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Mathematics (MATH)

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.
Effective: Spring 1994
 

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.
Effective: Summer 2009
Prerequisite: MATH 001 2 units of high school algebra or satisfactory performance on the mathematics FTCAP 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.
Effective: Spring 1992
 

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 FTCAP 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.
Effective: Summer 2009
Prerequisite: basic arithmetic skills or satisfactory performance on the mathematics FTCAP examination  

MATH 017 (GQ) Finite Mathematics (3) Introduction to logic, sets, probability.
Effective: Summer 1988
Prerequisite: 2 units of high school mathematics  

MATH 018 (GQ) Elementary Linear Algebra (3) Linear functions; systems of equations; matrices; linear programming.
Effective: Fall 1999
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.
Effective: Summer 2009
Prerequisite: MATH 004 or satisfactory performance on the mathematics FTCAP 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.
Effective: Summer 2009
Prerequisite: MATH 021 or satisfactory performance on the mathematics FTCAP examination  

MATH 026 (GQ) Plane Trigonometry (3) Trigonometric functions; solutions of triangles; trigonometric equations; identities.
Effective: Summer 2009
Prerequisite: MATH 021 or satisfactory performance on the mathematics FTCAP 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.
Effective: Spring 1994
 

MATH 034 (GQ) The Mathematics of Money (3) Simple interest, simple discount, compound interest, annuities, investments, retirement plans, taxes, credit cards, and mortgages.
Effective: Summer 2009
Prerequisite: one unit of algebra orMATH 004  

MATH 035 (GQ) General View of Mathematics (3) Survey of mathematical thought in logic, geometry, combinatorics, and chance.
Effective: Summer 1992
 

MATH 036 (GQ) Insights Into Mathematics (3) Examples of mathematical applications in many areas including voting theory, fair division, apportionment, and Euler and Hamilton circuits.
Effective: Fall 2008
Prerequisite: one unit of algebra orMATH 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.
Effective: Summer 1998
 

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 FTCAP 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.
Effective: Summer 2009
Prerequisite: satisfactory performance on the mathematics FTCAP 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.
Effective: Summer 2009
Prerequisite: MATH 021 or satisfactory performance on the mathematics FTCAP examination  

MATH 081 (GQ) Technical Mathematics I (3) Algebraic expressions, equations, systems of equations, trigonometric functions, graphs, solution of triangles, vectors.
Effective: Summer 2009
Prerequisite: MATH 004 or satisfactory performance on the mathematics FTCAP 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.
Effective: Summer 1995
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.
Effective: Summer 1995
Prerequisite: MATH 082  

MATH 097 Special Topics (1-9) Formal courses given infrequently to explore, in depth, a comparatively narrow subject which may be topical or of special interest.
Effective: Fall 1992
 

MATH 097A Introduction to College Algebra (4) This course provides a preparation for and an introduction to College Algebra I (MATH 21).
Effective: Spring 2010 Ending: Spring 2010 Future: Spring 2010
 

MATH 097C Introduction Algebra Problem Solving (4) Problem solving: MATH 21 (3) MATH 097C is a college level introduction to algebra combined with individualized review of basic arithmetic skills as needed. The course covers algebraic expressions; linear, absolute value equations and inequalities; lines; systems of linear equations; integral exponents; polynomials; and factoring.
Effective: Fall 2009 Ending: Fall 2009
 

MATH 097C Introduction Algebra Problem Solving (4) Problem solving: Math 021 (3) Math 097C is a college level introduction to algebra combined with individualized review of basic algebra.
Effective: Fall 2010 Ending: Fall 2010 Future: Fall 2010
 

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.
Effective: Summer 2009
Prerequisite: MATH 022 or satisfactory performance on the mathematics FTCAP examination  

MATH 111 (GQ) Techniques of Calculus II (2) Analytic geometry, partial differentiation, maxima and minima, differential equations.
Effective: Summer 1988
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.
Effective: Summer 2009
Prerequisite: MATH 022, MATH 026 ; orMATH 040 orMATH 041 or satisfactory performance on the mathematics FTCAP 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.
Effective: Summer 2009
Prerequisite: satisfactory performance on the mathematics FTCAP 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.
Effective: Summer 2009
Prerequisite: MATH 022, MATH 026 ; orMATH 040 orMATH 041 or satisfactory performance on mathematics FTCAP examination  

MATH 140E (GQ) Calculus with Engineering Applications I (4) Functions; limits; analytic geometry; derivatives; differentials, applications; integrals, applications.
Effective: Summer 2009
Prerequisite: MATH 022, MATH 026 ; orMATH 040 orMATH 041 or satisfactory performance in the mathematics FTCAP 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.
Effective: Summer 2009
Prerequisite: MATH 022, MATH 026 ; orMATH 040 orMATH 041 or satisfactory performance on the mathematics FTCAP 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.
Effective: Summer 2009
Prerequisite: MATH 022, MATH 026 ; orMATH 040 orMATH 041 or satisfactory performance on the mathematics FTCAP 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.
Effective: Summer 2009
Prerequisite: MATH 022, MATH 026 ; orMATH 040 orMATH 041 or satisfactory performance on the mathematics FTCAP 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.
Effective: Spring 1996
Prerequisite: MATH 140, MATH 140A, MATH 140B orMATH 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.
Effective: Spring 1996
Prerequisite: MATH 140B  

MATH 141E (GQ) Calculus with Engineering Applications II (4) Integration, applications; sequences and series; parametric equations, application.
Effective: Fall 2001
Prerequisite: MATH 140, MATH 140A, MATH 140B orMATH 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.
Effective: Summer 2005
Prerequisite: MATH 140, MATH 140A, MATH 140B, MATH 140E orMATH 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.
Effective: Summer 2006
Prerequisite: MATH 140, MATH 140A, MATH 140B orMATH 140H  

MATH 142 Mathematica for Calculus I (1) Problem solving using Mathematica in a UNIX environment.
Effective: Fall 2001
Prerequisite: MATH 022, MATH 026 ; orMATH 040 orMATH 041   Concurrent: MATH 140

MATH 143 Mathematica II (1) Problem solving using Mathematica in a UNIX environment.
Effective: Fall 2001
Prerequisite: MATH 140D  

MATH 197 Special Topics (1-9) Formal courses given infrequently to explore, in depth, a comparatively narrow subject which may be topical or of special interest.
Effective: Fall 1992
 

MATH 197A Problem Solving Seminar (1) Mathematical puzzles have challenged inquisitive minds for centuries. This seminar will engage those who enjoy tackling problems using various proven strategies and will help students to develop their problem solving skills.
Effective: Fall 2009 Ending: Fall 2009
 

MATH 199 (IL) Foreign Studies (1-12) Courses offered in foreign countries by individual or group instruction.
Effective: Summer 2005
 

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. A student who has passed EDMTH 444 may not take MATH 200 for credit.
Effective: Summer 2009
 

MATH 210 Calculus with Engineering Technology Applications (3) Topics in calculus with an emphasis on applications in engineering technology.
Effective: Spring 2007
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.
Effective: Spring 2007
Prerequisite: MATH 210  

MATH 220 (GQ) Matrices (2-3) Systems of linear equations; matrix algebra; eigenvalues and eigenvectors; linear systems of differential equations.
Effective: Spring 2009
Prerequisite: MATH 110, MATH 140 orMATH 140H  

MATH 220H (GQ) Honors Matrices (2) Honors course in systems of linear equations; matrix algebra; eigenvalues and eigenvectors; linear systems of differential equations.
Effective: Summer 2006
Prerequisite: MATH 110, MATH 140 orMATH 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.
Effective: Spring 1996
Prerequisite: MATH 141 orMATH 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.
Effective: Spring 2006
Prerequisite: MATH 141 orMATH 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.
Effective: Spring 1996
Prerequisite: MATH 141 orMATH 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.
Effective: Summer 2006
Prerequisite: MATH 141 orMATH 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.
Effective: Spring 1996
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.
Effective: Fall 1988
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.
Effective: Fall 1988
Prerequisite: MATH 141 orMATH 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.
Effective: Summer 2006
Prerequisite: MATH 141 orMATH 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.
Effective: Summer 2005
Prerequisite: MATH 141, MATH 220   Concurrent: MATH 250 MATH 251

MATH 294 Research Project (1-12) Supervised student activities on research projects identified on an individual or small-group basis.
Effective: Spring 1995
 

MATH 296 Independent Studies (1-18) Creative projects, including nonthesis research, which are supervised on an individual basis and which fall outside the scope of formal courses.
Effective: Fall 1983
 

MATH 297 Special Topics (1-9) Formal courses given infrequently to explore, in depth, a comparatively narrow subject which may be topical or of special interest.
Effective: Fall 1983
 

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.
Effective: Spring 1985
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.
Effective: Spring 2006
Prerequisite: MATH 141  

MATH 311W Concepts of Discrete Mathematics (3-4) Introduction to mathematical proofs; elementary number theory and group theory. Students who have passed CMPSC 360 may not schedule this course for credit.
Effective: Spring 2007
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.
Effective: Spring 1994
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.
Effective: Summer 2006
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.
Effective: Spring 2007
Prerequisite: MATH 141  

MATH 318 (STAT 318) 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.
Effective: Spring 1989
Prerequisite: MATH 141  

MATH 319 (STAT 319) Applied Statistics in Science (3) Statistical inference: principles and methods, estimation and testing hypotheses, regression and correlation analysis, analysis of variance, computer analysis. Students who have passed MATH(STAT) 415 may not schedule this course for credit.
Effective: Spring 1989
Prerequisite: MATH 318 or knowledge of basic probability  

MATH 397 Special Topics (1-9) Formal courses given infrequently to explore, in depth, a comparatively narrow subject which may be topical or of special interest.
Effective: Fall 1992
 

MATH 399 (IL) Foreign Studies (1-12) Courses offered in foreign countries by individual or group instruction.
Effective: Summer 2005
 

MATH 401 Introduction to Analysis I (3) Review of calculus, properties of real numbers, infinite series, uniform convergence, power series. Students who have passed Math. 403 may not schedule this course.
Effective: Fall 1983
Prerequisite: MATH 230 orMATH 231  

MATH 403 Classical Analysis I (3) Topology of Rn, compactness, continuity of functions, uniform convergence, Arzela-Ascoli theorem in the plane, Stone-Wierstrass theorem.
Effective: Spring 1996
Prerequisite: MATH 312  

MATH 403H Classical Analysis I (3) Topology of Rn, compactness, continuity of functions, uniform convergence, Arzela-Ascoli theorem in the plane, Stone-Wierstrass theorem.
Effective: Fall 2009 Ending: Fall 2009
Prerequisite: MATH 312  

MATH 404 Classical Analysis II (3) Differentiation of functions from Rn to Rm, implicit function theorem, Riemann integration, Fubini's theorem, Fourier analysis.
Effective: Fall 1985
Prerequisite: MATH 403  

MATH 405 Advanced Calculus for Engineers and Scientists I (3) Vector calculus, linear algebra, ordinary and partial differential equatinos. Students who have passed MATH 411 or 412 may not take this course for credit.
Effective: Spring 1994
Prerequisite: MATH 231;MATH 250 orMATH 251  

MATH 406 Advanced Calculus for Engineers and Scientists II (3) Complex analytic functions, sequences and series, residues, Fourier and Laplace transforms. Students who have passed MATH 421 may not take this course for credit.
Effective: Spring 1994
Prerequisite: MATH 405  

MATH 408 Advanced Calculus (3) Differential and integral calculus of functions of several variables, line and surface integrals, infinite series, series of functions, power series.
Effective: Spring 2007
Prerequisite: MATH 141  

MATH 411 Ordinary Differential Equations (3) Linear ordinary differential equations; existence and uniqueness questions; series solutions; special functions; eigenvalue problems; Laplace transforms; additional topics and applications.
Effective: Fall 1983
Prerequisite: MATH 230 orMATH 231;MATH 250 orMATH 251  

MATH 412 Fourier Series and Partial Differential Equations (3) Orthogonal systems and Fourier series; derivation and classification of partial differential equations; eigenvalue function method and its applications; additional topics.
Effective: Spring 2009
Prerequisite: MATH 230;MATH 250 orMATH 251  

MATH 414 (STAT 414) Introduction to Probability Theory (3) Probability spaces, discrete and continuous random variables, transformations, expectations, generating functions, conditional distributions, law of large numbers, central limit theorems. Students may take only one course from MATH(STAT) 414 and 418 for credit.
Effective: Fall 2001
Prerequisite: MATH 230 orMATH 231  

MATH 415 (STAT 415) Introduction to Mathematical Statistics (3) A theoretical treatment of statistical inference, including sufficiency, estimation, testing, regression, analysis of variance, and chi-square tests.
Effective: Fall 1989
Prerequisite: MATH 414  

MATH 416 (STAT 416) Stochastic Modeling (3) Review of distribution models, probability generating functions, transforms, convolutions, Markov chains, equilibrium distributions, Poisson process, birth and death processes, estimation.
Effective: Spring 1984
Prerequisite: MATH 318 orMATH 414;MATH 230  

MATH 417 Qualitative Theory of Differential Equations (3) Linear differential equations, stability of stationary solutions, ordinary bifurcation, exchange of stability, Hopf bifurcation, stability of periodic solutions, applications.
Effective: Spring 2009
Prerequisite: MATH 220;MATH 250 orMATH 251  

MATH 418 (STAT 418) Probability (3) Fundamentals and axioms, combinatorial probability, conditional probability and independence, probability laws, random variables, expectation; Chebyshev's inequality. Students may take only one course from MATH(STAT) 414 and 418 for credit.
Effective: Fall 2001
Prerequisite: MATH 230 orMATH 231  

MATH 419 (PHYS 419) Theoretical Mechanics (3) Principles of Newtonian, Lagrangian, and Hamiltonian mechanics of particles with applications to vibrations, rotations, orbital motion, and collisions.
Effective: Spring 2007
Prerequisite: MATH 230 orMATH 231;MATH 250 orMATH 251;PHYS 212, PHYS 213 andPHYS 214  

MATH 420 Elementary Introduction to Chaotic Dynamics and Fractal Geometry (3) An introduction to the theory of fractals for undergraduates in mathematics, science, engineering, economics, and computer science.
Effective: Summer 2000
Prerequisite: MATH 140, MATH 141, MATH 220 orMATH 110, MATH 111, MATH 220  

MATH 421 Complex Analysis (3) Infinite sequences and series; algebra and geometry of complex numbers; analytic functions; integration; power series; residue calculus; conformal mapping, applications.
Effective: Summer 1993
Prerequisite: MATH 230, MATH 232 orMATH 405;MATH 401 orMATH 403  

MATH 422 Wavelets and Fourier Analysis: Theory and Applications (3) Fundamental mathematical issues of the theory of wavelets for senior undergraduate and graduate students in mathematics, engineering, physics, and computer science.
Effective: Summer 2000
Prerequisite: complete one of the following:MATH 312, MATH 401, MATH 403, MATH 405 orMATH 412  

MATH 425 Introduction to Operations Research (3) Nature of operations research, problem formulation, model construction, deriving solution from models, allocation problems, general linear allocation problem, inventory problems.
Effective: Spring 2007
Prerequisite: MATH 141  

MATH 426 Introduction to Modern Geometry (3) Plane and space curves; space surfaces; curvature; intrinsic geometry of surfaces; Gauss-Bonnet theorem; covariant differentiation; tensor analysis.
Effective: Spring 1994
Prerequisite: MATH 401 orMATH 403  

MATH 427 Foundations of Geometry (3) Euclidean and various non-Euclidean geometries and their development from postulate systems. Students who have passed MATH 427 may not schedule MATH 471.
Effective: Spring 1994
Prerequisite: MATH 230 orMATH 231  

MATH 428 Geometry for Teachers (1) Research in mathematics education using ideas from Euclidean and non-Euclidean geometry. Students who have passed MATH 471 may not schedule MTHBD 478.
Effective: Spring 2007
Prerequisite: MATH 311W . Prerequisite or concurrent:MATH 427  

MATH 429 Introduction to Topology (3) Metric spaces, topological spaces, separation axioms, product spaces, identificaiton spaces, compactness, connectedness, fundamental group.
Effective: Spring 1994
Prerequisite: MATH 311W  

MATH 430 Linear Algebra and Discrete Models I (3) Vector spaces, linear transformations, matrices determinants, characteristic values, and vectors, systems of linear equations, applications to discrete models.
Effective: Spring 2007 Ending: Fall 2009
Prerequisite: MATH 141  

MATH 430 Linear Algebra and Discrete Models I (3) Vector spaces, linear transformations, matrices determinants, characteristic values and vectors, systems of linear equations, applications to discrete models.
Effective: Spring 2010 Future: Spring 2010
Prerequisite: MATH 220  

MATH 431 Linear Algebra and Discrete Models II (3) Vector spaces and linear transformations, matrices, determinants, characteristics values and vectors, systems of linear equations, applications to discrete models.
Effective: Spring 2007
Prerequisite: MATH 430  

MATH 435 Basic Abstract Algebra (3) Elementary theory of groups, rings, and fields. Students who have passed MATH 435 may not schedule MATH 470.
Effective: Fall 1983
Prerequisite: MATH 311W  

MATH 435 Basic Abstract Algebra (3) Elementary theory of groups, rings, and fields. Students who have passed MATH 435 may not schedule MATH 470.
Effective: Spring 2010 Future: Spring 2010
Prerequisite: MATH 311W orMATH 315  

MATH 436 Linear Algebra (3) Vector spaces and linear transformations, canonical forms of matrices, elementary divisors, invariant factors; applications. Students who have passed MATH 436 may not schedule MATH 441.
Effective: Fall 1983
Prerequisite: MATH 311W  

MATH 437 Algebraic Geometry (3) Study of curves in the plane defined by polynomial equations p(x,y)= 0. Projective equivalence, singular points, classification of cubics.
Effective: Spring 2009
Prerequisite: MATH 230 orMATH 231;MATH 311W  

MATH 441 Matrix Algebra (3) Determinants, matrices, linear equations, characteristic roots, quadratic forms, vector spaces. Students who have passed Math 436 may not schedule this course.
Effective: Fall 1985
Prerequisite: MATH 220  

MATH 444 Mathematical Statistics and Applications I (3) Distributions of random variables, special distributions, limiting distributions, sampling, statistical inference, point and interval estimation, orthogonal polynomials, and least squares.
Effective: Spring 2007
Prerequisite: MATH 141  

MATH 445 Mathematical Statistics and Applications II (3) Further topics in point estimation, statistical hypotheses, other statistical tests, nonparametric methods.
Effective: Spring 2007
Prerequisite: MATH 444  

MATH 446 Introduction to Applied Statistics I (3) Descriptive statistics, probability theory, discrete and continuous probability distributions, statistical inferences for means and proportions.
Effective: Spring 2007
Prerequisite: MATH 022 orMATH 040  

MATH 447 Introduction to Applied Statistics II (3) Regression, correlation, analysis of variance, contingency tables, nonparametric methods, time series, index numbers.
Effective: Spring 2007
 

MATH 448 Sampling Methods and Practice and Experimental Design (3) An introduction to the procedures and techniques of statistical sampling methods and experimental design.
Effective: Spring 2007
Prerequisite: MATH 444, MATH 445  

MATH 449 Applied Ordinary Differential Equations (3) Differential and difference equations and their application to biology, chemistry, and physics; techniques in dynamical systems theory.
Effective: Spring 2007
Prerequisite: MATH 250 orMATH 251  

MATH 450 Mathematical Modeling (3) Constructing mathematical models of physical phenomena; topics include pendulum motion, polymer fluids, chemical reactions, waves, flight, and chaos.
Effective: Spring 2007
Prerequisite: MATH 315 andMATH 430 orMATH 405 orMATH 412  

MATH 451 (CMPSC 451) Numerical Computations (3) Algorithms for interpolation, approximation, integration, nonlinear equations, linear systems, fast FOURIER transform, and differential equations emphasizing computational properties and implementation. Students may take only one course for credit from MATH 451 and 455.
Effective: Spring 2008
Prerequisite: 3 credits of programming;MATH 230 orMATH 231  

MATH 455 (CMPSC 455) Introduction to Numerical Analysis I (3) Floating point computation, numerical rootfinding, interpolation, numerical quadrature, direct methods for linear systems. Students may take only one course for credit from MATH 451 and MATH 455.
Effective: Spring 2008
Prerequisite: CMPSC 201, CMPSC 202 orCMPSC 121;MATH 220;MATH 230 orMATH 231  

MATH 456 (CMPSC 456) Introduction to Numerical Analysis II (3) Polynomial and piecewise polynomial approximation, matrix least squares problems, numerical solution of eigenvalue problems, numerical solution of ordinary differential equations.
Effective: Spring 2008
Prerequisite: MATH 455  

MATH 457 Introduction to Mathematical Logic (3) Propositional logic, first-order predicate logic, axioms and rules of inference, structures, models, definability, completeness, compactness.
Effective: Fall 1983
Prerequisite: MATH 311W orPHIL 212 ; 3 additional credits in philosophy  

MATH 459 Computability and Unsolvability (3) An introduction to the theory of recursive functions; solvable and unsolvable decision problems; applications.
Effective: Fall 1983
Prerequisite: MATH 311W  

MATH 461 (PHYS 461) Theoretical Mechanics (3) Continuation of Math.(Phys.) 419. Theoretical treatment of dynamics of a rigid body, theory of elasticity, aggregates of particles, wave motion, mechanics of fluids.
Effective: Fall 1986
Prerequisite: MATH 419  

MATH 465 Number Theory (3) Elements, divisibility of numbers, congruences, residues, and forms.
Effective: Spring 2009
Prerequisite: MATH 311W  

MATH 467 (CMPSC 467) Factorization and Primality Testing (3) Prime sieves, factoring, computer numeration systems, congruences, multiplicative functions, primitive roots, cryptography, quadratic residues. Students who have passed MATH 465 may not schedule this course.
Effective: Spring 1995
Prerequisite: MATH 311W  

MATH 468 Mathematical Coding Theory (3) Shannon's theorem, block codes, linear codes, Hamming codes, Hadamard codes, Golay codes, Reed-Muller codes, bounds on codes, cyclic codes.
Effective: Fall 1983
Prerequisite: MATH 311W ; advanced calculus  

MATH 469 Mathematics of Algorithms (3) Binomial identities; recurrence relations, operator methods; asymptotic methods.
Effective: Fall 1983
Prerequisite: advanced calculus  

MATH 470 Algebra for Teachers (3) An introduction to algebraic structures and to the axiomatic approach, including the elements of linear algebra. Designed for teachers and prospective teachers. Students who have passed Math 435 may not schedule this course.
Effective: Fall 1988
Prerequisite: MATH 311W  

MATH 471 Geometry for Teachers (4) Problem solving oriented introduction to Euclidean and non-Euclidean geometries; construction problems and geometrical transformations via "Geometer's Sketchpad" software. Intended primarily for those seeking teacher certification in secondary mathematics. Students who have passed MATH 427 may not schedule this course.
Effective: Spring 1996
Prerequisite: MATH 311W  

MATH 475 Introduction to the History of Mathematics (3) A global survey of the history of mathematics as viewed as a human response to cultural, political, economic, and societal pressures.
Effective: Spring 2007 Ending: Fall 2009
Prerequisite: CMATH 221 orMATH 141  

MATH 475 (US;IL) Introduction to the History of Mathematics (3) A global survey of the history of mathematics as viewed as a human response to cultural, political, economic, and societal pressures.
Effective: Spring 2010 Future: Spring 2010
Prerequisite: CMATH 221 orMATH 141  

MATH 475W Introduction to the History of Mathematics (3) A global survey of the history of mathematics as viewed as a human response to cultural, political, economic, and societal pressures.
Effective: Spring 2007 Ending: Fall 2009
Prerequisite: MATH 141  

MATH 475W (US;IL) History of Mathematics (3) A global survey of the history of mathematics as viewed as a human response to cultural, political, economic, and societal pressures.
Effective: Spring 2010 Future: Spring 2010
Prerequisite: MATH 141  

MATH 479 (PHYS 479) Special and General Relativity (3) Mathematical description, physical concepts, and experimental tests of special and general relativity.
Effective: Spring 2007
Prerequisite: PHYS 237, PHYS 400, PHYS 419;MATH 250 orMATH 251;MATH 230 orMATH 231  

MATH 480 Compound Interest and Annuities--Certain (3) A study of compound interest and annuity functions; equations of value; determination of yield rates; construction of tables.
Effective: Spring 2007 Ending: Fall 2009
Prerequisite: MATH 141  

MATH 481 Life Contingencies I (3) A study of the mathematical theory of life contingencies; single-life functions and their applications.
Effective: Spring 2007
Prerequisite: MATH 444, MATH 445, MATH 480  

MATH 482 Mathematical Methods of Operations Research (3) Survey of linear and nonlinear programming; mathematics of optimization; queues; simulation.
Effective: Spring 2007
Prerequisite: MATH 220, MATH 230, STAT 301  

MATH 483 Applied Modern Algebra II (3) Semigroups, groups, permutation groups, machines, Polya enumeration theory, switching functions, de Bruijn's theorem, fast adders.
Effective: Fall 1986
Prerequisite: MATH 311W  

MATH 484 Linear Programs and Related Problems (3) Introduction to theory and applications of linear programming; the simplex algorithm and newer methods of solution; duality theory.
Effective: Spring 1987
Prerequisite: MATH 220;MATH 230 orMATH 231  

MATH 485 Graph Theory (3) Introduction to the theory and applications of graphs and directed graphs. Emphasis on the fundamental theorems and their proofs.
Effective: Spring 1987
Prerequisite: MATH 311W  

MATH 486 Mathematical Theory of Games (3) Basic theorems, concepts, and methods in the mathematical study of games of strategy; determination of optimal play when possible.
Effective: Spring 2006
Prerequisite: MATH 220  

MATH 493 Mathematics Recitation Instructor Training (1 per semester/maximum of 3) Instruction and practice in the role of recitation instructor.
Effective: Fall 1983
Prerequisite: 18 credits in mathematics  

MATH 494 Research Project (1-12) Supervised student activities on research projects identified on an individual or small-group basis.
Effective: Spring 1995
 

MATH 494H Research Project (1-12) Supervised student activities on research projects identified on an individual or small-group basis.
Effective: Fall 2007
 

MATH 495 Internship (1-18) Supervised off-campus, nongroup instruction including field experiences, practica, or internships. Written and oral critique of activity required.
Effective: Spring 2007
Prerequisite: prior approval of proposed assignment by instructor  

MATH 496 Independent Studies (1-18) Creative projects, including research and design, which are supervised on an individual basis and which fall outside the scope of formal courses.
Effective: Fall 1983
 

MATH 497 Special Topics (1-9) Formal courses given infrequently to explore, in depth, a comparatively narow subject which may be topical or of special interest.
Effective: Fall 1983
 

MATH 497A Groups and Their Connections to Geometry (4) Formal courses given infrequently to explore, in depth, a comparatively narow subject which may be topical or of special interest.
Effective: Fall 2009 Ending: Fall 2009
 

MATH 497A Function Field Arithmetic (4) Formal courses given infrequently to explore, in depth, a comparatively narow subject which may be topical or of special interest.
Effective: Fall 2010 Ending: Fall 2010 Future: Fall 2010
 

MATH 497B Complex Analysis from a Fluid Dynamics Perspective (4) Formal courses given infrequently to explore, in depth, a comparatively narow subject which may be topical or of special interest.
Effective: Fall 2009 Ending: Fall 2009
 

MATH 497B Differential Equations from an Algebraic Perspective (4) Formal courses given infrequently to explore, in depth, a comparatively narow subject which may be topical or of special interest.
Effective: Fall 2010 Ending: Fall 2010 Future: Fall 2010
 

MATH 497C Explorations in Convexity (4) Formal courses given infrequently to explore, in depth, a comparatively narow subject which may be topical or of special interest.
Effective: Fall 2009 Ending: Fall 2009
 

MATH 497C Dynamics, Mechanics and Geometry (4) Formal courses given infrequently to explore, in depth, a comparatively narow subject which may be topical or of special interest.
Effective: Fall 2010 Ending: Fall 2010 Future: Fall 2010
 

MATH 497D MASS Interdisciplinary Seminar (3) Formal courses given infrequently to explore, in depth, a comparatively narow subject which may be topical or of special interest.
Effective: Fall 2009 Ending: Fall 2009
 

MATH 497D MASS Interdisciplinary Seminar (3) Formal courses given infrequently to explore, in depth, a comparatively narow subject which may be topical or of special interest.
Effective: Fall 2010 Ending: Fall 2010 Future: Fall 2010
 

MATH 497E MASS Colloquium (1) Formal courses given infrequently to explore, in depth, a comparatively narow subject which may be topical or of special interest.
Effective: Fall 2009 Ending: Fall 2009
 

MATH 497E MASS Colloquium (1) Formal courses given infrequently to explore, in depth, a comparatively narow subject which may be topical or of special interest.
Effective: Fall 2010 Ending: Fall 2010 Future: Fall 2010
 

MATH 497G (BIOL 497G) Modeling in Medicine and Biology (3) A study of computational, mathematical, and statistical models used in biological sciences and medicine, including both historical and contemporary examples.
Effective: Fall 2009 Ending: Fall 2009
 

MATH 498 Special Topics (1-9) Formal courses given infrequently to explore, in depth, a comparatively narrow subject which may be topical or of special interest.
Effective: Fall 1992
 

MATH 499 (IL) Foreign Studies (1-12) Courses offered in foreign countries by individual or group instruction.
Effective: Summer 2005
 

NOTE: Courses in computer science and statistics are listed separately.

Last Import from UCM: November 21, 2009 3:00 AM