs are written in the current language used in the core Computer Science courses. This course is not intended for a Mathematics major or minor. *4 credit hours*

IAI GEC Code - M1 905

IAI Major Code - CS 915

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 111: Finite Math for Business and Social Science

**Prerequisite(s)**:

-Completion of MATH 106 or MATH 109 with a grade of C or better OR

-Placement at MATH 111

This class focuses on applications of the following topics: matrices, matrix algebra, linear programming, sets and counting techniques, probability, and the mathematics of finance. A graphing calculator is required for this course (instruction will be based on a TI 83+). *4 credit hours*

IAI GEC Code - M1 906

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 131: Explorations in Mathematics

**Prerequisite(s)**:

-Completion of MATH 093 OR

-Placement at college level math

This course focuses on mathematical reasoning and the solving of real-life problems, rather than on routine skills and appreciation. Three or four topics are studied in depth, with at least three chosen from the following list: counting techniques and probability, graph theory, logic/set theory, mathematical modeling, mathematics of finance, game theory, linear programming, and statistics. A scientific or graphic calculator are required for this course. *3 credit hours*

IAI GEC Code - M1 904

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 136: Mathematics for Elementary Teachers II

**Prerequisite(s)**:

-Completion of MATH 135 with a grade of C or better OR

-Permission of division dean

This course focuses on mathematical reasoning and problem solving; and provides instruction in teaching mathematics at the elementary grade level. Topics include algebra, probability, statistics, geometry, measurement, and the use of technology in the elementary school classroom. A scientific calculator is required for this course (a graphing calculator is also acceptable). *3 credit hours*

IAI GEC Code - M1 903

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 141: Introduction to Statistics

**Prerequisite(s)**:

-Completion of MATH 093 OR

-Placement at college level math

This course focuses on mathematical reasoning and the solving of real-life problems, rather than on routine skills and appreciation. Descriptive methods (frequency distributions, graphing and measures of location and variation), basic probability theory (sample spaces, counting, factorials, combinations, permutations, and probability laws), probability distributions (normal distributions and normal curve, binomial distribution, and random samples and sampling techniques), statistical inference (estimation, hypothesis testing, t-test, and chi-square test, and errors), correlation and regression, and f-test and analysis of variance. An emphasis is placed on calculating statistical results using appropriate technology, and interpreting those results in context, rather than using formulas and tables. *4 credit hours*

IAI GEC Code - M1 902

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 142: Business Statistics

**Prerequisite(s)**:

-Completion of MATH 106 or MATH 109 with a grade of C or better OR

-Placement at MATH 111

MATH 142 emphasizes problem solving of statistics applications to business. Topics include descriptive statistics (sampling techniques, organizing and presenting data as frequency distributions, measures of central tendency and variability), probability theory (sample spaces, counting techniques, and probability laws), probability distributions (e.g., Normal, Binomial, F, and Chi-Square distributions), and inferential statistics (estimation, hypothesis testing, and regression analysis). Note, a graphing calculator is required for this course (instruction will be based on a TI 83+). This course is not intended for a Mathematics major or minor. *4 credit hours*

IAI GEC Code - M1 902

IAI Major Code - BUS 901

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 151: Calculus for Business & Social Science

**Prerequisite(s)**:

-Completion of MATH 106 or MATH 109 with a grade of C or better OR

-Placement at MATH 151

This calculus course is designed specifically for students in business and the social sciences and does not count toward a major or minor in mathematics. It emphasizes applications of the basic concepts of calculus rather than proofs. Topics include limits; techniques of differentiation applied to polynomial, rational, exponential, and logarithmic functions (this includes partial derivatives and derivatives of higher order); maxima and minima of functions; elementary techniques of integration including substitution and integration by parts; and applications (business and social science applications are stressed throughout the course). A graphing calculator is required for this course (instruction will be based on a TI-83+). *4 credit hours*

IAI GEC Code - M1 900-B

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 161: Calculus I

**Prerequisite(s)**:

-Completion of MATH 109 and MATH 128 with a grade of C or better OR

-Placement at MATH 161

Topics include (but are not limited to) the following: limits and continuity; definition of derivative; rate of change, slope; derivatives of polynomial, rational, trigonometric, logarithmic and exponential functions; the chain rule; implicit differentials; approximation by differentials; higher order derivatives; Rolle?s Theorem; Mean Value Theorem; applications of the derivative; anti-derivative; L?Hopital?s Rule (0/0 and 8/8); the definite integral; the fundamental theorem of calculus; and area under the curve and Riemann Sums. A graphing calculate is required for this course (instruction will be based on a TI-89). *4 credit hours*

IAI GEC CODE - M1 900-1

IAI Major Code - MTH 901

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 162: Calculus II

**Prerequisite(s)**:

-Completion of MATH 161 with a grade of C or higher

A second course in Calculus. Topics include (but are not limited to) the following: area between two curves, volume, other applications of the integral; techniques of integration, including numerical methods; L?Hopital?s rule (indeterminate forms); improper integrals; sequences and series, convergence tests, Taylor series; parametric equations and polar coordinates. A graphing calculator is required for this course (instruction will be based on TI-89). *4 credit hours*

IAI GEC Code - M1 900-2

IAI Major Code - MTH 902

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 163: Calculus III

**Prerequisite(s)**:

-Completion of MATH 162 with a grade of C or higher

Topics include (but are not limited to) the following: applications of polar coordinates: area, arc length and conic sections; functions of more than one variable, partial derivatives; the differential, directional derivatives, gradients; double and triple integrals: evaluation and applications. Note, a graphing calculator is required for this course (instruction will be based on a TI 89). *4 credit hours*

IAI GEC Code - M1 900-3

IAI Major Code - MTH 903

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.