Calculus Animations,Graphics and Lecture Notes

Infinie Series

About Kelly Liakos
Calculus 1- Limits and Derivatives
Calculus 1 - The Second Derivative
Calculus 1 and 3 Formula Sheets
Chain Rule
Computer Lab Assignments
Conic Sections
Differential Equations
Directional Derivatives/Gradient
Double Integrals
Equillibrium Solutions 1st order DEs
1st order Diff Eqs -Motion
Flux Integrals and Surface Integrals
Infinite Sequences
Infinie Series
Level Curves and Level Surfaces
Line Integrals
Optimization and Related Rates
Optimization for Functions of 2 Variables
Parametric Equations 2-space
Parametric Equations 3-space
Partial Derivatives
Polar Coordinate System
Polar Coordinates- Derivatives and Integrals
Riemann Sums and the Fundamental Theorem of Calculus
2d order Diff EQS-Motion
2d Partial Derivatives
Supplemental Exercises and Solutions
Tangent Planes/ Differential for f(x,y)
Trigonometry Applications
Triple Integrals
Unit Tangent Vectors/Unit Normal Vectors
Vectors in General
Vector Valued Functions
Visualizing Limits of Functions of 2 Variables
Special Topics
Scratch Paper
2 Poems

The following are my lecture notes and animations for the introductory lecture on Infinite series

Lecture Intro to Series

Partial Sums

Theorem 1

Below are my lecture notes and graphics on Geometric Series and Power Series Geometric in Form

Geometric Series

Notes-Proof of the Ratio Test

Animation-Ratio Test

Below are my lecture notes and animations on Alternating Series

Lecture Notes - Alternating Series



Notes-Absolute and Conditional Convergence

On My Computer Lab assignments  Page you'll find  Computer Labs with discussions of Taylor Polynomials and Taylor Series

The following downloads are my lecture notes and animations for the radius and interval of convergence for general power series.

Lecture Notes Radius/Interval of Convergence

Animation Power Series ln(x+1)

Animation Power Series of exp(x)

Animation Power Series of Arctan(x)

Animation Power Series of ln(x-1)

The Smart Bunny-A very short story by Kurt Vonnegut Jr.

©2008-2010 Kelly Liakos

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