Course Descriptions - Mathematics


Mathematics		Course Descriptions Main Menu Degrees and Certificates Offered

MTH 01 : DEVELOPMENTAL MATHEMATICS

(3 credits) Prerequisite(s): Proficiency in basic arithmetic skills and an appropriate score on the mathematics placement test.

Designed to develop the mathematical proficiency necessary for selected curriculum entrance requirements and/or course prerequisites. This is a pre-algebra course intended to bridge the gap between arithmetic and algebra. Topics include a review of arithmetic, integers, order of operations, simplifying algebraic expressions, and linear equations in one unknown, ratio and proportion, and measurements. Credits not applicable toward graduation. Lecture 3 hours per week.

MTH 03 : ALGEBRA I

(5 credits) Prerequisite(s): A placement recommendation for MTH 03 and one unit of high school mathematics or equivalent (MTH 01).

Designed to develop the mathematical proficiency necessary for selected curriculum entrance requirements and/or course prerequisites. Topics include the real number system, integers, order of operations, exponents, linear equations and inequalities in one unknown with applications, polynomials, factoring, rational expressions, linear equations in two unknowns, Cartesian coordinate system, radicals, and quadratic equations. Credits not applicable toward graduation. Includes topics in geometry. Lecture 5 hours per week.

MTH 04 : ALGEBRA II

(5 credits) Students are required to have a graphing calculator for this course. The TI-83 is recommended. Prerequisite(s): A placement recommendation for MTH 04 and one year of high school Algebra I or equivalent (MTH 03).

Designed to develop the mathematical proficiency necessary for selected curriculum entrance requirements and/or course prerequisites. Topics include sets, properties of the real numbers, linear equations in one unknown with applications, linear inequalities, polynomials, factoring, algebraic fractions, exponents, roots and radicals, complex numbers, quadratic equations with applications, functions, and systems of linear equations. Credits not applicable toward graduation. Lecture 5 hours per week.

MTH 105-106 : SURVEY OF TECHNICAL MATHEMATICS I-II

(2 credits/2 credits) Must be taken in sequence. Prerequisite(s): A placement recommendation for MTH 105 and one unit of high school mathematics or equivalent (MTH 01).

Reviews arithmetic, measurement, topics in basic algebra, elementary concepts in plane and solid geometry, and elementary right trigonometry. Lecture 2 hours per week.

MTH 115-116 : TECHNICAL MATHEMATICS I-II

(3 credits/3 credits) Prerequisites: ENG 05 if required by individual student’s placement; a placement recommendation for MTH 115 and three years of high school Algebra I, Algebra II, and Geometry or equivalent (MTH 03 and MTH 04).

Presents algebra through exponential and logarithmic functions, trigonometry, vectors, analytic geometry, and complex numbers. Lecture 3 hours per week.

MTH 120 : INTRODUCTION TO MATHEMATICS

(3 credits) Prerequisite(s): ENG 05 if required by individual student’s placement; a placement recommendation for MTH 120 and one unit of high school mathematics or equivalent (MTH 01).

Introduces number systems, logic, basic algebra, and descriptive statistics. (Intended for occupational/technical programs.) Lecture 3 hours per week.

MTH 126 : MATHEMATICS FOR ALLIED HEALTH

(3 credits) Prerequisite(s): A placement recommend-ation for MTH 126 and Algebra I or equivalent (MTH 03).

Presents scientific notation, precision and accuracy, decimals and percents, ratio and proportion, variation, simple equations, techniques of graphing, use of charts and tables, logarithms, and the metric system. Lecture 3 hours per week.

MTH 150 : TOPICS IN GEOMETRY

(3 credits) Prerequisite(s): a placement recommendation for MTH 150 and Algebra I, Algebra II and Geometry or equivalent.

Presents the fundamentals of plane and solid geometry and introduces non-Euclidean geometries and current topics. Lecture 3 hours per week.

MTH 151 : MATHEMATICS FOR THE LIBERAL ARTS I

(3 credits) Students are required to have a graphing calculator for this course. The TI-83 or TI-83 Plus is recommended. Prerequisite(s): ENG 05 if required by individual student’s placement; a placement recommendation for MTH 151 and three years of hig

Presents topics in sets, logic, numeration systems, and selected topics in algebra and geometry. The course will include computer applications. Lecture 3 hours per week.

MTH 152 : MATHEMATICS FOR THE LIBERAL ARTS II

Presents topics in functions, graphs, systems of equations, combinatorics, probability, and statistics. The course will include computer applications. Lecture 3 hours per week.

MTH 157 : ELEMENTARY STATISTICS

(3 credits) Prerequisite(s): ENG 05 if required by individual student’s placement; a placement recommendation for MTH 157 and three years of high school mathematics including Algebra I, Algebra II, and Geometry or equivalent (MTH 03, MTH 04).

Presents elementary statistical methods and concepts including descriptive statistics, estimation, hypothesis testing, linear regression, and categorical data analysis. Lecture 3 hours per week.

MTH 163 : PRECALCULUS I

(3 credits) Students are required to have a graphing calculator for this course. The TI-83 or TI-83 Plus is recommended. Prerequisite: ENG 05 if required by individual student’s placement; a placement recommendation for MTH 163 and three years of high sc

Presents topics in college algebra, matrices and determinants, and algebraic, exponential, and logarithmic functions. Lecture 3 hours per week.

MTH 164 : PRECALCULUS II

(3 credits) Students are required to have a graphing calculator for this course. The TI-83 or TI-83 Plus is recommended. Prerequisite(s): MTH 163 or equivalent.

Presents topics in trigonometry, analytic geometry, and sequences and series. Lecture 3 hours per week.

MTH 166 : PRECALCULUS WITH TRIGONOMETRY

Presents topics in college algebra, analytic geometry, and a study of algebraic and transcendental functions. Lecture 4 hours per week.

MTH 173 : CALCULUS WITH ANALYTIC GEOMETRY I

(4 credits) Students are required to have a graphing calculator for this course. The TI-83 or TI-83 Plus is recommended. Prerequisite(s): ENG 05 if required by individual student’s placement; a placement recommendation for MTH 173 and four years of high school mathematics, including Algebra I, Algebra II, Geometry, and one of the following: Elementary Functions, Math Analysis, Pre-Calculus or equivalent (MTH 03, MTH 04 and MTH 163-164).

Presents the calculus of algebraic and trigonometric functions including the study of limits, continuity, derivatives, differentials, and an introduction to integration which includes definite and indefinite integrals. Analytic geometry is integrated into this course as are applications of the derivative and definite integral. Lecture 4 hours per week.

MTH 174 : CALCULUS WITH ANALYTIC GEOMETRY II

(4 credits) Students are required to have a graphing calculator for this course. The TI-83 or TI-83 Plus is recommended. Prerequisite(s): MTH 173 or equivalent.

Continues the study of the calculus of transcendental functions including inverse trigonometric and hyperbolic functions, rectangular, polar, and parametric graphing, indefinite and definite integrals, methods of integration, indeterminate forms and improper integrals, analytic geometry and power series along with applications of these topics. Lecture 4 hours per week.

MTH 180 : FINITE MATHEMATICS

Covers systems of linear equations, matrices, linear programming, counting techniques, probability theory, game theory, and the mathematics of finance. Lecture 3 hours per week.

MTH 200 : ABSTRACT ALGEBRA

(3 credits) Prerequisite(s): MTH 174 or division permission.

Covers groups, isomorphisms, fields, homomophisms, rings, and integral domains. Fulfills the abstract algebra requirement for Virginia high school mathematics teaching endorsement. Lecture 3 hours per week.

MTH 241 : STATISTICS I

(3 credits) Prerequisites: a placement recommendation for MTH 241 and MTH 163 or MTH 166 or equivalent. (Credit will not be awarded for both MTH 240 and MTH 241.)

Covers descriptive statistics, elementary probability, probability distributions, estimation, and hypothesis testing. Lecture 3 hours per week.

MTH 242 : STATISTICS II

(3 credits) Prerequisite: MTH 241 or equivalent.

Continues the study of estimation and hypothesis testing with emphasis on correlation and regression, analysis of variance, chi-square tests, and non-parametric methods. Lecture 3 hours per week.

MTH 250 : COLLEGE GEOMETRY

(3 credits) Prerequisite: a placement recommendation for MTH 250 and MTH 174 or equivalent.

Presents topics in Euclidean and non-Euclidean geometries chosen to prepare individuals for teaching geometry at the high school level. Studies Euclid’s geometry and its limitations, axiomatic systems, techniques of proof, and Hilbert’s geometry, including the parallel postulates for Euclidean, hyperbolic, and elliptic geometries. Lecture 3 hours per week.

MTH 270 : APPLIED CALCULUS

(3 credits) Prerequisite(s): MTH 163 and 4 years high school mathematics (Algebra I, Algebra II, Geometry, and Pre-Calculus).

Introduces limits, continuity, differentiation and integration of algebraic and transcendental functions, techniques of integration, and partial differentiation. Lecture 3 hours per week.

MTH 277 : VECTOR CALCULUS

(4 credits) Prerequisite(s): MTH 174 or equivalent.

Presents vector valued functions, partial derivatives, multiple integrals, and topics from the calculus of vectors. Designed for mathematical, physical, and engineering science programs. Lecture 4 hours per week.

MTH 280 : THE HISTORY OF MATHEMATICS

(3 credits) Prerequisite: MTH 173 or equivalent

Covers the history of mathematics from the ancient Egyptians and Babylonians through the development of the calculus to selected topics of modern mathematics. Lecture 3 hours per week

MTH 285 : LINEAR ALGEBRA

(3 credits) Prerequisite(s): MTH 174 or equivalent.

Covers matrices, vector spaces, determinants, solutions of systems of linear equations, basis and dimension, eigenvalues, and eigenvectors. Designed for mathematical, physical and engineering science programs. Lecture 3 hours per week.

MTH 287 : MATHEMATICAL STRUCTURES

(3 credits) Prerequisite(s): MTH 164 or equivalent.

Presents topics in mathematical structures that are of value to students majoring in Computer Science or other disciplines requiring programming skills. Covers logic, set theory, number theory, combinatorics, functions, relations, and graph theory. Lecture 3 hours per week.

MTH 291 : DIFFERENTIAL EQUATIONS

(3 credits) Prerequisite(s): MTH 174 or equivalent.

Introduces first order differential equations, linear differential equations, numerical methods, and applications. Designed for mathematical, physical, and engineering science programs. Lecture 3 hours per week.


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Page Updated - December 5, 2005