Mathematics (MTH) at Virginia Highlands Community College
- MTH 2 - Arithmetic
- Covers arithmetical principles and computations including whole numbers, fractions, decimals, percents, measurement, graph interpretation, geometric forms, and applications. Develops the mathematical proficiency necessary for selected curriculum entrance. Credits not applicable toward graduation.Variable hours per week.1-5 credits
- MTH 3 - Algebra I
- Covers the topics of Algebra I including, real numbers, equations and inequalities, exponents, plynomials, Cartesian coordinate system, rational expressions, and applications. Develops the mathematical proficiency necessary for selected curriculum entrance. Credits not applicable toward graduation. Prerequisites: a placement recommendation for MTH 03 and Arithmetic or equivalent.Variable hours per week.1-5 credits
- MTH 4 - Algebra II
- Expands upon the topics of Algebra I including rational expressions, radicals and exponents, quadratic equations, systems of equations, and applications. Develops the mathematical proficiency necessary for selected curriculum entrance. Credits not applicable toward graduation. Prerequisites: a placement recommendation for MTH 04 and Algebra I or equivalent.Variable hours per week.1-5 credits
- MTH 5 - Algebra Revisited
- Reviews topics in Algebra II necessary for entry into occupational/technical or transfer mathematics courses. Credits not applicable toward graduation. Prerequisites: a placement recommendation for MTH 05 and Algebra I and Algebra II or equivalent.Variable hours per week.1-5 credits
- MTH 6 - Developmental Geometry
- Covers topics in Euclidean geometry including similarity and congruency, plane and solid figures, right triangles, parallel and perpendicular lines, constructions, and applications. Develops the mathematical proficiency necessary for selected curriculum entrance. Credits not applicable toward graduation. Prerequisites: a placement recommendation for MTH 06 and Algebra I or equivalent.Variable hours per week.1-5 credits
- MTH 7 - Developmental Trigonometry
- Covers topics including right triangles, oblique triangles, ident applications. Develops the mathematical proficiency necessary fo curriculum entrance. Credits not applicable toward graduation. placement recommendation for MTH 07 and Algebra I and Algebra II equivalent.Variable hours per week.1-5 credits
- MTH 103 - Applied Technical Mathematics I
- Presents a review of arithmetic, elements of algebra, geometry, and trigonometry. Directs applications to specialty areas. Prerequisites: a placement recommendation for MTH 103 and one unit of high school mathematics or equivalent. Part I of II.Lecture 3 hours per week.3 credits
- MTH 104 - Applied Technical Mathematics II
- Presents a review of arithmetic, elements of algebra, geometry, and trigonometry. Directs applications to specialty areas. Prerequisites: a placement recommendation for MTH 103 and one unit of high school mathematics or equivalent. Part II of II.Lecture 3 hours per week.3 credits
- MTH 115 - Technical Mathematics I
- Presents algebra through exponential and logarithmic functions, trigonometry, vectors, analytic geometry, and complex numbers. Prerequisites: a placement recommendation for MTH 115 and Algebra I and Geometry, or Algebra I and Algebra II, or equivalent. Part I of II.Lecture 3 hours per week.3 credits
- MTH 116 - Technical Mathematics II
- Presents algebra through exponential and logarithmic functions, trigonometry, vectors, analytic geometry, and complex numbers. Prerequisites: a placement recommendation for MTH 115 and Algebra I and Geometry, or Algebra I and Algebra II, or equivalent. Part II of II.Lecture 3 hours per week.3 credits
- MTH 126 - Mathematics for Allied Health
- 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. Prerequisites: a placement recommendation for MTH 126 and one unit of high school mathematics or equivalent.Lecture 2-3 hours per week.2-3 credits
- MTH 128 - Mathematical Modeling in the Sciences I
- Introduces mathematical modeling analysis in conjunction with computer utilities and experimental observation of both computer models and the real world. Covers simple, mostly physical systems, and the accuracy of models of observed systems, the nature of the modeling process, the refinement of models, and nature of the functions, equations and matrices used in the modeling process. Prerequisites: Algebra I, Algebra II and Geometry or equivalent.Lecture 3 hours. Laboratory 3 hours. Total 6 hours per week.4 credits
- MTH 141 - Business Mathematics I
- Provides instruction, review, and drill in percentage, cash and trade discounts, mark-up, payroll, sales, property and other taxes, simple and compound interest, bank discounts, loans, investments, and annuities. Prerequisites: a placement recommendation for MTH 141 and one unit of high school mathematics or equivalent. Part I of II.Lecture 3 hours per week.3 credits
- MTH 146 - Introduction to Elementary Statistics
- Introduces the methods of statistics including sampling from normally distributed populations, estimation, regression, testing of hypotheses, point and interval estimation methods. Prerequisites: a placement recommendation for MTH 146 and Algebra I or equivalent.Lecture 3 hours per week.3 credits
- MTH 150 - Topics in Geometry
- Presents the fundamentals of plane and solid geometry and introduces non-Euclidean geometries and current topics. Prerequisites: a placement recommendation for MTH 150 and Algebra I, Algebra II and Geometry or equivalent.Lecture 3 hours per week.3 credits
- MTH 151 - Mathematics for the Liberal Arts I
- Presents topics in sets, logic, numeration systems, geometric systems, and elementary computer concepts. Prerequisites: a placement recommendation for MTH 151 and Algebra I, Algebra II and Geometry or equivalent.Lecture 3 hours per week.3 credits
- MTH 152 - Mathematics for the Liberal Arts II
- Presents topics in functions, cominatorics, probability, statistics and algebraic systems. Prerequisites: a placement recommendation for MTH 152 and Algebra I, Algebra II and Geometry or equivalent.Lecture 3 hours per week.3 credits
- MTH 158 - College Algebra
- Covers the structure of complex number systems, polynomials, rational expressions, graphing, systems of equations and inequalities and functions, quadratic and rational equations and inequalities.Lecture 3 hours per week.3 credits
- MTH 163 - Precalculus I
- Presents college algebra, matrices, and algebraic, exponential, and logarithmic functions. Prerequisites: a placement recommendation for MTH 163 and Algebra I, Algebra II, and Geometry or equivalent. (Credit will not be awarded for both MTH 163 and MTH 166.)Lecture 3 hours per week.3 credits
- MTH 164 - Precalculus II
- Presents trigonometry, analytic geometry, and sequences and series. Prerequisite: MTH 163 or equivalent. (Credit will not be awarded for both MTH 164 and MTH 168.)Lecture 3 hours per week.3 credits
- MTH 166 - Precalculus with Trigonometry
- Presents college algebra, analytic geometry, trigonometry, and algebraic exponential, and logarithmic functions. Prerequisite: a placement recommendation for MTH 166 and Algebra I, Algebra II, and Geometry or equivalent. (Credit will not be awarded for both MTH 163 and MTH 166.)Lecture 4-5 hours per week.4-5 credits
- MTH 170 - Foundations in Contemporary Mathematics
- Covers topics in the mathematics of social choice, management sciences, statistics, and growth. Uses physical demonstrations and modeling techniques to teach the power and utility of mathematics. Algebra I-II and Geometry or equivalent.Lecture 3 hours per week.3 credits
- MTH 173 - Calculus with Analytic Geometry I
- Presents analytic geometry and the calculus of algebraic and transcendental functions including the study of limits, derivatives, differentials, and introduction to integration along with their applications. Designed for mathematical, physical and engineering science programs. Prerequisites: a placement recommendation for MTH 173 and four units of high school mathematics including Algebra I, Algebra II, Geometry and Trigonometry or equivalent. (Credit will not be awarded for more than one of MTH 173, MTH 175, or MTH 273.)Lecture 4-5 hours per week.4-5 credits
- MTH 174 - Calculus with Analytic Geometry II
- Continues the study of analytic geometry and the calculus of algebraic and transcendental functions including rectangular, polar, and parametric graphing, indefinite and definite integrals, methods of integration, and power series along with applications. Designed for mathematical, physical, and enginnering science programs. Prerequisite: MTH 173 or equivalent. (Credit will not be awarded for more than one of MTH 174, MTH 176 or MTH 274.)Lecture 4-5 hours per week.4-5 credits
- MTH 175 - Calculus of One Variable I
- Presents differential calculus of one variable including the theory of limits, derivatives, differentials, antiderivatives and applications to algebraic and transcental functions. Designed for mathematical, physical, and engineering science programs. Prerequisites: a placement recommendation for MTH 175 and four units of high school mathematics including Algebra I, Algebra II, Geometry and Trigonometry or equivalent. (Credit will not be awarded for more than one of MTH 173, MTH 175 or MTH 273.)Lecture 3 hours per week.3 credits
- MTH 180 - Finite Mathematics
- Covers systems of linear equations, matrices, linear programming, counting techniques, probability theory, game theory and the mathematics of finance. Prerequisite: a placement recommendation for MTH 180 and Algebra I, Algebra II and Geometry or equivalent.Lecture 3 hours per week.3 credits
- MTH 240 - Statistics
- Presents an overview of statistics, including descriptive statistics, elementary probability, probability distributions, estimation, hypothesis testing, and correlation and regression. Prerequisites: a placement recommendation for MTH 240 and successful completion of MTH 158, MTH 163, MTH 166, or equivalent.Lecture 3 hours per week.3 credits
- MTH 241 - Statistics I
- Covers descriptive statistics, elementary probability, probability distributions, estimation, and hypothesis testing. 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.)Lecture 3 hours per week.3 credits
- MTH 242 - Statistics II
- Continues the study of estimation and hypothesis testing with emphasis on correlation and regression, analysis of variance, chi-square tests, and non-parametric methods. Prerequisite: MTH 241 or equivalent.Lecture 3 hours per week.3 credits
- MTH 243 - Probability and Statistics I
- Uses calculus to develop the theory of probability and statistics including discrete and continuous distribution theory, Poisson processes, moment generating functions, central limit theorem, hypothesis testing and estimation. Designed for mathematical, physical, and engineering science programs. Prerequisite: MTH 174 or equivalent.Lecture 3 hours per week.3 credits
- MTH 270 - Applied Calculus
- Introduces limits, continuity, differentiation and integration of algebraic and transcendental functions, techniques of integration, and partial differentiation. Prerequisite: MTH 163 or MTH 166 or equivalent. (Credit will not be awarded for both MTH 270 and MTH 271.)Lecture 3 hours per week.3 credits
- MTH 271 - Applied Calculus I
- Presents limits, continuity, differentiation of algebraic and transcendental functions with applications, and an introduction to integration. Prerequisite: MTH 163 or MTH 166 or equivalent. (Credit will not be awarded for both MTH 270 and MTH 271.)Lecture 3 hours per week.3 credits
- MTH 272 - Applied Calculus II
- Covers techniques of integration, multivariable calculus, and an introduction to differential equations. Prerequisite: MTH 271 or equivalent.Lecture 3 hours per week.3 credits
- MTH 275 - Multivariable Calculus and Linear Algebra
- Presents vector valued functions, partial derivatives, multiple integrals, matrices, vector spaces, determinants, solutions of systems of linear equations, basis and dimension, eigen values, and eigen vectors. Designed for mathematical, physical and engineering science programs. Prerequisite: MTH 174 or equivalent.Lecture 4 hours per week.4 credits
- MTH 285 - Linear Algebra
- Covers matrices, vector spaces, determinants, solutions of systems of linear equations, basis and dimension, eigen values, and eigen vectors. Designed for mathematical, physical and engineering science programs. Prerequisite: MTH 174 or equivalent.Lecture 3 hours per week.3 credits
- MTH 286 - Discrete Mathematics
- Presents topics in discrete mathematical structures which are basic tools used in computer science. Covers sets, Boolean algebra, counting methods, generating functions and recurrence relations, graph theory, trees, and an introduction to finite state automata. Designed for mathematical, physical, and engineering science programs. Prerequisite: MTH 174 or equivalent.Lecture 4 hours per week.4 credits
- MTH 291 - Differential Equations
- Introduces first order differential equations, linear differential equations, numerical methods, and applications. Designed for mathematical, physical, and engineering science programs. Prerequisite: MTH 174 or equivalent.Lecture 3 hours per week.3 credits