Department of Mathematics and Computer Science
       MTH253 - Calculus (Other Topics)

Class Notes

The following links are the PowerPoint slides used in class. These files may be viewed, downloaded, and/or printed as needed.

Chapter 10
Conic Sections and Polar Coordinates
Chapter 11
Infinite Sequences and Series
10.1 - Conic Sections and Quadratic Equations 11.0 - Review of Methods for Evaluating Limits
10.2 - Classifying Conic Sections by Eccentricity 11.1 - Sequences
10.3 - Quadratic Equations and Rotations
             ~~~ Conics Rotations Calculator ~~~
11.2 - Infinite Series
Chapter 10 Part 1 Overview (10.1-3) 11.3 - The Integral Test
10.4 - Conics and Parametric Equations: The Cycloid 11.4 - Comparison Tests
10.5 - Polar Coordinates 11.5 - The Ratio and Root Tests
10.6 - Graphing in Polar Coordinates 11.6 - Alternating Series, Absolute and Conditional Convergence
10.7 - Areas and Lengths in Polar Coordinates
Convergence Tests Virtual Flash Cards
Chapter 11 Part 1 Overview (11.0-6)
10.8 - Conic Sections in Polar Coordinates 11.7 - Power Series
Chapter 10 Part 2 Overview (10.5-8) 11.8 - Taylor and Maclaurin Series
  11.9 - Convergence of Taylor Series; Error Estimates
Additional presentation of the conic sections.
(This web site gives a complete presentation of conics. You might want to read through it to gain a better understanting of these curves and their properties.)
11.10 - Applications of Power Series
  11.11 - Fourier Series
  Chapter 11 Part 2 Overview (11.7-9)
Chapter Review
Chapter Review

Calculus Review: MTH 251/252/253