MAT 100 Basic Algebra Fundamentals
An extensive review of basic algebraic operations with integers, fractional expressions, polynomial expressions and radical expressions. An introduction to solution procedures for fi rst and second degree equations. Note: Permission to enroll in this course is based on the results of mathematics placement testing. 3 credits
MAT 106 Introduction to Statistics
An introduction to the concepts of frequency distributions, averages, variability, normal curves, correlation, hypothesis testing, and other topics with applications to business and social sciences. Note: This course does not satisfy any university core requirements. 3 credits
MAT 109 Freshman Seminar in Mathematics
A seminar course to prepare students majoring in Mathematics to take primary responsibility for developing an academic plan which meets the demands of their educational and career goals. Students are made aware of the academic expectations of both the University and their major program in parallel with the divisional and University-wide resources available to assist them in meeting these expectations. Students will also begin to explore experiences/resources beyond the University classroom/campus that will enrich their education and enhance their opportunity for success. Restricted to first-year students majoring in Mathematics. Grading is on a pass/fail basis. 1 credit
MAT 110 College Algebra
A review and summary of properties of algebraic functions. Solutions of equations and inequalities. Study of the algebra, behavior and graphs of functions in a liberal arts context. This course is not a preparation for the study of calculus, see MAT 150. Prerequisite: Demonstrated readiness for LAI Mathematics by placement or completion of MAT 100. Approved for LAI Mathematics (M). 3 credits
MAT 115 Basic Applied Statistics
A study of the ideas and tools of practical statistics using data in context. Methods and strategies for exploring data graphically and quantitatively. Statistical reasoning and the tools of inference that go beyond the data to draw conclusions about a wider population with attention paid to the uncertainty of these conclusions. Students will conduct standard one and two sample statistical analyses. Prerequisite: CC 102 and demonstrated readiness for LAI Mathematics by placement or completion of MAT 100. Approved for LAI Mathematics (M) and Q skills integration. 3 credits
MAT 150 Precalculus
A study of algebraic, exponential, logarithmic, and trigonometric functions in preparation for the study of calculus. Topics include: properties of algebraic expressions, solution of algebraic equations and inequalities, graphs and properties of algebraic and transcendental functions, solution of transcendental equations. Prerequisite: Demonstrated readiness for LAI mathematics by placement or completion of MAT 100. Approved for LAI Mathematics (M). 3 credits
MAT 151 Computer Applications for Science and Mathematics
An introduction to the practical application of computer hardware and software to problems in the sciences and mathematics. Topics include basics like using a graphical user interface and common offi ce applications. More advanced topics include computer interfacing to instruments, mathematical modeling, curve fi tting, molecular modeling, and others. No computer background is assumed. Three hours lecture/workshop/demonstration weekly. Also listed as CHM 151 and BIO 151. Prerequisite: CHM 111, BIO 110 or PCS 221; MAT 152; CC100, 101, 102. Approved for Q and T skills integration and also as Interdisciplinary course. 3 credits
MAT 152 Calculus I
An introduction to differential calculus and its applications to the natural sciences and business. Prerequisite: Placement or MAT 150. Approved for LAI Mathematics (M). 3 credits
MAT 200 Calculus II
A continuation of differential calculus including an examination of related rates and other applications of the chain rule, graphing techniques, definition of the defi nite integral, techniques of integration for functions of one variable. Prerequisite: MAT 152. 3 credits
MAT 201 Calculus III
An examination of the properties of sequences and series. Taylor’s Theorem with remainder. Topics in analytic geometry, polar coordinates, vector analysis. Prerequisite: MAT 200. 3 credits
MAT 202 Calculus IV
An examination of vector-valued functions, parametric curves, differential calculus of several variables. Multiple integration. Theorems of Gauss, Green, Stokes. Prerequisite: MAT 201. 3 credits
MAT 300 Modern Algebra
A formal introduction to the construction of proof via the classical theory of finite groups. Properties of group morphisms are used to prove the Cayley, Cauchy, and Sylow Theorems. The concept of a ring is introduced as an abstraction of the integers. The rational numbers are constructed as a quotient field of the integers. Prerequisite: MAT 200. 3 credits
MAT 301 Probability and Statistics
An introduction to elementary probability theory, combinatorial analysis, random variable distribution functions, and discussion of the Law of Large Numbers and Central Limit Theorem. Prerequisite: MAT 200. 3 credits
MAT 302 Linear Algebra
An examination of properties of vectors and matrices. Solution of systems of linear equations, Gaussian elimination, and iterative techniques. Algorithms for determining inverses, determinants, eigenvalues, and eigenvectors. Prerequisite: MAT 200. 3 credits
MAT 303 Linear Programming
An introduction to linear programming techniques that solve real applied problems. The focus is on using linear programming techniques, applications, models, algorithms, and a computer software package to solve optimization, product-mix, transportation, scheduling, assignment and hiring-firing problems. Included in the methods learned are the revised simplex method, duality, sensitivity analysis, integer programming, and sparse matrix techniques. Prerequisite: MAT 200. 3 credits
MAT 308 Numerical Methods
An introduction to numerical techniques implemented on microcomputers to fi nd roots of equations, solutions to linear and nonlinear systems, and defi nite integrals. Prerequisites: MAT 200 and CSC 110. 3 credits
MAT 321 Applied Discrete Mathematics
A selection of topics from set theory, combinatorics, graph theory, algebra, and Boolean algebra, formal logic and computer science that are both useful and basic to students in applied mathematics, computer science and engineering. Formal mathematical proofs via induction, combinatorial arguments, truth tables and propositions, Russell’s Paradox, principle of inclusion and exclusion, the pigeonhole principle and analysis of algorithms. Countably and uncountably infi nite sets, generating functions, recurrence relations, and lattices. Prerequisites: MAT 152. 3 credits
MAT 325 Geometry
An examination of independence and completeness of axiomatic systems. Euclidean and non-Euclidean geometries, including fi nite and projective geometries. Construction of proofs in Euclidean geometry in two and three dimensions. Prerequisite: MAT 200. 3 credits
MAT 331 Differential Equations
An introduction to solvability techniques for separable, linear, and exact fi rst order equations. Methods of undetermined coeffi cients and variation of parameters. Laplace transform methods for systems with constant coeffi cients. Qualitative arguments and iterative methods. Prerequisite: MAT 200. 3 credits
MAT 340 Number Theory
An account of classical number theory as well as some of the historical background in which number theory evolved. Especially intended for prospective secondary teachers to provide familiarity with the number theory and basic concepts of mathematical proofs and reasoning. The division algorithm, the Euclidean algorithm, primes and their distribution, the theory of congruence, Mobius inversion, perfect numbers, the Fermat Conjecture and Fibonacci numbers. Prerequisite: MAT 200. 3 credits
MAT 399/401 Junior Seminar
An opportunity for junior mathematics majors to research current trends and topics of interest in an area of mathematics or engineering and present a seminar and paper devoted to this topic. Students work in conjunction with a faculty mentor. The course covers topics in scientific research and presentation. One hour of seminar per week. 1 credit each
MAT 400 Independent Study
An intensive, independent study of topics such as graph theory or the study of Mathematics using computer Algebra systems. By permission of instructor only. Prerequisite: MAT 302. 3 credits
MAT 402/403 Senior Experience
An independent, professional experience within the field of Mathematics, designed in consultation with a faculty mentor. May involve research, an internship, or an independent project. One hour of seminar per week, plus additional time as needed. 2 credits each |
