Math 1297

Mathematics & Statistics Department


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Math 1297: Calculus II

Credits: 5

Prerequisites: 1290, 1296 or 1596

Grading: A-F only

Liberal Education Category:
Category Satisfied: CATEGORY TWO: Math, Logic and Critical Thinking
Liberal Education Goals and Objectives: By the end of the term, the successful student will understand the important role that calculus plays in modeling real-world phenomena and how to apply calculus to problems in his/her discipline. Business, economics, biology, geology, chemistry, physics, engineering and numerous other disciplines make heavy use of calculus. Whenever numerical quantities change with respect to time or with respect to other variables, calculus is probably involved. The incredible success of the physical sciences and engineering in today's world is largely due to "the unreasonable effectiveness of mathematics," and calculus plays a major role in that effectiveness! The biological social and managerial scientists today also make tremendous use of calculus to solve their problems.

Course Description:
This course covers the second part of a standard introduction to calculus. It in includes discussion of parametric equations and polar coordinates, applications of integrals, series, and partial derivatives.

Text: Calculus, 8E Early Transcendentals, James Stewart, 2016.

Course Content:

**Included as time permits

Chapter

Section

7 Integration Techniques

7.1 Integration by Parts

7.2 Trigonometric Integrals

7.3 Trigonometric Substitution

7.4 Integration of Rational Functions by Partial Fractions

7.5 Strategy for Integration

7.6 Integration Using Tables

7.7 Approximate Integration

7.8 Improper Integrals

 

8 Applications of Integration

8.1  Arc Length

8.2 Area of a Surface of Revolution

Choose a subset from the following (8.3-8.5):

8.3 Applications to Physics and Engineering

8.4 Applications to Economics and Biology

8.5 Probability

 

 

10 Parametric Equations

10.1 Curves Defined by Parametric Equations

10.2 Calculus with Parametric Curves

10.3 Polar Coordinates

10.4 Areas and Lengths in Polar Coordinates

 

11 Sequences and Series

11.1 Sequences

11.2 Series

11.3 The Integral Test and Estimates of Sums

11.4 Comparison Tests

11.5 Alternating Series

11.6 Absolute Convergence and the Ratio and Root Tests

11.7 Strategy for Testing Series

11.8 Power Series

11.9 Representations of Functions as Power Series

11.10 Taylor Maclaurin Series

11.11 Applications of Taylor Polynomials

14 Partial Derivatives

 

Cover enough of chapter 14 so that they know how to do a partial derivative.

14.1 Functions of Several Variables

14.3 Partial Derivatives