Mathematics (MTH) at Dabney S. Lancaster Community College


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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 Detailed Outline
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: Requires enrollment in an entry level course of an occupational program as defined as career/technical education.
1 credits
MTH 1 Detailed Outline
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 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 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 2
3 credits
MTH 130 Detailed Outline
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 3
3 credits
MTH 131 Detailed Outline
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 Reasoning
3 credits
MTH 154 Detailed Outline
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 155 Detailed Outline
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 I
3 credits
MTH 161 Detailed Outline
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 better
3 credits
MTH 162 Detailed Outline
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/ Trigonometry
5 credits
MTH 167 Detailed Outline
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 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 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
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 261 Detailed Outline
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 263 Detailed Outline
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 264 Detailed Outline
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 better
4 credits
MTH 265 Detailed Outline
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 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