DEGREE PROGRAMS & COURSES SEARCH COURSES Program: -- Select One -- Accounting - ACCT Air Force Science - AFSC Arabic - ARAB Art History - ARTHS Arts -- Studio Arts - ARTS BIE/DL - BIE/DL Biology - BIOL Catholic Studies - CS Chemistry - CHEM Chinese - CHIN Communication - COMM Computer Science - COMSC DEIS - DEIS Drama - DRAM Early Childhood Education - ECE Economics - ECON Education - EDUC English - ENGL Environmental Science - ENSC Environmental Studies - ENVR Finance - FINA French - FREN Geography - GEOG Geology - GEOL German - GERM History - HIST Honors Program - HNRS International Studies - INST Irish Studies - IRST Italian - ITAL Japanese - JPNS Liberal Arts - Justice - MLJUS Management - MGMT Marketing - MKTG Master of Business Admin. - MBA Mathematics - MATH Military Science - MILSC MLA - Irish Studies - MLIRS MLA - Women, Culture & Society - MLWCS MLA-Art History - MLART MLA-Catholic Studies - MLCSP MLA-Classics - MLCLA MLA-Communication - MLCOM MLA-Drama - MLDRA MLA-English - MLENG MLA-Environmental Studies - MLENV MLA-French - MLFRN MLA-Geography - MLGEO MLA-History - MLHIS MLA-International Studies - MLINS MLA-Master of Arts - MLYMA MLA-Master of Liberal Arts - MLMLA MLA-Philosophy - MLPHL MLA-Political Science - MLPOS MLA-Psychology - MLPSY MLA-Spanish - MLSPA MLA-Theology - MLTHE Modern & Classical Language - CLASS Multidisciplinary Studies - MS Music - MUSC Pastoral Studies - CG Pastoral Theology - CU Philosophy - PHIL Physical Education - PE Physics - PHYS Political Science - POSC Psychology - PSYC Reading Education - RDGED Social Justice - JUST Sociology - SOCI Spanish - SPAN Special Education - SPED Theology - THEO UNIV - UNIV Women, Culture and Society - WCS YBAL-Ancient Languages - YBAL YHS-Historical Studies - YHS YLHS-Church History - YLHS YLPC-Canon Law - YLPC YLPF-Field Education - YLPF YLPH-Practical - YLPH YLPL-Liturgical/Sacramental - YLPL YLPP-Practical - YLPP YLSD-Systematic Theology - YLSD YLSM-Systematic Moral - YLSM YLSS-Sacred Scripture - YLSS YMA-Theological Studies - YMA YMD-Systematic Doctrine - YMD YMH-Historical Studies - YMH YMM-Systematic Moral Theology - YMM YMS-Sacred Scripture - YMS YPC-Canon Law - YPC YPF-Pastoral Field Education - YPF YPH-Homiletics - YPH YPL-Liturgical Sacramental - YPL YPP-Practical - YPP YSD-Systematic Doctrine - YSD YSM-Systematic Moral Theology - YSM YSS-Sacred Scripture - YSS Level: -- ALL COURSE LEVELS -- Graduate Undergraduate MATH 1031 - Calculus I Lab Mathematics Limits, continuity, differentiation, integration and applications of both differentiation and integration. Prerequisite: Passing score on the Mathematics Placement Exam on Math 1331 or the equivalent. Fall, Spring. MATH 1032 - Calculus II Lab Mathematics Transcendental functions, techniques of integration, applications of integration, parametric equations, polar coordinates, infinite sequences and series. Prerequisite: Grade of “C” or better in Math 1431. Fall, Spring. MATH 1315 - Intermediate Algebra Mathematics This course is required of any student who fails the math placement exam and must be passed with a grade of 'C' or better to take any subsequent math course. Mathematics 1315 is especially designed to prepare a student for a subsequent mathematics course required by the university. This course does not satisfy the core requirement or credit requirements for graduation. Fall, Spring. MATH 1325 - The Nature of Mathematics Mathematics This course is an exploration of great ideas in mathematics. The course describes the nature of mathematics and provides insights into various strategies used by mathematicians in solving problems. The course emphasizes creative and effective thinking through an introductory examination of a wide variety of topics such as number theory, geometry, infinity, topology, chaos and fractals, and decision making. (This course does not satisfy the UST core requirements nor can it be used to satisfy any requirement in the mathematics major or minor.) MATH 1331 - Pre-Calculus Algebra & Trigonometry Mathematics Transcendental functions, techniques of integration, applications of integration, parametric equations, polar coordinates, infinite sequences and series. Fall, Spring. MATH 1337 - Contemporary Mathematics I Mathematics Set theory, numerations systems, the system of whole numbers, integers and rational numbers. Does not satisfy the University core requirement in mathematics. Prerequisite: Department Consent. Fall. MATH 1338 - Contemporary Mathematics II Mathematics Basic concepts of measurement, probability and statistics, logical thinking, problem solving, graphing and informal geometry. Does not satisfy the University core requirement in mathematics. Prerequisite: Department Consent. Spring. MATH 1351 - Finite Mathematics Mathematics Topics from contemporary mathematics, their development, applications and role in society. Some typical topics, to be chosen by the instructor include graph theory, mathematical finance, critical path analysis, statistical inference, coding, game theory and symmetry. Applications are in the management, natural and social sciences. Spring. MATH 1353 - Mathematics for Economics and Business Mathematics Mathematics of finance, linear equations, inequalities, and mathematical models with emphasis on applications. Fall, Spring, day and evening. MATH 1425 - Success Through Enhancement of Mathematical Skills (STEMS) Mathematics Topics covered will include numerical evaluation of logarithms and the use of methods for working with them, the interpretation and manipulation of numbers in scientific notation; trigonometric functions; the quantitative interpretation and generation of graphs; the evaluation of ratios of numbers with integer exponents; the simplification of rational expressions, and the use of percentages; estimation methods without the use of calculators; dimensional analysis; trigonometric functions. The course emphasizes creative and effective problem solving techniques in a real world context and an enhancement of mathematical skills leading to greater achievement in STEM (Science, Engineering, Technology and Mathematics) courses. Prerequisite: Acceptance in the Science and Mathematics Summer Institute. Co-Requisite: UNIV 1201. Summer. MATH 1431 - Calculus I Mathematics The classical calculus course. Limits, differentiation, integration of functions of one and two variables with applications; infinite series. Fall, Spring. MATH 1432 - Calculus II Mathematics Transcendental functions, techniques of integration, applications of integration, parametric equations, polar coordinates, infinite sequences and series. Prerequisite: Grade of “C” or better in Math 1431. Fall, Spring. MATH 2031 - Calculus III Lab Mathematics MATH 2337 - Euclidean Geometry Mathematics An informal but logical development of the most common geometry of points, lines, plane figures and solids. Practical proof, visualization and synthesis of topics are emphasized. Applications to analytic geometry and trigonometry are included. Prerequisite: Department Consent. MATH 2338 - Introduction to Technical Computing Mathematics Students are introduced to the application of computers to engineering and scientific problems using modern computational packages and a high level programming language. Data representation, software design and utilization, structured programming and numerical algorithms are introduced through student programming projects. Prerequisite: MATH 1431. Fall. MATH 2340 - A Transition to Mathematics Mathematics Methods of proof (direct, contradiction, conditional, contraposition); valid and invalid arguments. Examples from set theory. Quantified statements and their arguments. Functions, indexed sets, set functions. Proofs in number theory, algebra, geometry and analysis. Proofs by induction. Equivalence and well-defined operations and functions. The axiomatic method. Prerequisite: Math 1432. Fall, Spring. MATH 2343 - Differential Equations Mathematics Basic concepts, theory, methods, and applications of ordinary differential equations. Prerequisite: MATH 1432. Fall, Spring. MATH 2431 - Calculus III Mathematics Vectors and the geometry of space, vector functions, partial derivatives, multiple integrals, Green’s Theorem, curl and divergence, Stokes’ Theorem, The Divergence Theorem. Prerequisite: Grade of 'C' or Better in MATH 1432. Fall, Spring. MATH 2434 - Introduction to Applied Statistical Concepts Mathematics Data collection and experimental design, descriptive statistics, confidence intervals, parametric and nonparametric one and two-sample hypothesis tests, analysis of variance, correlation, simple and multiple linear regression, chi-square tests. Not open to students with credit in MATH 3332 or MATH 3440. This course may not be used as part of the mathematics courses required of mathematics majors. Fall, Spring MATH 2437 - Contemporary Mathematics for Elementary Teachers Mathematics A modern approach to the mathematics commonly taught to young children. Theorietic bases for computation and measurement are established. The geometric properites of shapes and solids are explored both visually and through computations. The basics of theoretical and empirical probabliity are developed using models and manipulatives. Additional topics such as problem solving algorithms, elementary logic and statistics are introduced. MATH 3181 - Junior Seminar Mathematics Written and oral analysis and presentations by students on topics from mathematics. Student research projects. Prerequisites: MATH 2431, 2340. Fall, Spring. MATH 3193 - Special Topics in Mathematics Mathematics Junior division treatment of selected topics of mutual interest to the faculty member and students. Prerequisite: Department Consent. MATH 3293 - Special Topics in Mathematics Mathematics Junior division treatment of selected topics of mutual interest to the faculty member and students. Prerequisite: Department Consent. MATH 3322 - Advanced Calculus Mathematics A rigorous treatment of calculus. Prerequisites: MATH 2340, 2431. MATH 3323 - Vector Analysis Mathematics Algebra and calculus of vectors, vector differential operators, Green’s and Stokes’ theorems, curvilinear coordinates, tensors. Maxwell’s Equations. Prerequisite: MATH 2340. Spring. MATH 3325 - Calculus for Business & Economics Mathematics Polynomial calculus for optimization and marginal analysis and elementary integration. Not open to students with credit in MATH 1431. Prerequisite: MATH 1353. Spring. MATH 3332 - Elementary Statistical Methods for Economics & Business Mathematics Basic concepts of statistics for Economics and Business majors with emphasis on statistical inference. Sampling and experimentation, descriptive statistics, confidence intervals, probability, one and two-sample hypothesis tests for means and proportions, Chi-squared tests, linear and multiple regressions, analysis of variance. Not open to students with credit in MATH 2434 or MATH 3340. This course may not be used as part of the upper division mathematics courses required of mathematics majors. Prerequisite: MATH 1353. Fall, Spring. MATH 3333 - Electrical Circuits Mathematics Electrical circuit laws and theorems, natural and forced response to DC and AC excitation, transfer functions, systems analysis, transformers, electromechanics, power generation and distribution. Prerequisites: MATH 2343, PHYS 2334. Fall. MATH 3334 - Linear Algebra Mathematics Matrices, inverses, linear systems, determinants, eigenvalues, eigenvectors, vector spaces, linear transformations, inner product spaces, Fourier series and orthogonal bases. Prerequisite: MATH 2431. Fall, Spring. MATH 3335 - A First Course in Probability Mathematics An elementary introduction to the mathematical theory of probability for students of mathematics, engineering and the sciences (including the social sciences and management science). Topics include combinatorial analysis, axioms of probability, conditional probability and independence, and random variables. Prerequisite: MATH 1432. MATH 3336 - Thermodynamics Mathematics (PHYS 3336) Fundamental properties of heat, work and energy. Analysis of thermodynamics systems, control-volume analysis and the mathematical modeling of energy transfer systems. Prerequisites: CHEM 1342, MATH 2431, PHYS 2332. Spring. MATH 3337 - Modern Geometry Mathematics A study of the foundations of Euclidean geometry; non-Euclidean geometry. MATH 3339 - Topics in Numerical Analysis Mathematics Numerical algorithms as applied to differential and integral calculus; stability and convergence of methods with error estimates. Prerequisites: MATH 2343 & Instructor Consent. MATH 3341 - Mechanics I Mathematics (PHYS 3341) The concepts of force, momentum, balance and friction are used in the application of vector algebra and the calculus to the modeling and analysis of force systems, free-body diagrams and the equilibrium states of rigid bodies. Prerequisites: MATH 2431, PHYS 2332. Fall. MATH 3342 - Mechanics II (Dynamics) Mathematics (PHYS 3342) The concepts of force, acceleration, work, energy, impulse, momentum and vibration are used in the application of vector and differential equations to the modeling and analysis of particle kinetics, planar and three-dimensional particle kinematics, and the behavior of rigid bodies. Prerequisite: MATH 2331. Spring. MATH 3343 - Differential Equations II Mathematics Continuation of MATH 2343. Power series solutions of differential equations and Bessel functions, Fourier series and transforms, matrices, systems of differential equations, introduction to generalized functions. Recommended for students interested in applications of mathematics and engineering. Prerequisite: Grade of 'C' or better in MATH 2343. Fall, Spring. MATH 3344 - Mathematical Methods in Engineering Mathematics Introduction to advance methods of mathematics useful in the analysis of engineering problems, theory or vector fields, Fourier analysis, Strum-Liouville theory, functions of a complex variable, selected topics in asymptotic analysis, special functions, perturbation theory. Recommended for students interested in engineering applications of mathematics. Prerequisite: MATH 2343. MATH 3345 - Number Theory Mathematics Properties of numbers, Euclid's Algorithm, greatest common divisors, diophantine equations, prime numbers, congruences, number theoretic functions, the quadratic reciprocity laws, primitive roots and indices. Prerequisite: MATH 2340. MATH 3346 - History of Mathematics Mathematics Evolution of mathematics from earliest to modern times. Major tends in mathematical thought, the interplay of mathematical and technological innovations, and the contributions of great mathematicians. Appropriate for prospective and in-service teachers. Prerequisite: Math 2340. MATH 3350 - Symbolic Logic Mathematics A course in symbolic logic defining truth and validity. Topics covered include: truth tables; simple and compound statement and statement forms; argument forms; formal proof of both validity and invalidity; methods of deduction and quantification theory. Prerequisite: MATH 2340. Spring. MATH 3360 - Combinatorial Theory Mathematics Topics chosen at the discretion of the instructor. Methods of enumerative combinatorics: sum, product, and division rules, bijective and recursive techniques, inclusion and exclusion, generating functions, and the finite difference calculus. Advanced topics to be selected from the theory of partitions, Polya theory, designs, and codes, graphs and trees, with applications including games of complete information. Combinatorial existence theorems, Ramsey theorem. Prerequisite: MATH 1431. Spring. MATH 3393 - Special Topics in Mathematics Mathematics Junior division treatment of selected topics of mutual interest to the faculty member and students. Prerequisite: Department Consent. MATH 3430 - Intermediate Statistics Mathematics Design of experiments, sampling analysis, and the principles of statistical inference are applied to information in electronic format. Topics include hypothesis testing, linear and non-linear regression, multiple regression, contingency tables, and analysis of variance as well as selected techniques for time series analysis. Prerequisite: MATH 1431 or 3325. MATH 3493 - Special Topics in Mathematics Mathematics Junior division treatment of selected topics of mutual interest to the faculty member and students. Prerequisite: Department Consent. MATH 4181 - Senior Seminar Mathematics Written and oral analysis and presentations by students on topics from mathematics. Student research projects. Prerequisite: MATH 3181. MATH 4182 - Senior Project I Mathematics Undergraduate research under faculty supervision. Selection and completion of a written thesis, culminating in a departmentally approved report. The research topic and required senior thesis must be approved by a committee of three faculty members. May be taken in place of Junior Seminar (MATH 3181) to meet core requirements. Students may not receive credit for both MATH 3181 and MATH 4182. Prerequisites: Senior Standing & Department Consent. MATH 4183 - Senior Project II Mathematics Continuation of MATH 4182. May be taken in place of Senior Seminar(MATH 4181) to meet mathematics graduation requirements. May be taken concurrently with MATH 4182 with permission of chair. Students may not receive credit for both MATH 4181 and MATH 4183. Prerequisites: MATH 4182 & Department Consent. MATH 4192 - Directed Reading/Independent Study in Mathematics Mathematics Student research on a selected problem in the field pursued under the guidance of an assigned member of the faculty. Prerequisite: Department Consent. MATH 4193 - Special Topics in Mathematics Mathematics Upper division treatment of selected topics of mutual interest to the professor and students. Prerequisite: Department Consent. MATH 4292 - Directed Reading/Independent Study in Mathematics Mathematics Student research on a selected problem in the field pursued under the guidance of an assigned member of the faculty. Prerequisite: Department Consent. MATH 4293 - Special Topics in Mathematics Mathematics Upper division treatment of selected topics of mutual interest to the professor and students. Prerequisite: Department Consent. MATH 4331 - Real Analysis I Mathematics Introduction to concepts and methods basic to real analysis. Topics such as the real number system, sequences, continuity, uniform continuity, differentiation, infinite series and integration. Prerequisite: Math 2340. Fall. MATH 4332 - Real Analysis II Mathematics Continuation of Math 4331 covering such topics as uniform convergence and functions of several variables. Strongly recommended for students planning to enter graduate school or secondary teaching and those interested in applied mathematics. Prerequisite: MATH 4331 with a grade of “C” or better. Spring. MATH 4335 - Topology Mathematics The basics of point-set topology. Open and closed sets, limits points, topological spaces, countability, compactness, connectedness, metrics and metric topologies. Prerequisite: A grade of 'C' or higher in MATH 2333 or permission of the instructor. MATH 4336 - Complex Analysis Mathematics Calculus of a function of a complex variable. Prerequisite: MATH 2340. MATH 4338 - Abstract Algebra I Mathematics Fundamental algebraic structures and types of algebras, including operations within them and relations among them. Groups, rings and fields. Prerequisite: MATH 2340 or permission of faculty member. Fall. MATH 4339 - Abstract Algebra II Mathematics Direct products, Sylow theory, ideals, extensions of rings, factorization of ring elements, modules, and Galois theory. Prerequisite: MATH 4338. Spring. MATH 4341 - Linear Algebra II Mathematics Continuation of MATH 2341. Linear transformations and similarity, eigenvalues and diagonalization, complex vector spaces, unitary and self-adjoining matrices, Spectral Theorem, Jordon canonical form. Selected topics in linear programming, convexity, numerical methods, and functional analysis. Prerequisites: MATH 2340 and a grade of 'C' or better in MATH 3334. Spring. MATH 4343 - Introduction to Partial Differential Equations Mathematics Mathematical formulation of physical laws. Existence and uniqueness for Cauchy and Dirichlet problems; classification of equations; potential-theoretic methods; other topics at the discretion of the instructor. Recommended for students interested in applications of mathematics and engineering. Prerequisites: MATH 2340 & a grade of 'C' or better in MATH 2343. Spring. MATH 4345 - Introduction to Differential Geometry & Topology Mathematics Theory of curves and surfaces in space. Topics such as curvature, geodesics, Gauss map, Gauss-Bonnet Theorem, combinatorial topology and selected topics. Prerequisites: MATH 3323, 3334. Spring. MATH 4392 - Directed Reading/Independent Study in Mathematics Mathematics Student research on a selected problem in the field pursued under the guidance of an assigned member of the faculty. Prerequisite: Department Consent. MATH 4393 - Special Topics in Mathematics Mathematics Upper division treatment of selected topics of mutual interest to the professor and students. Prerequisite: Department Consent. MATH 4492 - Directed Reading/Independent Study in Mathematics Mathematics Student research on a selected problem in the field pursued under the guidance of an assigned member of the faculty. Prerequisite: Department Consent. MATH 4493 - Special Topics in Mathematics Mathematics Upper division treatment of selected topics of mutual interest to the professor and students. Prerequisite: Department Consent. Copyright 2006-2007 University of St. Thomas. All Rights Reserved. http://www.stthom.edu/Degrees_Programs_Courses/Courses_Schedule/Search_Courses_P op_Up.aqf