Mar 29, 2024  
2015-2016 Undergraduate Catalog 
    
2015-2016 Undergraduate Catalog [ARCHIVED CATALOG]

Course Descriptions


 
  
  • MAT 100 - Mathematics and Applications


    Topics in Mathematics:  Introduction to Calculus

    A three-credit introduction to calculus primarily intended for students in business, life sciences, or social sciences.  The focus is on concepts and applications, utilizing numerical, graphical and algebraic approaches and uses of technology. Topics include functions (algebraic, exponential, and logarithmic), and an overview of differential and integral calculus.  Credit is not given for both this course and MAT126.

    Prerequisites: A grade of C or better in MAT 111, or no grade record in MAT 111 and a passing score on Part 2 of the Math Placement Exam

    Credits: 3

  
  • MAT 101 - The Nature and Language of Mathematics


    An opportunity for non-science majors to broaden their understanding of mathematics and to examine the connections between mathematics and other areas of human understanding.  Specific topics may vary from semester to semester and are chosen to provide students with the opportunity to explore, through inquiry and discovery, the development, structure, and application of mathematical systems.

    General Education Requirements: Satisfies the General Education Quantitative Literacy Requirement.

    Course Typically Offered: Fall, Spring, Summer

    Credits: 3
  
  • MAT 103 - Elementary Algebraic Models in Our World


    An introduction to the applications of algebra with a focus on data analysis and model building.  Topics include graphs, algebraic equations and functions.  Primary attention will be given to using linear, quadratic and exponential functions to represent and interpret real world applications.

    General Education Requirements: Satisfies the General Education Quantitative Literacy Requirement.

    Course Typically Offered: Fall, Spring, Summer

    Credits: 3
  
  • MAT 107 - Elementary Descriptive Geometry


    Designed to prepare students to teach the geometry included in a modern NCTM STANDARDS based K-8 curriculum. Emphasis will be on geometric exploration activities, problem solving and informal deductive reasoning using many of the manipulatives used to teach geometric concepts in grades K-8.

    General Education Requirements: Satisfies the General Education Quantitative Literacy Requirement.

    Prerequisites: High school geometry required.  Elementary Education, Child Development-Early Childhood Education, and Art Education majors only.

    Course Typically Offered: Fall, Spring, Summer

    Credits: 3
  
  • MAT 108 - Elementary Numerical Mathematics From A Modern Perspective


    Designed to prepare students to teach the non-geometric mathematics included in a modern NCTM STANDARDS based K-8 curriculum. Emphasis will be on the structure of arithmetic, development of good number sense, basic number theory, understanding probability and the use of descriptive statistics. Focuses on problem solving, and the development of arithmetic and algebraic reasoning skills.

    General Education Requirements: Satisfies the General Education Quantitative Literacy Requirement.

    Prerequisites: Elementary Education, Child Development-Early Childhood Education, and Art Education majors only.

    Course Typically Offered: Fall, Spring, Summer

    Credits: 3
  
  • MAT 111 - Algebra for College Mathematics


    This course covers the basic topics in algebra needed to enter a mathematics course at the precalculus level. The covered topics include a brief review of the real number system (including absolute value, exponents, roots, and radicals), linear equations and inequalities, quadratic equations, graphs, functions (primarily linear and other polynomial), factoring, rational and radical expressions. Optional topics include systems of equations, variation, exponential and logarithmic functions.

    General Education Requirements: Note: This course does not satisfy the General Education in Mathematics Requirement.

    Prerequisites: Adequate performance on Mathematics Placement Exam.

    Course Typically Offered: Fall, Spring, Summer

    Credits: 3
  
  • MAT 115 - Applied Mathematics for Business and Economics


    Topics in discrete mathematics, finite mathematics, and calculus with applications to business and economics.  Topics include linear functions and regressions, the mathematics of finance, probability, and differential calculus.

    General Education Requirements: Satisfies the General Education Quantitative Literacy Requirement.

    Prerequisites: A grade of C or better in MAT 111, or no grade record in MAT 111 and a passing score on Part 2 of the Math Placement Exam.

    Course Typically Offered: Fall, Spring, Summer

    Credits: 3
  
  • MAT 122 - Pre-Calculus


    Designed as a transitional course between high school algebra and college mathematics, particularly calculus.  Topics include a detailed study of polynomial, rational, exponential, logarithmic and trigonometric functions, stressing ideas needed by those who will take calculus.

    General Education Requirements: Satisfies the General Education Quantitative Literacy Requirement.

    Prerequisites: A grade of C or better in MAT 111, or no grade record in MAT 111 and a passing score on Part 2 of the Math Placement Exam.

    Course Typically Offered: Fall, Spring, Summer

    Credits: 4
  
  • MAT 126 - Calculus I


    An introduction to calculus for students in mathematics, engineering, and the sciences. Covers the differential calculus of the algebraic, trigonometric, exponential and logarithmic functions, concluding with the definite integral and the fundamental theorem of calculus. The approach is intuitive and geometric, with emphasis on understanding the basic concepts of function, limit, derivative and integral.

    General Education Requirements: Satisfies the General Education Quantitative Literacy Requirement.

    Prerequisites: A grade of C or better in MAT 122, or no grade record in MAT 122 and a passing score on Part 3 of the Math Placement Exam.

    Course Typically Offered: Fall, Spring, Summer

    Credits: 4
  
  • MAT 127 - Calculus II


    Completes the study of single-variable calculus. Topics covered include inverse trigonometric functions, hyperbolic functions, methods of integration, improper integrals, indeterminate forms, parametric equations, polar coordinates and infinite series.

    General Education Requirements: Satisfies the General Education Quantitative Literacy Requirement.

    Prerequisites: A grade of C or better in MAT 126.

    Course Typically Offered: Fall, Spring, Summer

    Credits: 4
  
  • MAT 228 - Calculus III


    For students of mathematics, engineering and the sciences. Vector algebra, geometry and calculus; multivariable differential and integral calculus, including the theorems of Gauss, Green and Stokes.

    Prerequisites: A grade of C or better in MAT 127.

    Course Typically Offered: Fall, Spring, Summer

    Credits: 4
  
  • MAT 258 - Introduction to Differential Equations with Linear Algebra


    An introduction to elementary linear algebra and ordinary differential equations including applications. NOTE:Because of overlap, MAT 258 and MAT 259 cannot both be taken for degree credit. (Not open to students who have already taken MAT 262 or MAT 259.)

    Prerequisites: A grade of C or better in MAT 127.

    Course Typically Offered: Fall, Spring, Summer

    Credits: 4
  
  • MAT 259 - Differential Equations


    The theory and applications of ordinary differential equations for science and mathematics students intending to take further courses in applied mathematics. NOTE: Students planning to take MAT 262 or MAT 453 should choose MAT 259 instead of MAT 258. Because of overlap, MAT 258 and MAT 259 cannot both be taken for degree credit.

    Prerequisites: A grade of C or better in MAT 228.

    Course Typically Offered: Fall & Spring

    Credits: 3
  
  • MAT 261 - Introduction to Abstract Mathematics


    Topics covered typically include logic, basic set theory, relations and functions, sequences, limits, cardinality, and algebraic and geometric structures, but may vary somewhat with the instructor. Class size will remain small, not to exceed 20 students. The goal is to enable students to read, critique, construct, and write mathematical proofs. At least 40% of the student’s grade will be based on the quality of written work. Written assignments must present mathematical arguments in a clear, logical manner, using standard mathematical notation as well as correct English grammar, spelling, and punctuation. Students will be given considerable coaching and feedback with preliminary drafts so that submitted final versions of their work will be of acceptable quality.

    General Education Requirements: Satisfies the General Education Writing Intensive Requirement.

    Prerequisites: A grade of C or better in MAT 127 or permission.

    Course Typically Offered: Fall & Spring

    Credits: 3
  
  • MAT 262 - Linear Algebra


    An introduction to matrices, systems of linear equations, linear transformations, determinants, vector spaces, orthogonality, eigenvalues and eigenvectors, with applications. Some use will be made of mathematical software. NOTE: Because of overlap, MAT 258 and MAT 262 cannot both be taken for degree credit.

    Prerequisites: A grade of C or better in MAT 127.

    Course Typically Offered: Fall & Spring

    Credits: 3
  
  • MAT 300 - Topics in Mathematics


    Topics in mathematics not regularly covered in other courses. Content varies to suit current needs. May be repeated for credit.

    Prerequisites: Permission of department.

    Course Typically Offered: Not Regularly Offered

    Credits: 1-3
  
  • MAT 305 - Mathematics for Secondary School Teachers


    Intended for prospective teachers of secondary school mathematics. MAT 305 satisfies the state certification requirements for a methods course. Topics covered include issues and problems in mathematics education, classroom management and selected topics in mathematics pertinent to the secondary curriculum.

    Prerequisites: permission of instructor; open to prospective secondary teachers only.

    Course Typically Offered: Fall

    Credits: 3
  
  • MAT 329 - Problems Seminar II


    Problem-solving in selected areas of mathematics. Material will be taken from various problem books, competitions and mathematical periodicals. Recommended for students who wish to participate in the annual Putnam competition. May be repeated for credit.

    Prerequisites: A grade of C or better in MAT 261 or permission.

    Course Typically Offered: Fall

    Credits: 1
  
  • MAT 400 - Topics in Mathematics


    Topics in mathematics not regularly covered in other courses. Content varies to suit current needs. May be repeated for credit.

    Prerequisites: Permission of department.

    Course Typically Offered: Variable

    Credits: 1-3
  
  • MAT 401 - Capstone Seminar in Mathematics


    Required of all mathematics and statistics majors. Students will be asked to draw upon and integrate their mathematics course work by exploring mathematical topics in their historical and scientific context. Students are expected to exhibit innovative problem-solving and thoughtful writing. Each student will be required to write a paper on the topic under investigation and to present the results in a colloquium talk to the class.

    General Education Requirements: Satisfies the General Education Capstone Experience Requirement.

    Prerequisites: A grade of C or better in MAT 261, MAT 262 and senior standing.

    Course Typically Offered: Spring

    Credits: 3
  
  • MAT 425 - Introduction to Real Analysis I


    A study of functions of a real variable and the related topology of the real line. Concepts of limit, convergence, continuity and differentiability are studied.

    Prerequisites: A grade of C or better in MAT 228 and MAT 261.

    Course Typically Offered: Fall & Spring

    Credits: 3
  
  • MAT 426 - Introduction to Real Analysis II


    A continuation of MAT 425 emphasizing integration and sequences and series of functions. Contents may vary from year to year.

    Prerequisites: A grade of C or better in MAT 425.

    Course Typically Offered: Not Regularly Offered

    Credits: 3
  
  • MAT 445 - History of Mathematics


    Deals with the lives and times of mathematicians, while focusing on mathematical ideas. Designed to acquaint the student with the evolution of various mathematical disciplines and to develop an appreciation of the problems faced by and often solved by mathematicians.

    Prerequisites: A grade of C or better in MAT 127 or Department permission.

    Course Typically Offered: Spring

    Credits: 3
  
  • MAT 451 - Dynamical Systems


    A study of the nature and behavior of solutions of linear and nonlinear systems of differential and difference equations through mathematical analysis and the use of available menu-driven PC software. For students in mathematics and the sciences. Some knowledge of vectors and matrices and some familiarity with personal computers is recommended.

    Prerequisites: A grade of C or better in MAT 258 or MAT 259 or permission.

    Course Typically Offered: Not Regularly Offered

    Credits: 3
  
  • MAT 452 - Complex Analysis


    An introduction to functions of complex variables including differentiation, integration, series, mappings and applications.

    Prerequisites: A grade of C or better in MAT 228.

    Course Typically Offered: Variable

    Credits: 3
  
  • MAT 453 - Partial Differential Equations I


    Introduction to general properties of partial differential equations followed by solutions of specific equations. Techniques include eigen function expansions, operational methods, and Green’s functions.

    Prerequisites: A grade of C or better in MAT 259 or permission.

    Course Typically Offered: Fall

    Credits: 3
  
  • MAT 454 - Partial Differential Equations II


    A continuation of MAT 453.

    Prerequisites: A grade of C or better in MAT 453.

    Course Typically Offered: Variable

    Credits: 3
  
  • MAT 463 - Introduction to Abstract Algebra I


    A study of algebraic systems characterized by specific axiom systems. Begins with a study of sets theory, functions, and operations, and continues with topics selected from group theory, ring theory, and linear algebra.

    Prerequisites: A grade of C or better in MAT 261 and MAT 262.

    Course Typically Offered: Fall

    Credits: 3
  
  • MAT 464 - Introduction to Abstract Algebra II


    A continuation of MAT 463, with emphasis on properties of rings and fields and culminating in Galsis Theory.

    Prerequisites: A grade of C or better in MAT 463.

    Course Typically Offered: Spring

    Credits: 3
  
  • MAT 465 - Theory of Numbers


    Elementary properties of integers including divisibility, prime and composite numbers, uniqueness of prime factorization, Diophantine equations, congruences and continued fractions.

    Prerequisites: A grade of C or better in MAT 261 or permission.

    Course Typically Offered: Spring

    Credits: 3
  
  • MAT 471 - Differential Geometry


    The application of multivariable calculus to the study of curves, surfaces and their higher-dimensional analogues.

    Prerequisites: A grade of C or better in MAT 228 and in either MAT 258 or MAT 262.

    Course Typically Offered: Not Regularly Offered

    Credits: 3
  
  • MAT 475 - Higher Geometry


    Topics include: constructions, Euclidean properties, Ceva’s and Menelaus’ theorems with applications–Desargues’, Pappus’ and Pascal’s theorems, isometries, axiometric approach to one of the geometries, algebraic models for geometry, Klein’s Erlanger program, classical construction problems.

    Prerequisites: A grade of C or better in MAT 228 or permission.

    Course Typically Offered: Fall

    Credits: 3
  
  • MAT 481 - Discrete Mathematics


    Primarily designed for both mathematics and computer science majors. While the calculus-based mathematics of classical engineering and physical science is essentially “continuous,” the finite mathematics of computer science and some social sciences is essentially “discrete” or “combinatorial.” MAT 481 is an introductory course offered in this spirit. Topics covered typically include graphs and networks, analysis of algorithms, generating functions and recurrence relations, graph coloring, satisfiability, computational complexity, automata and languages, Turing machines and computability, and a brief introduction to the theory of NP-completeness.

    Prerequisites: A grade of C or better in MAT 261 or MAT 262 or Department permission.

    Course Typically Offered: Fall

    Credits: 3
  
  • MAT 486 - Biological Modeling and Simulation


    Mathematical and computational models primarily from population biology and epidemiology, including deterministic and stochasitc, discrete- and continuous-time, and spatial and network models.  A software package such as Matlab or R will be used for simulations and visualization, and for additional topics such as vectorized calculations, function optimization, and differential equation solvers, which have a wide variety of applications in the sciences and engineering.  Some basic familiarity with probability is recommended.

    Prerequisites: Permission

    Credits: 3
  
  • MAT 487 - Numerical Analysis


    An introduction to computational methods for solving numerical problems.  Topics such as interpolation, systems of linear or nonlinear equations, numerical integration, eigenvalues, optimization, ordinary and partial differential equations are considered.

    Prerequisites: A grade of C or better in MAT 127 or permission.

    Course Typically Offered: Variable

    Credits: 3
  
  • STS 215 - Introduction to Statistics for Business and Economics


    For students in the College of Business, Public Policy and Health and for others concentrating in business or economics. A limited introduction to probability theory leading to discussion of distributions of random variables, in particular the normal and binomial families; a brief treatment of descriptive methods; an introduction to inferential statistics, including one- and two-sample procedures for estimation of parameters and for hypothesis testing; fundamentals of regression analysis or contingency table analysis or contingency table analysis as time permits. NOTE: because of overlap, STS 232 and STS 215 cannot both be taken for degree credit.

    General Education Requirements: Satisfies the General Education Quantitative Literacy Requirement.

    Prerequisites: A grade of C or better in MAT 115.

    Course Typically Offered: Fall, Spring, Summer

    Credits: 3
  
  • STS 232 - Principles of Statistical Inference


    Intended for students who will use statistics as an aid to the comprehension of quantitative work done by others and for students who will follow this course by an intermediate level applied statistics course. An introduction to the language and methods of statistical analysis, probability, graphic and numeric descriptive methods and inference from sample data. NOTE: because of overlap, MAT 232 and MAT 215 cannot both be taken for degree credit.

    General Education Requirements: Satisfies the General Education Quantitative Literacy Requirement.

    Prerequisites: Two years of high school math required.

    Course Typically Offered: Fall, Spring, Summer

    Credits: 3
  
  • STS 332 - Statistics for Engineers


    Statistical methods applicable to engineering including theory and application of classical and nonparametric methods.

    Prerequisites: A grade of C or better in MAT 228.

    Course Typically Offered: Fall & Spring

    Credits: 3
  
  • STS 434 - Introduction to Statistics


    Topics include probability, random variables, continuous and discrete distributions, point and interval estimation, tests of hypotheses, linear regression and correlation, analysis of variance.

    Prerequisites: A grade of C or better in MAT 228.

    Course Typically Offered: Fall & Spring

    Credits: 4
  
  • STS 435 - Introduction to Mathematical Statistics


    Topics include moment generating functions, distribution of functions of random variables, sampling distributions, principles of estimation and hypothesis testing, limit theorems and order statistics.

    Prerequisites: A grade of C or better in STS 434.

    Course Typically Offered: Spring

    Credits: 3
  
  • STS 436 - Nonparametric Statistics


    Surveys nonparametric alternatives to standard parametric techniques. Emphasis on situations in which the use of a parametric technique is incorrect or, at best, marginal.

    Prerequisites: A grade of C or better in STS 434 or STS 437.

    Course Typically Offered: Spring, Odd Years

    Credits: 3
  
  • STS 437 - Statistical Methods in Research


    An introduction to analysis of variance and regression analysis using a unifying approach to theory; application and illustrations from many fields.

    Prerequisites: A grade of C or better in STS 232 or STS 434 or Department permission.

    Course Typically Offered: Fall

    Credits: 3