Mathematics (MTH) at Thomas Nelson 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 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 95 - 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 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 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 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 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 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 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 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 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 200 - Abstract Algebra
Covers groups, isomorphisms, fields, homomophisms, rings, and integral domains. Fulfills the abstract algebra requirement for Virginia high school mathematics teaching endorsement. Prerequisite: MTH 174 or permission.
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 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 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 277 - Vector Calculus
Presents vector valued functions, partial derivatives, multiple integrals, and topics from the calculus of 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 287 - Mathematical Structures
Presents topics in mathematical structures 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. Prerequisite: MTH 166 or equivalent.
Lecture 3 hours per week.
3 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
MTH 292 - Topics in Differential Equations
Presents power series solutions, Fourier series, Laplace transform, partial differential equations, and boundary value problems. Designed for mathematical, physical, and engineering science programs. Prerequisite: MTH 291 or equivalent.
Lecture 3 hours per week.
3 credits
MTH 293 - Studies In
Covers new content not covered in existing courses in the discipline. Allows instructor to explore content and instructional methods to assess the course's viability as a permanent offering.
Lecture 1-5 hours per week.
1-5 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