Mathematics (MATH)

MATH 0405
Study Skills: Math Anxiety
1 credit hourBasic course designed for students who want to reduce or manage math anxiety. Students examine underlying issues that contribute to math anxiety; discuss various learning styles; assess own learning style; learn ways to accommodate an instructor's teaching style; and learn strategies and techniques to effectively cope with math anxiety. This course may be taken three times for credit. This course can only be taken on a pass/fail basis. Prerequisite: Consent of instructor is required. (1 lecture hour)

MATH 0408
Arithmetic Whole Numbers I
0.5 credit hoursComputation skills involving addition and subtraction of whole numbers and applications. This course can only be taken on a pass/fail basis. Prerequisite: Consent of instructor is required. (.5 lecture hour)

MATH 0409
Arithmetic Whole Numbers II
0.5 credit hoursComputation skills involving multiplication and division of whole numbers and applications. This course can only be taken on a pass/fail basis. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0410
Arithmetic of Whole Numbers
0.5 credit hoursComputation skills involving addition, subtraction, multiplication, division and applications of whole numbers. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0412
Arithmetic of Fractions I
0.5 credit hoursComputation skills involving addition and subtraction of fractions and mixed numbers. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0413
Arithmetic of Fractions II
0.5 credit hoursComputation skills involving multiplication and division of fractions and mixed numbers. This course may be taken four times for credit. Prerequisite: Consent of instructor is required (0.5 lecture hour)

MATH 0415
Arithmetic of Decimals
0.5 credit hoursComputation skills involving addition, subtraction, multiplication and division of decimals. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0417
Arithmetic of Percents
0.5 credit hoursComputation skills involving percents, conversions among fractions, o decimals and percents including applications. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0418
Arithmetic of Ratio/Proportion
0.5 credit hoursComputation skills involving ratio and proportion. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0420
Arithmetic: Special Topics
0.5 credit hoursTopics include exponents, roots, rounding and estimating. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0422
Arithmetic of Signed Numbers
0.5 credit hoursComputation skills involving addition, subtraction, multiplication and division of signed numbers, and properties of numbers. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0424
Algebra: Solving Linear Equations
0.5 credit hoursSolve linear equations algebraically. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0426
Algebra: Word Problems
0.5 credit hoursWord problems involving money, ratio and proportion, percent and variation. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0428
Algebra: Exponents
0.5 credit hoursAlgebraic expressions involving positive, negative and zero exponents. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0430
Algebra: Factoring
0.5 credit hoursFactoring polynomials and its application in solving equations. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0432
Algebra: Fractions
0.5 credit hoursComputation skills involving addition, subtraction, multiplication and division of algebraic fractions and applications of algebraic fractions. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0434
Algebra: Graphing
0.5 credit hoursGraph linear and quadratic equations and linear inequalities. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0436
Algebra: Systems of Linear Equations
0.5 credit hoursSolving systems of linear equations including applications by graphing, elimination and substitution. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0438
Algebra: Radicals
0.5 credit hoursSimplifying algebraic expressions containing radicals by addition, subtraction, multiplication and division; radical equations; Pythagorean Theorem applications. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0440
Algebra: Quadratic Equations
0.5 credit hoursSolve quadratic equations by factoring and the quadratic formula. This course may be taken four times for credit. Prerequisite: Consent of instructor is required. (0.5 lecture hour)

MATH 0451
Essentials of Arithmetic I
2 credit hoursFundamental skills in addition, subtraction, multiplication and division with respect to whole numbers, fractions, ratio and proportion, and decimals. Included are problemsolving techniques with practical application. Equivalent to the first half of Mathematics 0460. This course may be taken four times for credit. (2 lecture hours)

MATH 0452
Essentials of Arithmetic II
2 credit hoursPrinciples of arithmetic, review of fractions, exponents, order of operations, percents and applications, ratio and proportion, and applications. This course may be taken four times for credit. (2 lecture hours)

MATH 0455
Fundamentals of Algebra
2 credit hoursCovers essential fundamentals of algebra. Students begin with signed numbers, learn to solve equations and inequalities, apply properties of exponents, and perform fundamental operations with polynomials. Included are problemsolving techniques with practical application. This course may be taken four times for credit. (2 lecture hours)

MATH 0460
College Arithmetic
3 credit hoursPrinciples of arithmetic. Fundamental operations with whole numbers, common fractions and decimals. Percents and applications in the world of business. Rational numbers, exponents and powers. This course may be taken four times for credit. (3 lecture hours)

MATH 0465
Preparatory Mathematics for General Ed
5 credit hoursContent is designed to develop sufficient algebra proficiency for success in certain collegelevel general education mathematics courses. Collaborative projectbased and technologyenabled group work includes modeling, problem solving, critical thinking, data analysis, algebra fundamentals, and both verbal and written communication of mathematical ideas. Prerequisite: Mathematics 0460 (or college equivalent) with a grade of C or better, or a qualifying score on the math placement exam. (5 lecture hours)

MATH 0470
Elementary Plane Geometry
3 credit hoursPoints and lines in the plane, angles, triangles, quadrilaterals, polygonal regions, circles and their relationships. Prerequisite: Mathematics 0481 or college equivalent with a grade of C or better or a qualifying score on the mathematics placement test (3 lecture hours)

MATH 0481
Foundations for College Mathematics I
5 credit hoursTopics from elementary algebra: sets of numbers, operations with real numbers, variables, integral exponents, scientific notation, simplification of algebraic expressions, solving linear equations and inequalities in one variable, graphing linear equations, writing equations of lines, solving linear inequalities in two variables, solving systems of linear equations in two or more variables, applications, problem solving, operations with polynomials, factoring polynomials, and solving equations using factoring. Prerequisite: Mathematics 0460 or college equivalent with a grade of C or better or a qualifying score on the mathematics placement test (5 lecture hours)

MATH 0482
Foundations for College Mathematics II
5 credit hoursTopics from elementary algebra and intermediate algebra: operations with algebraic fractions, solving equations with the algebraic fractions, radicals and rational exponents, complex numbers, solving quadratic equations, variation, solving equations and inequalities involving absolute value, function notation, graphing functions, inverse functions, exponential and logarithmic functions, applications and problem solving. Prerequisite: Mathematics 0481 (or college equivalent) with a grade of C or better or a qualifying score on the mathematics placement test (5 lecture hours)

MATH 0485
Algebra Refresher Workshop
0.5 credit hoursDesigned as a focused review of the elementary and intermediate algebra techniques and associated problem solving skills required for a student to be successful in college level math. Students meeting masterylevel performance qualifications in the workshop can take a written departmental exit examination for potential placement. Prerequisite: Consent of instructor is required (0.5 lecture hour)

MATH 1100
Business Mathematics
3 credit hoursApplications of mathematics to business transactions. Analysis and solution of the business problems in profit and loss, interest, installment transactions, percent discounts, taxes and payroll. Prerequisite: Mathematics 0460 or college equivalent with a grade of C or better or a qualifying score on the mathematics placement test (3 lecture hours)

MATH 1102
Mathematics for Health Sciences
3 credit hoursDesigned for health science majors. Topics include systems of measurements, use of formulas, dimensional analysis, percents, decimals, fractions, ratio and proportion, direct and inverse variation, solutions, and dosage calculations. Prerequisite: Mathematics 0465 or Mathematics 0481 or college equivalent with a grade of C or better or a qualifying score on the mathematics placement test (3 lecture hours)

MATH 1104
Mathematics for Horticulture
3 credit hoursDesigned for horticulture majors only. Topics include fractions, decimals, percents, systems of measurement, dimensional analysis, use of formulas, ratio and proportion, linear equations, perimeter, area, volume, and surface area as related to landscape, mixtures as related to seed, fertilizer and chemicals, estimation, scale drawings, sales including discount and markup, construction as related to landscape, and estimates and bids on landscaping projects. (3 lecture hours)

MATH 1108
Perspectives of Mathematics
3 credit hoursThe course surveys some of the major ideas of mathematics and relationships to the arts, life sciences, physical sciences, social sciences, games, etc. Topics are selected from number systems, inductive and deductive reasoning, algebraic processes and methods, geometry, probability and statistics. Prerequisite: Demonstrated geometry competency (level 2), and Mathematics 0481 or college equivalent with a grade of C or better or a qualifying score on the mathematics placement test (3 lecture hours)

MATH 1115
Technical Mathematics I
3 credit hoursFor technical/occupational programs. Emphasizes problemsolving skills using elementary algebra, right angle trigonometry, and ratio and proportion. Prerequisite: Mathematics 0481 or college equivalent with a grade of C or better or a qualifying score on the mathematics placement test (3 lecture hours)

MATH 1116
Technical Mathematics II
5 credit hoursA continuation of Technical Mathematics I emphasizing problem solvingskills using trigonometry, common logarithms and natural logarithms. Prerequisite: Mathematics 1115 with a grade of C or better (5 lecture hours)

MATH 1120
Mathematical Foundations for Diagnostic
3 credit hoursDesigned for Diagnostic Medical Imaging Sonography (DMIS) majors only. Mathematical applications and problem solving in the field of sonography are emphasized. Topics include systems of measurement, dimensional analysis, application of formulas, probability, and statistics. Prerequisite: Mathematics 0482 (or college equivalent) with a grade of C or better or a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (3 lecture hours)

MATH 1218 (IAI M1 904)
General Education Mathematics
3 credit hoursDesigned to fulfill general education requirements and not designed as a prerequisite for any other college mathematics course. Focuses on mathematical reasoning and the solving of reallife problems, rather than routine skills. Logic and set theory are studied. Two other topics from the following list are to be studied in depth: counting techniques and probability, game theory, geometry, graph theory, statistics, and mathematics of finance. The regular use of calculators and/or computers are emphasized. Prerequisite: Demonstrated geometry competency (level 2), and Mathematics 0465 or Mathematics 0482 or college equivalent with a grade or C or better or a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (3 lecture hours)

MATH 1220 (IAI M1 901)
Quantitative Literacy
3 credit hoursDesigned to fulfill general education requirements, and not designed as a prerequisite for any other college mathematics course. Provides the basic numeracy needed by a college graduate to reason about quantities, their magnitudes, and their relationships between and among other quantities. Topics include linear systems, linear programming, analysis and interpretation of graphs, logic and reasoning, descriptive statistics, the normal distribution, statistical inference, estimation and approximation. Prerequisite: Demonstrated geometry competency (level 2), and Mathematics 0465 or Mathematics 0482 or college equivalent with a grade of C or better or a qualifying score on the mathematics placement test (3 lecture hours)

MATH 1321
Math for Elementary School Teacher I
4 credit hoursDesigned for elementary education majors. Sets, logic and mathematical reasoning, problem solving, numeration systems, and elementary number theory. Properties, algorithms and computation with the sets of whole numbers, integers, rational and real numbers. One of the requirements for receiving credit in the course is an arithmetic proficiency test that must be passed with a score of at least 80 percent correct. Prerequisite: Demonstrated geometry competency (level 1), and Mathematics 0482 or college equivalent with a grade or C or better or a qualifying score on the mathematics placement test (4 lecture hours)

MATH 1322 (IAI M1 903)
Math for Elementary School Teacher II
3 credit hoursA continuation of Mathematics 1321. Designed for elementary education majors. Introduction to probability and statistics, measurement, geometric constructions, coordinate geometry and geometric transformations. Prerequisite: Mathematics 1321 or college equivalent with a grade of C or better and demonstrated geometry competency (level 1) (3 lecture hours)

MATH 1340
History of Mathematics
3 credit hoursThe historical development of mathematics and certain mathematical concepts from ancient times to the present, with emphasis given to basic and intermediate mathematics concepts. The focus of this mathematicsdriven course will be on the problems mathematicians have faced, and the theory and methodology that were developed to resolve these problems. Prerequisite: Mathematics 1218 or college equivalent with a grade of C or better (3 lecture hours)

MATH 1428
College Algebra With Applications
3 credit hoursThe study of algebra with emphasis on applications. This course should not be taken by students planning to enroll in calculus. Topics include, but are not limited to, matrices, functions, conic sections, polynomials, exponential and logarithmic functions, and sequences and series. Prerequisite: Demonstrated geometry competency (level 2), and Mathematics 0482 or college equivalent with a grade or C or better or a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (3 lecture hours)

MATH 1431
Precalculus I
5 credit hoursA formal study of algebra with emphasis on concepts needed for calculus. Topics include, but are not limited to, functions, conic sections, matrices and determinants, polynomial theory, rational functions, sequences and series, logarithmic and exponential functions, combinatorial mathematics, and mathematical induction. Prerequisite: Demonstrated geometry competency (level 2), and Mathematics 0482 or college equivalent with a grade or C or better or a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (5 lecture hours)

MATH 1432
Precalculus II/Trigonometry
3 credit hoursA formal study of trigonometry with emphasis on concepts needed for calculus. Topics include, but are not limited to, formal definition of trigonometric functions and circular functions, radian measure, inverse trigonometric functions, graphs of trigonometric functions and inverse trigonometric functions, trigonometric identities, trigonometric equations, DeMoivre's theorem, solution of triangles, polar coordinates and applications. Prerequisite: Mathematics 1431 or college equivalent with a grade of C or better or a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (3 lecture hours)

MATH 1533 (IAI M1 906)
Finite Mathematics
4 credit hoursDesigned primarily for students planning to major in business, or the behavioral, social or biological sciences. Topics include sets, counting techniques, probability, modeling, systems of linear equations and inequalities, matrix algebra, linear programming, Markov chains and game theory. Applications are presented from business and the above sciences. Prerequisite: Mathematics 1428 or college equivalent with a grade of C or better or Mathematics 1431 or college equivalent with a grade of C or better or a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (4 lecture hours)

MATH 1635 (IAI M1 902/CS 915)
Statistics
4 credit hoursElementary statistics: elements of descriptive and inferential statistics. Communication with data descriptions and graphs. Probability principles and their use in developing probability distributions. Binomial, normal, studentt, chisquare and F distributions. Hypothesis testing, estimation, contingency tables, linear regression and correlation, and oneway ANOVA. Prerequisite: Mathematics 1428 or college equivalent with a grade of C or better or Mathematics 1431 or college equivalent with a grade of C or better or Mathematics 1533 or college equivalent with a grade of C or better or a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (4 lecture hours)

MATH 1820
Selected Topics I
1 to 3 credit hoursIntroductory exploration and analysis of selected mathematics topics with a specific theme indicated by course title listed in college course schedule. May be taken three times for credit as long as different topics are selected. Prerequisite: Consent of instructor is required. The precise prerequisites will vary according to the specific mathematical selected topic. (1 to 3 lecture hours)

MATH 1840
Independent Study
1 to 4 credit hoursExploration and analysis of topics within Mathematics to meet individual studentdefined course description, goals, objectives, topical outline and methods of evaluation in coordination with and approved by the instructor. This course may be taken four times for credit as long as different topics are selected. Prerequisite: Consent of instructor is required (1 to 4 lecture hours)

MATH 2115 (IAI M1 905/CS 915)
Discrete Mathematics
3 credit hoursAn introduction to the formal study of discrete structures in mathematics. Topics include set theory, combinatorial mathematics, logic, graph theory, Boolean algebra, formal languages. Prerequisite: Mathematics 1428 or college equivalent with a grade of C or better or Mathematics 1431 or college equivalent with a grade of C or better or Mathematics 1533 or college equivalent with a grade of C or better or a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (3 lecture hours)

MATH 2134 (IAI M1 900B)
Calculus for Business and Social Science
4 credit hoursDesigned primarily for students planning to major in business, or behavioral, social or biological sciences. The basic concepts of differential and integral calculus are taught with emphasis on a wide variety of applications. Prerequisite: Mathematics 1431 or college equivalent with a grade of C or better or a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (4 lecture hours)

MATH 2231 (IAI M1 9001/MTH901)
Calculus and Analytic Geometry I
5 credit hoursLines, circles, functions, limits, continuity, the derivative, rules for differentiation of algebraic, trigonometric, and the transcendental functions, related rates, mean value theorem, optimization and curve sketching, differentials, Newton's method, antiderivatives and integration, and the fundamental theorem of calculus. Prerequisite: Mathematics 1431 or college equivalent with a grade of C or better and Mathematics 1432 or college equivalent with a grade of C or better or a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (5 lecture hours)

MATH 2232 (IAI M1 9002/MTH902)
Calculus and Analytic Geometry II
5 credit hoursApplications of the definite integral, techniques of integration, indeterminate forms, improper integrals, sequences and series, Taylor and Maclaurin expansions, power series, conics, parametric equations, polar coordinates, introduction to vectors, and operations on vectors. Prerequisite: Mathematics 2231 with a grade of C or better (5 lecture hours)

MATH 2233 (IAI M1 9003/MTH903)
Calculus and Analytic Geometry III
4 credit hoursGeometry of space, cylindrical and spherical coordinate systems, vector functions with physics applications, arc length, curvature, multivariate functions, partial derivatives, multiple integrals and their applications, vector fields and their applications, line integrals and their applications, and Green's theorem in the plane. Prerequisite: Mathematics 2232 with a grade of C or better (4 lecture hours)

MATH 2235
Additional Topics in Vector Calculus
1 credit hourAn extension of Calculus III, covering the curl of a vector field, surface integrals, Stoke's theorem, and the divergence theorem. Prerequisite: Mathematics 2233 with a grade of C or better (or college equivalent)(1 lecture hour)

MATH 2245 (IAI MTH 911)
Linear Algebra
4 credit hoursGeometric vectors and vector spaces, matrices and linear transformations, inner product spaces, eigenvalues and eigenvectors, the determinant function, and formal methods of mathematical proof. Prerequisite: Mathematics 2232 with a grade of C or better (4 lecture hours)

MATH 2270 (IAI MTH 912)
Differential Equations
4 credit hoursEquations of first order with applications, homogeneous linear equations of higher order with constant coefficients, nonhomogeneous linear equations of higher order with constant coefficients, Laplace transform methods, applications of higher order differential equations, linear equations with variable coefficients, power series solutions, systems of linear equations, and numerical solutions of first order equations. Prerequisite: Mathematics 2233 with a grade of C or better (4 lecture hours)

MATH 2300
Mathematical Proof
3 credit hoursThis course serves as a transition to upper level mathematics with a focus on writing proofs. Topics include: propositional logic, predicate logic, set theory, mathematical induction, number theory, relations and functions. Prerequisite: Mathematics 2232 with a grade of C or better (3 lecture hours)

MATH 2820
Advanced Selected Topics I
1 to 3 credit hoursAdvanced exploration and analysis of selected mathematical topics with a specific theme indicated by course title listed in college course schedule. May be taken three times for credit as long as different topics are selected. Prerequisite: Consent of instructor is required. The precise prerequisites will vary according to the specific mathematical selected topic. (1 to 3 lecture hours)

MATH 2860
Internship (Career & Technical Ed)
1 to 4 credit hoursCourse requires participation in Career and Technical Education work experience with onsite supervision. Internship learning objectives are developed by student and faculty member, with approval of employer, to provide appropriate workbased learning experiences. Credit is earned by working a minimum of 75 clock hours per semester credit hour, up to a maximum of four credits. Prerequisite: 2.0 cumulative grade point average; 12 semester credits earned in a related field of study; students work with Career Services staff to obtain approval of the internship by the Associate Dean from the academic discipline where the student is planning to earn credit.

MATH 2865
Internship Advanced (Career & Tech Ed)
1 to 4 credit hoursContinuation of Internship (Career and Technical Education). Course requires participation in Career & Technical Education work experience with onsite supervision. Internship learning objectives are developed by student and faculty member, with approval of employer, to provide appropriate workbased learning experiences. Credit is earned by working a minimum of 75 clock hours per semester credit hour, up to a maximum of four credits. Prerequisite: 2.0 cumulative grade point average; 12 semester credits earned in a related field of study; students work with Career Services staff to obtain approval of the internship by the Associate Dean from the academic discipline where the student is planning to earn credit.

MATH 2870
Internship (Transfer)
1 to 4 credit hoursCourse requires participation in work experience with onsite supervision. Internship learning objectives are developed by student and faculty member, with approval of employer, to provide appropriate workbased learning experiences. Credit is earned by working a minimum of 75 clock hours per semester credit hour, up to a maximum of four credits. Prerequisite: 2.0 cumulative grade point average; 12 semester credits earned in a related field of study; students work with Career Services staff to obtain approval of the internship by the Associate Dean from the academic discipline where the student is planning to earn credit.

MATH 2871
Internship  Advanced (Transfer)
1 to 4 credit hoursContinuation of Internship (Transfer). Course requires participation in work experience with onsite supervision. Internship learning objectives are developed by student and faculty member, with approval of employer, to provide appropriate workbased learning experiences. Credit is earned by working a minimum of 75 clock hours per semester credit hour, up to a maximum of four credits. Prerequisite: 2.0 cumulative grade point average; 12 semester credits earned in a related field of study; students work with Career Services staff to obtain approval of the internship by the Associate Dean from the academic discipline where the student is planning to earn credit.
Course Search
Quick Access
College of DuPage
425 Fawell Blvd., Glen Ellyn IL
60137 (630) 9422800
2015 College of DuPage