VCCS Master Course File – Course Descriptions
MCR 4 – Learning Support for Quantitative Reasoning
Provides instruction for students who require minimum preparation for college- level Quantitative Reasoning. Students in this course will be co-enrolled in MTH 154. Credits are not applicable toward graduation and do not replace MTE courses waived. Successful completion of Quantitative Reasoning results in the prerequisite MTE modules being satisfied. Prerequisites: Completion of any three of the MTE modules 1-5 and Corequisite: MTH 154: Quantitative Reasoning. Variable hours per week. 1-2 credits
MCR 6 – Learning Support for Precalculus I
Provides instruction for students who require minimum preparation for college-level Precalculus. Students in this course will be co-enrolled in MTH 161. Credits not applicable toward graduation and do not replace MTE courses waived. Successful completion of Precalculus I results in the prerequisite MTE modules being satisfied. Prerequisites: Completion of any seven of the MTE modules 1-9 and Corequisite: MTH 161: Precalculus I. Variable hours per week. 1-2 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. Prerequisite: Competency in MTE 1-5 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 4: Learning Support for Quantitative Reasoning. Lecture: 3 hours per week.
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. Prerequisite: Competency in MTE 1-5 as demonstrated through placement or unit completion or equivalent or Co-requisite: MCR 5 Learning Support for Statistical Reasoning. (Credit will not be awarded for both MTH 155 Statistical Reasoning and MTH 245: Statistics I.) Lecture: 3 hours per week.
MTH 161 – Precalculus I
Presents topics in power, polynomial, rational, exponential, and logarithmic functions, and systems of equations. Prerequisite: Competency in MTE 1-9 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 6: Learning Support for Precalculus I. Lecture 3 hours per week. Credit will not be awarded for both MTH 161: Precalculus I and 167: Precalculus w/ Trig or equivalent.
MTH 162 – Precalculus II
Presents trigonometry, trigonometric applications including Law of Sines and Cosines, and an introduction to conics. Prerequisite: Placement or completion of MTH 161: Precalculus I or equivalent with a grade of C or better. Lecture 3 hours per week. Credit will not be awarded for both MTH 162 : Precalculus II and 167 : Precalculus w/ Trig or equivalent.
MTH 167 – Precalculus with Trigonometry
Presents topics in power, polynomial, rational, exponential, and logarithmic functions, systems of equations, trigonometry, trigonometric applications, including Law of Sines and Cosines, and an introduction to conics. Prerequisite: Competency in MTE 1-9 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 7: Learning Support for Precalculus w/ Trig. Lecture 5 hours per week. Credit will not be awarded for both MTH 167: Precalculus w/ Trig and 161/162: Precalculus I and II or equivalent.
MTH 245 – Statistics I
Presents an overview of statistics, including descriptive statistics, elementary probability, probability distributions, estimation, hypothesis testing, correlation, and linear regression. Prerequisite: Placement or completion of MTH 154: Quantitative Reasoning or MTH 161: Precalculus I or equivalent with a grade of C or better. Credit will not be awarded for both MTH 155: Statistical Reasoning and MTH 245: Statistics I or equivalent. Lecture: 3 hours per week.
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. Prerequisite: Completion of MTH 245: Statistics I or equivalent with a grade of C or better. Lecture: 3 hours per week. (Will likely be offered shared services only)
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. Prerequisite: Placement or completion of MTH 161: Precalculus I or equivalent with a grade of C or better. Lecture 3 hours per week.
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. Prerequisite: Completion of MTH 261: Applied Calculus I or equivalent with a grade of C or better. Lecture 3 hours per week. (Not currently offered at RCC)
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. Prerequisite: Placement or completion of MTH 167: Precalculus with Trig or MTH 161/162 Precalculus I/II or equivalent with a grade of C or better. Credits: 4
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. Prerequisite: Completion of MTH 263: Calculus I or equivalent with a grade of C or better. Lecture 4 hours per week.
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. Prerequisite: Completion of MTH 264: Calculus II or equivalent with a grade of C or better. Lecture 4 hours per week. (Not currently offered at RCC)
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. Prerequisite: Completion of MTH 263: Calculus I or equivalent with a grade of B or better or MTH 264: Calculus II or equivalent with a grade of C or better. Lecture 3 hours per week. (Not currently offered at RCC)
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. Prerequisite: MTH 264: Calculus II or equivalent with a grade of C or better. Lecture 3 hours per week.