This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

# Calculus II -- Fall 2014

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MTH 230 - Calculus with Analytic Geometry II. Applications of the integral, techniques of integration, and infinite series. A study of conic sections, polar coordinates, and parametric equations. (PR: MTH 229 or IST 230)

• Time and Place: 2:00 pm - 2:50 pm MTWR, Smith Hall 516
• Instructor: Peter Saveliev (call me Peter)
• Office: Smith Hall 713
• Office Hours: MTR 3:00-4:30 (walk-in), or by appointment
• Office Phone: x4639
• E-mail: saveliev@marshall.edu
• Class Web-Page: math02.com
• Prerequisites: excellent algebra skills, good understanding of limits, the derivative, and the integral, fluent differentiation -- Calculus 1
• Text: Calculus by Rogawski, Chapters 6 - 11
• Computer Restrictions: no better than graphic calculator TI-83 or TI-83+
• Outcomes: the student will learn to integrate fluently, apply integration, use infinite series, become familiar with introductory multivariable calculus.
• Activities: the student will practice each outcome via the homework given in the textbook and online.
• Evaluation: the student achievement of each outcome will be assessed via
• Grade Breakdown: TOTAL = .05×A + .40×(Q + H) + .20×M + .35×F
• attendance and participation: 5%
• quizzes and online homework: 40%
• midterm: 20%
• final exam: 35%

For details, see Course policy.

Mathematics Tutor Lab: Smith Music 115

## Lectures

They will appear exactly as you see them in class and, as the course progresses, will be updated weekly.

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## Schedule

• week 1, 8/25: First HW called Review_set is due Friday 8/29 at midnight. Quiz

6.1 Area Between Two Curves 6.2 Setting Up Integrals: Volume, Density, Average Value

• week 2, 9/1: Second HW called Sections6.1-6.5 is due Friday 9/5 at midnight. Quiz

6.3 Volumes of Revolution

• week 3, 9/8: Third HW called Sections6.5-7.3 is due Friday 9/12 at midnight. Quiz

6.5 Work 7.1 Integration by parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution

• week 4, 9/15: Fourth HW called Sections7.3-8.1 is due Friday 9/19 at midnight. Quiz

7.6 Improper integrals 7.8 Numerical integration

• week 5, 9/22: Fifth HW called Sections8.1-8.3 is due Friday 9/26 at midnight. Quiz

Chapter 8: Further Applications of the Integral and Taylor Polynomials

8.1 Arc Length and Surface Area 8.3 Center of mass

• week 6, 9/29: Sixth HW called Sections8.3-8.4 is due Friday 10/3 at midnight. Quiz

8.4 Taylor Polynomials

• week 7, 10/6: Seventh HW called Sections8.4-10.2 is due Friday 10/10 at midnight. Quiz

Chapter 10: Infinite Series

10.1 Sequences

• week 8, 10/13: Eighth HW called Sections10.1-10.2 is due Friday 10/17 at midnight. Quiz

Midterm: Monday, October 13

10.2 Summing an series

• week 9, 10/20: Ninth HW called Sections10.2-10.3 is due Friday 10/24 at midnight. Quiz

10.3 Convergence of Series with Positive Terms

• week 10, 10/27: Tenth HW called Sections10.3-10.5 is due Friday 10/31 at midnight. Quiz

10.4 Absolute and Conditional Convergence 10.5 The Ratio and Root Tests

• week 11, 11/3: Eleventh HW called Sections10.5-10.7 is due Friday 11/7 at midnight.

10.6 Power Series

• week 12, 11/10: Twelfth HW called Sections10.6-10.7 is due Friday 11/14 at midnight. Quiz

10.7 Taylor series

Chapter 11: Parametric Equations, Polar Coordinates, and Conic Sections

11.1 Parametric curves Parametric Equations

• week 13, 11/17: Thirteenth HW called Sections10.7-11.1 is due Friday 11/21 at midnight. Quiz Quiz

11.2 Arc length and Speed 11.3 Polar Coordinates

THANKSGIVING BREAK

• week 14, 12/1: Fourteenth HW called Sections11.1-11.3 is due Friday 12/05 at midnight. Quiz

## Exams

Upcoming:

Each old exam is a small (<5%) sample of the types of problems that may appear: