Mathematics Courses | ECTC # Mathematics Courses

## DEVELOPMENTAL COURSES

#### Prerequisite

Math Placement Examination

#### Description

Prepares students to take College Algebra with College Algebra Workshop. Introduces operations on integers, decimals, and fractions; ratios, proportions, and percents; simplifying radicals and algebraic expressions; solving linear and quadratic equations; linear inequalities; solving formulas; factoring; slope and graphing lines. 4 credit hours.

• MAT 150/ MAT 100  College Algebra  with Workshop
• MAT 155 Trigonometry

## APPLIED AND TECHNICAL COURSES

#### Prerequisite

MAT 061 or 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.

• Terminal Course

#### Prerequisite

MAT 061 or 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.

• Terminal Course

#### Prerequisite

MAT 061 or 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.

• Terminal Course

## TRANSFERABLE COLLEGE COURSES

#### Description

Serves as a course in quantitative reasoning and problem solving intended for liberal arts majors. Includes voting methods, apportionment, interest and investments, probability, statistics, and geometry.

• MAT 205 Mathematics For Elementary and Middle School Teachers I

#### Prerequisite

MAT 061 or math placement exam

#### Description

Includes selected topics in algebra and analytic geometry. 3 credit hours.

• 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

#### Coerequisite

Enrollment in MAT 150.

#### Description

Provides parallel and supplemental review of algebra skills needed for success in MAT 150 college algebra. 2 credit hours.

#### Prerequisite

MAT 061 or math placement exam.

#### 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. 3 credit hours.

• 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.

• Terminal Course

#### Prerequisite

MAT 150

Math ACT 27 or above

math placement exam.

#### 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.

• Terminal Course

#### 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.

• 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.

• MAT 213 Calculus III

#### Prerequisite

MAT 141 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.

• 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.

• 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.

• 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.