Programs of study (curricula) designate specific courses that must be taken to satisfy requirements.  When elective courses are required as specified in curriculum guides, students may select from the following list of courses. Electives may be completed by selecting any of the following courses. Unless specifically indicated in your curriculum, the following electives will meet the requirements for CVCC associate degrees, certificates, diplomas and career studies certificates for the category of courses listed. Students may not use the same course to satisfy more than one curriculum requirement.

As requirements of four-year institutions may vary, students in the Associate of Arts and Sciences and the Associate of Science (transfer) programs should consult a CVCC counselor or academic advisor, transfer guides, and prospective four-year colleges and universities to select appropriate courses to meet transfer requirements.

*Note: Some of these courses have prerequisites.

Any of the following may satisfy this requirement at CVCC. If you plan to transfer, please consult with an advisor or prospective four-year institutions before selecting electives.

Click the course name to see when it's offered.

MTH 154 - Quantitative Reasoning (3 cr.)

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 per week.

MTH 155 - Statistical Reasoning (3 cr.)

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 per week.

MTH 158 - College Algebra (3 cr.)

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.

MTH 161 - Precalculus I (3 cr.)

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 per week.

MTH 162 - Precalculus II (3 cr.)

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 per week.  Prerequisite:  Completion of MTH 161 with a grade of C or better.

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 per week.

MTH 245 - Statistics I (3 cr.)

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 per week.  Prerequisite:   Completion of MTH 154 or MTH 161  with a grade of C or better .

MTH 246 - Statistics II (3 cr.)

Description: 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 per week.  Prerequisite:  Completion of MTH 245: Statistics I or equivalent with a grade of C or better.

MTH 261 - Applied Calculus I (3 cr.)

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 per week.  Prerequisite: Completion of MTH 161 with a grade of C or better. Lecture 3 hours per week.

MTH 262 - Applied Calculus II (3 cr.)

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 per week.  Prerequisite: Completion of MTH 261 with a grade of C or better. Lecture 3 hours per week.

MTH 263 - Calculus I (4 cr.)

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 per week.  Prerequisite: Completion of MTH 161/162 or 167 with a grade of C or better. Lecture 4 hours per week.

MTH 264 - Calculus II (4 cr.)

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.  Prerequesite:  Completion of MTH 263 with a grade of C or better.  Lecture 4 hours per week.

MTH 265 - Calculus III (4 cr.)

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.  Prerequesite:  Completion of MTH 264 with a grade of C or better.  Lecture 4 hours per week.

MTH 266 - Linear Algebra (3 cr.)

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.  Prerequesite:  Completion of MTH 263 with a grade of B or better or MTH 264 with a grade of C or better.  Lecture 3 hours per week.

MTH 267 - Differential Equations (3 cr.)

Introduces ordinary differential equations. Includes first order differential equations, second and higher order ordinary differential equations with applications and numerical methods.  Prerequesite:  Completion of MTH 264  with a grade of C or better.  Lecture 3 hours per week.