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College Catalog Fall 2004 - Spring 2006
MATH

MATH 090 PRE-ALGEBRA

This course provides a transition from the concrete aspects of arithmetic to the symbolic world of algebra. Emphasis is on using arithmetic and symbolic mathematics in real-life working situations. The course is designed to meet the needs of traditional college students as well as the needs of returning students whose mathematical proficiency may have declined over the years. Topics include arithmetic operations with whole numbers, decimals, fractions and integers; variable expressions; linear equations and graphs; ratio and proportion; percent; statistics; and applications of these topics.

Prerequisite: None

(4: 4, 0)

MATH 095 ELEMENTARY ALGEBRA

This is a basic, first-level algebra course. The topics covered are: introduction to the sets of natural numbers, integers, rational and real numbers, and their representation; solution of linear equations in one and two variables; quadratic equations; graphing lines and parabolas; and applications of algebra. Math 095 is intended for students who have not successfully completed Elementary Algebra previously. It is not considered a "college-level" course. The course carries three credits toward computation of full-time college attendance but carries no credit toward degree requirements for any A.A.S., A.A., or A.S. program.

Prerequisite: MATH 090 or equivalent

(3: 3, 0)

MATH 102 MATHEMATICS FOR APPLIED TECHNOLOGY

This is an introductory course in technical mathematics. It is intended for students with minimal mathematics backgrounds who wish to prepare for further study in technical areas. Topics include geometry, measurement, equations and formulas, proportions, trigonometry, and linear equations.

Enrollment is restricted to students in certificate programs in building technologies, electrical and mechanical technologies, and CADD. Students cannot receive credit for both MATH 095 and MATH 102.

Prerequisite: MATH 090 or equivalent

(3: 3, 0)

MATH 110 CONTEMPORARY MATHEMATICS

This course is an introductory study of a number of topics in contemporary mathematics that have applications in the management and social sciences. Topics include mathematical circuits, planning and scheduling, linear programming, voting systems, and game theory. The course is particularly suitable for management and liberal arts majors. (M)

Prerequisite: MATH 095 or Mathematics Course A

(3: 3, 0)

MATH 115 STATISTICS

This course begins with a study of basic data analysis using various graphical and numerical descriptions and one- and two-variable statistics. Concepts of sampling and experimental design are introduced. Sampling distributions are followed by statistical inference including confidence intervals and hypothesis tests for population means and proportions, ending with an analysis of variance and Chi-square. Microcomputers are employed to study realistic data sets; written statistics projects using Minitab and a word processor are required. A scientific calculator is required with two programs on it: one for calculating the mean and standard deviation and one for calculating correlation coefficient, slope, and y-intercept for Correlation and Regression. (M)

Prerequisite: MATH 095, Mathematics Course A, or equivalent

(4: 3, 1)

MATH 128 COLLEGE ALGEBRA

This course begins with a review of the solution of linear equations in one variable and graphs of linear functions. The central theme of the course is a study of functions, their graphs, and solution of related equations. The principal classes of functions are linear (with slope studied as a rate of change), quadratic, exponential, and logarithmic. "Real world" applications of these functions are considered. The final topic is the solution of systems of linear equations using algebraic and matrix methods. Students are expected to use a scientific calculator for all aspects of the course. Other technology may be incorporated at the instructor's discretion. (M)

Prerequisite: MATH 095 or Mathematics Course A

(3: 3, 0)

MATH 135 FINITE MATHEMATICS

This is an application-oriented course covering the non-calculus portions of mathematics needed by students majoring in business, management, economics, or the life or social sciences. Students learn about matrices and systems of equations and apply them to regression analysis, linear programming, input-output analysis, Markov processes, and game theory. (M)

Prerequisite: MATH 128 or two years of high school mathematics

(3: 3, 0) Spring

MATH 138 TRIGONOMETRY

The trig functions of any angle are defined and applied to the solution of right triangles, oblique triangles, and vectors. Trigonometric identities and the graphs of the trig functions are studied. Each student is required to purchase and learn the efficient use of a hand-held calculator with trigonometric capabilities. Microcomputers are also used. (M)

Prerequisite: MATH 128 or Mathematics Course A

(3: 3, 0)

MATH 150 PRE-CALCULUS MATHEMATICS

This is an applications-oriented course in which students are exposed to a variety of techniques (e.g., numerical, geometric, and algebraic) for solving problems. The use of technology, specifically the TI-83 graphing calculator and Windows PC, is an important part of the course. Topics studied are data analysis, mathematical modeling, and functions, including polynomial, exponential, logarithmic, and trigonometric. (M)

Prerequisites: MATH 128 and MATH 138 or Mathematics Course B

(3: 3, 0)

MATH 210 CALCULUS I

The goal of this course is for students to gain an understanding of the two main concepts of calculus-namely, the derivative and the definite integral. These concepts are developed through problem solving in which the Rule of Three (i.e., every topic should be presented geometrically, numerically, and algebraically) is the guiding principle. Technology, specifically the TI-83 or TI-85 graphing calculator and Maple as a computer algebra system, is used extensively. Topics studied are functions, the derivative, the definite integral (approximated using a Riemann sum), algebraic differentiation, and applications of the derivative. (M)

Prerequisites: MATH 150 or 3-1/3 units of high school mathematics

(4: 4, 0)

MATH 215 CALCULUS II

This course is concerned with the integral and its applications, and numerical approximation methods. Technology used is the TI-83 or TI-85 graphing calculator and Maple as a computer algebra system. Topics studied are: algebraic techniques of integration (such as substitution, parts, and partial faction decomposition); Reimann, Trapezoid, and Simpson numerical approximations to the definite integral; improper integrals; Taylor series; and polynomials. A brief introduction to differential equations will include slope fields, Euler's method of approximation, separation of variables to solve a DiffEq, and some applications. (M)

Prerequisite: MATH 210

(4: 4, 0) Spring

MATH 220 CALCULUS III

This is a course in multivariable calculus with the approach being that of the Harvard Curriculum. Technology is used extensively throughout the course (graphing calculators such as the TI-83 or TI-85, Maple as a computer algebra system). Topics studied are: functions and graphs of two variables; contour diagrams; functions of more than two variables; vectors; partial differentiation; optimization; Monte Carlo method of numerical approximation; Taylor quadratic approximations for two-variable functions; multiple integrals; and motion in space. (M)

Prerequisite: MATH 215

(4: 4, 0) Fall

MATH 225 DIFFERENTIAL EQUATIONS

Technology is used extensively throughout this course (graphing calculators such as the TI-83 or TI-85, a computer ODE program, and Maple as a computer algebra system). Topics studied are first-order differential equations with applications; differential equations of higher order with applications of second-order differential equations; differential equations with variable coefficients; the LaPlace transform; systems of linear differential equations; and numerical methods. (M)

Prerequisites: MATH 215 or MATH 220 and permission of the instructor

(4: 4, 0) Spring

MATH 230 INDEPENDENT
MATH 232 STUDY IN
MATH 234 MATHEMATICS

These courses are intended for second-year students who desire more extensive knowledge in a specific area of mathematics. Topics may be selected from statistics, algebra, modern algebra or geometry, the calculus, complex analysis, or numerical analysis, with prior approval of the instructor.

Prerequisite: Permission of the instructor

(1-3: 1-3, 0) Offered on request

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Last Updated: 8/3/08