Mathematics (MATH)


For some courses, a more detailed description may be available, accessible by clicking on the course number. All course descriptions are updated periodically.

MATH 001 DEVELOPMENTAL MATHEMATICS ( 6) Arithmetic operations, ratios, proportions, percents; measurement; polynomial and rational expressions; exponents, radicals; equations, inequalities, systems of equations; graphing; applications. Students who have passed MATH 003 may not schedule this course for credit. This course may not be used to satisfy the basic minimum requirements for graduation in any baccalaureate degree program.

MATH 002 ELEMENTARY GEOMETRY WITH PROBLEM SOLVING ( 4) Geometric congruence, similarity, area, surface area, volume, introductory trigonometry; emphasis on logical reasoning skills and the solution of applied problems. This course may not be used to satisfy the basic minimum requirements for graduation in any baccalaureate degree program. Prerequisite: MATH 001 , 2 units of high school algebra or satisfactory performance on the mathematics proficiency examination

MATH 003 BASIC SKILLS ( 3) Natural numbers; integers; rational numbers; decimals; ratio, proportion; percent; graphs; applications. Students who have passed MATH 001 may not schedule this course for credit. This course may not be used to satisfy the basic minimum requirements for graduation in any baccalaureate degree program.

MATH 004, 021 GQ, AND 022 GQ form a three-semester sequence in intermediate algebra, college algebra, and analytic geometry. MATH 026 GQ is a one-semester course in plane trigonometry. Students are placed in the appropriate course depending on the results of the mathematics proficiency examinations.

MATH 004 INTERMEDIATE ALGEBRA ( 3) Algebraic expressions; linear, absolute value equations and inequalities; lines; systems of linear equations; integral exponents; polynomials; factoring. This course may not be used to satisfy the basic minimum requirements for graduation in any baccalaureate degree program. Prerequisite: basic arithmetic skills or satisfactory performance on the mathematics proficiency examination

MATH 017 (GQ) FINITE MATHEMATICS ( 3) Introduction to logic, sets, probability. Prerequisite: 2 units of high school mathematics

MATH 018 (GQ) ELEMENTARY LINEAR ALGEBRA ( 3) Linear functions; systems of equations; matrices; linear programming. Prerequisite: 2 units of high school mathematics

MATH 021 (GQ) COLLEGE ALGEBRA I ( 3) Quadratic equations; equations in quadratic form; word problems; graphing; algebraic fractions; negative and rational exponents; radicals. Prerequisite: MATH 004 or satisfactory performance on the mathematics proficiency examination

MATH 022 (GQ) COLLEGE ALGEBRA II AND ANALYTIC GEOMETRY ( 3) Relations, functions, graphs; polynomial, rational functions, graphs; word problems; nonlinear inequalities; inverse functions; exponential, logarithmic functions; conic sections; simultaneous equations. Prerequisite: MATH 021 or satisfactory performance on the mathematics proficiency examination

MATH 026 (GQ) PLANE TRIGONOMETRY ( 3) Trigonometric functions; solutions of triangles; trigonometric equations; identities. Prerequisite: MATH 021 or satisfactory performance on the mathematics proficiency examination; l unit of geometry

MATH 030 (GQ) PROBLEM SOLVING ( 3) Concepts in problem solving; reducing new problems to old ones; techniques for attacking problems; building mathematical models.

MATH 035 (GQ) GENERAL VIEW OF MATHEMATICS ( 3) Survey of mathematical thought in logic, geometry, combinatorics, and chance.

MATH 036 (GQ) INSIGHTS INTO MATHEMATICS ( 3) Examples of mathematical thought in number theory, topology, theory of symmetry, and chance. Prerequisite: one unit of algebra or MATH 004

MATH 036 (GQ) INSIGHTS INTO MATHEMATICS ( 3) Effective Date: FA2008 Examples of mathematical applications in many areas including voting theory, fair division, apportionment, and Euler and Hamilton circuits. Prerequisite: one unit of algebra or MATH 004

MATH 037 DIVERSE CULTURAL ASPECTS OF MATHEMATICS ( 3) The mathematics of the following civilizations and individuals: Egyptian, Babylonian, Islamic, Hypatia, deBreteuil, German, Agnesi, and Noether.

MATH 040 GQ covers all the topics in MATH 004, 021 GQ, 022 GQ, and 026 GQ in one semester, MATH 041 GQ covers the same topics in trigonometry and analytic geometry as MATH 040 GQ. These courses are designed to prepare students for MATH 140 GQ. Students are placed in the appropriate course depending upon the results of the mathematics proficiency examinations.

MATH 040 (GQ) ALGEBRA, TRIGONOMETRY, AND ANALYTIC GEOMETRY ( 5) Concepts of algebra; equations; inequalities; functions; graphs; polynomial and rational functions; exponential and logarithmic functions; trigonometry; analytic geometry; complex numbers. Prerequisite: satisfactory performance on the mathematics proficiency examination

MATH 041 (GQ) TRIGONOMETRY AND ANALYTIC GEOMETRY ( 3) Straight lines; circles; functions and graphs; graphs of polynomial and rational functions; exponential and logarithmic functions; trigonometry; conic sections. Prerequisite: MATH 021 or satisfactory performance on the mathematics proficiency examination

MATH 081 (GQ) TECHNICAL MATHEMATICS I ( 3) Algebraic expressions, equations, systems of equations, trigonometric functions, graphs, solution of triangles, vectors. Prerequisite: MATH 004 or satisfactory performance on the mathematics proficiency examination

MATH 082 (GQ) TECHNICAL MATHEMATICS II ( 3) Exponents, radicals, complex numbers, theory of equations, inequalities, half angle and double angle formulas, inverse trigonometric functions, exponential, logarithm, conic sections. Prerequisite: MATH 081

MATH 083 (GQ) TECHNICAL CALCULUS ( 4) Limits, derivatives of algebraic functions, implicit differentiation, related rates, applied extrema problems, curve sketching, integration, numerical integration, applications of integration, integration techniques, differential equations. Prerequisite: MATH 082

MATH 097 SPECIAL TOPICS ( 1 - 9)

MATH 110 GQ and MATH 140 GQ, 141 GQ are two sequences that discuss differential and intergral calculus. They differ in the areas where calculus is applied. The MATH 110 GQ, 111 GQ sequence includes applications from business: the engineering sciences. A student who wants to change from one sequence to another should consult with the chair of the mathematics department.

MATH 110 (GQ) TECHNIQUES OF CALCULUS I ( 4) Functions, graphs, derivatives, integrals, techniques of differentiation and integration, exponentials, improper integrals, applications. Students may take only one course for credit from MATH 110, 140, 140A, and 140B. Prerequisite: MATH 022 or satisfactory performance on the mathematics proficiency examination

MATH 111 (GQ) TECHNIQUES OF CALCULUS II ( 2) Analytic geometry, partial differentiation, maxima and minima, differential equations. Prerequisite: MATH 110

MATH 140 (GQ) CALCULUS WITH ANALYTIC GEOMETRY I ( 4) Functions, limits; analytic geometry; derivatives, differentials, applications; integrals, applications. Students may only take one course for credit from MATH 110, 140, 140A, 140B, and 140H. Prerequisite: MATH 022 , MATH 026 ; or MATH 040 or MATH 041 or satisfactory performance on the mathematics proficiency examination

MATH 140A (GQ) CALCULUS, ANALYTIC GEOMETRY, ALGEBRA, AND TRIGONOMETRY ( 6) Review of algebra and trigonometry; analytic geometry; functions; limits; derivatives, differentials, applications; integrals, applications. Students may take only one course for credit from MATH 110, 140, 140A, and 140B. Prerequisite: satisfactory performance on the mathematics proficiency examination

MATH 140B (GQ) CALCULUS AND BIOLOGY I ( 4) Functions, limits, analytic geometry; derivatives, differentials, applications from biology; integrals, applications from biology. Students may take only one course for credit from MATH 110, 140, 140A, and 140B. Prerequisite: MATH 022 , MATH 026 ; or MATH 040 or MATH 041 or satisfactory performance on mathematics proficiency examination

MATH 140E (GQ) CALCULUS WITH ENGINEERING APPLICATIONS I ( 4) Functions; limits; analytic geometry; derivatives; differentials, applications; integrals, applications. Prerequisite: MATH 022 , MATH 026 ; or MATH 040 or MATH 041 or satisfactory performance in the mathematics proficiency examination

MATH 140G (GQ) CALCULUS WITH EARTH AND MINERAL SCIENCES APPLICATIONS I ( 4) Functions, limits, analytic geometry; derivatives, differentials, applications from the earth and mineral sciences; integrals, applications from the earth and mineral sciences. Students may only take one course for credit from MATH 110, 140, 140A, 140B, 140E, and 140G. Prerequisite: MATH 022 , MATH 026 ; or MATH 040 or MATH 041 or satisfactory performance on the mathematics proficiency examination

MATH 140H (GQ) HONORS CALCULUS WITH ANALYTIC GEOMETRY I ( 4) Honors course in functions, limits; analytic geometry; derivatives, differentials, applications; integrals, applications. Students may only take one course for credit from MATH 110, 140, 140A, 140B, and 140H. Prerequisite: MATH 022 , MATH 026 ; or MATH 040 or MATH 041 or satisfactory performance on the mathematics proficiency examination

MATH 140S (GQ) CALCULUS WITH ANALYTIC GEOMETRY I ( 4) Functions, limits; analytic geometry; derivatives, differentials, applications; integrals, applications. Students may only take one course for credit from MATH 110, 140, 140A, and 140B. Prerequisite: MATH 022 , MATH 026 ; or MATH 040 or MATH 041 or satisfactory performance on the mathematics proficiency examination

MATH 141 (GQ) CALCULUS WITH ANALYTIC GEOMETRY II ( 4) Derivatives, integrals, applications; sequences and series; analytic geometry; polar coordinates. Students may take only one course for credit from MATH 141, 141B, and 141H. Prerequisite: MATH 140 , MATH 140A , MATH 140B , or MATH 140H

MATH 141B (GQ) CALCULUS AND BIOLOGY II ( 4) Derivatives, integrals, applications from biology; sequences and series; analytic geometry; polar coordinates. Students may take only one course for credit from MATH 141 and 141B. Prerequisite: MATH 140B

MATH 141E (GQ) CALCULUS WITH ENGINEERING APPLICATIONS II ( 4) Integration, applications; sequences and series; parametric equations, application. Prerequisite: MATH 140 , MATH 140A , MATH 140B , or MATH 140E

MATH 141G (GQ) CALCULUS WITH EARTH AND MINERAL SCIENCES APPLICATIONS II ( 4) Derivatives, integrals, applications from the earth and mineral sciences; sequences and series; analytic geometry; polar coordinates. Students may take only one course for credit from MATH 141, 141B, 141E, and 141G. Prerequisite: MATH 140 , MATH 140A , MATH 140B , MATH 140E , or MATH 140G

MATH 141H (GQ) HONORS CALCULUS WITH ANALYTIC GEOMETRY II ( 4) Honors course in derivatives, integrals, applications; sequences and series; analytic geometry; polar coordinates. Students may take only one course for credit from MATH 141, 141B, and 141H. Prerequisite: MATH 140 , MATH 140A , MATH 140B , or MATH 140H

MATH 142 MATHEMATICA FOR CALCULUS I ( 1) Problem solving using Mathematica in a UNIX environment. Prerequisite: MATH 022 , MATH 026 ; or MATH 040 or MATH 041 Concurrent: MATH 140

MATH 143 MATHEMATICA II ( 1) Problem solving using Mathematica in a UNIX environment. Prerequisite: MATH 140D

MATH 197 SPECIAL TOPICS ( 1 - 9)

MATH 199 (IL) FOREIGN STUDIES ( 1 -12)

MATH 200 (GQ) PROBLEM SOLVING IN MATHEMATICS ( 3) Fundamental concepts of arithmetic and geometry, including problem solving, number systems, and elementary number theory. For elementary and special education teacher certification candidates only.

MATH 210 CALCULUS WITH ENGINEERING TECHNOLOGY APPLICATIONS ( 3) Topics in calculus with an emphasis on applications in engineering technology. Prerequisite: trigonometry and an introductory course in calculus

MATH 211 INTERMEDIATE CALCULUS AND DIFFERENTIAL EQUATIONS WITH APPLICATIONS ( 3) Topics in ordinary differential equations, linear algebra, complex numbers, Eigenvalue solutions and Laplace transform methods. Prerequisite: MATH 210

MATH 220 (GQ) MATRICES ( 2) Systems of linear equations; matrix algebra; eigenvalues and eigenvectors; linear systems of differential equations. Prerequisite: MATH 110 , MATH 140 , or MATH 140H

MATH 220 (GQ) MATRICES ( 2 - 3 per semester) Effective Date: SP2009 Systems of linear equations; matrix algebra; eigenvalues and eigenvectors; linear systems of differential equations. Prerequisite: MATH 110 , MATH 140 , or MATH 140H

MATH 220H (GQ) HONORS MATRICES ( 2) Honors course in systems of linear equations; matrix algebra; eigenvalues and eigenvectors; linear systems of differential equations. Prerequisite: MATH 110 , MATH 140 , or MATH 140H

MATH 230 CALCULUS AND VECTOR ANALYSIS ( 4) Three-dimensional analytic geometry; vectors in space; partial differentiation; double and triple integrals; integral vector calculus. Students who have passed either Math 231 or 232 may not schedule Math 230 or 230H for credit. Prerequisite: MATH 141 or MATH 141H

MATH 230H HONORS CALCULUS AND VECTOR ANALYSIS ( 4) Honors course in three-dimensional analytic geometry; vectors in space; partial differentiation; double and triple integrals; integral vector calculus. Students who have passed either MATH 231 or 232 may not schedule MATH 230 or 230H for credit. Prerequisite: MATH 141 or MATH 141H

MATH 231 CALCULUS OF SEVERAL VARIABLES ( 2) Analytic geometry in space; partial differentiation and applications. Students who have passed MATH 230 or MATH 230H may not schedule this course. Prerequisite: MATH 141 or MATH 141H

MATH 231H HONORS CALCULUS OF SEVERAL VARIABLES ( 2) Honors course in analytic geometry in space; partial differentiation and applications. Students who have passed MATH 230 or MATH 230H may not schedule this course. Prerequisite: MATH 141 or MATH 141H

MATH 232 INTEGRAL VECTOR CALCULUS ( 2) Multidimensional analytic geometry, double and triple integrals; potential fields; flux; Green's, divergence and Stokes' theorems. Students who have passed MATH 230 may not schedule this course for credit. Prerequisite: MATH 231

MATH 250 ORDINARY DIFFERENTIAL EQUATIONS ( 3) First- and second-order equations; special functions; Laplace transform solutions; higher order equations. Students who have passed MATH 251 may not schedule this course for credit. Prerequisite: MATH 141

MATH 251 ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS ( 4) First- and second-order equations; special functions; Laplace transform solutions; higher order equations; Fourier series; partial differential equations. Prerequisite: MATH 141 or MATH 141H

MATH 251H HONORS ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS ( 4) Honors course in first- and second-order equations; special functions; Laplace transform solutions; higher order equations; Fourier series; partial differential equations. Prerequisite: MATH 141 or MATH 141H

MATH 277 AN INTRODUCTION TO MATHEMATICAL MODELING ( 3) In-depth treatment of case studies in application of mathematics to real world problems. Emphasis is on developing modeling skills. Prerequisite: MATH 141 , MATH 220 Concurrent: MATH 250 , MATH 251

MATH 294 RESEARCH PROJECT ( 1 -12)

MATH 296 INDEPENDENT STUDIES ( 1 -18)

MATH 297 SPECIAL TOPICS ( 1 - 9)

MATH 310 ELEMENTARY COMBINATORICS ( 3) Fundamental techniques of enumeration and construction of combinatorial structures, permutations, recurrences, inclusion-exclusion, permanents, 0, 1- matrices, Latin squares, combinatorial designs. Prerequisite: MATH 220

MATH 311M HONORS CONCEPTS OF DISCRETE MATHEMATICS ( 3) Basic methods of mathematical thinking and fundamental mathematical structures, primarily in the context of numbers, groups, and symmetries. Prerequisite: MATH 141

MATH 311W CONCEPTS OF DISCRETE MATHEMATICS ( 3 - 4 per semester) Introduction to mathematical proofs; elementary number theory and group theory. Students who have passed CSE 260 may not schedule this course for credit. Prerequisite: MATH 141

MATH 312 CONCEPTS OF REAL ANALYSIS ( 3) An introduction to rigorous analytic proofs involving properties of real numbers, continuity, differentiation, integration, and infinite sequences and series. Prerequisite: MATH 141

MATH 312H HONORS CONCEPTS OF REAL ANALYSIS ( 3) Basic methods of mathematical thinking and fundamental structures, primarily in the context of infinite sets, real numbers, and metric spaces. Prerequisite: MATH 141

MATH 315 FOUNDATIONS OF MATHEMATICS ( 3) A consideration of selected topics in the foundations of mathematics, with emphasis on development of basic meaning and concepts. Prerequisite: MATH 141

MATH 318 (STAT) ELEMENTARY PROBABILITY ( 3) Combinatorial analysis, axioms of probability, conditional probability and independence, discrete and continuous random variables, expectation, limit theorems, additional topics. Students who have passed either MATH(STAT) 414 or 418 may not schedule this course for credit. Prerequisite: MATH 141