Mathematics (MTH) at Mountain Empire Community College


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MTH 1 - Developmental Mathematics
Designed to bridge the gap between a weak mathematical foundation and the knowledge necessary for the study of mathematics courses in technical, professional, and transfer program. Topics may include arithmetic, algebra, geometry, and trigonometry. Credits not applicable toward graduation.
Variable hours per week.
1-5 credits
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 21 - Survey of Technical Mathematics I
Provides a foundation in mathematics with emphasis in arithmetic, algebra, geometry, and trigonometry. Presents applications directed to specialty options. Prerequisite: a placement recommendation for MTH 21. Part I of II.
Lecture 2-5 hours per week.
2-5 credits
MTH 22 - Survey of Technical Mathematics II
Provides a foundation in mathematics with emphasis in arithmetic, algebra, geometry, and trigonometry. Presents applications directed to specialty options. Prerequisite: a placement recommendation for MTH 21. Part II of II.
Lecture 2-5 hours per week.
2-5 credits
MTH 50 - Mathematics for Teacher Entrance Exams
Provides participants with review and practice for the mathematics portion of the licensure examination required of all beginning techers in Virginia. Test-taking strategies are emphasized throughout. Prerequisite: MTH 02 or equivalent.
Lecture 1-2 hours per week.
1-2 credits
MTH 60 - Introduction to College Algebra
Reviews the fundamental ideas of algebra including the real number system, polynomials, rational expressions, graphing, equations and inequalities, relations and functions, and systems of first degree equations and inequalities. Prerequisite: a placement recommendation for MTH 60 and Algebra I and Algebra II or equivalent. (This course is intended as preparation for MTH 163 or MTH 166).
Lecture 3 hours per week.
3 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 105 - Survey of Technical Mathematics I
Reviews arithmetic and introduces measurement, basic algebra, plane and solid geometry, and trigonometry. Prerequisites: a placement recommendation for MTH 105 and one unit of high school mathematics or equivalent. Part I of II.
Lecture 2 hours per week.
2 credits
MTH 106 - Survey of Technical Mathematics II
Reviews arithmetic and introduces measurement, basic algebra, plane and solid geometry, and trigonometry. Prerequisites: a placement recommendation for MTH 105 and one unit of high school mathematics or equivalent. Part II of II.
Lecture 2 hours per week.
2 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 120 - Introduction to Mathematics
Introduces number systems, logic, basic algebra, and descriptive statistics. Prerequisites: a placement recommendation for MTH 120 and one unit of high school mathematics or equivalent. (Intended for occupational/technical programs.)
Lecture 3 hours per week.
3 credits
MTH 121 - Fundamentals of Mathematics I
Covers concepts of numbers, fundamental operations with numbers, formulas and equations, graphical analysis, binary numbers, Boolean and matrix algebra, linear programming, and elementary concepts of statistics. Prerequisites: a placement recommendation for MTH 121 and one unit of high school mathematics or equivalent. (Intended for occupational/technical programs.) Part I of II.
Lecture 3 hours per week.
3 credits
MTH 122 - Fundamentals of Mathematics II
Covers concepts of numbers, fundamental operations with numbers, formulas and equations, graphical analysis, binary numbers, Boolean and matrix algebra, linear programming, and elementary concepts of statistics. Prerequisites: a placement recommendation for MTH 121 and one unit of high school mathematics or equivalent. (Intended for occupational/technical programs.) 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 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 142 - Business Mathematics II
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 II 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 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 157 - Elementary Statistics
Presents elementary statistical methods and concepts including descriptive statistics, estimation, hypothesis testing, linear regression, and categorical data analysis. (Credit will not be awarded for both MTH 157 and MTH 240 or MTH 241.) Prerequisites: Algebra 1, Algebra II and Geometry and a placement recommendation for MTH 157.
Lecture 3-4 hours per week.
3-4 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 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 181 - Finite Mathematics I
Introduces set theory, systems of linear equations, matrices, linear programming, probability, and game theory. Prerequisites: a placement recommendation for MTH 181 and Algebra I, Algebra II, and Geometry or equivalent.
Lecture 3 hours per week.
3 credits
MTH 195 - Topics In
Provides an opportunity to explore topical areas of interest to or needed by students.
May be used also for special honors courses. May be repeated for credit. Variable hours.
1-5 credits
MTH 198 - Seminar and Project
Requires completion of a project or research report related to the student's occupational objectives and a study of approaches to the selection and pursuit of career opportunities in the field.
May be repeated for credit. Variable hours.
1-5 credits
MTH 199 - Supervised Study
Assigns problems for independent study incorporating previous instruction and supervised by the instructor.
May be repeated for credit. Variable hours.
1-5 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 250 - College Geometry
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. Prerequisite: a placement recommendation for MTH 250 and MTH 174 or equivalent.
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 273 - Calculus I
Presents topics in differential calculus of one variable including the theory of limits, derivatives, differentials, definite and indefinite integrals and applications to algebraic and transcendental functions. Designed for mathematical, physical, and engineering science programs. Prerequisites: a placement recommendation for MTH 273 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 hours per week.
4 credits
MTH 274 - Calculus II
Covers vectors in three dimensions, definite integrals, methods of integration, indeterminate forms, partial differentiation, and multiple integrals. Designed for mathematical, physical, and engineering science programs. Prerequisite: MTH 273 or equivalent. (Credit will not be awarded for more than one of MTH 174, MTH 176 or MTH 274.)
Lecture 4 hours per week.
4 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 295 - Topics In
Provides an opportunity to explore topical areas of interest to or needed by students.
May be used also for special honors courses. May be repeated for credit. Variable hours.
1-5 credits
myfuture.vccs.edu  .  101 N. 14th Street, 15th Floor  .  Richmond, VA 23219  .  t. 804-819-4901  .  f. 804-819-4760