MATH2413

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Calculus I

University TransferMathematicsUndergraduate Credit

Course Description

(4-4-0) Core Area 090 This course is taken for academic credit. (Prerequisite: MATH 2312) Students will earn an A, B, C, D, F, or W. Limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental functions, with an application to calculation of areas.

Academic Level

Undergraduate Credit

CIP Code

27.0101 - Mathematics, General

Course Type (Attributes)

General Academic (ACGM) (ACGM)

Locations

Athens (01), Terrell Satellite (03), Online (06), Dual Credit - High School (09), Palestine Satellite (02)

This is a Coursedog only field and is not integrated with the SIS.

Objective

Develop solutions for tangent and area problems using the concepts of limits, derivatives, and integrals.

Objectives

Develop solutions for tangent and area problems using the concepts of limits, derivatives, and integrals.

Objective

Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point.

Objectives

Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point.

Objective

Determine whether a function is continuous and/or differentiable at a point using limits.

Objectives

Determine whether a function is continuous and/or differentiable at a point using limits.

Objective

Use differentiation rules to differentiate algebraic and transcendental functions.

Objectives

Use differentiation rules to differentiate algebraic and transcendental functions.

Objective

Identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems.

Objectives

Identify appropriate calculus concepts and techniques to provide mathematical models for real-world situations and determine solutions to applied problems.

Objective

Evaluate definite integrals using the Fundamental Theorem of Calculus.

Objectives

Evaluate definite integrals using the Fundamental Theorem of Calculus.

Objective

Articulate the relationship between derivatives and integrals using the Fundamental Theorem of Calculus.

Objectives

Articulate the relationship between derivatives and integrals using the Fundamental Theorem of Calculus.