# Math 1297

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### Math 1297: Calculus II

Credits: 5

Prerequisites: 1290, 1296 or 1596

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:

 Chapter Section 7 Integration Techniques 7.1 Integration by Parts (review only) 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 8.3 Applications to Physics and Engineering 8.4 Applications to Economics and Biology** 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 10.5 Conic Sections 10.6 Conic Sections 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 14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives  14.5 The Chain Rule

** Included as time permits