Mathematics Course Information
MATH-K 300 Statistical Techniques (3 cr)
An introduction to statistics. Nature of statistical data; ordering and manipulation of data; measures of central tendency and dispersion; elementary probability. Concepts of statistical inference decision; estimation and hypotheses testing. Special topics discussed may include regression and correlation, analysis of variance, non-parametric methods. Credit given for only one of the following: MATH K300, MATH K310, PSY K300, PSY K310, ECON E270, SPEA K300. Not distribution satisfying. Offered fall and spring semesters.
- Prerequisite: M123
- Suggested prerequisite: M118
MATH-M 110 Excursions into Mathematics (3 cr)
A course designed to convey the flavor and spirit of mathematics, stressing reasoning and comprehension rather than technique. Not preparatory to other courses; explores topics in the theory of games, probability, and statistics. This course does not count toward a major in mathematics. Offered every fall and spring semesters.
- Prerequisite: Appropriate placement on skills review, or High School Algebra
MATH-M 118 Finite Mathematics (3 cr)
Set theory, linear systems, matrices and determinants, probability, and linear programming. Applications to problems from business and the social sciences. Offered every semester.
- Prerequisite: Appropriate placement on skills review or M123
MATH-M 119 Brief Survey of Calculus I (3 cr)
An introduction to calculus primarily for students in business and the social sciences. Credit not given for both M119 and M215. Offered every semester.
- Prerequisite: Appropriate placement on skills review or M125, Pre-calculus Mathematics.
MATH-M 120 Brief Survey of Calculus II (3 cr)
A continuation of M119 covering topics in elementary differential equations, calculus of functions of several variables, and infinite series. Intended for non-physical science students. Credit not given for both M216 and M120. Offered periodically.
- Prerequisite: M119
MATH-M 123 College Algebra (4 cr)
Designed to prepare you for M125. Algebraic operations; polynomial, exponential, and logarithmic functions and their graphs; conic sections; systems of equations; and inequalities. Not distribution satisfying. Offered every semester. (New course - beginning fall of 2009.)
- Prerequisite: Appropriate placement on skills exam or High School Algebra.
MATH-L 123 College Algebra Laboratory (2 cr)
Designed to prepare you for M125. Laboratory component to be taken concurrently with M123. (See course description above.) Not distribution satisfying. Offered every semester. (New course - beginning fall of 2009.)
- Corequisite: M123.
MATH-M 125 Pre-Calculus Mathematics (3 cr)
Designed to prepare you for M215. Algebraic operations; polynomial, exponential, and logarithmic functions and their graphs; conic sections; systems of equations; and inequalities. Not distribution satisfying. Offered every semester.
- Prerequisite: Appropriate placement on skills exam or M123.
MATH-M 126 Trigonometric Functions (2 cr)
Designed to prepare you for M215. Trigonometric functions; identities. Graphs of trigonometric and inverse trigonometric functions. Not distribution satisfying. Offered every semester.
- Prerequisite: M125 or equivalent (may be taken concurrently).
MATH-M 215 Analytic Geometry and Calculus I (5 cr)
Coordinates, functions, straight lines, limits, continuity, derivatives, definite integral, applications, circles, conics, techniques of integration, and infinite series. Credit not given for both M119 and M215, or M120 and M216. Offered yearly.
- Prerequisite: Appropriate placement on skills review or both M125 and M126.
MATH-M 216 Analytic Geometry and Calculus II (5 cr)
Coordinates, functions, straight lines, limits, continuity, derivatives, definite integral, applications, circles, conics, techniques of integration, and infinite series. Credit not given for both M119 and M215, or M120 and M216. Offered yearly.
- Prerequisite: Appropriate placement on skills review or both M125 and M126.
MATH-M 295 Readings and Research (1-3 cr)
Supervised problem solving. Offered periodically.
- Prerequisite: Permission of a member of the mathematics faculty, who will act as supervisor.
MATH-M 301 Applied Linear Algebra (3 cr)
Emphasis on applications: systems of linear equations, vector spaces, linear transformations, matrices, simplex method in linear programming. Computer used for applications. Credit not given for both M301 and M303. Offered periodically.
- Prerequisite: M216 or consent of instructor.
MATH-M 303 Linear Algebra for Undergraduates (3 cr)
Introduction to theory of real and complex vector spaces. Coordinate systems, linear dependence, and bases. Linear transformations and matrix calculus. Determinants and rank. Credit not given for both M301 and M303. Offered periodically.
- Prerequisite: M216 or consent of instructor.
MATH-M 311 Calculus III (3 cr)
Elementary geometry of 2, 3, and n-space, functions of several variables, partial differentiation, minimum and maximum problems, and multiple integration. Offered periodically.
- Prerequisite: M216 or consent of instructor.
MATH-M 312 Calculus IV (3 cr)
Differential calculus of vector-valued functions, transformation of coordinates, change of variables in multiple integrals. Vector integral calculus: line integrals, Green’s theorem, surface integrals, Stokes’s theorem. Applications. Offered periodically.
- Prerequisite: M311
MATH-M 313 Elementary Differential Equations with Applications (3 cr)
Ordinary differential equations of first order and linear equations of higher order with applications, series solutions, operational methods, Laplace transforms, and numerical techniques. Offered spring of odd years.
- Prerequisite: M216 or consent of instructor.
MATH-M 366 Elements of Statistical Inference (3 cr)
Sampling distributions (chi-square, T and F distributions), order statistical decisions and inference. Hypothesis-testing concepts, Neyman-Pearson lemma, likelihood ratio tests, power of tests. Point estimation, method of moments, maximum likelihood, Cramer-Rao bound, properties of estimators. Regression, correlation, analysis of variance, non-parametric methods. Offered periodically.
- Prerequisite: M360 or consent of instructor.
MATH-M 371 Elementary Computational Methods (3 cr)
Interpolation and approximation of functions, solution of equations, numerical integration, and differentiation. Errors, convergence, and stability of the procedures. You will write and use programs applying numerical methods. Offered periodically.
- Prerequisite: M216 and CSCI C301 or equivalent, or consent of instructor.
MATH-M 380 History of Mathematics (3 cr)
Brief study of the development of algebra and trigonometry; practical, demonstrative, and analytic geometry; calculus, famous problems, calculating devices; famous mathematicians in these fields and chronological outlines in comparison with outlines in the sciences, history, philosophy, and astronomy. Not distribution satisfying. Offered periodically.
- Prerequisite: M215 or consent of instructor.
MATH-M 393 Bridge to Abstract Mathematics (3 cr)
Preparation for 400 level math courses. Teaches structures and strategies of proofs in a variety of mathematical settings: logic, sets, combinatorics, relations and functions and abstract algebra.
- Prerequisite: Math M216 or consent of instructor.
MATH-M 403 Introduction to Modern Algebra I (3 cr)
Study of groups, rings, fields (usually including Galois theory), with applications to linear transformations. Offered periodically.
- Prerequisite: M301 or M303, M391 or consent of instructor.
MATH-M 404 Introduction to Modern Algebra II (3 cr)
Study of groups, rings, fields (usually including Galois theory), with applications to linear transformations. Offered periodically.
- Prerequisite: M301 or M303, M391 or consent of instructor.
MATH-M 405 Number Theory (3 cr)
Numbers and their representation, divisibility and factorization, primes and their distribution, number theoretic functions, congruencies, primitive roots, diophantine equations, quadratic residues, and sums of squares.
- Prerequisite: M216 or consent of instructor.
MATH-M 406 Topics in Mathematics (3 cr)
Selected topics in various areas of mathematics which are not covered by the standard courses. May be repeated for credit. Offered periodically.
MATH-M 413 Introduction to Analysis I-II (3-3cr)
Modern theory of real number system, limits, functions, sequences and series, Riemann-Stieltjes integral, and special topics. Offered periodically.
- Prerequisite: M301 or M303, and M311, or consent of instructor.
MATH-M 414 Introduction to Analysis I-II (3-3cr)
Modern theory of real number system, limits, functions, sequences and series, Riemann-Stieltjes integral, and special topics. Offered periodically.
- Prerequisite: M301 or M303, and M311, or consent of instructor.
MATH-M 421 Introduction to Topology I (3 cr)
Introduction to point set topology with emphasis on metric spaces. Continuity, Cartesian products, connectedness, compactness, completeness. Elements of homotopy theory, fundamental group and covering spaces, elementary homology theory, applications to simplicial complexes and manifolds. M421 offered spring 2006 and every forth spring thereafter.
- Prerequisite: M303 and M311
MATH-M 422 Introduction to Topology II (3 cr)
Introduction to point set topology with emphasis on metric spaces. Continuity, Cartesian products, connectedness, compactness, completeness. Elements of homotopy theory, fundamental group and covering spaces, elementary homology theory, applications to simplicial complexes and manifolds.
- Prerequisite: M303 and M311
MATH-M 447 Mathematical Models and Applications I (3 cr)
Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth. Offered periodically.
- Prerequisites: M301 or M303, M311, and a course in probability or consent of instructor.
MATH-M 448 Mathematical Models and Applications II (3 cr)
Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth. Offered periodically.
- Prerequisites: M301 or M303, M311, M360 or M365, which may be taken concurrently or consent of instructor.
Mathematics for Educators
MATH-T 101 Mathematics for Elementary Teachers I (3 cr)
Elements of set theory. Operations on counting numbers, integers, rational numbers, and real numbers. Open only to elementary education majors. Not distribution satisfying. Offered fall and spring semesters.
- Prerequisite: Advanced algebra or equivalent, as determined by placement exam scores.
MATH-T 102 Mathematics for Elementary Teachers II (3 cr)
Sets, operations, and functions. Prime numbers and elementary number theory. Elementary combinatorics, probability, and statistics. Only open to elementary education majors. Not distribution satisfying. Offered spring and summer semesters.
- Prerequisite: T101
MATH-T 103 Mathematics for Elementary Teachers III (3 cr)
Descriptions and properties of basic geometric figures. Rigid motions. Axiomatics. Measurement, analytic geometry, and graphs of functions. Discussion of modern mathematics. Open only to elementary education majors. Not distribution satisfying. Offered fall semesters.
- Prerequisite: T101
MATH-T 321 Intuitive Topology (3 cr)
Intuitive description of topology, including networks and maps, topological equivalence, classification of surfaces, spheres with handles, Jordan curve theorem, transformations, and fixed-point theorems. Offered periodically.
- Prerequisite: M216 or consent of instructor.
MATH-T 336 Topics in Euclidean Geometry (3 cr)
Axiom systems for the plane; the parallel postulate and non-Euclidean geometry; classical theorem. Geometric transformation theory; vectors and analytic geometry; convexity; theory of area and volume. Offered periodically.
- Prerequisite: M216 or consent of instructor.
