Undergraduate Courses offered in Mathematics

Lower Division Courses

• MATH 112: Introduction to Elementary Algebra 1 (2). MATH 112 and MATH 113 together cover the same material as MATH 114, but in two semesters. Credit not given for both MATH 112 and MATH 114. Fall semester.
• MATH 113: Elementary Algebra II (2). MATH 112 and MATH 113 together cover the same material as MATH 114, but in two semesters. Credit not given for both MATH 113 and MATH 114. Spring semesters.
• MATH 114: Intermediate Algebra (3). Radicals, exponents, first degree equations, simultaneous equations, quadratic equations, functions, graphs, logarithms, polynomials. Credit not given for both MATH 114 and any of the following: MATH 112; MATH 113. Fall, Spring.
• MATH 120: College Algebra (3). Prerequisite: Two years high school algebra, or MT- A114. Polynomials, rational functions, exponential and logarithmic functions, conic sections, systems of equations, and inequalities. Intended for students needing more preparation before taking MATH 132, MATH 141, or MATH 181. Credit not given for both MATH 120 and MATH 117. Fall, Spring and Summer.
• MATH 122: Finite Mathematics (3). Prerequisite: Two years of high school algebra, or MATH 114. Linear equations and straight lines, matrices, sets and counting, probability and statistics, the mathematics of finance, and logic. Fall and Sproing semesters.
• MATH 124 Mathematics and the Art of M.C. Escher (3) - A  freshman inquiry seminar. PREREQUISITE: Three years high school mathematics or MATH 120 College Algebra. (An understanding beyond MATH 114 is needed.) In this course we will discover how M.C. Escher created some of his artwork. The art of M.C. Escher will be used to explore such topics as: polygons, transformations, tesselations, and wallpaper patterns. Taught in a computer classroom. Fall and Spring semesters.
• MATH 125 Math Thinking in the Real World (3) - A  freshman inquiry seminar. PREREQUISITE: Three years high school mathematics or MATH 120 College Algebra. (An understanding beyond MATH 114 is needed.) In this course, aimed at students in the humanities and social sciences, we study some of the greatest idesa of mathematics that are often hidden from view in lower division courses. Topics selected from number theory, the infinite, geometry, topology, chaos and fractals, and probability. Taught in a computer classroom. Fall and Spring semesters.
• MATH 126 Statistics including Sports and Politics (3) - A  freshman inquiry seminar. PREREQUISITE: Three years high school mathematics or MATH 120 College Algebra. (An understanding beyond MATH 114 is needed.) Producing data through use of samples and experiments; organizing data through graphs and numbers that describe the distribution of a variable or the relationship bewteen two variable; probability; statistical inference including confidence intervals and tests of significance. Fall and Spring semesters.
• MATH 132: Survey of Calculus (3). Prerequisite: MATH 120 or 3.5 years of high school mathematics. Introductory differential and integral calculus, optimization and rate problems, calculus or rational, exponential and logarithmic functions. Fall, Spring and Summer semesters.
• MATH 135: Discrete Mathematics.  Prerequisite: MATH120 or equivalent. Concepts of discrete mathematics used in computer science; sets, sequences, strings, symbolic logic, proofs, mathematical induction, sums and products, number systems, algorithms, complexity, graph theory, finite state machines.
• MATH 141: Pre-Calculus (3). Prerequisite: Three and one-half years of high school of math or at least a C in MATH 120. Trigonometric functions, graphing, identities, solving triangles, inverse trigonometric functions, polar coordinates, and complex numbers, exponential and logarithmic functions and analytic geometry. Fall and Spring semester.
• MATH 142: Calculus I (4). Prerequisite: Four years of high school math or at least a C in MATH 141. Elementary functions; differentiation and integration from geometric and symbolic viewpoints; limits, continuity; applications. Fall and Spring semesters.
• MATH 143: Calculus II (4). Prerequisite: At least a C in MATH 142. Symbolic and numerical techniques of integration, indeterminate forms, infinite series, power series, Taylor series, differential equations; polar coordinates, applications. Fall and Spring semester.
• MATH  160: Computational Probability and Statistics.  Prerequisite MATH142 or MATH135, or Equivalent.  Elements of statistics: presenting data, mean, median, and mode; standard deviation; counting methods, the binomial theorem, probability, conditional probability, distributions, and hypothesis testing.
• MATH 161: Models of Geometries (3). Prerequisite: High school calculus.   A SLU inquiry seminar.  This course gives students the opportunity to explore models and properties of different kinds of geometries, such as Taxicab, Affine, Projective, Flatland, Hyperbolic, giving students a deeper and more mature perspective  of the real nature of geometry.
  
• MATH 165: Cryptology (3).  Prerequisite: 4 years of high school mathematics.   A SLU inquiry seminar.  Aimed at studnets who require a course at the level of calculus or higher and who are interested in the mathematical basis for cryptology systems.  Topics in clude permutation based codes, block cipher schemes and public key  encryption.
  
• MATH 167: Statistics and Computers (3). Prerequisite: MATH 120 or the equivalent. Introduction to analysis and hypothesis testing, distributions, campling estimation, confidence intervals; t-test analysis of variance, correlation, and regression; crosstabulations and chi-square; use of a statistical package such as SAS, the Statistical Analysis system. Spring semester.
• MATH 181: Informal Geometry (3). Prerequisite: MATH 120. An informal introduction to geometry for Education majors. Does not satisfy the Arts and Sciences requirement in mathematics. Spring semester.
• MATH 199: Honors Course in Mathematics (1-3). Offered occasionally.
• MATH 215: Computational Linear Algebra.  Prerequisites: MATH 143 or equivalent.Vectors, matrices and matrix operations, determinants, systems of linear equations, Gaussian elimination, direct factorization, finite-precision arithmetic and round-off, condition number, iterative methods, vector and matrix norms, eigenvalues and eigenvectors, CAS package.
  
• MATH244: Calculus III (4). Prerequisite: At least a C in MATH 143. Three-dimensional analytic geometry, vector-valued functions, partial differentiation, multiple integration, and line integrals. Fall and Spring semesters.
• MATH266 Principles of Mathematics (3) PREREQUISITE: MATH 142. Introduction to the basic techniques of writing proofs and to fundamental ideas used throughout mathematics. Topics covered include formal logic, proof by contradiction, set theory, mathematical induction and recursion, relations and congruence, functions. Fall and Spring semesters.
• MATH293: Special Topics (1-4).
• MATH298: Independent Study (0-3). Prior approval of sponsoring professor and chairperson required.
• MATH299: Honors Course in Mathematics (1-3).

Upper Division Courses

• MATH 311 Linear Algebra for Engineers (3) Prerequisite: MATH 143 and knowledge of vectors. Systems of linear equations, matrices, linear programming, determinants, vector spaces, inner product spaces, eigenvalues and eigenvectors, linear transformations, and numerical methods. Credit not given for both MATH 311 and MATH 315. Spring semester.
• MATH 315: Introduction to Linear Algebra (3) Prerequisite: MATH 266, and MATH 244. Matrices, row operations with matrices, determinants, systems of linear equations, vector spaces, and linear transformations. Credit not given for both MATH 315 and MATH 311. Fall and Spring semesters.
• MATH 320: Numerical Analysis.  Prerequisite: MATH 143: Review of calculus; root finding, nonlinear systems, interpolation and approximation; numerical differentiation and integration.
• MATH 355: Differential Equations (3) Prerequisite: MATH 244. Solution of ordinary differential equations, first-order equations, higher-order linear equations, constant coefficient equations, systems of first-order equations, linear systems, equilibria of nonlinear systems, Laplace transforms. Fall and Spring semesters
• MATH 360: Combinatorics.  Prerequisites: MATH 115 or equivalent.  Advanced counting methods: permutations and combinations, generalized permutations and combinations, recurrence relations, generating functions; algorithms: graphs and digraphs, graph algorithms: minimum-cost spanning trees, shortest path, network flows; depth first and breadth-first searches; combinatorial algorithms: resource scheduling, bin-packing: algorithmic analysis and NP completeness.
  
• MATH 370: Advanced Mathematics for Engineers (3) Prerequisite: MATH 355. Vector algebra; matrix algebra; systems of linear equations; eigenvalues and eigenvectors; systems of differential equations; vector differential calculus; divergence, gradient and curl; vector integral calculus; integral theorems; Fourier series with applications to partial differential equations. Fall and Spring semesters.
• MATH 371: Vector Analysis (3) Prerequisite: MATH 244. Vector algebra, differential and integral calculus of vector functions, linear vector functions and dyadics, applications to geometry, particle and fluid mechanics, theory of vector fields. Offered occasionally.
• MATH 401: Elementary Theory of Probability (3) Prerequisite: MATH244. Counting theory; axiomatic probability, random variables, expectation, limit theorems. Applications of the theory of probability to a variety of practical problems. Credit not given for both MATH 401 and MATH 403. Fall semester.
• MATH 402: Introductory Mathematical Statistics (3). Prerequisite MATH401. Probability and random sampling; distributions of various statistics; statistical procedures, such as estimation of parameters, hypothesis testing, and simple linear regression. Credit not given for both MATH 402 and MATH 403. Spring semester.
• MATH 403. Probability and Statistics for Engineers (3) Prerequisite: MATH 244. Analyzing and producing data; probability; random variables; probability distributions; expectation; sampling distributions; confidence intervals; hypothesis testing; experimental design; regression and correlation analysis. Credit not given for both MATH 403 and either of MATH 401 or MT A 402. Fall and Spring semesters.
• MATH 405: History of Mathematics (3). Prerequisite: MATH 143. The development of several important branches of mathematics, including numeration and computation, algebra, non-Euclidean geometry, and calculus. Offered occasionally.
• MATH 411: Introduction ot Abstract Algebra (3). Prerequisite MATH 315. Elementary properties of the integers, sets and mappings, semi-groups, groups, rings, integral domains, division rings and fields. Fall semester.
• MATH 412: Linear Algebra (3). Prerequisite: MATH 411 and MATH315. Advanced linear algebra, including linear transformations and duality, elementary canonical forms, rational and Jordan forms, inner product spaces, unitary operators, normal operators and spectral theory. Spring semester.
• MATH 421: Introduction to Analysis (3) Prerequisite: MT A-315, and  MATH 244. Real number system, functions, sequences, limits, continuity, differentiation, integration and series. Fall semester.
• MATH 422: Metric Spaces (3). Prerequisite: MATH 421. Set theory, metric spaces, completeness, compactness, connected sets, category. Spring semester.
• MATH 425: Theory of Numbers (3) Prerequisite: MATH 244. Fundamental concepts in number theory, with applications to solutions of diophantine equations of the first and second degree. Offered occasionally.
• MATH 441: Foundations of Geometry (3) Prerequisite:: MATH 142. Historical background of the study of Euclidean geometry; development of two-dimensional Euclidean geometry from a selected set of postulates. Offered occasionally.
• MATH 447: Non-Euclidean Geometry (3) Prerequisite:: MATH 142. The rise and development of the non-Euclidean geometries with intensive study of plane hyperbolic geometry. Offered occasionally.
• MATH 448: Differential Geometry (3) Prerequisite:: MATH 244 or MATH254. Classical theory of smooth curves and surfaces in 3 space. Curvature and torsion of space curves, Gaussian curvature of surfaces, the Theorema Egregium of Gauss. Offered occasionally.
• MATH 451: Introduction to Complex Variables (3) Prerequisite:: MATH 244. Complex number system and its operations, limits and sequences, continuous functions and their properties, derivatives, conformal representation, curvilinear and complex integration, Cauchy integral theorems, power series and singularities. Fall semester.
• MATH  452: Complex Variables II (3). Prerequisite: MATH 451. This course is a continuation of MATH451. Topics covered include series, residues and poles, conformal mapping, integral formulas, analytic continuation, Riemann surfaces.
• MATH 455: Nonlinear Dynamics and Chaos (3) Prerequisite:: MATH 355. Bifurcation in one-dimensional flows. Two-dimensional flows, fixed points and linearization, conservative systems, index theory, limit cycles, Poincare-Bendixson theory, bifurcations. Chaos, the Lorenz equation, discrete maps, fractals, and strange attracters. Spring semester.
• MATH 457: Partial Differential Equations (3). Prerequisite:: MATH 355 Fourier series. Fourier integrals. The heat equation, Sturm-Liouville problems, the wave equation, the potential equation, problems in several dimensions. Laplace transforms, numerical methods. Fall semester.
• MATH 461: Applied Combinatorics (3). Prerequisite: MATH 244.  Basic counting formula. Generating functions. Recurrence relations. Polya enumeration.
  
• MATH 463: Graph Theory (3). Prerequisite: MATH 244. Basic definitions and concepts, undirected graphs (trees and graphs with cycles), directed graphs, and operation on graphs, Euler's formula, and surfaces. Offered occasionally.
• MATH 465: Cryptography (3) Prerequisite MATH 244. Classical cryptographic systems, public key cryptography, symmetric block ciphers, implementation issues. Related and supporting mathematical concepts and structures. Offered occasionally.
• MATH 493: Special Topics (1-4).
• MATH 495: Senior Residency (0). Required for graduating seniors.
• MATH 498: Advanced Independent Study (0-6). Prior permission of sponsoring professor and chairperson required.