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University Bulletin

Undergraduate Degree Programs

B.A. Degree Requirements: Quantification

137 Courses

CMPSC 101 (GQ)
Introduction to C++ Programming (3) Properties of algorithms, languages, and notations for describing algorithms, applications of a procedure-oriented language to problem solving. A student may receive credit for only one of the following courses: CMPSC 101, 200, 201, 202, 121.
Effective: Fall 2010
Prerequisite: 2 entrance units in mathematics

CMPSC 121 (GQ)
Introduction to Programming Techniques (3) Design and implementation of algorithms. Structured programming. Problem solving techniques. Introduction to a high-level language, including arrays, procedures, and recursion.
Effective: Fall 2010
Prerequisite: MATH 110 or prerequisite or concurrent MATH 140

CMPSC 201 (GQ)
Programming for Engineers with C++ (3) Development and implementation of algorithms in a procedure-oriented language, with emphasis on numerical methods for engineering problems. A student may receive credit for only one of the following courses: CMPSC 101, 102, 200, 201, or 202.
Effective: Spring 2008
Prerequisite: MATH 140

CMPSC 202 (GQ)
Programming for Engineers with FORTRAN (3) Development and implementation of algorithms in a procedure-oriented language, with emphasis on numerical methods for engineering problems. A student may receive credit for only one of the following courses: CMPSC 101, 102, 200, 201, or 202.
Effective: Spring 2008
Prerequisite: MATH 140

CMPSC 203 (GQ)
Introduction to Spreadsheets and Databases (4) Design, use, and programming of spreadsheets and data bases with applications from a range of disciplines.
Effective: Spring 2008
Prerequisite: 2 entrance units in mathematics

EDPSY 101 (GQ)
Analysis and Interpretation of Statistical Data in Education (3) An introduction to quantitative methods in educational research emphasizing the interpretation of frequently encountered statistical procedures.
Effective: Summer 2011

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 2013
Prerequisite: MATH 004 or satisfactory performance on the mathematics placement 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 2013
Prerequisite: MATH 021 or satisfactory performance on the mathematics placement examination

MATH 026 (GQ)
Plane Trigonometry (3) Trigonometric functions; solutions of triangles; trigonometric equations; identities.
Effective: Summer 2013
Prerequisite: MATH 021 or satisfactory performance on the mathematics placement 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 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 or MATH 004

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 placement 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 2013
Prerequisite: satisfactory performance on the mathematics placement examination

MATH 041 (GQ)
Trigonometry and Analytic Geometry (3-4) Straight lines; circles; functions and graphs; graphs of polynomial and rational functions; exponential and logarithmic functions; trigonometry; conic sections.
Effective: Summer 2013
Prerequisite: MATH 021 or satisfactory performance on the mathematics placement examination

MATH 081 (GQ)
Technical Mathematics I (3) Algebraic expressions, equations, systems of equations, trigonometric functions, graphs, solution of triangles, vectors.
Effective: Summer 2013
Prerequisite: MATH 004 or satisfactory performance on the mathematics placement 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
Math Tutorial (1) Course designed to help students develop study skills and a strong foundation, in basic mathematics and to further their intellectual independence in MATH 021, 022, 026, 040, and 140.
Effective: Fall 2014 Ending: Fall 2014

MATH 097C
Introduction Algebra Problem Solving (4) Introduction Algebra Problem Solving is a college level introduction to algebra combined with individualized review of basic algebra.
Effective: Fall 2014 Ending: Fall 2014
Prerequisite: MATH 021

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 2013
Prerequisite: MATH 022 or satisfactory performance on the mathematics placement 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 2013
Prerequisite: MATH 022 MATH 026 ; or MATH 040 or MATH 041 or satisfactory performance on the mathematics placement 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 2013
Prerequisite: satisfactory performance on the mathematics placement 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 2013
Prerequisite: MATH 022 MATH 026 ; or MATH 040 or MATH 041 or satisfactory performance on mathematics placement examination

MATH 140E (GQ)
Calculus with Engineering Applications I (4) Functions; limits; analytic geometry; derivatives; differentials, applications; integrals, applications.
Effective: Summer 2013
Prerequisite: MATH 022 MATH 026 ; or MATH 040 or MATH 041 or satisfactory performance in the mathematics placement 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 2013
Prerequisite: MATH 022 MATH 026 ; or MATH 040 or MATH 041 or satisfactory performance on the mathematics placement 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 2013
Prerequisite: MATH 022 MATH 026 ; or MATH 040 or MATH 041 or satisfactory performance on the mathematics placement 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 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.
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 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.
Effective: Summer 2005
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.
Effective: Summer 2006
Prerequisite: MATH 140 MATH 140A MATH 140B or MATH 140H

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 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 (GQ)
Calculus with Engineering Technology Applications (3) Topics in calculus with an emphasis on applications in engineering technology.
Effective: Spring 2013
Prerequisite: trigonometry and an introductory course in calculus

MATH 211 (GQ)
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 2013
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 or MATH 140H

MATH 220H (GQ)
Honors Matrices (2-3) Honors course in systems of linear equations; matrix algebra; eigenvalues and eigenvectors; linear systems of differential equations.
Effective: Spring 2009
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.
Effective: Spring 1996
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.
Effective: Spring 2006
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.
Effective: Spring 1996
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.
Effective: Summer 2006
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.
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 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.
Effective: Summer 2006
Prerequisite: MATH 141 or MATH 141H

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 310A
Concepts in Combinatorics - Recitation (1) Recitation for MATH 310H - Concepts in Combinatorics.
Effective: Spring 2013
Prerequisite: MATH 220

MATH 310H
Honors Concepts of Combinatorics (3) Honors version of elementary and enumerative combinatorics.
Effective: Spring 2012
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 312A
Honors Concepts of Real Analysis - Recitation (1) A recitation component to MATH 312H, practice in problem solving.
Effective: Fall 2012
Prerequisite: MATH 140H MATH 311M

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 or MATH 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
Honors Classical Analysis I (3) Development of a thorough understanding and technical mastery of foundations of classical analysis in the framework of metric spaces.
Effective: Spring 2010
Prerequisite: MATH 311M MATH 312H

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 or MATH 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 or MATH 231 ; MATH 250 or MATH 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 or MATH 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 or MATH 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 or MATH 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 or MATH 251

MATH 418 (STAT 418)
Introduction to Probability and Stochastic Processes for Engineering (3) Introduction to probability axioms, combinatorics, random variables, limit laws, and stochastic processes. Students may take only one course from MATH(STAT) 414 and 418 for credit.
Effective: Fall 2011
Prerequisite: MATH 230 or MATH 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 or MATH 231 ; MATH 250 or MATH 251 ; PHYS 212 PHYS 213 and PHYS 214

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 or MATH 405 ; MATH 401 or MATH 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 or MATH 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 2012
Prerequisite: MATH 141 and MATH 220

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 or MATH 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 or MATH 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 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: Spring 2010
Prerequisite: MATH 311W or MATH 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 or MATH 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 or MATH 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 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 or MATH 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 and MATH 430 or MATH 405 or MATH 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 or MATH 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 or CMPSC 121 ; MATH 220 ; MATH 230 or MATH 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: Summer 2011
Prerequisite: MATH 311W ; 3 additional credits in philosophy

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 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 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 2012
Prerequisite: MATH 315 or MATH 311W

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 or MATH 251 ; MATH 230 or MATH 231

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 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 or MATH 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 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 496A
Concepts of Real Analysis (1-6) An introduction to rigorous analytic proofs involving properties of real numbers, continuity, differentiation, integration, and infinite sequences and series.
Effective: Fall 2014 Ending: Fall 2014
Prerequisite: MATH 141

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
Finite Fields and Applications (4) This course will consist of an introduction to the theory of finite fields. We also discuss some of the many practical applications of finite fields. These applications will include algebraic coding theory for the error-free transmission of information, and cryptology for the secure transmission of information. Finite fields are also of great use in the construction of various kinds of combinatorial designs.
Effective: Fall 2014 Ending: Fall 2014
Prerequisite: acceptance into the MASS Program

MATH 497B
An Introduction to Dynamical Systems (4) The theory of dynamical systems is a modern branch of mathematics. Its main objective is to analyze long-term behavior of systems that evolve over time. In this course, we will introduce the fundamental concepts and tools of dynamics and discuss an array of examples with gradual increase in complexity. The topics will include contractions, linear maps, differential equations, recurrence, equidistribution, hyperbolic systems, symbolic systems and coding, fractals, entropy, and chaos.
Effective: Fall 2014 Ending: Fall 2014
Prerequisite: acceptance into the MASS program

MATH 497C
Affine and Projective Geometries (4) This course is an introduction to Geometry and its goal is to descrive Geometry following Felix Klein's Erlangen program, that is an the action of the group of isometries. The emphasis is on Affine, Projective and non- Eucleadian (Lobachevsky-Poincare hyperbolic geometries).
Effective: Fall 2014 Ending: Fall 2014
Prerequisite: acceptance into the MASS program

MATH 497D
MASS Interdisciplinary Seminar (3) The seminar is designed to focus on selected interdisciplinary topics in algebra, analysis and geometry to coordinate core courses and to prepare students to MASS Colloquium.
Effective: Fall 2014 Ending: Fall 2014
Prerequisite: acceptance into the MASS Program

MATH 497E
MASS Colloquium (1) Cover selected topics in Mathematics.
Effective: Fall 2014 Ending: Fall 2014
Prerequisite: acceptance into MASS program

MATH 497G
MASS Research Project (3) Supervised student activities on research projects identified on an individual or small-group basis.
Effective: Fall 2014 Ending: Fall 2014
Prerequisite: acceptance into the MASS program

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

PHIL 012 (GQ)
Symbolic Logic (3) Formal logical structures of propositions and arguments; mechanical tests and proof techniques for logically necessary truth and deductive validity.
Effective: Fall 1998

STAT 100 (GQ)
Statistical Concepts and Reasoning (3) Introduction to the art and science of decision making in the presence of uncertainty.
Effective: Summer 1988

STAT 200 (GQ)
Elementary Statistics (4) Descriptive statistics, frequency distributions, probability, binomial and normal distributions, statistical inference, linear regression, and correlation.
Effective: Fall 2014
Prerequisite: Placement into MATH 021 or higher

STAT 200H (GQ)
Elementary Statistics (4) Descriptive statistics, frequency distributions, probability, binomial and normal distributions, statistical inference, linear regression, and correlation.
Effective: Fall 2014 Ending: Fall 2014
Prerequisite: Placement into MATH 021 or higher

STAT 240 (GQ)
Introduction to Biometry (3) Statistical analysis, sampling, and experimentation in the agricultural sciences; data collection, descriptive statistics, statistical inference, regression, one factor AOV, probability. Students may take only one course from STAT 200, 220, 240, 250 for credit.
Effective: Fall 2014
Prerequisite: Placement into MATH 021 or higher

STAT 250 (GQ)
Introduction to Biostatistics (3) Statistical analysis and interpretation of data in the biological sciences; probability; distributions; statistical inference for one- and two-sample problems.
Effective: Fall 2014
Prerequisite: Placement into MATH 021 or higher

STAT 301 (GQ)
Statistical Analysis I (3) Probability concepts; nature of statistical methods; elementary distribution and sampling theory; fundamental ideas relative to estimation and testing hypotheses.
Effective: Summer 1988
Prerequisite: 3 credits of calculus