Course Details

Richard Bland College

MATH252: Calculus II

Topics include analytic geometry, limits and continuity of functions, derivatives and applications, anti-derivatives, applications of integration, transcendental functions, techniques of integration, elementary differential equations, improper integrals, sequences and series, power series, Taylor series, parametric equations, and polar coordinates. (Credit will not be given for both MATH 251 and MATH 200.)

Overview

UCGS

UCGS Block V-Mathematics

The Uniform Certificate of General Studies (UCGS) is a 30-credit hour program where all courses shall be transf

Passport

Passport Block V-Mathematics

The Passport is a 16-credit hour two-year college program in which all courses are transferable and shall satis

Delivery Method

Online

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Delivery Method

Campus

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Delivery Method

Hybrid

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Credits

4.0

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Department

Natural Science and Mathematics

Course Notes

Continuous course. Four hours lecture. UCGS and Passport approved course, 2021.

Learning Objectives and Outcomes

Using the rules of integration and the substitution technique, evaluate various definite and indefinite integral functions and forms, including trigonometric, inverse trigonometric, hyperbolic, inverse hyperbolic, and logarithmic, and define the hyperbolic
Solve applications of integration, including areas under curves, volumes of solids of revolution (disc and shell methods), work, and fluid force problems.
Use the separation of variables technique to solve the differential equation associated with exponential growth/decay, apply this technique to solve growth/decay applications (including Newton’s Law of Cooling and radioactive decay), and solve first-order
Evaluate definite and indefinite integrals using various advanced integration techniques, including integration by parts, trigonometric integrals, trigonometric substitution, partial fractions, and improper integrals.
Determine the convergence/divergence of infinite sequences and series, including using the Nth-Term Test for Divergence, P-Series, the Integral Test, the Direct and Limit Comparison Tests, the Ratio Test, the Root Test, and the Alternating Series Test.
Derive power series, Taylor polynomials, Taylor series, and Maclaurin series generated by various functions and determine intervals on which these series converge to their generating functions.
Convert points and equations between polar and rectangular coordinate systems, graph parametric and polar equations, and find areas of polar graphs.

Where Will This Course Transfer?

Institution	Identifier	Name	Notes	Level
Central Virginia Community College	MTH264	Calculus II		2-Year
J Sargeant Reynolds Community College	MTH264	Calculus II		2-Year
Paul D. Camp Community College	MTH264	Calculus II		2-Year
Southwest Virginia Community College	MTH264	Calculus II		2-Year
Virginia Highlands Community College	MTH264	Calculus II		2-Year
Christopher Newport University	MATH240	Intermediate Calculus		4-Year
Longwood University	MATH262	Differen and Int Calculus II		4-Year
Radford University	MATH172	Calculus and Analytic Geometry II		4-Year
The University of Virginia's College at Wise	MTH2050	CALCULUS II		4-Year
George Mason University	MATH114	Analytic Geometry and Calculus II		4-Year
Norfolk State University	MTH251	Calculus II		4-Year
William & Mary	MATH112	Calculus II		4-Year
Old Dominion University	MATH2ELE	N/A		4-Year
University of Mary Washington	MATHNOTMJ	Elective	NOTMJ indicates this is not a major elective. General elective credit will apply to the overall credits needed to graduate.	4-Year
University of Mary Washington	MATH122	Calculus II		4-Year
Virginia Polytechnic Institute and State University	MATH1226	Calculus of a Single Variable		4-Year
Marymount University	MA901	Mathematics Transfer Credit UG		4-Year
Shenandoah University	MATH202	Calculus & Analytic Geom II		4-Year
Virginia Commonwealth University	MATH201	CALCULUS ANALYTIC GEOMETRY II		4-Year
Emory & Henry College	MATH152	Calculus II		4-Year