## Mathematics (MTH) at Lord Fairfax Community College

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MTH 5 - Bundle 4-5 - First Degree Equations and Inequalities and Systems of Linear Equations
Includes solving first degree equations and inequalities containing one variable, and using them to solve application problems. Emphasizes applications and problem solving. Includes finding the equation of a line, graphing linear equations and inequalities in two variables and solving systems of two linear equations. Emphasizes writing and graphing equations using the slope of the line and points on the line, and applications. Credit is not applicable toward graduation.
Lecture 2 hours. Total 2 hours per week.
Prerequisites: MTE 1-3 or qualifying placement score
2 credits
MTH 5 Detailed Outline
MTH 9 - Bundle 6-9 - Exponents, Factoring, Poly Equations, Rational Expressions and ...
Includes performing operations on exponential expressions and polynomials, factoring polynomials, solving polynomial equations, simplifying rational algebraic expressions, solving rational algebraic equations, simplifying radical expressions, using rational exponents, solving radical equations, working with functions in different forms: ordered pair, graph, and equation form. Also introduces quadratic functions, their properties and their graphs. Emphasis should be on learning all the different factoring methods, and solving application problems using polynomial, rational and radical equations. Credit is not applicable toward graduation.
Lecture 4 hours. Total 4 hours per week.
Prerequisites: MTE 1-5 or qualifying placement score.
4 credits
MTH 9 Detailed Outline
MTH 130 - Fundamentals of Reasoning
Presents elementary concepts of algebra, linear graphing, financial literacy, descriptive statistics, and measurement & geometry. Based on college programs being supported by this course, colleges may opt to add additional topics such as logic or trigonometry. This course is intended for occupational/technical programs.
Lecture 3 hours. Total 3 hours per week.
Prerequisites: Competency in MTE 1-3 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 2
3 credits
MTH 130 Detailed Outline
MTH 131 - Technical Mathematics
Presents algebra through unit conversion, trigonometry, vectors, geometry, and complex numbers. This course is intended for CTE programs.
Lecture 3 hours. Total 3 hours per week.
Prerequisites: Competency in MTE 1-6 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 3
3 credits
MTH 131 Detailed Outline
MTH 133 - Mathematics for Health Professions
Presents in context the arithmetic of fractions and decimals, the metric system and dimensional analysis, percents, ratio and proportion, linear equations, topics in statistics, topics in geometry, logarithms, topics in health professions including dosages, dilutions and IV flow rates. This course is intended for programs in the Health Professions.
Lecture 3 hours. Total 3 hours per week.
Prerequisites: Competency in MTE 1-3 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 9
3 credits
MTH 133 Detailed Outline
MTH 154 - Quantitative Reasoning
Presents topics in proportional reasoning, modeling, financial literacy and validity studies (logic and set theory). Focuses on the process of taking a real-world situation, identifying the mathematical foundation needed to address the problem, solving the problem and applying what is learned to the original situation. This is a Passport Transfer course.
Lecture 3 hours. Total 3 hours per week.
Prerequisites: Competency in MTE 1-5 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 4: Learning Support for Quantitative Reasoning
3 credits
MTH 154 Detailed Outline
MTH 155 - Statistical Reasoning
Presents elementary statistical methods and concepts including visual data presentation, descriptive statistics, probability, estimation, hypothesis testing, correlation and linear regression. Emphasis is placed on the development of statistical thinking, simulation, and the use of statistical software. This is a Passport Transfer course.
Lecture 3 hours, Total 3 hours per week.
Prerequisite: Competency in MTE 1-5 as demonstrated through placement or unit completion or equivalent or Co-requisite: MCR 5Learning Support for Statistical Reasoning.
3 credits
MTH 155 Detailed Outline
MTH 161 - PreCalculus I
Presents topics in power, polynomial, rational, exponential, and logarithmic functions, and systems of equations and inequalities. Credit will not be awarded for both MTH 161: Precalculus I and MTH 167: Precalculus with Trigonometry or equivalent. This is a Passport Transfer course.
Lecture 3 hours. Total 3 hours per week.
Prerequisites: Competency in MTE 1-9 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 6: Learning Support for Precalculus I
3 credits
MTH 161 Detailed Outline
MTH 162 - PreCalculus II
Presents trigonometry, trigonometric applications including Law of Sines and Cosines and an introduction to conics. Credit will not be awarded for both MTH 162: Precalculus II and MTH 167: Precalculus with Trigonometry or equivalent. This is a Passport Transfer course.
Lecture 3 hours. Total 3 hours per week.
Prerequisites: Placement or completion of MTH 161: Precalculus I or equivalent with a grade of C or better
3 credits
MTH 162 Detailed Outline
MTH 167 - PreCalculus with Trigonometry
Presents topics in power, polynomial, rational, exponential, and logarithmic functions, systems of equations, trigonometry, and trigonometric applications, including Law of Sines and Cosines, and an introduction to conics. Credit will not be awarded for both MTH 167: Precalculus with Trigonometry and MTH 161/MTH 162: Precalculus I and II or equivalent. This is a Passport Transfer course.
Lecture 5 hours. Total 5 hours per week.
Prerequisites: Competency in MTE 1-9 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 7: Learning Support for Precalculus w/ Trigonometry
5 credits
MTH 167 Detailed Outline
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 245 - Statistics I
Presents an overview of statistics, including descriptive statistics, elementary probability, probability distributions, estimation, hypothesis testing, correlation, and linear regression. Credit will not be awarded for both MTH 155: Statistical Reasoning and MTH 245: Statistics I or equivalent. This is a Passport Transfer course.
Lecture 3 hours. Total 3 hours per week.
Prerequisite: Completion of MTH 154 or MTH 161 or equivalent with a grade of C or better.
3 credits
MTH 245 Detailed Outline
MTH 246 - Statistics II
Continues the study of estimation and hypothesis testing with emphasis on advanced regression topics, experimental design, analysis of variance, chi-square tests and non-parametric methods.
Lecture 3 hours. Total 3 hours per week.
Prerequisite: Completion of MTH 245 or equivalent with a grade of C or better.
3 credits
MTH 246 Detailed Outline
MTH 261 - Applied Calculus I
Introduces limits, continuity, differentiation and integration of algebraic, exponential and logarithmic functions, and techniques of integration with an emphasis on applications in business, social sciences and life sciences. This is a Passport Transfer course.
Lecture 3 hours. Total 3 hours per week.
Prerequisite: Completion of MTH 161 or equivalent with a grade of C or better.
3 credits
MTH 261 Detailed Outline
MTH 262 - Applied Calculus II
Covers techniques of integration, an introduction to differential equations and multivariable calculus, with an emphasis throughout on applications in business, social sciences and life sciences.
Lecture 3 hours. Total 3 hours per week.
Prerequisite: Completion of MTH 261 or equivalent with a grade of C or better.
3 credits
MTH 262 Detailed Outline
MTH 263 - Calculus I
Presents concepts of limits, derivatives, differentiation of various types of functions and use of differentiation rules, application of differentiation, antiderivatives, integrals and applications of integration. This is a Passport Transfer course.
Lecture 4 hours. Total 4 hours per week.
Prerequisite: Completion of MTH 167 or MTH 161/162 or equivalent with a grade of C or better.
4 credits
MTH 263 Detailed Outline
MTH 264 - Calculus II
Continues the study of 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. Features instruction for mathematical, physical and engineering science programs. This is a Passport Transfer course.
Lecture 4 hours. Total 4 hours per week.
Prerequisite: Completion of MTH 263 or equivalent with a grade of C or better.
4 credits
MTH 264 Detailed Outline
MTH 265 - Calculus III
Focuses on extending the concepts of function, limit, continuity, derivative, integral and vector from the plane to the three dimensional space. Covers topics including vector functions, multivariate functions, partial derivatives, multiple integrals and an introduction to vector calculus. Features instruction for mathematical, physical and engineering science programs.
Lecture 4 hours. Total 4 hours per week.
Prerequisite: Completion of MTH 264: Calculus II or equivalent with a grade of C or better
4 credits
MTH 265 Detailed Outline
MTH 266 - Linear Algebra
Covers matrices, vector spaces, determinants, solutions of systems of linear equations, basis and dimension, eigenvalues, and eigenvectors. Features instruction for mathematical, physical and engineering science programs.
Lecture 3 hours. Total 3 hours per week.
Prerequisite: Completion of MTH 263 or equivalent with a grade of B or better or MTH 264 or equivalent with a grade of C or better.
3 credits
MTH 266 Detailed Outline
MTH 267 - Differential Equations
Introduces ordinary differential equations. Includes first order differential equations, second and higher order ordinary differential equations with applications and numerical methods.
Lecture 3 hours. Total 3 hours per week.
Prerequisite: Completion of MTH 264 or equivalent with a grade of C or better.
3 credits
MTH 267 Detailed Outline
MTH 288 - Discrete Mathematics
Presents topics in sets, counting, graphs, logic, proofs, functions, relations, mathematical induction, Boolean Algebra, and recurrence relations.
Lecture 3 credits. Total 3 credits per week.
Prerequisite: Completion of MTH 263 with a grade of C or better or equivalent.
3 credits
MTH 288 Detailed Outline
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
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