Blue Ridge Community College 2013-2014 Catalog and Student Handbook
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MTH 175 (3 CR) Calculus of One Variable I 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) 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. Lecture 3 hours per week. MTH 176 (3 CR) Calculus of One Variable II Prerequisite: MTH 175 or equivalent (Credit will not be awarded for more than one of MTH 174, MTH 176 or MTH 274) Continues the study of integral calculus of one variable including indefinite integral, definite integral and methods of integration with applications to algebraic and transcendental functions. Designed for mathematical, physical, and engineering science programs. Lecture 3 hours per week. MTH 177 (2 CR) Introduction to Linear Algebra Co-requisite: MTH 173 or instructor permission (Credit will not be awarded for MTH 177 and MTH 285) Covers matrices, vector spaces, determinants, solutions of systems of linear equations, and eigen values. Designed for mathematical, physical, and engineering science programs. Lecture 2 hours per week. MTH 200 (3 CR) Abstract Algebra Prerequisite: MTH 174 or instructor 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 270 (3 CR) Applied Calculus Prerequisite: MTH 163 or MTH 166 or equivalent (Credit will not be awarded for both MTH 270 and MTH 271) Introduces limits, continuity, differentiation and integration of algebraic and transcendental functions, techniques of integration, and partial differentiation. Lecture 3 hours per week. MTH 277 (4 CR) Vector Calculus Prerequisite: 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 279 (4 CR) Ordinary Differential Equations Prerequisite: MTH 174 or equivalent 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. Lecture 4 hours per week. MTH 285 (3 CR) Linear Algebra Prerequisite: MTH 174 or equivalent (Credit will not be awarded for MTH 177 and MTH 285) Covers matrices, vector spaces, determinants, solutions of systems of linear equations, basis and dimension, eigen values, and eigen vectors. Lecture 3 hours per week.
Course Descriptions
MTH 250 (3 CR) College Geometry 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.