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Math Program Course Descriptions
BUSN-149 Business Mathematics 3 Credit Hours
Basic mathematics is applied to the problems of business. Topics studied include application of percentage, cash and trade discounts, markup, interest calculations, payroll computations, installment buying, business graphs, and business insurance. Prerequisite: MATH 101 or testing criteria.
DFTG-120 Drafting Mathematics 3 Credit Hours
This course provides experiments and problems dealing with lines, angles, circles and triangles using the concepts of trigonometry.
MATH-058 Fundamentals of Mathematics 3 Credit Hours
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.
MATH-101 Basic Mathematics 3 Credit Hours
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, Fundamentals of Mathematics I, with a grade of C or better, ACT score of 10-17 or equivalent COMPASS score Pre-Algebra Domain 26-46
MATH-101A Fundamentals of Mathematics I 3 Credit Hours
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 COMPASS score Pre-Algebra Domain 0-25
MATH-101B Fundamentals of Mathematics II 3 Credit Hours
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, Fundamentals of Mathematics I, with a grade of C or better. Completion of MATH 101B, Fundamentals of Mathematics II, is equivalent to completion of MATH 101, Basic Math.
MATH-102 Elementary Algebra 4 Credit Hours
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: A grade of C or better in MATH 101, Basic Mathematics or MATH 101B, Fundamentals of Mathematics II, or ACT score of 18-20 or equivalent COMPASS score Pre-Algegra Domain 47-99 or Algebra Domain 0-45.
MATH-103 Elementary Plane Geometry 3 Credit Hours
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: A grade of C or better in MATH 102, Elementary Algebra or 1 full year of high school algebra with a C or better.
MATH-107 Intermediate Algebra 4 Credit Hours
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, Elementary Algebra or equivalent and MATH 103, Elementary Plane Geometry with grade of C or better or ACT score 21-22 or equivalent COMPASS score Algebra Domain 46-65
MATH-107B Summer Bridge Math 2 Credit Hours
This course considers an introduction to linear equalities, systems of equations, polynomials, fractional equations and expressions, exponents, roots, and powers, quadratic equations and functions, and logrithms. Prerequisite: COMPASS Score Algebra Domain 56-65
MATH-109 Tech Prep Math 1 Credit Hours
This course emphasizes the basic operations of arithmetic (addition, subtraction, multiplication, and division). Other topics include integers, fractions, decimals, percents, ratio/proportion, conversion of units, geometry, solutions to simple equations, inequalities, applications and problem solving. After completing this course, the student should have the requisite math skills to understand and enroll in TECM 118. Prerequisite: ACT score of 10-17 or equivalent COMPASS score Pre-Algebra Domain 26-46
MATH-124 Statistics Software 1 Credit Hours
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, Business Statistics at the same time. See class schedule for appropriate section.
MATH-130 Intro to Contemporary Mathematics 3 Credit Hours
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: A minimum grade of C or better in MATH 107, Intermediate Algebra and completion of high school geometry or equivalent or ACT score 23-25 or equivalent COMPASS score Algebra Domain 66-99 or College Algebra Domain 0-45
MATH-134 College Algebra 3 Credit Hours
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: Completion of 2 years of high school algebra with a grade of "C" or better, or MATH 107, Intermediate Algebra and MATH 103, Elementary Plane Geometry with a grade of "C" or better. ACT score 23-25 or COMPASS score Algebra Domain 66-99 or College Algebra Domain 0-45
MATH-135 Trigonometry 3 Credit Hours
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: ACT score 26+ or equivalent COMPASS score College Algebra Domain 46-99 or Tigonometry Domain 0-45 or a completion of MATH 134, College Algebra with a grade of C or better or concurrent enrollment
MATH-136 General Statistics 4 Credit Hours
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: High School geometry or equivalent and completion of MATH 134 College Algebra or MATH 130 Contemporary Mathmatics or higher with grade of C or better or ACT score 26+ or COMPASS score College Algebra Domain 46-99 or Trigonometry Domain 0-45
MATH-143 Finite Mathematics 3 Credit Hours
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, College Algebra or higher with grade of C or better or ACT score of 26+ or equivalent COMPASS score College Algebra Domain 46-99 or Trigonometry Domain 0-45
MATH-160 Precalculus 5 Credit Hours
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: Completion of MATH 103, Elementary Plane Geometry and MATH 107, Intermediate Algebra with a grade of C or better. ACT score 24+ or equivalent COMPASS score College Algebra Domain 40
MATH-166 Calculus and Analytical Geometry I 5 Credit Hours
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, Trigonometry or MATH 160, Precalculus with a grade of C or better, high school trigonometry or permission of instructor. ACT score 28-36 or equivalent COMPASS score Trigonometry domain 46-99
MATH-170 Math for Elementary Teachers I 4 Credit Hours
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: High school geometry or equivalent, two (2) years of high school algebra or MATH 107, Intermediate Algebra with a grade of "C" or better. ACT score of 23-25 or equivalent COMPASS score algebra domain 66-99 or College Algebra domain 0-45
MATH-172 Math for Elementary Teachers II 3 Credit Hours
Focuses on mathematical reasoning and problem solving, by using calculators and microcomputers in problem solving. Topics are selected from: sets, functions and logic, whole numbers, integers, rational numbers, irrational numbers and the real number system (e.g., number theory, probability, statistics, measurement and non-metric geometry). The two-course sequence meets the requirements for state certification in elementary teaching. Fulfills the Illinois Transferable General Education Core Curriculum (iTransfer Gen. Ed.) requirement only for students seeking state certification as elementary teachers. Prerequisite: Completion of MATH 170, Math for Elementary Teachers I, with a grade of "C" or better
MATH-199 Topics/Issues in Mathematics 1 Credit Hours
Group study through selected workshops, seminars, telecourses, etc. Credit will be designated in accordance with course requirements as specified in the approved syllabus. This course may be taken for variable credit hours. May be repeated for a different topical area once without approval; additional repetition requires appropriate Dean approval.
MATH-210 Computer Programming for Engineers 3 Credit Hours
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, Calculus and Analytical Geometry I, with a "C" or better or consent of instructor.
MATH-236 Linear Algebra 3 Credit Hours
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 orthogonlity. The course also includes eigenvalues and eigenvectors. Prerequisite: Completion of MATH 267, Calculus and Analytical Geometry II with a grade of "C" or better.
MATH-246 Calculus for Busn. & Social Science 4 Credit Hours
This course is designed primarily for students majoring in business or social and behavioral sciences. Topics of study will include limits, continuity, definition of a derivative, rule of differentiation, maxima and minima, and indefinite and definite integrals, multivariable functions and applications in the areas of Business and Economics. Prerequisite: Completion of MATH 134, College Algebra with a grade of C or better or ACT score of 26+ or equivalent COMPASS score College Algebra Domain 46-99 or Trigonometry Domain 0-45
MATH-247 Business Statistics 3 Credit Hours
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, Finite Mathematics with a grade of "C" or better. Must enroll in MATH 124 at the same time. See class schedule for appropriate section
MATH-267 Calculus and Analytical Geometry II 4 Credit Hours
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, Calculus and Analytical Geometry I, with a grade of "C" or better
MATH-268 Calculus and Analytical Geometry III 3 Credit Hours
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, Calculus and Analytical Geometry II with a grade of "C" or better
MATH-269 Differential Equations 3 Credit Hours
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, Calculus and Analytical Geometry II with a grade of "C" or better
PHYS-210 Electrical Circuit Analysis 3 Credit Hours
Topics include concepts of electricity and magnetism; circuit variables (units, voltage, inductance, power and energy); circuit elements (R,L,C, and operational amplifiers); simple resistive circuits; circuit analysis (node-voltage, mesh-current, equivalents and superposition); transient analysis; and sinusoidal steady state (analysis and power). Prerequisite: C or better in PHYS 202 and C or better in MATH 268.
PSCI-203 Statics 3 Credit Hours
Topics include particle statics, general principles and force vectors, rigid body equilibrium, moments of inertia, distributed forces and centroids, analysis of structures, virtual work, and friction. Prerequisite: C or better in MATH 166. Must enroll in PHYS 201 at the same time.
PSCI-204 Dynamics 3 Credit Hours
Topics include particle kinematics (rectangular and curvilinear); Newton's laws; energy, work, and momentum methods; planar dynamics and rigid bodies; rigid body inematics; impulse and momentum; and vibrations. Prerequisite: "C" or better in PSCI 203.
PSCI-205 Mechanics of Materials 3 Credit Hours
Topics include concepts of stress and strain; material properties (elastic and plastic); torsion: shear stresses and deformation; thermal stresses; thin-walled pressure vessels; pure bending: stresses and strains; transverse loading of beams; shear stress and combined loadings; transformation of stress and strain (Mohr's Circle); beams; energy methods; and columns. Prerequisite: "C" or better in PSCI 203.
TECM-118 Vocational-Technical Math 3 Credit Hours
This course covers the use of the following math skills in solving occupational problems: whole numbers, fractions, and decimals; percents; measurement; formulas and equations; lines, angles and shapes; positive and negative numbers; and ratios and proportions.Prerequisite: Completion of MATH 101B or MATH 101 with C or better or ACT score of 18-20 or equivalent COMPASS score Pre-Algebra Domain 47-99 or Algebra Domain 0-45 and Consent of advisor.
TECM-119 Technical Mathematics 3 Credit Hours
This course provides experience to mathematics for first year technical students. The course is designed to develop all of the mathematical skills required in various technical fields, including an understanding of the metric system and the use of a calculator. Prerequisite: TECM 118 with a grade of C or better or ACT score 21-22 or COMPASS score Algebra Domain 46-65.
TECM-120 Technical Mathematics II 3 Credit Hours
Mathematical topics from algebra and trigonometry that are most useful in solving electronics problems, including emphasis on power often and scientific notation, basic trigonometric functions, right triangle solution, decimal and nondecimal systems of numeration.
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