# View Descriptor

## Descriptor Details

• Single Variable Calculus II Late Transcendentals
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• 4.0
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• Uploaded: 10/12/2017 04:43:58 PM PDT

## General Description

A second course in differential and integral calculus of a single variable: integration; techniques of integration; infinite sequences and series; polar and parametric equations; applications of integration.  Primarily for Science, Technology, Engineering & Math Majors.

## Prerequisites

Single Variable Calculus I Late Transcendentals (Math 211, CAN 18).

## Content

1. Derivatives and integrals of inverse functions and transcendental functions such as trigonometric, exponential or logarithmic;
2. Indeterminate forms and L'Hopital's Rule;
3. Additional techniques of integration including integration by parts and trigonometric substitution;
4. Numerical integration; trapezoidal and Simpson's rule;
5. Improper integrals;
6. Additional applications such as work, volumes, arc length, area of a surface of revolution, moments and centers of mass, separable differential equations, growth and decay;
7. Introduction to sequences and series;
8. Multiple tests for convergence of sequences and series;
9. Power series, radius of convergence, interval of convergence;
10. Differentiation and integration of power series;
11. Taylor series expansion of functions;
12. Parametric equations and calculus with parametric curves; and
13. Polar curves and calculus in polar coordinates.

## Objectives

Upon successful completion of the course, students will be able to:

1. Evaluate indeterminate forms using L'Hopital's Rule;
2. Find derivatives of transcendental functions;
3. Evaluate definite and indefinite integrals using a variety of integration formulas and techniques;
4. Use integration to solve applications such as work or length of a curve;
5. Evaluate improper integrals;
6. Apply convergence tests to sequences and series;
7. Represent functions as power series; an
8. Graph, differentiate and integrate functions in polar and parametric form.

## Evaluation Methods

Tests, examinations, homework or projects where students demonstrate their mastery of the learning objectives and their ability to devise, organize and present complete solutions to problems.

## Textbooks

A college level textbook designed for science, technology, engineering and math majors, and supporting the learning objectives of this course.

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