College of DuPagetitlebar

Health and Sciences Division
(630) 942-2010

Program Information

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MATHEMATICS 0405
Study Skills: Math Anxiety

1 credit hour
Basic 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)


MATHEMATICS 0408
Arithmetic Whole Numbers I

0.5 credit hours
Computation 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 required. (.5 lecture hour)


MATHEMATICS 0409
Arithmetic Whole Numbers II

0.5 credit hours
Computation 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 required. (0.5 lecture hour)


MATHEMATICS 0410
Arithmetic of Whole Numbers

0.5 credit hour
Computation 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)


MATHEMATICS 0412
Arithmetic of Fractions I

0.5 credit hour
Computation skills involving addition and subtraction of fractions and mixed numbers. This course may be taken four times for credit. Prerequisite: Consent of instructor required. (0.5 lecture hour)


MATHEMATICS 0413
Arithmetic of Fractions II

0.5 credit hour
Computation skills involving multiplication and division of fractions and mixed numbers. This course may be taken four times for credit. Prerequisite: Consent of instructor required. (0.5 lecture hour)


MATHEMATICS 0415
Arithmetic of Decimals

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


MATHEMATICS 0417
Arithmetic of Percents

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


MATHEMATICS 0418
Arithmetic of Ratio/Proportion

0.5 credit hour
Computation skills involving ratio and proportion. This course may be taken four times for credit. Prerequisite: Consent of instructor required. (0.5 lecture hour)


MATHEMATICS 0420
Arithmetic: Special Topics

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


MATHEMATICS 0422
Arithmetic of Signed Numbers

0.5 credit hour
Computation 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 required. (0.5 lecture hour)


MATHEMATICS 0424
Algebra: Solving Linear Equations

0.5 credit hour
Solve linear equations algebraically. This course may be taken four times for credit. Prerequisite: Consent of instructor required. (0.5 lecture hour)


MATHEMATICS 0426
Algebra: Word Problems

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


MATHEMATICS 0428
Algebra: Exponents

0.5 credit hour
Algebraic expressions involving positive, negative and zero exponents. May be taken three times for credit. Prerequisite: Consent of instructor required. (0.5 lecture hour)


MATHEMATICS 0430
Algebra: Factoring

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


MATHEMATICS 0432
Algebra: Fractions

0.5 credit hour
Computation 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)


MATHEMATICS 0434
Algebra: Graphing

0.5 credit hour
Graph linear and quadratic equations and linear inequalities. This course may be taken four times for credit. Prerequisite: Consent of instructor required. (0.5 lecture hour)


MATHEMATICS 0436
Algebra: Systems of Linear Equations

0.5 credit hour
Solving systems of linear equations including applications by graphing, elimination and substitution. This course may be taken four times for credit..Prerequisite: Consent of instructor required. (0.5 lecture hour)


MATHEMATICS 0438
Algebra: Radicals

0.5 credit hour
Simplifying 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 required. (0.5 lecture hour)


MATHEMATICS 0440
Algebra: Quadratic Equations

0.5 credit hour
Solve quadratic equations by factoring and the quadratic formula. This course may be taken four times for credit. Prerequisite: Consent of instructor required. (0.5 lecture hour)


MATHEMATICS 0451
Essentials of Arithmetic I

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


MATHEMATICS 0452
Essentials of Arithmetic II

2 credit hours
Principles 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)


MATHEMATICS 0455
Fundamentals of Algebra

2 credit hours
Covers 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 problem-solving techniques with practical application. This course may be taken four times for credit. (2 lecture hours)


MATHEMATICS 0460
College Arithmetic

3 credit hours
Principles 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)


MATHEMATICS 0470
Elementary Plane Geometry

3 credit hours
Points 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)


MATHEMATICS 0481
Foundations for College Mathematics I

5 credit hours
Topics 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)


MATHEMATICS 0482
Foundations for College Mathematics II

5 credit hours
Topics 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)


MATHEMATICS 0485
Algebra Refresher Workshop

0.5 credit hours
Designed 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 mastery-level performance qualifications in the workshop can take a written departmental exit examination for potential placement. This course can only be taken on a pass/fail basis. Prerequisite: Consent of instructor (0.5 lecture hour)


MATHEMATICS 1100
Business Mathematics

3 credit hours
Applications 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)


MATHEMATICS 1102
Mathematics for Health Sciences

3 credit hours
Designed 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 0481 (or college equivalent) with a grade of “C” or better or a qualifying score on the mathematics placement test (3 lecture hours)


MATHEMATICS 1104
Mathematics for Horticulture

3 credit hours
Designed 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)


MATHEMATICS 1108
Perspectives of Mathematics

3 credit hours
The 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. Prerequisites: 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)


MATHEMATICS 1115
Technical Mathematics I

3 credit hours
For technical/occupational programs. Emphasizes problem-solving skills using elementary algebra, right angle trigonometry, and ratio and proportion. Prerequisite: 1. Mathematics 0481 (or college equivalent) with a grade of “C” or better or a qualifying score on the mathematics placement test (3 lecture hours)


MATHEMATICS 1116
Technical Mathematics II

5 credit hours
A continuation of Technical Mathematics I emphasizing problem solving-skills using trigonometry, common logarithms and natural logarithms. Prerequisite: Mathematics 1115 with a grade of “C” or better (5 lecture hours)


MATHEMATICS 1120
Mathematical Foundations for Diagnostic Medical Imaging Sonographers

3 credit hours
Designed 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: Consent of Diagnostic Medical Imaging Sonography Coordinator and either Math 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)


MATHEMATICS 1218 (IAI M1 904)
General Education Mathematics

3 credit hours
Designed 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 real-life 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 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)


MATHEMATICS 1220 (IAI M1 901)
Quantitative Literacy

3 credit hours
Designed 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 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)


MATHEMATICS 1321
Mathematics for Elementary School Teachers I

4 credit hours
Designed 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 of “C” or better or a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (4 lecture hours)


MATHEMATICS 1322 (IAI M1 903)
Mathematics for Elementary School Teachers II

3 credit hours
A 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)


MATHEMATICS 1340
History of Mathematics

3 credit hours
The 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 mathematics-driven 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)


MATHEMATICS 1428
College Algebra with Applications

3 credit hours
The 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 of “C” or better or a qualifying score on the mathematics placement test or a qualifying A.C.T math score (3 lecture hours)


MATHEMATICS 1431
Precalculus I

5 credit hours
A 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 of “C” or better or a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (5 lecture hours)


MATHEMATICS 1432
Precalculus II: Trigonometry

3 credit hours
A 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)


MATHEMATICS 1533 (IAI M1 906)
Finite Mathematics

4 credit hours
Designed 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)


MATHEMATICS 1635 (IAI M1 902)
Statistics

4 credit hours
Elementary statistics: elements of descriptive and inferential statistics. Communication with data descriptions and graphs. Probability principles and their use in developing probability distributions. Binomial, normal, student-t, chi-square and F distributions. Hypothesis testing, estimation, contingency tables, linear regression and correlation, and one-way 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)


MATHEMATICS 1820
Selected Topics I

1 to 3 credit hours
Introductory 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. The precise prerequisites will vary according to the specific mathematical selected topic. (1 to 3 lecture hours)


MATHEMATICS 1840
Independent Study

1 to 4 credit hours
Exploration and analysis of topics within Mathematics to meet individual student-defined course description, goals, objectives, topical outline and methods of evaluation in coordination with and approved by the instructor. May be taken three times for credit as long as different topics are selected. Prerequisite: Consent of instructor (1 to 4 lecture hours)


MATHEMATICS 2115 (IAI M1 905)
Discrete Mathematics

3 credit hours
An 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 a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (3 lecture hours)


MATHEMATICS 2134 (IAI M1 900-B)
Calculus for Business and Social Sciences

4 credit hours
Designed 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)


MATHEMATICS 2231 (IAI M1 900-1)
Calculus and Analytic Geometry I

5 credit hours
Lines, 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)


MATHEMATICS 2232 (IAI M1 900-2)
Calculus and Analytic Geometry II

5 credit hours
Applications 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)


MATHEMATICS 2233 (IAI M1 900-3)
Calculus and Analytic Geometry III

4 credit hours
Geometry 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)


MATHEMATICS 2235
Additional Topics in Vector Calculus

1 credit hour
An 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)


MATHEMATICS 2245
Linear Algebra

4 credit hours
Geometric 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)


MATHEMATICS 2270
Differential Equations

4 credit hours
Equations of first order with applications, homogeneous linear equations of higher order with constant coefficients, non-homogeneous 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)


MATHEMATICS 2300
Mathematical Proof

3 credit hours
This 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)


MATHEMATICS 2820
Advanced Selected Topics I

1 to 3 credit hours
Advanced 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. The precise prerequisites will vary according to the specific mathematical selected topic. (1 to 3 lecture hours)


MATHEMATICS 2860
Internship (Career & Technical Education)

1 to 4 credit hours
Course 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 work-based 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.


MATHEMATICS 2865
Internship - Advanced (Career & Tech Education)

1 to 4 credit hours
Continuation 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 work-based 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.


MATHEMATICS 2870
Internship (Transfer)

1 to 4 credit hours
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 work-based 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.


MATHEMATICS 2871
Internship - Advanced (Transfer)

1 to 4 credit hours
Continuation 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 work-based 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.



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