Mathematics

A basic course in arithmetic, dealing with such topics as addition, subtraction, multiplication, and division of whole numbers, as well as operations in fractions and decimals.

This course emphasizes the basic operations of arithmetic. Other topics include fractions, decimals, percents, ratio and proportion, and solution of simple equations. This course may not transfer to some universities. Prerequisite: MATH 101A with a grade of C or better, ACT math score 10-17, or ART ACCUPLACER score of 250 or above

MATH 101A Fundamentals of Mathematics I: A basic course in arithmetic, dealing with such topics as addition, subtraction, multiplication, and division of whole numbers and integers, as well as operations with fractions and decimals. Prerequisite: ACT math score 0-9, or ART ACCUPLACER score of 250 or below.

This course is a continuation of MATH 101A. Topics included are a review of fractions, percents, ratio, proportion, the solution of simple equations, and an introduction to simple concepts in geometry. The successful completion of the Math 101A - Math 101B sequence serves the same purpose as Math 101.

Prerequisite: Successful completion of MATH 101A with a grade of C or better. Completion of MATH 101B is equivalent to completion of MATH 101.

A course intended for students with little or no background in algebra. Covers concepts in whole numbers, fractions, decimals, polynomials, and linear equations, but not limited only to those areas. This course may not transfer to some universities.

Prerequisite: Completion of MATH 101 or MATH 101B with a grade of C or better. ACT math score 18-20, or QRAS ACCUPLACER score of 250-262.

This course is intended for students who have not completed a course in geometry. The students will learn and apply the principles of geometry as well as recognize their relevance to the real world. Prerequisite: Completion of MATH 102 with a grade of C or better.

This course considers an introduction to the real number system, linear equations, and inequalities, systems of equations, polynomials, fractional equations and expressions, exponents, roots and powers, quadratic equations and functions. Prerequisite: Completion of MATH 102 with grade of C or better. ACT math score 21-22, or QRAS ACCUPLACER score of 263 or above.

This is an introductory course using statistical software. In this course a general purpose statistical analysis software package is used for the organization, analysis, and presentation of data.

Prerequisite: Must enroll in MATH 247 at the same time. See class schedule for appropriate section.

Math Literacy for College Students is a one semester course for non-math and non-science majors integrating numeracy, proportional reasoning, algebraic reasoning, and functions.

Students will develop conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts.

Throughout the course, college success content will be integrated with mathematical topics. Prerequisite: Completion of MATH 101 or MATH 101B with a grade of B or better, ACT math score 18-20, or QRAS ACCUPLACER score of 250-262.

IAI M1 904

A selection of mathematical principles to better understand issues in a contemporary society. The focus is on mathematical reasoning and the solving of real-life problems rather than routine skills and appreciation. Topics include mathematical modeling, probability and statistics, graph theory, and linear programming. Prerequisite: MATH 107 with a grade of C or better, SAT Math score 550 or above, ACT math score 23-25, or AAF ACCUPLACER score of 250- 262

This course will consider basic algebraic operations and expand their use to cover major topics of factoring; work with exponents; solving equations, including linear, quadratic and systems; graphing; and functions. Prerequisite: Students must have one year of high school geometry with a grade of C or better or MATH 103 with a grade of C or better. Placement is satisfied with MATH 107 with a grade of C or better, SAT Math score 550 or above, ACT math score 23-25 ACT math score 23-25, or AAF ACCUPLACER score of 250-262.

This course will focus on definitions, properties, and graphical characteristics of trigonometric functions, radian measure, trigonometric identities and equations, solutions of oblique and right triangles, inverse trigonometric functions, and powers and roots of complex numbers. Further topics may include polar coordinates and vectors. Prerequisite: Completion of MATH 134 with a grade of C or better or concurrent enrollment. Placement is satisfied with an ACT math score 26-36, or AAF ACCUPLACER score of 263 or above.

IAI M1 902

Focuses on mathematical reasoning and the solving of real-life problems, rather than on routine skills and appreciation. Describe methods (frequency distributions and 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 interference (estimate, hypothesis testing, t- test and chi-square test, and errors), correlation and regression and f-test and analysis of variance. Prerequisite: completion of MATH 134 or MATH 130 or higher with grade of C or better.

Placement is satisfied with an ACT math score 26-36, or AAF ACCUPLACER score of 263 or above.

IAI M1 906

Emphasis is on concepts and applications, rather than mathematical structures (designed especially for students in business, economics, Social Sciences and Life Sciences, with applications drawn from these fields). Includes such topics as: vectors, determinants, matrices, and matrix algebra; systems of linear equations and matrices; systems of inequalities and linear programming; simplex method, set theory, logic and Boolean algebra; counting and probability theory; stochastic processes; game theory; Markov chain methods; mathematical modeling; and the mathematics of finance. Prerequisite: Completion of MATH 134 or higher with grade of C or better, ACT math score 26-36, or AAF ACCUPLACER score of 263 or above.

This course will emphasize the notion of a function as a unifying concept for the topics of college algebra and an extension of the topics of trigonometry. A graphing calculator is highly recommended. Prerequisite: Students must complete year of high school geometry with a grade of C or better or MATH 103 with a grade of C or better. Placement is satisfied with MATH 107 with a grade of C or better, ACT math score 24-36, or AAF ACCUPLACER score of 263 or above.

IAI MTH 901 IAI MI 900-1

Topics include (but are not limited to) the following: limits and continuity; definition of derivative: rate of change, slope; derivatives of polynomial and rational functions; the chain rule; implicit differentials; approximation by differentials; higher order derivatives; Rolle's Theorem: mean value theorem; applications of the derivative; anti-derivative; the definite integral; the fundamental theorem of calculus; area, volume, other applications of the integral; the calculus of the trigonometric function; logarithmic and exponential functions. Prerequisite: Completion of MATH 135 or MATH 160 with a grade of C or better, ACT math score 28-36, or AAF ACCUPLACER score of 276 or above.

Basic elements of mathematics for students majoring in elementary education. Includes origin of numerals, sets, relations, systems of numeration, natural numbers, integers, rational numbers and real numbers. Prerequisite: Students must complete and one year of high school geometry with a grade of C or better or MATH 103 with a grade of C or better. Placement is satisfied with a C or better in MATH 107, SAT Math score 550 or above, ACT math score 23-25, or AAF ACCUPLACER score of 250-262.

IAI M1 903

Topics include an introduction of computer hardware and software (input/output devices and operating systems), basic problem- solving techniques and programming paradigms, fundamental numerical algorithms, fundamental non-numerical algorithms and the C++ computer language. Prerequisite: Completion of MATH 166 with a "C" or better or consent of instructor.

IAI MTH 911

A first course in linear algebra, including vectors and matrices; vector spaces and subspaces; linear dependence, independence and transformations; basis and dimension; sums, composites, inverse of linear transformations; determinants; and orthogonality. The course also includes eigenvalues and eigenvectors.

Prerequisite: Completion of MATH 267 with a grade of "C" or better.

IAI MI 900-B

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 must include limits; techniques of differentiation applied to polynomial, rational, exponential, and logarithmic functions; partial derivatives and applications; maxima and minima of functions; and elementary techniques of integration including substitution and integration by parts. Business and social science applications are stressed throughout the course. Prerequisite: Completion of MATH 134 with a grade of C or better. ACT math score 26-36, or AAF ACCUPLACER score of 263 or above.

IAI BUS 901

The basic concepts of statistical analysis used in business decision making, including probability and how uncertainty is dealt with in real life. The student will analyze and work out simple problems and should be able to recognize instances in which statistical techniques have been misused. The following concepts and statistical techniques are included: measures of central tendency and variability; random variables and probability distributions; binomial, normal and sampling distributions; estimation; tests of hypothesis; chi square tests; linear regressions and correlation; and one way analysis of variance. Prerequisite: Completion of MATH 143 with a grade of "C" or better. Must enroll in MATH 124 at the same time. See class schedule for appropriate section.

IAI M1 900-2 IAI MTH 902

Topics include (but are not limited to) the following: limits and continuity; definition of derivative: rate of change, slope; derivatives of polynomial and rational functions; the chain rule; implicit differentials; higher order derivatives; Rolle's Theorem: mean value theorem; applications of the derivative; anti-derivative; the definite integral; the fundamental theorem of calculus; area, volume, other applications of the integral; the calculus of the trigonometric functions; logarithmic and exponential functions; techniques of integration, including numerical methods; indeterminate forms: L'Hopital's rule; improper integrals; sequences and series, convergence tests, Taylor series; functions of more than one variable, partial derivatives; the differential, directional derivatives, gradients; double and triple integrals: evaluation and applications. Prerequisite: Completion of MATH 166 with a grade of "C" or better.

IAI M1 900-3 IAI MTH 903

Topics include (but are not limited to) the following: limits and continuity; definition of derivative: rate of change, slope; derivatives of polynomial and rational functions; the chain rule; implicit differentials; approximation by differentials; higher order derivatives; Rolle's Theorem: mean value theorem; applications of the derivative; anti-derivative; the definite integral; the fundamental theorem of calculus; area, volume, other applications of the integral; the calculus of the trigonometric functions; logarithmic and exponential functions; techniques of integration, including numerical methods; indeterminate forms: L'Hopital's rule; improper integrals; sequences and series, convergence tests, Taylor series; functions of more than one variable, partial derivatives; the differential, directional derivatives, gradients; double and triple integrals: evaluation and applications.

Prerequisite: Completion of MATH 267 with a grade of "C" or better.

IAI MTH 912

This course must cover linear equations of the first order; linear equations with constant coefficients; the general linear equation; variation of parameters; undetermined coefficients; linear independence; the Wronskian; exact equations; separation of variables; and applications. In addition, the course must cover at least two or three of the following topics: systems of linear differential equations; solution of Laplace transforms; existence and uniqueness of solutions; solution by power series; oscillation and comparison theorems; partial differential equations; boundary value problems; numerical methods, and stability of solutions.

Prerequisite: Completion of MATH 267 with a grade of "C" or better.

*SIUE requires these courses. Other schools may allow biology sequence.

**SIUE requires PHLE 110 Logic.

***Math 236, 210, 269 are only offered in the Spring semester of each year.