Course Descriptions for: MTH

Mathematics

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. Prerequisite: Qualifying placement into MTH 111. Lecture 3 hours per week.

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. Prerequisites: Qualifying placement into MTH 130. Lecture 3 hours per week.

MTH 131 - Technical Mathematics

Presents algebra through unit conversion, trigonometry, vectors, geometry, and complex numbers. This course is intended for CTE programs. Prerequisites: Qualifying placement into MTH 131. Lecture 3 hours per week.

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: Qualifying placement into MTH 154 or qualifying placement into MTH 154 with co-enrollment in MDE 54. This is a passport transfer course. 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. Qualifying placement into MTH 155 or qualifying placement into MTH 155 with co-enrollment in MDE 55. This is a passport transfer course. Lecture 3 hours per week.

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. Prerequisite: Qualifying placement into MTH 161 or qualifying placement into MTH 161 with co-enrollment in MDE 61. This is a passport transfer course. Lecture 3 hours per week.

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.
Prerequisite: MTH 161 or equivalent with a C or better. This is a passport transfer course. Lecture 3 hours per week.

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. Prerequisite: Competency in MTE 1-9 as demonstrated through placement or unit completion or equivalent. This is a passport transfer course. Lecture 5 hours per week.

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. Prerequisite: Completion of MTH 154 or MTH 161 with a grade of C or better. This is a passport transfer course. Lecture 3 hours per week.

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. Lecture 3 hours per week.

MTH 263 - Calculus I

Presents concepts of limits, derivatives, differentiation of various types of functions and use of differentiation rules, application of differentiation, anti-derivatives, integrals and applications of integration. Prerequisite: Completion of MTH 161/162 or 167 with a grade of C or better. This is a passport transfer course. Lecture 4 hours per week.

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 or equivalent with a grade of C or better. This is a passport transfer course. 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 with a grade of C or better. Lecture 4 hours per week.

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 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

Introduces ordinary differential equations. Includes first order differential equations, second and higher order ordinary differential equations with applications and numerical methods. Prerequisite: Completion of MTH 264 with a grade of C or better. Lecture 4 hours per week.