## Mathematics (MTH) at Piedmont Virginia Community College

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- 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 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 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 23 credits - 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 33 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. 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 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. 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 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 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. 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 better3 credits - MTH 165 - Finite Math
- Presents topics in systems of equations, matrices, linear programming, mathematics of finance, counting theory, probability, and Markov Chains. Emphasis is placed on the development of mathematical skills that are then applied to business applications and models.Lecture 3 hours. Total 3 hours per week.

Prerequisite: MTE 1-9 or placement.3 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. This is a Passport Transfer course.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 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 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 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 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 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 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 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.

Completion of MTH 263, Calculus I with a grade of C or better or equivalent.3 credits