## Mathematics (MTH) at Patrick Henry Community College

- 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 1 - Occupational Mathematics
- Introduces contextualized mathematics concepts for specific occupational fields of study in order to make direct connections between basic skills and their applications to a career field. Topics may include arithmetic, algebra, geometry, and trigonometry. Credits not applicable toward graduation and completion does not satisfy specific MTE modules.Lecture 1-3 hours. Total 1-3 hours per week.

Corequisite(s): Requires enrollment in an entry level course of an occupational program as defined as career/technical education.1 credits - MTH 3 - Bundle 1-3 - Operations with Fractions, Decimals, and Percents and Algebra Basics
- Includes operations and problem solving with proper fractions, improper fractions, and mixed numbers without the use of a calculator; operations and problem solving with positive decimals and percents; basic operations with algebraic expressions and solving simple algebraic equations using signed numbers. Emphasizes applications and includes U. S. customary and metric units of measure. Credit is not applicable toward graduation.Lecture 3 hours. Total 3 hours per week.

Prerequisites: Qualifying placement score3 credits - 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.

Prerequisite(s): MTE 1-3 or qualifying placement score2 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 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 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 103 - Applied Technical Mathematics I
- Presents a review of arithmetic, elements of algebra, geometry, and trigonometry. Directs applications to specialty areas.Lecture 3 hours per week. 3 credits

Prerequisites: Competency in Math Essentials MTE 1-3 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent. Part I of II.3 credits - MTH 105 - Survey of Technical Mathematics I
- Reviews arithmetic and introduces measurement, basic algebra, plane and solid geometry, and trigonometry.Lecture 2 hours per week. 2 credits

Prerequisites: Competency in Math Essentials MTE 1-4 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent. Part I of II.2 credits - MTH 111 - Basic Technical Mathematics
- Provides a foundation in mathematics with emphasis in arithmetic, unit conversion, basic algebra, geometry and trigonometry. This course is intended for CTE programs.3 credits
- MTH 115 - Technical Mathematics I
- Presents algebra through exponential and logarithmic functions, trigonometry, vectors, analytic geometry, and complex numbers.Lecture 3 hours per week. 3 credits

Prerequisites: Competency in Math Essentials MTE 1-6 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent. Part I of II.3 credits - MTH 116 - Technical Mathematics II
- Presents algebra through exponential and logarithmic functions, trigonometry, vectors, analytic geometry, and complex numbers.Lecture 3 hours per week. 3 credits

Prerequisites: Competency in Math Essentials MTE 1-6 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent. Part II of II.3 credits - MTH 120 - Introduction to Mathematics
- Introduces number systems, logic, basic algebra, and descriptive statistics.Lecture 3 hours per week. 3 credits

Prerequisites: Competency in Math Essentials MTE 1-3 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent. (Intended for occupational/technical programs.)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.Lecture 3 hours per week. 3 Credits

Prerequisites: Competency in Math Essentials MTE 1-3 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent (Intended for occupational/technical programs.) Part I of II.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.Lecture 2-3 hours per week. 2-3 credits

Prerequisites: Competency in Math Essentials MTE 1-3 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent.2-3 credits - 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.

Prerequisite(s): Competency in MTE 1-3 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 23 credits - 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.

Prerequisite(s): Competency in MTE 1-3 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 93 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.Lecture 3 hours per week. 3 credits

Prerequisites: Competency in Math Essentials MTE 1-3 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent. Part I of II.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.Lecture 3 hours per week. 3 credits

Prerequisites: Competency in Math Essentials MTE 1-5 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent.3 credits - MTH 150 - Topics in Geometry
- Presents the fundamentals of plane and solid geometry and introduces non-Euclidean geometries and current topics.Lecture 3 hours per week. 3 credits

Prerequisites: Competency in Math Essentials MTE 1-5 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent.3 credits - MTH 151 - Mathematics for the Liberal Arts I
- Presents topics in sets, logic, numeration systems, geometric systems, and elementary computer concepts.Lecture 3 hours per week. 3 credits

Prerequisites: Competency in Math Essentials MTE 1-5 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent.3 credits - MTH 152 - Mathematics for the Liberal Arts II
- Presents topics in functions, combinatorics, probability, statistics and algebraic systems.

Prerequisites: Competency in Math Essentials MTE 1-5 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent.3 credits - 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.Lecture 3 hours. Total 3 hours per week.

Prerequisite(s): Competency in MTE 1-5 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 4: Learning Support for Quantitative Reasoning3 credits - 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.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 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.)Lecture 3-4 hours per week. 3-4 credits

Prerequisites: Competency in Math Essentials MTE 1-5 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent.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 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.Lecture 3 hours. Total 3 hours per week.

Prerequisite(s): Competency in MTE 1-9 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 6: Learning Support for Precalculus I3 credits - 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.Lecture 3 hours. Total 3 hours per week.

Prerequisite(s): Placement or completion of MTH 161: Precalculus I or equivalent with a grade of C or better3 credits - MTH 163 - Precalculus I
- Presents college algebra, matrices, and algebraic, exponential, and logarithmic functions.Lecture 3 hours per week. 3 Credits

Prerequisites: Competency in Math Essentials MTE 1-9 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent. (Credit will not be awarded for both MTH 163 and MTH 166.)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.Lecture 4-5 hours per week. 4-5 credits

Prerequisite: Competency in Math Essentials MTE 1-9 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent. (Credit will not be awarded for both MTH 163 and MTH 166).4-5 credits - 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.Lecture 5 hours. Total 5 hours per week.

Prerequisite(s): Competency in MTE 1-9 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 7: Learning Support for Precalculus w/ Trigonometry5 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 engineering 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 175 - Calculus of One Variable I
- Presents differential calculus of one variable including the theory of limits, derivatives, differentials, antiderivatives and applications to algebraic and transcendental functions. Designed for mathematical, physical, and engineering science programs. 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.)Lecture 3 hours per week.

3 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 transcendental functions. Designed for mathematical, physical, and engineering 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 177 - Introductory Linear Algebra
- Covers matrices, vector spaces, determinants, solutions of systems of linear equations, and Eigen values. Designed for mathematical, physical, and engineering science programs. Corequisite: MTH 175.Lecture 2 hours per week.

2 credits - MTH 178 - Topics in Analytic Geometry
- Covers conic sections, polar and parametric equations, polar and parametric graphing, and calculus with vector valued functions. Designed for mathematical, physical, and engineering science programs. Prerequisite: 175, Corequisite: MTH 176.Lecture 2 hours per week.

2 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 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 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 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.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 246 - Statistics II
- Completion of MTH 245: Statistics I or equivalent with a grade of C or betterLecture 3 hours. Total 3 hours per week.

Prerequisite: Completion of MTH 245 or equivalent with a grade of C or better.3 credits - 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.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 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.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 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.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 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.

Completion of MTH 264: Calculus II or equivalent with a grade of C or better4 credits - 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 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 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 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 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 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