Mathematics (MTH) at Germanna Community College


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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 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 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 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 176 - Calculus of One Variable II
Continues the study of integral calculus of one variable including indefinite integral, definite integral and methods of integration with applications to algebraic and transcental functions. Designed for mathematical, physical, and enginnering science programs. Prerequisite: MTH 175 or equivalent. (Credit will not be awarded for more than one of MTH 174, MTH 176 or MTH 274.)
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 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 182 - Finite Mathematics II
Introduces logic, counting techniques, probability and statistics, and mathematics of finance. Prerequisite: MTH 181 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 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 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 279 - Ordinary Differential Equations
Introduces ordinary differential equations. Includes first order differential equations, second and higher order ordinary differential equations with application. Designed for mathematical, physical, and engineering science programs. Prerequisite: MTH 174 or equivalent.
Lecture 4 hours per week.
4 credits
MTH 299 - 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
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