Courses

These course descriptions are unofficial and may be out of date. Please go to the Saint Louis University course information page and follow the directions there to see the official course listings.

MATH 092 - Basic Mathematics

Prep course designed to expose students to signed Numbers: common fraction, decimals and percentages; ratio and proportion; area and volume; powers and roots; algebraic expressions and operations; linear equations; basic trig metric functions; factoring polynomials. 3.000 Credit Hours. Schl for Professional Studies College

MATH 093 - Intro Elementary Algebra

3.000 Credit Hours. Mathematics (Ps) Department

MATH 112 - Introduction to Elementary Algebra I

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. 2.000 Credit Hours.

MATH 113 - Elementary Algebra II

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. Fall and Spring semesters. Pre-requisite: Grade of : "C-" or better in Math 112. 2.000 Credit Hours.

MATH 114 - Intermediate Algebra

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 and Spring semesters. 3.000 Credit Hours.

MATH 120 - College Algebra

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. Fall, Spring and Summer. Pre-requisite: Two years of highschool mathematics or grade of "C-" or better in MATH 114. 3.000 Credit Hours.

MATH 122 - Finite Mathematics

Linear equations and straight lines, matrices, sets and counting, probability and statistics, the mathematics of finance, and logic. Fall and Spring semesters. Pre-requisite: Two years of highschool mathematics or grade of "C-" or better in MATH 114. 3.000 Credit Hours.

MATH 124 - Mathematics and the Art of M.C. Escher

A SLU freshman seminar. 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. Pre-requisite: Three years of highschool mathematics or grade of "C-" or better in MATH 120. (An understanding beyond MATH 114 is needed). 3.000 Credit Hours. 3.000 Other hours Senior Inquiry, Seminar

MATH 125 - Math Thinking in Real World

A SLU freshman seminar. In this course, aimed at students in the humanities and social sciences, we study some of the greatest ideas 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. Pre-requisite: Three years of highschool mathematics or a grade of "C-" or better in MATH 120. (An understanding beyond MATH 114 is needed.) 3.000 Credit Hours. 3.000 Other hours

MATH 126 - Statistics Including Sports and Politics

A SLU freshaman seminar. Producing data through the use of samples and experiments; organizing data through graphs and numbers that describe the distribution of the data of one variable or the relationship between two variables; probability; statistical inference including confidence intervals and tests of significance. Pre-requisite: 3.5 years of highschool mathematics or a grade of "C-" or better in MATH 120. 3.000 Credit Hours. 3.000 Other hours

MATH 130 - Elementary Stats w/ Computers

Data production and analysis; probability basics, distributions; sampling, estimation with confidence intervals, hypothesis testing, t-test; correlation and regression; crosstabulations and chi-square. Students learn to use a statistical package such as SPSS. Prerequisite: MATH-120 or equivalent. 3.000 Credit Hours. Math & Computer Science Department

MATH 132 - Survey of Calculus

Introductory differential and integral calculus, optimization and rate problems, calculus of rational, exponential and logarithmic functions, partial derivatives and applications. Fall, Spring and Summer. Pre-requisite: 3.5 years of highschool mathematics or a grade of "C-" or better in MATH 120. 3.000 Credit Hours.

MATH 135 - Discrete Mathematics

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. Pre-requisite: A grade of "C-" or better in MATH 120 or equivalent. 3.000 Credit Hours.

MATH 141 - Pre-Calculus

Trigonometric functions, graphing, identities, solving triangles, inverse trigonometric functions, polar coordinates, complex numbers, and analytic geometry. Fall and Spring semesters. Pre-requisite: 3.5 years of highschool mathematics or a grade of "C-" or better in MATH 120. 3.000 Credit Hours.

MATH 142 - Calculus I

Elementary functions; differentiation and integration from geometric and symbolic viewpoints; limits, continuity; applications. Offered Fall and Spring semesters. Pre-requisite: 4 years of highschool mathematics or a grade of "C-" or better in MATH 141. 0.000 OR 4.000 Credit Hours. 0.000 Lab hours 1818 Advanced College Credit, Undergraduate

MATH 143 - Calculus II

Symbolic and numerical techniques of integration, indeterminate forms, infinite series, power series, Taylor series, differential equations; polar coordinates, applications. Pre-requisite: A grade of "C-" or better in MATH 142. 4.000 Credit Hours. 1818 Advanced College Credit, Undergraduate

MATH 160 - Computer Prob and Stat

Elements of statistics: presenting data, mean, median, and mode; standard deviation; counting methods, the binomial theorem, probability, conditional probability, distributions, and hypothesis testing. Pre-requisite: A grade of "C-" or better in MATH 120 or MATH 142. 3.000 Credit Hours.

MATH 165 - Cryptology

A SLU freshman seminar. Aimed at students who require a course at the level of calculus or higher and who are interested in the mathematical basis for cryptology systems. Topics include premutation based codes, block cipher schemes and public key encryption. Prerequisities: 4 years of high school mathematics. 3.000 Credit Hours. France College Math & Computer Science Department

MATH 181 - Informal Geometry

An informal introduction to geometry for Education majors. Does not satisfy the Arts and Sciences requirement in mathematics. Offered occasionally. Pre-requsiste: A grade of "C-" or better in MATH 120. 3.000 Credit Hours.

MATH 199 - Honors Course in Mathematics

Offered occasionally. 1.000 TO 3.000 Credit Hours.

MATH 215 - Computational Linear Algebra

Vectors, matrices and matrix operations, determinants, systems of linear equations, Gaussian elimination, direct factorization, finite-precisoin arithmetic and round-off, condition number, iterative methods, vector and matrix norms, eigenvalues and eigenvectors, CAS package. 3.000 Credit Hours.

MATH 244 - Calculus III

Three-dimensional analytic geometry, vector-valued functions, partial differentiation, multiple integration, and line integrals. Fall and Spring semesters. Pre-requisite: A grade of "C-" or better in MATH 143. 4.000 Credit Hours.

MATH 266 - Principles of Mathematics

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. Pre-requisite: A grade of "C-" or better in MATH 142. 3.000 Credit Hours.

MATH 269 - Mathematical Problem Solving

Intended primarily to train students for the William Lowell Putnam Mathematical Competition, this course covers a mélange of ingenious techniques for solving mathematics problems cutting across the entire undergraduate spectrum, including precalculus, calculus, combinatorics, probability, inequalities. Coverage tailored to students' interests. May be repeated for credit. Fall semester. Prerequisite: None. 1.000 Credit Hours.

MATH 293 - Special Topics

1.000 TO 4.000 Credit Hours.

MATH 298 - Independent Study

Prior approval of sponsoring professor and chair required. 0.000 TO 3.000 Credit Hours. Independent Study

MATH 299 - Honors Course in Mathematics

1.000 TO 3.000 Credit Hours.

MATH 311 - Linear Algebra for Engineers

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 MATH311 and MATH315. Spring semester. Pre-requisite: A grade of "C-" or better in MATH 143 and a knowledge of vectors. 3.000 Credit Hours.

MATH 315 - Introduction to Linear Algebra

Matrices, row operations with matrices, determinants, systems of linear equations, vector spaces, linear transformations, inner products, eigenvalues and eigenvectors. Credit not given for both MATh315 and MATH 311. Fall and Spring semesters. 3.000 Credit Hours.

MATH 320 - Numerical Analysis

Review of calculus; root finding, nonlinear systems, interpolation and approximation; numerical differentiation and integration. Pre-requisite: MATH 143. 3.000 Credit Hours.

MATH 355 - Differential Equations

Solution of ordinary differential equations, higher order linear equations, constant coefficient equations, systems of first order equations, linear systems, equilibrium of nonlinear systems, Laplace transformations. Pre-requisite: MATH 244. 3.000 Credit Hours.

MATH 360 - Combinatorics

Advanced counting methods: permutations and combinations, generalized permutations and combinations, recurrance relations, generating functions; algorithms: graphs and digraphs, graph algorithms: minimum-cost spanning trees, shortest path, network flows; depth first and breadth-first searches; combinational algorithms: resource scheduling, bin-packing: algorithmic analysis and NP completeness. 3.000 Credit Hours.

MATH 370 - Advanced Mathematics for Engineers

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. Pre-requisite: MATH 355. 3.000 Credit Hours.

MATH 371 - Vector Analysis

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. Pre-requisite: MATH 244. 3.000 Credit Hours.

MATH 401 - Elementary Theory of Probability

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. Pre-requisite: MATH 244. 3.000 Credit Hours. Graduate, Undergraduate

MATH 402 - Intro Mathematical Statistics

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. 3.000 Credit Hours. Graduate, Undergraduate

MATH 403 - Probability and Statistics for Engineers

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 MATH 401 or MATH 402. Fall and Spring semesters. 3.000 Credit Hours.

MATH 405 - History of Mathematics

The development of several important branches of mathematics, including numeration and computation, algebra, non-Euclidean geometry, and calculus. Offered occasionally. Pre-requisite: MATH 143. 3.000 Credit Hours.

MATH 411 - Introduction to Abstract Algebra

Elementary properties of the integers, sets and mappings, groups, rings, integral domains, division rings and fields. Fall semester. Pre-requisite: MATH 315. 3.000 Credit Hours. Graduate, Undergraduate

MATH 412 - Linear Algebra

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. Alternate spring semesters. Pre-requisite: MATH 411. 3.000 Credit Hours. Graduate, Undergraduate

MATH 415 - Number Theory

Introduction to algebraic number theory. Topics will include primes, Chinese remainder theorem, Diophantine equations, algebraic numbers and quadratic residues. Additional topics will vary from year to year. Alternate spring semesters. Prerequisite: MATH 411. 3.000 Credit Hours. Graduate, Undergraduate

MATH 421 - Intro to Analysis

Real number system, functions, sequences, limits, continuity, differentiation, integration and series. Fall semester. Pre-requisite: MATH 244. 3.000 Credit Hours. Graduate, Undergraduate

MATH 422 - Metric Spaces

Set theory, metric spaces, completeness, compactness, connected sets, category. Spring semester. Pre-requisite: MATH 421. 3.000 Credit Hours.

MATH 423 - Multivariable Analysis

Introduction to analysis in multidimensional Euclidean space. Sequences and Series of functions, Differentiability, Integrability, Inverse and Implicit function theorems, Fundamental Theorems of Multivariable Calculus (Green¿s Theorem, Stokes Theorem, Divergence Theorem). Spring semester. Prerequisite: MATH 421. 3.000 Credit Hours. Math & Computer Science Department

MATH 441 - Foundations of Geometry

Historical background of the study of Euclidean geometry; development of two-dimensional Euclidean geometry from a selected set of postulates. Offered occasionally. Pre-requisite: MATH 142. 3.000 Credit Hours. Graduate, Undergraduate

MATH 447 - Non-Euclidean Geometry

The rise and development of the non-Euclidean geometries with intensive study of plane hyperbolic geometry. Offered occasionally. Pre-requisite: MATH 142. 3.000 Credit Hours. Graduate, Undergraduate

MATH 448 - Differential Geometry

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. 3.000 Credit Hours. Graduate, Undergraduate

MATH 451 - Introduction to Complex Variables

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. Pre-requisite: MATH 244. 3.000 Credit Hours. Graduate, Undergraduate

MATH 452 - Complex Variables II

This course is a continuation of MATH 451. Topics covered include series, residues and poles, conformal mapping, integral formulas, analytic continuation, and Riemann surfaces. Spring semester. Pre-requisite: MATH 451. 3.000 Credit Hours. Graduate, Undergraduate

MATH 453 - Geometric Topology

An introduction to the geometry and topology of surfaces and three dimensional spaces. Topics covered Include Euclidean, spherical and hyperbolic geometry, topology of surfaces, knot theory, and the fundamental group. Prerequisite: MATH 451. 3.000 Credit Hours. Math & Computer Science Department

MATH 455 - Nonlinear Dynamics and Chaos

Bifurcation in one-dimensional flows. Two-dimensionalflows, fixed points and linearization, conservative systems, index theory, limit cycles. Poincare-Bendixson theory, bifurcations. Chaos, the Lorenz equation, discrete maps, fractals, and strange attractors. Pre-requisite: MATH 355. 3.000 Credit Hours. Graduate, Undergraduate

MATH 457 - Partial Differential Equations

Fourier series, Fourier Intergrals, the heat equation, Staum-Liouville problems, the wave equation, the potential equation, problems in several dimensions, Laplace transforms numerical methods. Pre-requisite: MATH 355. 3.000 Credit Hours. Graduate, Undergraduate

MATH 463 - Graph Theory

Basic definitions and concepts, undirected graphs (trees and graphs with cycles), directed graphs, and operation on graphs, Eulers formula, and surfaces. Offered occasionally. Pre-requisite: MATH 244. 3.000 Credit Hours. Graduate, Undergraduate

MATH 465 - Cryptography

Classical cryptographic systems, public key cryptography, symmetric block ciphers, implementation issues. Related and supporting mathematical concepts and structures. Pre-requisite: MATH 143 3.000 Credit Hours. Graduate, Undergraduate

MATH 493 - Special Topics

3.000 Credit Hours.

MATH 495 - Senior Residency

Required for graduating seniors. 0.000 Credit Hours. Senior Residency

MATH 498 - Advanced Independent Study

Prior permission of sponsoring professor and chair required. 0.000 TO 6.000 Credit Hours. Independent Study

MATH 4WU - Washington Univeristy Inter-U

0.000 TO 3.000 Credit Hours. Inter-University College

MATH 501 - Linear Algebra

Prerequisite: advanced undergraduate course in modern Algebra. 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. Offered every Spring semester. 3.000 Credit Hours. Graduate

MATH 502 - Metric Spaces

Prerequisite: an advanced undergraduate course in analysis. Set theory, real line, separation properties, compactness, metric spaces, metrization. (Offered every Spring semester.) 3.000 Credit Hours. Graduate

MATH 506 - Math Methods Engineering I

Prerequsitie: Permission of Instructor. Review of vector analysis, curvilinear coordinates, introduction to partial differential equations, Cartesian tensors, matrices, similarity transformations, variational methods, Lagrange multipliers, Cauchy-Riemann conditions, geometry of a complex plane, conformal mapping, and engineering applications. Offered every Fall semester. 3.000 Credit Hours. Graduate

MATH 507 - Math Methods Engineering II

Calculus of residues, contour integration, multi-valued functions, series solutions of differential equations, Sturm-Liouville theory, special functions, integral transforms, discrete Laplace and Fourier transforms, basic numerical methods, finite difference methods, and their applications to partial differential equations. Offered every Spring semester. 3.000 Credit Hours. Graduate

MATH 511 - Algebra

Simple properties of groups, groups of transformations,subgroups, homomorphisms and isomorphisms, theorems of Schreier and Jordan-Hoelder, mappings into a group, rings, integral domains, fields, polynomials, direct sums and modules. Offered every Fall semester. 3.000 Credit Hours. Graduate, Undergraduate

MATH 512 - Algebra II

Rings, fields, bases and degrees of extension fields, transcendental elements, normal fields and their structures. Galois theory, finite fields; solutions of equations by radicals, general equations of degree n. Offered every Spring semester. 3.000 Credit Hours. Graduate

MATH 521 - Real Analysis I

The topology of the reals, Lebesque and Borel measurable functions, properties of the Lebesque integral, differential of the integral. Offered every Fall semester. 3.000 Credit Hours. Graduate, Undergraduate

MATH 522 - Real Analysis II

Compact and locally compact spaces, the Stone Weierstress theorem, measure theory, Radon Nikodym Theorem, the Lp-spaces, product invariant measures. Offered every Spring semester. 3.000 Credit Hours. Graduate

MATH 531 - General Topology I

Topological spaces, convergence, nets, product spaces, metrization, compact spaces, connected spaces. Offered every Fall semester. 3.000 Credit Hours. Graduate

MATH 532 - General Topology II

Compact surfaces, fundamental groups, force groups and free products, Seifert-van Kampean theorem, covering spaces. Offered every Spring semester. 3.000 Credit Hours. Graduate

MATH 593 - Special Topics in Mathematics

1.000 TO 3.000 Credit Hours. Graduate

MATH 595 - Special Study for Examinations

0.000 Credit Hours. Graduate Special Study Exams

MATH 598 - Graduate Reading Course

Prior permission of instructor and chairperson required. 1.000 TO 3.000 Credit Hours. Graduate Independent Study

MATH 599 - Thesis Research

0.000 TO 6.000 Credit Hours. Graduate Research

MATH 5CR - Master's Degree Study

0.000 Credit Hours. Graduate Research

MATH 5WU - Wash U Inter Univerisity Cours

0.000 TO 3.000 Credit Hours. Graduate

MATH 611 - Algebra III

Categories and functors, properties of hom and tensor, projective and injective modules, chain conditions, decomposition and cancellation of modules, theorems of Masche, Wedderburn, and Artin-Wedderburn, tensor algebras. Offered every other year. 3.000 Credit Hours. Graduate

MATH 618 - Topics in Algebra

Various topics are discussed to bring graduate students to the forefront of a research area in algebra. Times of offering in accordance with research interests of faculty. Offered occasionally. 3.000 Credit Hours. Graduate

MATH 621 - Lie Groups and Lie Algebras

Lie groups and Lie algebras, matrix groups, the Lie algebra of a Lie group homogeneous spaces, solvable and nilpotent groups, semi-simple Lie groups. Offered every other year. 3.000 Credit Hours. Graduate

MATH 622 - Rep Theory of Lie Groups

Representation theory of Lie groups, irreducibility and complete reducibility, Cartan subalgebra and root space decomposition, root system and classification, coadjoint orbits, harmonic analysis on homogeneous spaces. Offered every other year. 3.000 Credit Hours. Graduate

MATH 628 - Topics in Analysis

Various topics are offered to bring graduate students to the forefront of a research area in analysis. Times of offering in accordance with research interests of faculty. Offered occasionally. 3.000 Credit Hours. Graduate

MATH 631 - Algebraic Topology

Homotopy theory, homology theory, exact sequences, Mayer-Victoris sequences, degrees of maps, cohomology, Kunneth formula, cup and cap products, applications to manifolds including Poincare-Lefshetz duality. Offered every other year. 3.000 Credit Hours. Graduate

MATH 632 - Topology of Manifolds

Examples of manifolds, the tangent bundle, maps between manifolds, embeddings, critical values, transversality, isotopies, vector bundles and bubular neighborhoods, cobordism, intersection numbers and Euler characteristics. May be taught in either the piecewiselinear or differentiable categories. Offered every other year. 3.000 Credit Hours. Graduate

MATH 638 - Topics in Topology

Various topics are offered to bring graduate students to the forefront of a research area in topology. Times of offering in accordance with research interests of faculty. Offered occasionally. 3.000 Credit Hours. Graduate

MATH 641 - Differential Geometry I

The theory of differentiable manifolds, topological manifolds, differential calculus of several variables, smooth manifolds and submanifolds, vector fields and ordinary differential equations, tensor fields, integration and De Rham cohomology. Offered every Fall semester. 3.000 Credit Hours. Graduate

MATH 642 - Differential Geometry II

Continuation of MT-A641. Offered every Spring semester. 3.000 Credit Hours. Graduate

MATH 648 - Topics in Geometry

Various topics are offered to bring graduate students to the forefront of a research area in geometry. Times of offering in accordance with research interests of faculty. Offered occasionally. 3.000 Credit Hours. Graduate

MATH 695 - Special Study for Examinations

0.000 Credit Hours. Graduate Special Study Exams

MATH 698 - Graduate Reading Course

Prior permission of instructor and chairperson required. 1.000 TO 3.000 Credit Hours. Graduate Independent Study

MATH 699 - Dissertation Research

0.000 TO 6.000 Credit Hours. Graduate Research

MATH 6CR - Doctor of Philosophy Degree St

0.000 Credit Hours. Graduate