## MAC - Mathematics/Calculus & Pre-Calculus

Prerequisite: Math placement test or minimum grade of "C" in MAT1033. A graphing calculator is required. The TI-83/84 are the only allowable calculators for test days. If a student wishes to use any other calculator they must see their instructor in advance for approval. Topics included are functions and functional notation, domains and ranges of functions, graphs of functions and relations, operations on functions. Several types of functions and their applications are studied such as quadratic functions, rational functions, absolute value functions, exponential and logarithmic functions. Systems of equations and systems of inequalities are presented.

**Credit hours:**3

**Lecture hours:**3

Prerequisite: Math placement test or minimum grade of "C" in MAC1105. A graphing calculator is required. The TI-83/84 are the only allowable calculators for test days. If a student wishes to use any other calculator they must see their instructor in advance for approval. Topics included are properties and graphs of trigonometric functions, properties and graphs of inverse trigonometric functions, trigonometric identities, conditional trigonometric equations, solutions of triangles, vector algebra, parametric equations, polar coordinates, and applications.

**Credit hours:**3

**Lecture hours:**3

Prerequisite: Math placement test or minimum grade of "C" in MAC1105. A graphing calculator is required. The TI-83/84 are the only allowable calculators for test days. If a student wishes to use any other calculator they must see their instructor in advance for approval. Topics included are properties and graphs of polynomial and rational functions, polynomial and rational inequalities, properties and graphs of exponential and logarithmic functions, piecewise defined functions, conic sections, matrices and determinants, sequences and series, mathematical induction, binomial theorem, and applications.

**Credit hours:**3

**Lecture hours:**3

(Offered fall, spring, and summer). Prerequisite: Math placement test or minimum grade of "C" in MAC1105. A graphing calculator is required. The TI-83/84 are the only allowable calculators for test days. If a student wishes to use any other calculator they must see their instructor in advance for approval. Topics included are properties and graphs of polynomial and rational functions, polynomial and rational inequalities, properties and graphs of exponential and logarithmic functions, piecewise defined functions, conic sections, matrices and determinants, sequences and series, mathematical induction, binomial theorem, and applications. NOTE: While MAC1114, Plane Trigonometry is not a prerequisite for MAC1140, Pre-Calculus Algebra, the math faculty at GCSC strongly suggest that you take MAC1140, Pre-Calculus before taking MAC1114, Plane Trigonometry.

**Credit hours:**3

Prerequisite: Minimum grade of "C" in MAC1105. A graphing calculator is required. The TI-83/84 are the only allowable calculators for test days. If a student wishes to use any other calculator they must see their instructor in advance for approval. Topics included are a review of algebraic preliminaries, rates of change and optimization methods, integration, and applications to business and social sciences.

**Credit hours:**3

**Lecture hours:**3

Prerequisite: Math placement test or minimum grade of "C" in MAC1140 and MAC1114. Placing into MAC2311 by only placement test scores requires permission of the mathematics division chair. To receive permission, the student who has not successfully completed MAC1114 (Plane Trigonometry) must verify successful completion (?C? or higher) of a trigonometry course at the high school level or higher. A graphing calculator is required. The TI-83/84 are the only allowable calculators for test days. If a student wishes to use any other calculator they must see their instructor in advance for approval. Topics included are limits and continuity; differentiation of logarithmic; exponential, trigonometric, and rational functions; related rates; hyperbolic functions, analysis of functions and their graphs; applications of the derivative; Newton's method; Rolle's Theorem; Mean-Value Theorem; L Hospital's rule, numeric integration; and integration. NOTE: For the Calculus sequence, the math faculty at GCSC strongly advise that students complete the entire sequence at a single institution. Course content may vary depending on the institutions. Completing the sequence assures that no content is lost in transfer.

**Credit hours:**4

**Lecture hours:**4

Prerequisite: Math placement test or minimum grade of "C" in MAC1140 and MAC1114. A graphing calculator is required. The TI-83/84 are the only allowable calculators for test days. If a student wishes to use any other calculator they must see their instructor in advance for approval. Topics included are families of functions, parametric equations; limits and continuity; differentiation of logarithmic; exponential, trigonometric, and rational functions; related rates; Simpson?s rule; hyperbolic functions, analysis of functions and their graphs; applications of the derivative; Newton's method; Rolle's Theorem; Mean-Value Theorem; and integration.

**Credit hours:**4

Prerequisite: Minimum grade of "C" in MAC2311. A graphing calculator is required. The TI-83/84 are the only allowable calculators for test days. If a student wishes to use any other calculator they must see their instructor in advance for approval. Topics included are applications of integrals, principles of integral evaluation, Hospital's rule, parametric equations, improper integrals, mathematical modeling with differential equations, infinite series, and topics in analytical geometry.

**Credit hours:**4

**Lecture hours:**4

Prerequisite: Minimum grade of "C" in MAC2312. A graphing calculator is required. The TI-83/84 are the only allowable calculators for test days. If a student wishes to use any other calculator they must see their instructor in advance for approval. Topics included are three dimensional space, vectors, vector-valued functions, partial derivatives, and multiple integrals.

**Credit hours:**4

**Lecture hours:**4

Prerequisite: Minimum grade of "C" in MAC2312. A graphing calculator is required. The TI-83/84 are the only allowable calculators for test days. If a student wishes to use any other calculator they must see their instructor in advance for approval. Topics included are three dimensional space, vectors, vector-valued functions, partial derivatives, and multiple integrals.

**Credit hours:**4

1-3 crs. Cooperative Education courses may be taken toward completion of most of the Associate in Arts and Associate in Science degree programs. A maximum of six credit hours may be used in meeting the A.A. degree requirements. Prerequisite: Minimum of 2.0 GPA, meet with the co-op coordinator, and availability of co-op work experience slot. Supervised, practical work experience that seeks to combine theories and apply practical skills to projects in the student?s major field of study. Requirements include online weekly, mid-term, and end-of-term reflection assignments.

**Credit hours:**1-3

**Other hours:**1-3