MATH2414

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Calculus II

University TransferMathematicsUndergraduate Credit

Course Description

(4-4-0) Core Area 090 This course is taken for academic credit. (Prerequisite: MATH 2413) Students will earn an A, B, C, D, F, or W. Differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals.

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

Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.

Objectives

Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.

Objective

Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.

Objectives

Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.

Objective

Define an improper integral.

Objectives

Define an improper integral.

Objective

Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.

Objectives

Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.

Objective

Determine convergence or divergence of sequences and series.

Objectives

Determine convergence or divergence of sequences and series.

Objective

Use Taylor and MacLaurin series to represent functions.

Objectives

Use Taylor and Maclaurin series to represent functions.

Objective

Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.

Objectives

Use Taylor or Maclaurin series to integrate functions not integrable by conventional methods.

Objective

Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.

Objectives

Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.