Mathematics (MTH)


 
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MTH 90 - Coordinated Internship
Supervises on-the-job training in selected business, industrial or service firms coordinated by the college.
Credit/practice ratio not to exceed 1:5 hours. May be repeated for credit. Variable hours.
1-5 credits
MTH 93 - Studies In
Covers new content not covered in existing courses in the discipline. Allows instructor to explore content and instructional methods to assess the course's viability as a permanent offering.
Lecture 1-5 hours per week.
1-5 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 96 - On-Site Training
Specializes in career orientation and training program without pay in selected businesses and industry, supervised and coordinated by the college.
Credit/work ratio not to exceed 1:5 hours. May be repeated for credit. Variable hours.
1-5 credits
MTH 97 - Cooperative Education
Supervises in on-the-job training for pay in approved business, industrial and service firms, coordinated by the college's cooperative education office. Is applicable to all occupational- technical curricula at the discretion of the college.
Credit/work ratio not to exceed 1:5 hours. May be repeated for credit. Variable hours.
1-5 credits
MTH 98 - Seminar and Project
Requires completion of a project or research report related to the student's occupational objectives and a study of approaches to the selection and pursuit of career opportunities in the field.
May be repeated for credit. Variable hours.
1-5 credits
MTH 99 - 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
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.
Lecture 3 hours. Total 3 hours per week.
3 credits
MTH 111 Detailed Outline (VCCS Faculty & Staff Only) icon
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.
3 credits
MTH 130 Detailed Outline (VCCS Faculty & Staff Only) icon
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.
3 credits
MTH 131 Detailed Outline (VCCS Faculty & Staff Only) icon
MTH 132 - Business Mathematics
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. This course is intended for occupational/technical programs.
Lecture 3 hours. Total 3 hours per week.
3 credits
MTH 132 Detailed Outline (VCCS Faculty & Staff Only) icon
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.
3 credits
MTH 133 Detailed Outline (VCCS Faculty & Staff Only) icon
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 and UCGS transfer course.
Lecture 3 hours. Total 3 hours per week.
3 credits
MTH 154 Detailed Outline icon
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 and UCGS transfer course.
Lecture 3 hours, Total 3 hours per week.
3 credits
MTH 155 Detailed Outline icon
MTH 156 - Elementary Geometry
Presents the fundamentals of plane and solid geometry and introduces non-Euclidean geometries and current topics.
Lecture 3 hours. Total 3 hours per week.
3 credits
MTH 156 Detailed Outline icon
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 and UCGS transfer course.
Lecture 3 hours. Total 3 hours per week.
3 credits
MTH 161 Detailed Outline icon
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 and UCGS 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 icon
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.
3 credits
MTH 165 Detailed Outline icon
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 and UCGS transfer course.
Lecture 5 hours. Total 5 hours per week.
5 credits
MTH 167 Detailed Outline icon
MTH 190 - Coordinated Internship
Supervises on-the-job training in selected business, industrial or service firms coordinated by the college.
Credit/practice ratio not to exceed 1:5 hours. May be repeated for credit. Variable hours.
1-5 credits
MTH 193 - Studies In
Covers new content not covered in existing courses in the discipline. Allows instructor to explore content and instructional methods to assess the course's viability as a permanent offering.
Lecture 1-5 hours per week.
1-5 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 196 - On-Site Training
Specializes in career orientation and training program without pay in selected businesses and industry, supervised and coordinated by the college.
Credit/work ratio not to exceed 1:5 hours. May be repeated for credit. Variable hours.
1-5 credits
MTH 197 - Cooperative Education
Supervises in on-the-job training for pay in approved business, industrial and service firms, coordinated by the college's cooperative education office. Is applicable to all occupational- technical curricula at the discretion of the college.
Credit/work ratio not to exceed 1:5 hours. May be repeated for credit. Variable hours.
1-5 credits
MTH 198 - Seminar and Project
Requires completion of a project or research report related to the student's occupational objectives and a study of approaches to the selection and pursuit of career opportunities in the field.
May be repeated for credit. Variable hours.
1-5 credits
MTH 199 - 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
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 and UCGS 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 icon
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 icon
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 and UCGS 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 icon
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 icon
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 and UCGS 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 icon
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 UCGS 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 icon
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 icon
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 icon
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 icon
MTH 280 - College Geometry
Presents topics in Euclidean and non-Euclidean geometries chosen to prepare individuals for teaching geometry at the high school level or for other areas of study applying geometric principles. Studies Euclid's geometry and its limitations, axiomatic systems, techniques of proof, and Hilbert's geometry, including the parallel postulates for Euclidean, hyperbolic, and elliptic geometries.
Lecture 3 hours. Total 3 hours per week.
Prerequisite: Completion of MTH 263 with a grade of C or better or equivalent.
3 credits
MTH 280 Detailed Outline icon
MTH 281 - Introductory Abstract Algebra
Introduces groups, isomorphisms, fields, homomorphisms, rings, and integral domains. Applicable to some education licensure programs; not intended for STEM majors.
Lecture 3 hours. Total 3 hours per week.
Prerequisite: Completion of MTH 263 with a grade of C or better or equivalent.
3 credits
MTH 281 Detailed Outline icon
MTH 283 - Probability and Statistics
Presents basic concepts of probability, discrete and continuous random variables, and probability distributions. Presents sampling distributions and the Central Limit Theorem, properties of point estimates and methods of estimation, confidence intervals, hypothesis testing, linear models and estimation by least squares, and analysis of variance.
Lecture 3 hours. Total 3 hours per week.
Prerequisite: Completion of MTH 264 with a grade of C or better or equivalent.
3 credits
MTH 283 Detailed Outline icon
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 icon
MTH 289 - Differential Equations Extended
Presents systems of differential equations, power series solutions, Fourier series, Laplace transform and Fourier transform, partial differential equations, and boundary value problems. Designed as math elective course for mathematical, physical, and engineering science programs.
Lecture 3 hours. Total 3 hours per week.
Prerequisite: Completion of MTH 267 with a grade of C or better or equivalent.
3 credits
MTH 289 Detailed Outline icon
MTH 290 - Coordinated Internship
Supervises on-the-job training in selected business, industrial or service firms coordinated by the college.
Credit/practice ratio not to exceed 1:5 hours. May be repeated for credit. Variable hours.
1-5 credits
MTH 293 - Studies In
Covers new content not covered in existing courses in the discipline. Allows instructor to explore content and instructional methods to assess the course's viability as a permanent offering.
Lecture 1-5 hours per week.
1-5 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
MTH 296 - On-Site Training
Specializes in career orientation and training program without pay in selected businesses and industry, supervised and coordinated by the college.
Credit/work ratio not to exceed 1:5 hours. May be repeated for credit. Variable hours.
1-5 credits
MTH 297 - Cooperative Education
Supervises in on-the-job training for pay in approved business, industrial and service firms, coordinated by the college's cooperative education office. Is applicable to all occupational- technical curricula at the discretion of the college.
Credit/work ratio not to exceed 1:5 hours. May be repeated for credit. Variable hours.
1-6 credits
MTH 298 - Seminar and Project
Requires completion of a project or research report related to the student's occupational objectives and a study of approaches to the selection and pursuit of career opportunities in the field.
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