Mathematics

Instruction is based on assessment of students needs and provides support for various functions, statistics, critical thinking, and other topics covered in MA 150 Topics in Modern Math. MA 050 does not count in hours toward graduation.

Instruction is based on assessment of student needs and provides support for various functions, equations, inequalities, and other topics covered in MATH 165 College Algebra. MATH 065 does not count in hours toward graduation.

Special topic study of mathematics.

This course is designed to develop critical thinking and problem solving skills as well as to expose the student to a variety of topics in math that are relevant in our society. Topics may include logic and reasoning, number systems, strategies for problem solving, relations and functions, probability and statistics, and the relationship between algebra and geometry.

For students who desire extensive work in algebra. Topics include: introduction to the Cartesian Coordinate System; graphing of equations, functions and their graphs, including linear, quadratic, polynomial, and rational functions; systems of equations and inequalities; matrices and determinants; introduction to logarithms; and applications of these topics.

Elementary function theory, with graphing techniques and applications. Polynomials, rational functions, exponential and logarithmic functions, and trigonometric functions will all be studied in detail. This course will provide a foundation for the use of graphing utilities in problem solving.

This course is designed to provide a calculus background necessary for students in business, management, life science, or social sciences. The emphasis is on using calculus to make statements about real-world applications. Topics to be covered include limits, derivative of a function, exponential and logarithmic functions, and integration.

Topics explore the foundations of calculus: limits, continuity, the derivative of a function, the chain rule, the Mean Value Theorem, Riemann sums, integration. Includes applications, optimization problems, derivatives and integrals of algebraic, trigonometric, exponential, and logarithmic functions. Purchase of an approved calculator required.

An introduction to the basic principles of statistics. Major topics include graphic, numeric, and algebraic summaries of data (graphs, measures of central tendency and spread, correlation and regression); elementary principles of sampling and experimental design; elementary probability; normal distributions and the central limit theorem; confidence intervals; and tests of significance. Focus on analysis of data using appropriate statistical techniques.

Continuation of MATH  190, includes applications of the definite integral, inverse functions, techniques of integration, parametric equations, infinite sequences and series.

Special topic study of mathematics.

An introduction to the roles of inductive and deductive reasoning in mathematical proof and problem solving and to themes common to all branches of higher mathematics. Topics will include set theory, symbolic logic, and elementary combinatorics, and may include topics in elementary number theory or other elements of discrete mathematics. Special emphasis is given to improving the students ability to construct, explain, and justify mathematical arguments.

Continuation of MATH  240, includes the study of the calculus of functions of more than one variable. Topics include vectors, partial differentiation, polar coordinates, multiple integrals, curves and surfaces in three dimensions, vector calculus, and the higher dimensional analogs of the Fundamental Theorem of Calculus.

A calculus-based examination of probability, discrete and continuous random variables, sampling theory, confidence intervals, and hypothesis testing.

Elementary theory and methods of solving basic problems in ordinary differential equations with various applications. Purchase of an approved calculator required.

Special topic study of mathematics.

For the mathematics major, pre-engineering student or future mathematics teacher who needs understanding of underlying principles in numerical analysis. Includes: Finite differences and interpolation, numerical differentiation and integration, solving algebraic and transcendental equations, computations with matrices, the method of least squares, and numerical solutions of ordinary differential equations. Solutions of problems using computers.

Vector spaces, linear independence, bases, matrices, determinants, and the applications of the concepts to systems of linear equations. Purchase of an approved calculator required.

Reading or research at a greater depth than in a normal class.

Topics include the axiomatic development of different geometries (finite, euclidean, non-euclidean) from a modern viewpoint, transformation geometry, constructions, measurements, and the history of important developments in this rich subject. Emphasis will be placed on logical developments, with proof writing, and on activity-based tools up to and including the use of technology.

Abstract algebraic systems through the familiar systems of natural numbers, integers, rational numbers and real numbers. Systems are then generalized to groups, rings and fields by postulates which imitate the properties of the familiar systems. Algebraic structures are investigated in detail.

Topics include the topological structure of the real number line, functions, limits, continuity, differentiability, integration, the Mean Value Theorem, infinite series, uniform convergence.

Special topic study of mathematics.

Reading or research at a greater depth than in a normal class.

Required course for graduating senior math major. The course is designed to tie together the various topics studied throughout the major program of study.