# Mathematics Courses

Below is a list of the courses offered at ECTC. You can also see a visual representation in the following flowchart (PDF).

## DEVELOPMENTAL COURSES

#### Prerequisite

#### Description

Includes operations on integers, decimals and fractions. Introduces exponents, square roots, percents, ratios, proportions, prime factorization, basic geometry, algebraic expressions, basic linear equations, and applications. 3 credit hours.

#### Can Lead to:

MAT 065 Basic Algebra

#### Prerequisite

MAT 055 or math placement examination

#### Description

Includes linear equations and inequalities, integer exponents, polynomials, factoring, equations of lines and their graphs, systems of linear equations, and applications. 3 credit hours.

#### Can Lead To

- MAT 085 Intermediate Algebra
- MAT 105 Business Mathematics
- MAT 110 Applied Mathematics
- MAT 116 Technical Mathematics

#### Prerequisite

MAT 065 or math placement examination.

#### Description

Includes rational expressions, radical expressions, rational exponents, graphing parabolas, inequalities, equations of lines, functions and applications, with emphasis on solving quadratic, rational, and radical equations. 3 credit hours.

#### Can Lead To

- MAT 146 Contemporary College Mathematics
- MAT 150 College Algebra
- MAT 154 Trigonometry (2 hour)
- MAT 155 Trigonometry (3 hour)
- MAT 159 Analytic Geometry and Trigonometry

## APPLIED AND TECHNICAL COURSES

#### Prerequisite

MAT 065 or equivalent as determined by math placement examination.

#### Description

Covers basic mathematical concepts as applied to finance. Includes percentages, simple and compound interest, annuities, sinking funds, depreciation, and consumer debt, including installment buying, credit cards, and mortgages. 3 credit hours.

#### Can Lead To

- Terminal Course

#### Prerequisite

MAT 065 or equivalent as determined by math placement examination.

#### Description

Includes the concepts of ratio and proportion, units and conversions, linear equations in two variables inequalities, graphing and writing equation of a line, percents, interest, descriptive statistics, and logical symbolism. Emphasizes applications in the various technologies. 3 credit hours.

#### Can Lead To

- Terminal Course

#### Prerequisite

MAT 065 or equivalent as determined by math placement examination.

#### Description

Includes some mathematical concepts from algebra, geometry, and trigonometry and applications relevant to these topics. Includes unit conversions, variation, measurement of geometric figures, vectors, and solving right and oblique triangles using trigonometry. Emphasizes applications in the various technologies. 3 credit hours.

#### Can Lead To

- Terminal Course

TRANSFERABLE COLLEGE COURSES

#### Prerequisite

Successful completion of MAT 085 Intermediate Algebra, MAT 126, or equivalent as determined by math placement exam recommendation.

#### Description

Serves as a course in quantitative reasoning and problem solving intended for non-science majors. Includes voting methods, finance, population growth, and at least two additional topics chosen from: apportionment geometry, logic, probability and statistics, graph theory, number theory, game theory, and set theory. 3 credit hours.

#### Can Lead To

- MAT 205 Mathematics For Elementary and Middle School Teachers I

#### Prerequisite

Successful completion of Intermediate Algebra, MAT 126, or equivalent as determined by math placement exam recommendation.

#### Description

Includes selected topics in algebra and analytic geometry. (Students may not receive credit for both MAT150 and any other College Algebra or Precalculus course. Credit not available on the basis of special exam.) 3 credit hours.

#### Can Lead To

- MAT 165 Finite Mathematics and its Applications
- MAT 170 Brief Calculus with Applications
- MAT 174 Calculus I
- MAT 205 Mathematics For Elementary and Middle School Teachers I

#### Prerequisite

Completion of a college intermediate algebra course or two years of high school algebra.

#### Description

Includes trigonometric functions, identities, multiple analytic formulas, laws of sines and cosines, graphs of trigonometric functions, and inverse trigonometric functions. 2 credit hours.

#### Can Lead To

- MAT 174 Calculus I

#### Prerequisite

Successful completion of Intermediate Algebra, MAT 126, or equivalent as determined by math placement exam recommendation.

#### Description

Includes the trigonometric functions, identities, multiple analytic formulas, laws of sines and cosines graphs of trigonometric functions in rectangular and polar coordinates, and solving trigonometric equations. Emphasizes applications in each topic. (Students may not receive credit for both MAT155 and any other trigonometry or precalculus course.) 3 credit hours.

#### Can Lead To

- MAT 174 Calculus I

#### Prerequisite

- Two years of high school algebra and a Math ACT score of 19 or above
- MA 108R (UK)
- math placement exam recommendation.

#### Description

Includes trigonometric functions, trigonometric identities, graphs of trigonometric functions, and inverse trigonometric functions, polynomial and rational functions, the Algebra of functions, exponential and logarithmic functions, and systems of equations. The course is not available for credit by special examination. The course is not available for credit to persons who have received credit for college algebra or trigonometry course. 4 credit hours.

#### Can Lead To

- MAT 174 Calculus I

#### Prerequisite

MAT 150 College Algebra or equivalent.

#### Description

Examines finite mathematics with applications to business, biology and the social sciences including linear functions and inequalities, matrix algebra, linear programming, probability with emphasis on setting up mathematical models from stated problems. 3 credit hours.

#### Can Lead To

- Terminal Course

#### Prerequisite

- Successful completion of MAT 150
- Math ACT 27 or above.
- Math placement exam recommendation.

#### Description

Provides an introduction to differential and integral calculus with applications in biological sciences, social sciences, physical sciences, or business with an analysis of algebraic, exponential, and logarithmic functions. (Students may not receive credit for both MAT 170 and MAT 175.) 3 credit hours.

#### Can Lead To

- Terminal Course

#### Prerequisite

- MATH ACT score of 27 or above
- MAT 150 and MAT 154
- MAT 159
- consent of instructor

#### Description

Includes topics from analytic geometry, derivatives and integrals of elementary functions, trigonometric functions, exponential functions, and logarithmic functions, and their applications. A course in one variable calculus. 4 credit hours.

#### Can Lead To

- MAT 184 Calculus II

#### Prerequisite

MAT 174 Calculus I with a grade of C or above.

#### Description

Stresses techniques of integration and infinite series. Includes transcendental functions and polar coordinates. A continuation of MAT 174. 4 credit hours.

#### Can Lead To

- MAT 213 Calculus III

#### Prerequisite

MAT 146 or MAT 150 or equivalent, with a minimum grade of C.

#### Description

Introduces problem solving, number and numeration systems, whole numbers, integers, rational and irrational numbers, and elementary number theory. Requires demonstration of basic skills in mathematics to receive credit in this course. 3 credit hours.

#### Can Lead To

- MAT 206 Mathematics For Elementary and Middle School Teachers II

#### Prerequisite

MAT 146 or MAT 150 or equivalent, with a minimum grade of C.

#### Description

Introduces probability and statistics; geometric concepts including congruence and similarity; and measurement. Required demonstration of basic skills in mathematics to receive credit in this course. 3 credit hours.

#### Can Lead To

- Terminal Course

#### Prerequisite

Consent of instructor.

#### Description

Investigates topics from classical number theory, including discussions of mathematical induction, prime numbers, division algorithms, congruences, and quadratic reciprocity. 3 credit hours.

#### Can Lead To

- Terminal Course

#### Prerequisite

Successful completion of Calculus II.

#### Description

Examines multivariate calculus. Includes partial differentiation, multiple integration, vector calculus, and selected topics from linear algebra including matrices, linear independence of vectors, linear transformations, characteristic values and vectors. Offered primarily for STEM majors.

#### Can Lead To

- MAT 214 Calculus IV

#### Prerequisite

Successful completion of Calculus III with Linear Algebra.

#### Description

Focuses primarily on first and second order equations. Includes matrix solutions of systems of linear differential equations, both homogeneous and nonhomogeneous. Also includes series solutions, Bessel equations, Laplace transforms, and operator methods. Primarily for STEM majors.

#### Can Lead To

- Terminal Course