2018-19 Academic Catalog

May 19, 2024

2018-19 Academic Catalog [ARCHIVED CATALOG]

Course Descriptions

For schedule and detailed course information, including schedule types, please see the Class Schedule and Course Descriptions webpage.

Schedule Type Classifications

The delivery of instruction often requires educational material to be organized and presented to students in a variety of ways. In order to facilitate the planning for and scheduling of classes to accommodate these multiple types of instruction, it is necessary to divide courses into organizational parts which reflect the unique combinations of instructors, meeting places, and time patterns used to conduct the instruction. The schedule types listed below are intended to reflect the nature of activities required of students, the relationship between students and their instructors, and the settings required to deliver the content of an instructional offering.

LEC — Lecture
LAB — Laboratory
DIS — Distance Education
CLN — Clinic
EX — Experiential
IND — Individual Study
SD — Studio

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Mathematics
	MA 10000 - An Introduction To Mathematical Sciences Credit Hours: 1.00. This course is intended to: integrate freshman mathematics majors into the department; help them adjust to university life; assist them in developing their academic and intellectual capabilities; introduce them to contemporary issues in mathematics; provide an overview of the careers open to those with degrees in mathematics. This course must be taken as pass/no pass only. Credit by examination is not available for this course. Typically offered Fall. General Education: First Year Experience View Class Schedule
	MA 11100 - Algebra Prerequisite(s): (PASM FOR MIN. SCORE OF 111 OR M023 FOR MIN. SCORE OF 04 OR M023 FOR MIN. SCORE OF 03 OR M023 FOR MIN. SCORE OF 02) OR APPL FOR MIN. SCORE OF 035 Credit Hours: 3.00. This is an algebra review course for students not prepared for MA 15200, 15300, or 15900. Topics covered: real numbers, linear functions, solving linear equations and systems of linear equations, absolute value equations and inequalities, rational expressions, complex numbers, proportions, solving quadratic equations. Typically offered Fall Spring Summer. View Class Schedule
	MA 11500 - Intermediate Algebra Prerequisite(s): APPL FOR MIN. SCORE OF 035 Credit Hours: 3.00. The purpose of this course is to strengthen and expand student’s basic algebraic skills and problem-solving capabilities and to prepare them for higher level mathematics courses. For the purposes of general education requirements, Math 115 is not a collegiate level mathematics course, and therefore cannot be used to satisfy the general education requirement for mathematics at Purdue University Calumet. Typically offered Summer Fall Spring. View Class Schedule
	MA 12301 - Mathematical Ideas Credit Hours: 3.00. This course is designed to expose students to a variety of topics that will both enrich and stimulate their interest in mathematics. Topics may include (but are not limited to): the Pigeonhole Principles, Numerical Patterns in Nature, Infinity, The Pythagorean Theorem, and Chaos & Fractals. Additional topics may include: Contortions of space, measuring uncertainty, and mathematical decision making. Typically offered Fall Spring Summer. General Education: Quantitative Reasoning View Class Schedule
	MA 13700 - Mathematics For Elementary Teachers I Prerequisite(s): MA 11100 FOR LEVEL UG WITH MIN. GRADE OF C OR MA 11500 FOR LEVEL UG WITH MIN. GRADE OF C OR APPL FOR MIN. SCORE OF 045 Credit Hours: 3.00. Designed for prospective elementary school teachers. Problem solving. Numerical reasoning including self-generated and conventional algorithms. Whole and fractional number systems, elementary number theory. (Not available for credit toward graduation in the College of Engineering and Sciences). Typically offered Fall. General Education: Quantitative Reasoning View Class Schedule
	MA 13800 - Mathematics For Elementary Teachers II Prerequisite(s): MA 13700 FOR LEVEL UG WITH MIN. GRADE OF C Credit Hours: 3.00. Continues the study of number systems through integers, rational numbers and real numbers. Quantitative and proportional reasoning as a foundation for algebraic reasoning. Elementary statistical and probabilistic reasoning. (Not available towards graduation in the College of Engineering and Sciences). Typically offered Fall Spring. View Class Schedule
	MA 13900 - Mathematics For Elementary Teachers III Prerequisite(s): MA 13700 FOR LEVEL UG WITH MIN. GRADE OF C Credit Hours: 3.00. Geometric, measurement and spatial reasoning in one, two and three dimensions as the basis for elementary school geometry. Metric and non-metric geometry, transformation geometry. (Not available for credit toward graduation in the College of Engineering and Sciences). Typically offered Fall Spring. View Class Schedule
	MA 14700 - Algebra And Trigonometry For Technology Prerequisite(s): (MA 11500 FOR LEVEL UG WITH MIN. GRADE OF C- OR MA 11100 FOR LEVEL UG WITH MIN. GRADE OF C-) OR APPL FOR MIN. SCORE OF 045 Credit Hours: 3.00. MA 14700 and 14800 is a two semester sequence in algebra and trigonometry for students in technology. The emphasis is on technique and problem solving. MA14700 concentrates on topics in algebra. NOT open to students with credit in MA 15100 or 15300. Typically offered Fall Spring Summer. General Education: Quantitative Reasoning View Class Schedule
	MA 14800 - Algebra And Trigonometry For Technology II Prerequisite(s): MA 14700 FOR LEVEL UG WITH MIN. GRADE OF C- OR MA 15300 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Continuation of MA 14700. MA 14800 concentrates on trigonometry. Not open to students with credit in MA 15100 or MA 15400. Typically offered Fall Spring Summer. View Class Schedule
	MA 15200 - College Algebra Prerequisite(s): MA 11100 FOR LEVEL UG WITH MIN. GRADE OF C Credit Hours: 3.00. This is a course in college algebra for students who do not need the technical skills required for those who are planning to continue with calculus. There will be an emphasis on applied problems and graphing techniques. Topics covered: real numbers, linear functions, solving linear equations and systems of linear equations, absolute value equations and inequalities, rational expressions, complex numbers, proportions, solving quadratic equations, exponential and logarithmic functions, circle and parabola equations, and the mathematics of finance including compound interest and annuities. Students receiving and “A” or “B” in MA 15200 may continue with MA 15400. (Not available for credit toward graduation in the College of Science.) Prerequisite: demonstrated competence in intermediate algebra. Typically offered Fall Spring Summer. View Class Schedule
	MA 15300 - College Algebra Prerequisite(s): MA 11100 FOR LEVEL UG WITH MIN. GRADE OF C OR MA 11500 FOR LEVEL UG WITH MIN. GRADE OF C OR APPL FOR MIN. SCORE OF 045 Credit Hours: 3.00. MA 15300-15400 covers algebra and trigonometry for students with inadequate preparation for calculus. MA 15300 is College Algebra. Credit may not be earned in more than one of MA 14700, MA 15100, MA 15200 and MA 15300. MA 15300-15400 is a two-semester version of MA 15900. Typically offered Fall Spring Summer. CTL: IMA 1601 College Algebra General Education: Quantitative Reasoning View Class Schedule
	MA 15400 - Trigonometry Prerequisite(s): MA 15300 FOR LEVEL UG WITH MIN. GRADE OF C OR APPL FOR MIN. SCORE OF 060 OR ALEK FOR MIN. SCORE OF 050 Credit Hours: 3.00. Continuation of MA 15300. MA 15400 is Trigonometry. Credit may not be earned in more than one of MA 14800, MA 15400, or MA 15900. Typically offered Fall Spring Summer. CTL: IMA 1608 Trigonometric Functions General Education: Quantitative Reasoning View Class Schedule
	MA 15900 - Precalculus Prerequisite(s): APPL FOR MIN. SCORE OF 070 Credit Hours: 5.00. Algebra and trigonometry topics designed to prepare students for calculus. For credit towards graduation, students who use the credits earned in MA 15900 may not use credits earned in any of the following courses: MA 14700, MA 14800, MA 15300, or MA 15400. High School algebra and trigonometry required. Four years of high school mathematics strongly recommended. Typically offered Fall Spring. General Education: Quantitative Reasoning View Class Schedule
	MA 15910 - Introduction To Calculus Prerequisite(s): MA 15300 FOR LEVEL UG WITH MIN. GRADE OF C- OR APPL FOR MIN. SCORE OF 060 Credit Hours: 3.00. A survey of differential and integral calculus. Applications to the agricultural, life, managerial, and social sciences. Not available for credit toward graduation in the School of Science. Typically offered Fall Spring. General Education: Quantitative Reasoning View Class Schedule
	MA 16019 - Applied Calculus I For Technology Prerequisite(s): MA 14800 FOR LEVEL UG WITH MIN. GRADE OF C- OR APPL FOR MIN. SCORE OF 075 Credit Hours: 4.00. This course develops topics from analytical geometry and introduces differentiation and integration. Typically offered Fall Spring Summer. View Class Schedule
	MA 16021 - Applied Calculus II And Differential Equations Prerequisite(s): MA 21900 FOR LEVEL UG WITH MIN. GRADE OF C- OR MA 16019 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Techniques of integration and applications to technology problems such as work and fluid pressure; infinite series, convergence tests; differential equations and initial value problems; separable differential equations, second order differential equations; Laplace transform; Fourier series. Typically offered Fall Spring Summer. View Class Schedule
	MA 16031 - Calculus I For Life Sciences Prerequisite(s): MA 15300 FOR LEVEL UG WITH MIN. GRADE OF C- AND MA 15400 FOR LEVEL UG WITH MIN. GRADE OF C- OR MA 15900 FOR LEVEL UG WITH MIN. GRADE OF C- OR APPL FOR MIN. SCORE OF 075 Credit Hours: 3.00. This is the first course in a two-course sequence. It covers the single-variable calculus topics of value to majors in the life sciences. Topics include functions, limits, derivatives and their applications to the life sciences, and discrete-time dynamical systems. Typically offered Fall. General Education: Quantitative Reasoning View Class Schedule
	MA 16032 - Calculus II For Life Sciences Prerequisite(s): MA 16031 FOR LEVEL UG WITH MIN. GRADE OF C- OR MA 22300 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. This is the second course in a two-course sequence. Topics will include continued work with differentiation and integration of elementary functions and their compositions, application to pure-time and autonomous differential equations, and basic probability applied to life-science problems. Typically offered Spring. View Class Schedule
	MA 16100 - Plane Analytic Geometry And Calculus I Prerequisite(s): MA 15900 FOR LEVEL UG WITH MIN. GRADE OF C OR (MA 15300 FOR LEVEL UG WITH MIN. GRADE OF C AND MA 15400 FOR LEVEL UG WITH MIN. GRADE OF C) Credit Hours: 5.00. Introduction to differential and integral calculus of one variable, with applications. Some schools or departments may allow only 4 credit hours toward graduation for this course. Designed for students who have not had at least a one-semester calculus course in high school, with a grade of “A” or “B”. Not open to students with credit in MA 16500. Demonstrated competence in college algebra and trigonometry. Typically offered Fall Spring Summer. General Education: Quantitative Reasoning View Class Schedule
	MA 16200 - Plane Analytic Geometry And Calculus II Prerequisite(s): MA 16100 FOR LEVEL UG WITH MIN. GRADE OF C Credit Hours: 5.00. Continuation of MA 16100. Vectors in two and three dimensions, techniques of integration, infinite series, conic sections, polar coordinates, surfaces in three dimensions. Some schools or departments may allow only 4 credit hours toward graduation for this course. Typically offered Fall Spring Summer. View Class Schedule
	MA 16300 - Integrated Calculus Analysis Geometry I Prerequisite(s): MA 15900 FOR LEVEL UG WITH MIN. GRADE OF C- OR MA 15400 FOR LEVEL UG WITH MIN. GRADE OF C- OR APPL FOR MIN. SCORE OF 085 Credit Hours: 5.00. Topics from plane analytic geometry. Introduction to differentiation and integration. Applications. Typically offered Fall Spring Summer. General Education: Quantitative Reasoning View Class Schedule
	MA 16400 - Integrated Calculus Analysis Geometry Il Prerequisite(s): MA 16300 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 5.00. Continuation of MA 16300. Completion of introductory study of topics in plane analytic geometry and the calculus of one variable, infinite series. Typically offered Fall Spring Summer. View Class Schedule
	MA 16700 - Plane Analytical Geometry & Calculus I Prerequisite(s): MA 15900 FOR LEVEL UG WITH MIN. GRADE OF C OR (MA 15300 FOR LEVEL UG WITH MIN. GRADE OF C AND MA 15400 FOR LEVEL UG WITH MIN. GRADE OF C) Credit Hours: 5.00. Plane analytic geometry, differential calculus and an introduction to integral calculus of functions of a single variable, with applications. MA 16700 covers the same concepts and topics as MA 16100 combined with a cooperative learning environment and computer laboratory experience. Graduation credit may not be earned for more than one of MA 16100, 16700 and 22300. Typically offered Summer Fall Spring. View Class Schedule
	MA 16900 - Plane Analytical Geometry And Calculus II Prerequisite(s): (MA 16100 FOR LEVEL UG WITH MIN. GRADE OF C OR MA 16700 FOR LEVEL UG WITH MIN. GRADE OF C) Credit Hours: 5.00. Vectors, integral calculus of functions of a single variable, sequences and series, parametric equations and calculus, conics, and polar coordinates, with applications. MA 16900 covers the same concepts and topics as MA 16200 combined with a cooperative learning environment and computer laboratory experience. Graduation credit may not be earned for more than one of MA 16200, 16900 and 22400. Typically offered Summer Fall Spring. General Education: Quantitative Reasoning View Class Schedule
	MA 20500 - Discrete Mathematics For Computer Technology Prerequisite(s): MA 14700 FOR LEVEL UG WITH MIN. GRADE OF C- OR MA 15300 FOR LEVEL UG WITH MIN. GRADE OF C- OR CLM FOR MIN. SCORE OF 076 Credit Hours: 3.00. The course covers topics in discrete mathematics which are essential to the discipline of computer technology. These include: logic, sequences, mathematical induction, basic set theory, functions, recursion, relations, graphs, and trees. Typically offered Spring. View Class Schedule
	MA 21300 - Finite Mathematics I Prerequisite(s): MA 11100 FOR LEVEL UG WITH MIN. GRADE OF B Credit Hours: 3.00. Basic logic, set theory. Elementary probability, Markov chains. Vectors, matrices, linear systems, elementary graph theory. Applications to finite models in the managerial, social, and life sciences; and computer science. Typically offered Summer. View Class Schedule
	MA 22300 - Introductory Analysis I Prerequisite(s): MA 15300 FOR LEVEL UG WITH MIN. GRADE OF C AND MA 15400 FOR LEVEL UG WITH MIN. GRADE OF C Credit Hours: 3.00. Differential calculus with applications to management and economics. Prerequisites: Demonstrated competence in algebra and trigonometry. Typically offered Fall Spring Summer.CTL:IMA 1604 Calculus - Short I View Class Schedule
	MA 22400 - Introductory Analysis II Prerequisite(s): MA 22300 FOR LEVEL UG WITH MIN. GRADE OF C Credit Hours: 3.00. Integral calculus; partial derivatives; differentials; introduction to differential equations. Applications to management and economics. Typically offered Fall Spring Summer.CTL:IMA 1605 Calculus - Short II View Class Schedule
	MA 23700 - Advanced Topics In Mathematics For Elementary School Teachers I Prerequisite(s): MA 13700 FOR LEVEL UG WITH MIN. GRADE OF B OR MA 13800 FOR LEVEL UG WITH MIN. GRADE OF B OR MA 13900 FOR LEVEL UG WITH MIN. GRADE OF B Credit Hours: 3.00. Topics in algebra and functions such as axioms, algebraic notation and equations. Modeling of problems, concepts of a function, representation of functions, and types of functions (linear, quadratic, exponential, etc.), number systems, number theory, and set theory. Appropriate technologies for teaching such topics will be used. Permission of department required. Typically offered Fall Spring Summer. View Class Schedule
	MA 23800 - Advanced Topics In Mathematics For Elementary School Teachers II Prerequisite(s): MA 13700 FOR LEVEL UG WITH MIN. GRADE OF B AND MA 13800 FOR LEVEL UG WITH MIN. GRADE OF B Credit Hours: 3.00. Topics in data analysis and probability such as nature and uses of data, designing investigations and sampling, distinguishing between types of data, appropriate representations of data, interpretations of data, basic concepts of probability and randomness, simulations. Appropriate technologies for teaching such topics will be used. Permission of department required. Typically offered Fall Spring Summer. View Class Schedule
	MA 23900 - Advanced Topics In Mathematics For Elementary School Teachers III Prerequisite(s): MA 13700 FOR LEVEL UG WITH MIN. GRADE OF B AND MA 13900 FOR LEVEL UG WITH MIN. GRADE OF B Credit Hours: 3.00. Topics in proportionality, geometry, and measurement such as proportional reasoning and rescaling in geometric contexts, perspective, congruence and similarity, basic geometric figures, transformations, coordinate geometry, geometric measurement in multiple dimensions, constructions, proof and argumentation. Appropriate technologies for teaching such topics will be used. Permission of department required. Typically offered Fall Spring Summer. View Class Schedule
	MA 26100 - Multivariate Calculus Prerequisite(s): MA 16400 FOR LEVEL UG WITH MIN. GRADE OF C OR MA 16900 FOR LEVEL UG WITH MIN. GRADE OF C Credit Hours: 4.00. Continuation of MA 16300 (MA 16700) and MA 16400 (MA 16900). Parametric equations and calculus, solid analytic geometry, vector functions, differential and integral calculus of functions of two or more variables, and an introduction to vector calculus with applications. Typically offered Fall Spring Summer. View Class Schedule
	MA 26200 - Linear Algebra And Differential Equations Prerequisite(s): MA 26100 FOR LEVEL UG WITH MIN. GRADE OF C Credit Hours: 4.00. Linear algebra, elements of differential equations. Not open to students with credit in MA 26500 or 26600. Typically offered Fall Spring Summer. View Class Schedule
	MA 26400 - Differential Equations Prerequisite(s): MA 26100 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. A first course in ordinary differential equations. First order differential equations, linear and nonlinear systems of differential equations, and second order differential equations. Not open to students with credit in MA 26200. Typically offered Fall Spring Summer. View Class Schedule
	MA 26500 - Linear Algebra Prerequisite(s): MA 16400 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Introduction to linear algebra. Systems of linear equations, matrix algebra, vector spaces, determinants, eigenvalues and eigenvectors, diagonalization of matrices, applications. Not open to students with credit in MA 26200, 27200, 35000 or 35100. Typically offered Fall Spring Summer. View Class Schedule
	MA 30303 - Internship In Mathematical Sciences Credit Hours: 1.00 to 3.00. Directed in-service experience with employers that may include but not limited to government agencies, private industry, and community organizations. Permission of department required. Typically offered Fall Spring Summer. Experiential Learning (EL): Yes View Class Schedule
	MA 31200 - Probability Prerequisite(s): MA 26100 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. A calculus-based introduction to probability theory and stochastic processes. Topics include probability spaces, random variables, distributions, expectation, conditional probability, and discrete-state-space Markov chains. Typically offered Fall Spring Summer. View Class Schedule
	MA 31500 - Introduction To Abstract Mathematics Prerequisite(s): MA 26100 FOR LEVEL UG WITH MIN. GRADE OF C Credit Hours: 3.00. This course is a bridge from the mainly computational mathematics courses to the upper-level abstract courses. It focuses on the development of students’ abilities to construct proofs, examples and counter examples. Typically offered Spring. View Class Schedule
	MA 33000 - Concepts In Geometry Prerequisite(s): MA 26100 FOR LEVEL UG WITH MIN. GRADE OF C Credit Hours: 3.00. Fundamental concepts in geometry. Euclidean, non-Euclidean (including spherical and hyperbolic geometry), and fractal geometry. Typically offered Fall. View Class Schedule
	MA 34500 - Coding And Information Theory Prerequisite(s): MA 26500 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. An introduction to topics in coding and information theory: error-detecting and error-correcting codes, variable-length codes, decoding, entropy, information, channel capacity, Shannon’s theorems, basics of algebraic coding theory. Typically offered Fall Spring Summer. View Class Schedule
	MA 34800 - Discrete Mathematics Prerequisite(s): MA 26100 FOR LEVEL UG WITH MIN. GRADE OF C OR MA 26500 FOR LEVEL UG WITH MIN. GRADE OF C Credit Hours: 3.00. A problem-centered introduction to topics in discrete mathematics including induction, permutations, combinations, graphs, recurrence relations and generating functions. Typically offered Fall. View Class Schedule
	MA 35100 - Elementary Linear Algebra Prerequisite(s): MA 26200 FOR LEVEL UG WITH MIN. GRADE OF C (MAY BE TAKEN CONCURRENTLY) AND (MA 31500 FOR LEVEL UG WITH MIN. GRADE OF C OR MA 33000 FOR LEVEL UG WITH MIN. GRADE OF C OR MA 34800 FOR LEVEL UG WITH MIN. GRADE OF C) Credit Hours: 3.00. Systems of linear equations, finite dimensional vector spaces, matrices, determinants, eigenvalues and eigenvector applications to analytical geometry. Not open to students with credit in MA 26500. Typically offered Fall Spring. View Class Schedule
	MA 37700 - Computational Mathematics I Prerequisite(s): MA 26500 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. This is the first in a two-course sequence. Students will be introduced to the techniques and concepts of computational mathematics. Students will study the reliability, efficiency, and computer implementation of algorithms and numerical methods within the topics: solutions of equations and systems, numerical linear algebra and eigenvalues, interpolation, approximation, and curve fitting. Typically offered Fall. View Class Schedule
	MA 37800 - Computational Mathematics II Prerequisite(s): MA 37700 FOR LEVEL UG WITH MIN. GRADE OF C- OR MA 26400 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. This is the second in a two-course sequence. Students will study the reliability, efficiency, and computer implementation of algorithms and numerical methods within the topics: numerical differentiation and integration, numerical optimization, and differential equations. Typically offered Spring. View Class Schedule
	MA 40100 - Problem Solving In Mathematics Prerequisite(s): MA 26200 FOR LEVEL UG WITH MIN. GRADE OF C (MAY BE TAKEN CONCURRENTLY) AND (MA 31500 FOR LEVEL UG WITH MIN. GRADE OF C OR MA 33000 FOR LEVEL UG WITH MIN. GRADE OF C OR MA 34800 FOR LEVEL UG WITH MIN. GRADE OF C) Credit Hours: 3.00. Intended primarily for prospective teachers, this course deals with techniques of problem solving and proof. Problems are taken from algebra, number theory, and geometry. Topics relevant to the school curriculum are emphasized. The use of microcomputers and calculators in problem solving is discussed. Typically offered Fall Spring. View Class Schedule
	MA 40300 - Mathematical Research Prerequisite(s): MA 26100 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 1.00 to 3.00. Undergraduate research in the mathematical sciences under the direction of a faculty member. May be used to fulfill an experiential learning requirement. Permission of instructor required. Typically offered Fall Spring Summer. Experiential Learning (EL): Yes View Class Schedule
	MA 44600 - Introduction to Real Analysis Prerequisite(s): MA 26500 FOR LEVEL UG WITH MIN. GRADE OF C- AND MA 26400 FOR LEVEL UG WITH MIN. GRADE OF C- (MAY BE TAKEN CONCURRENTLY) AND MA 31500 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. An introduction to basic concepts fo real analysis; topology of the real line, sequences, series, and various forms of convergence, applications to derivatives and integrals. Typically offered Fall Spring Summer. View Class Schedule
	MA 45300 - Elements Of Algebra I Prerequisite(s): MA 26500 FOR LEVEL UG WITH MIN. GRADE OF C- AND MA 31500 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Fundamental properties of integers, polynomials, groups, rings, and fields, with emphasis on problem solving and applications. Not open to students with credit in MA 45000. Typically offered Fall. View Class Schedule
	MA 47200 - Introduction To Applied Mathematics Prerequisite(s): MA 26500 FOR LEVEL UG WITH MIN. GRADE OF C- AND MA 26400 FOR LEVEL UG WITH MIN. GRADE OF C- AND CS 20600 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. An introduction to the basic ideas and methods of applied mathematics. Topics taken from elementary partial differential equations, separation of variables and Fourier series, Fourier transforms, calculus of variations, applied linear algebra, numerical methods, modeling. Typically offered Fall Spring Summer. View Class Schedule
	MA 48000 - The Practicum In Applied Mathematics Credit Hours: 3.00. The practicum course consists of a small team (a faculty advisor and 1-4 students) working on a real problem obtained in conjunction with a local business or industry. Not more than two terms of MA 480 and/or CS 480 may be taken for credit. Typically offered Fall Spring Summer. View Class Schedule
	MA 49000 - Topics In Mathematics For Undergraduates Credit Hours: 1.00 to 6.00. Supervised reading courses as well as special topics courses for undergraduates are given under this number. Permission of instructor required. Typically offered Fall Spring Summer. View Class Schedule
	MA 51000 - Vector Calculus Prerequisite(s): MA 26400 FOR LEVEL UG WITH MIN. GRADE OF C- AND MA 26500 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Calculus of functions of several variables and of vector fields in orthogonal coordinate systems. Optimization problems, implicit function theorem, Green’s theorem, Stokes’ theorem, divergence theorems. Applications to engineering and the physical sciences. Not open to students with credit in MA 36200 or 41000. Typically offered Fall Spring Summer. View Class Schedule
	MA 52000 - Boundary Value Problems Of Differential Equations Prerequisite(s): MA 26400 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Separation of variables; Fourier series; boundary value problems; Fourier transforms; Bessel functions; Legendre polynomials. Typically offered Fall Spring Summer. View Class Schedule
	MA 52100 - Introduction To Optimization Problems Prerequisite(s): MA 26500 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Necessary and sufficient conditions for local extrema in programming problems and in the calculus of variations. Control problems; statement of maximum principles and applications. Discrete control problems. Typically offered Fall. View Class Schedule
	MA 52500 - Introduction To Complex Analysis Prerequisite(s): MA 26400 FOR LEVEL UG WITH MIN. GRADE OF C- AND MA 26500 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Complex numbers and complex-valued functions of one complex variable; differentiation and contour integration; Cauchy’s theorem; Taylor and Laurent series; residues; conformal mapping; applications. Not open to students with credit in MA 42500. Typically offered Fall Spring Summer. View Class Schedule
	MA 53200 - Elements Of Stochastic Processes Credit Hours: 3.00. (STAT 53200) A basic course in stochastic models, including discrete and continuous time Markov chains and Brownian motion, as well as an introduction to topics such as Gaussian processes, queues, epidemic models, branching processes, renewal processes, replacement, and reliability problems. Typically offered Spring. View Class Schedule
	MA 54000 - Analysis I Prerequisite(s): MA 44600 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Metric spaces, compactness and connectedness, sequences and series, continuity and uniform continuity, differentiability, Taylor’s Theorem, Riemann-Stieltjes integrals. Typically offered Fall Spring Summer. View Class Schedule
	MA 54100 - Analysis II Prerequisite(s): MA 54000 FOR LEVEL GR WITH MIN. GRADE OF C- Credit Hours: 3.00. Sequences and series of functions, uniform convergence, equicontinuous families, the Stone-Weierstrass Theorem, Fourier series, introduction to Lebesgue measure and integration. Typically offered Fall Spring Summer. View Class Schedule
	MA 55300 - Introduction To Abstract Algebra Prerequisite(s): MA 45300 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Group theory: Sylow theorems, Jordan Hlder theorem, solvable groups. Ring theory: unique factorization in polynomial rings and principal ideal domains. Field theory: ruler and compass constructions, roots of unity, finite fields, Galois theory, solvability of equations by radicals. Typically offered Fall. View Class Schedule
	MA 55400 - Linear Algebra Prerequisite(s): MA 26500 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Review of basics: vector spaces, dimension, linear maps, matrices determinants, linear equations. Bilinear forms; inner product spaces; spectral theory; eigenvalues. Modules over a principal ideal domain; finitely generated abelian groups; Jordan and rational canonical forms for a linear transformation. Typically offered Fall Spring. View Class Schedule
	MA 55600 - Introduction To The Theory Of Numbers Prerequisite(s): MA 26100 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Divisibility, congruences, quadratic residues, Diophantine equations, the sequence of primes. Typically offered Fall Spring Summer. View Class Schedule
	MA 56000 - Fundamental Concepts Of Geometry Prerequisite(s): MA 26100 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Foundations of Euclidean geometry, including a critique of Euclid’s “Elements” and a detailed study of an axiom system such as that of Hilbert. Independence of the parallel axiom and introduction to non-Euclidean geometry. Typically offered Fall Spring Summer. View Class Schedule
	MA 56200 - Introduction To Differential Geometry And Topology Credit Hours: 3.00. Smooth manifolds; tangent vectors; inverse and implicit function theorems; submanifolds; vector fields; integral curves; differential forms; the exterior derivative; DeRham cohomology groups; surfaces in E3., Gaussian curvature; two dimensional Riemannian geometry; Gauss-Bonnet and Poincare theorems on vector fields. Typically offered Fall. View Class Schedule
	MA 57100 - Elementary Topology Prerequisite(s): MA 44600 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Fundamentals of point set topology with a brief introduction to the fundamental group and related topics, topological and metric spaces, compactness, connectedness, separation properties, local compactness, introduction to function spaces, basic notions involving deformations of continuous paths. Typically offered Fall. View Class Schedule
	MA 58100 - Introduction To Logic For Teachers Prerequisite(s): MA 26100 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Sentential and general theory of inference and nature of proof: elementary axiom systems. Typically offered Fall Spring Summer. View Class Schedule
	MA 58300 - History Of Elementary Mathematics Credit Hours: 3.00. A survey of elementary mathematics before calculus. An effort will be made to link the history of mathematics to that of other sciences and to the social history of the relevant periods. Some acquaintance with ancient or medieval history of Europe is desirable. Typically offered Fall Spring Summer. View Class Schedule
	MA 58700 - General Set Theory Prerequisite(s): MA 45300 FOR LEVEL UG WITH MIN. GRADE OF C- Credit Hours: 3.00. Set algebra; functions and relations; ordering relations; transfinite induction; cardinal and ordinal numbers; the axiom of choice; maximal principles; the continuum hypothesis; the axiom of constructibility; applications to algebra, analysis, and topology. Typically offered Fall Spring Summer. View Class Schedule
	MA 59800 - Topics In Mathematics Credit Hours: 1.00 to 5.00. Supervised reading courses as well as dual-level special topics courses are given under this number. Permission of instructor required. Typically offered Fall Spring Summer. View Class Schedule

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Course Descriptions

Schedule Type Classifications

MA 10000 - An Introduction To Mathematical Sciences

MA 11100 - Algebra

MA 11500 - Intermediate Algebra

MA 12301 - Mathematical Ideas

MA 13700 - Mathematics For Elementary Teachers I

MA 13800 - Mathematics For Elementary Teachers II

MA 13900 - Mathematics For Elementary Teachers III

MA 14700 - Algebra And Trigonometry For Technology

MA 14800 - Algebra And Trigonometry For Technology II

MA 15200 - College Algebra

MA 15300 - College Algebra

MA 15400 - Trigonometry

MA 15900 - Precalculus

MA 15910 - Introduction To Calculus

MA 16019 - Applied Calculus I For Technology

MA 16021 - Applied Calculus II And Differential Equations

MA 16031 - Calculus I For Life Sciences

MA 16032 - Calculus II For Life Sciences

MA 16100 - Plane Analytic Geometry And Calculus I

MA 16200 - Plane Analytic Geometry And Calculus II

MA 16300 - Integrated Calculus Analysis Geometry I

MA 16400 - Integrated Calculus Analysis Geometry Il

MA 16700 - Plane Analytical Geometry & Calculus I

MA 16900 - Plane Analytical Geometry And Calculus II

MA 20500 - Discrete Mathematics For Computer Technology

MA 21300 - Finite Mathematics I

MA 22300 - Introductory Analysis I

MA 22400 - Introductory Analysis II

MA 23700 - Advanced Topics In Mathematics For Elementary School Teachers I

MA 23800 - Advanced Topics In Mathematics For Elementary School Teachers II

MA 23900 - Advanced Topics In Mathematics For Elementary School Teachers III

MA 26100 - Multivariate Calculus

MA 26200 - Linear Algebra And Differential Equations

MA 26400 - Differential Equations

MA 26500 - Linear Algebra

MA 30303 - Internship In Mathematical Sciences

MA 31200 - Probability

MA 31500 - Introduction To Abstract Mathematics

MA 33000 - Concepts In Geometry

MA 34500 - Coding And Information Theory

MA 34800 - Discrete Mathematics

MA 35100 - Elementary Linear Algebra

MA 37700 - Computational Mathematics I

MA 37800 - Computational Mathematics II

MA 40100 - Problem Solving In Mathematics

MA 40300 - Mathematical Research

MA 44600 - Introduction to Real Analysis

MA 45300 - Elements Of Algebra I

MA 47200 - Introduction To Applied Mathematics

MA 48000 - The Practicum In Applied Mathematics

MA 49000 - Topics In Mathematics For Undergraduates

MA 51000 - Vector Calculus

MA 52000 - Boundary Value Problems Of Differential Equations

MA 52100 - Introduction To Optimization Problems

MA 52500 - Introduction To Complex Analysis

MA 53200 - Elements Of Stochastic Processes

MA 54000 - Analysis I

MA 54100 - Analysis II

MA 55300 - Introduction To Abstract Algebra

MA 55400 - Linear Algebra

MA 55600 - Introduction To The Theory Of Numbers

MA 56000 - Fundamental Concepts Of Geometry

MA 56200 - Introduction To Differential Geometry And Topology

MA 57100 - Elementary Topology

MA 58100 - Introduction To Logic For Teachers

MA 58300 - History Of Elementary Mathematics

MA 58700 - General Set Theory

MA 59800 - Topics In Mathematics