## Catalog • 2011-2012

#### Math Courses

##### MAT 102 College Mathematics - 3 credits

A nontechnical presentation of mathematical topics essential to the student of the arts, humanities or social sciences. The following are studied: elementary set theory, logic, number systems, probability and statistics and measurement and applications of mathematics to various disciplines. A scientific calculator is required. This course is appropriate for secondary education students (not math majors); some content is based on the Pre-Professional Skills Test in Mathematics (PRAXIS).

##### MAT 105 Mathematics for Business - 3 credits

Designed to meet the needs of the student pursuing a career in business. The course includes the following topics: linear equations and inequalities, systems of equations, matrices, simple and compound interest, annuities, amortization and an introduction to calculus. A scientific calculator is required. Prerequisite: Skill equivalent to Algebra II at the secondary level.

##### MAT 107 Mathematics for Health Care Professionals - 3 credits

An exploration of a wide range of mathematical applications to nursing and other health sciences. Topics include ratio and proportion, dimensional analysis, systems of measurement, calculations involving solutions and dilutions, medication and dosages. Medical applications in other areas of mathematics will also be explored; these may include set theory, arithmetic and geometric sequences, graphing, functions and formulas, exponential growth, logic and analogies, angle measurement applications, and mathematical analysis in medical journal publications. Critical thinking skills for solving problems that arise in the health care professions will be emphasized. While there is no prerequisite, a working knowledge of arithmetic operations using whole numbers, fractions, decimals, and percents is expected.

##### MAT 110 Probability and Statistics - 3 credits

An examination of the collection, organization, analysis and interpretation of data in the context of applications from such fields as business, education, political science, economics, psychology, sociology, nutrition and medicine. The importance of experimental design and sampling techniques are studied and stressed throughout the course. Elementary probability theory is introduced as well as the following theoretical distributions: binomial, normal, Student’s t, and chi-square. Linear regression techniques and correlation analysis are used to study bivariate populations. An algebra background is required as well as a scientific or statistical calculator. This course does not count for the mathematics major or minor.

##### MAT 140 Pre-Calculus - 3 credits

A basic algebra review of exponents, complex fractions, factoring, linear and quadratic equations, and inequalities. Functions are examined in depth both from a definitional and graphical perspective. Exponential and logarithmic functions, their graphs, and applications are reviewed/introduced. Basic trigonometric functions and identities are covered as well as their applications. The course is designed as a preparation for calculus. A TI-83 or higher graphing calculator is required.

##### MAT 141 Calculus I - 3 credits

Differential calculus: A brief review of precalculus topics, limits, continuity and the derivative with applications. A TI-83 or higher graphing calculator is required.

##### MAT 142 Calculus II - 3 credits

Integral calculus: A study of the definite and indefinite integral with applications; inverse functions with emphasis on exponential and logarithmic functions and applications; antidifferentiation techniques; approximate integration; and improper integrals. A TI-83 or higher graphing calculator required.

Prerequisite: C or better in MAT 141.

##### MAT 202 Mathematics for Elementary Education - 3 credits

Provides elementary education majors with experiences in becoming independent problem solvers while providing a solid foundation for teaching early mathematics. Topics include set theory, systems of numeration, number theory, properties of whole numbers, rational numbers, and real numbers, estimation, beginning geometry and measurement. Collaborative learning, discovery and refinement of presentation skills are stressed through in-class experiences. Traditional mathematical content is covered in the context of developing student competence with respect to the abilities outlined in the five process standards found in Principles and Standards for School Mathematics (National Council of Teachers of Mathematics, 2000): problem solving, reasoning and proof, communication, connections and representation.

##### MAT 210 Mathematical Statistics and Probability - 3 credits

A calculus based examination of the collection, organization, analysis and interpretation of data in the context of applications from such fields as business education, political science, economics, psychology, sociology, nutrition and medicine. The importance of experimental design and sampling techniques are studied and stressed throughout the course. Elementary probability theory and combinatorics are introduced as well as the following theoretical distributions: binomial, normal, Student’s t, and chi-square. Linear regression techniques and analysis of variance are also discussed. A TI-83 calculator or higher is required.

Prerequisite: C or better in MAT 142.

##### MAT 211 Calculus III - 3 credits

Further applications of the integral are studied including parametric and polar coordinates; infinite sequences and series; and an introduction to three-dimensional analytic geometry and vectors.

Prerequisite: C or better in MAT 142.

##### MAT 212 Calculus IV - 3 credits

A study of partial derivatives and multiple integrals with applications. Vector calculus.

Prerequisite: C or better in MAT 211.

##### MAT 224 Discrete Mathematics - 3 credits

Provides work at the advanced level in number systems for computer arithmetic, sets and logic, combinatorics, probability, relations and functions and Boolean Algebra. Offered in alternate years.

Prerequisites: C or better in MAT 142.

Cross Listed as CIS 334.

##### MAT 311 Linear Algebra - 3 credits

A study of Euclidean spaces, general linear spaces and inner product spaces. Topics include linear independence and dependence; bases and linear transformations; matrices and determinants with application to linear systems; change of basis; and representation of linear transformation and inner products.

Prerequisite: C or better in MAT 142.

##### MAT 313 Differential Equations - 3 credits

A study of differential equations. Topics included Fourier series and boundary value problems.

Prerequisite: MAT 212. Offered in alternate years.

##### MAT 316 Modern Algebra - 3 credits

An introduction to the basic concepts, including groups, rings and fields.

Prerequisite: MAT 142 or permission of the instructor. Offered in alternate years.

##### MAT 321 Numerical Analysis - 3 credits

Numerical methods in solving equations, interpolation and numerical differentiation, approximation of integrals, systems of linear equations, approximation by spline functions, Monte Carlo methods, simulation and error analysis are studied. Topics include programmed solutions and computer methods.

Prerequisite: C or better in MAT 142, CIS 135.

##### MAT 324 Modern Geometry - 3 credits

An introduction to some areas of geometry, including cross ratio, inversion, poles and polars, dissection theory, projective and non-Euclidean geometry.

Prerequisite: C or better in MAT 142 or permission of the instructor.
Offered in alternate years.

##### MAT 335 Introduction to Topology - 3 credits

A study of basic topological concepts: mapping, continuity, connectivity, compactness, separation axioms and metric spaces.

Prerequisite: C or better in MAT 212.

##### MAT 338 Number Theory - 3 credits

A study of divisibility, congruences, quadratic reciprocity, number-theoretic functions and elementary Diophantine equations.

Prerequisite: Permission of the instructor.

##### MAT 339 Complex Variables - 3 credits

Functions of a complex variable are studied. Topics include Laurent and Taylor series, residue theory, contour integration and conformal mapping.

Prerequisite: C or better in MAT 212 or permission of the instructor.

##### MAT 350 Advanced Calculus I - 3 credits

Topics covered include basic theorems of the field of real numbers, inequalities, sequential limits, function limits and the derivative. The student submits a comprehensive journal reflecting the material covered in this course. The journal should include the major definitions and theorems studied during the term with proofs of the theorems. Also included is all graded work from the course, solutions to assigned problems and interesting results discovered in outside readings or relevant computer work. Students are also required to conduct independent research on a level appropriate to a senior mathematics major and make an oral presentation on their topic.

Prerequisite: C or better in MAT 212.

##### MAT 351 Advanced Calculus II - 3 credits

A study of the Riemann integral, Laplace transforms, series of numbers and functions.

Prerequisite: MAT 350.

##### MAT 260/360 Special Topics in Mathematics - 1-3 credits

An opportunity for more advanced courses than the usual offerings in number theory, modern geometry, complex variables, real analysis, algebra, differential equations or topology, this course is given when student interest and faculty time permit. May be repeated for credit with a different topic.

##### MAT 390 Independent Study - 1-3 credits

An individual study project, usually of one term’s duration, under the direction of one or more members of the department faculty. An outline of the proposed study plan must be submitted before the beginning of the term in which the work is to be done.

Prerequisite: A sufficient background in college mathematics related to the proposal.