Calculus Animations,Graphics and Lecture Notes

About Kelly Liakos
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

Kelly Liakos (1954-2010) was a gifted mathematician and teacher for over 25 years. He received both his B.S. and M.S. degrees from the University of Florida. He strongly believed that "knowledge should be free" and this website was truly his labor of love. He was extremely gratified to see how many students, teachers, and professors utilized 

Kelly didn't talk about it much, but he was also a gifted athlete and runner. He was a state champion wrestler and star football player in high school. He also served his country in the United States Marine Corp.

Kelly left this world far too soon. His family and friends continue to miss him deeply. He will always live in our hearts.

boyscout.jpgstatechampwrestling.JPGfootball.jpg marines.jpg


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

©2008-2010 Kelly Liakos

Do you find this site useful? If you would like to continue to access these animations, lesson and files, please consider a small donation. Thank you from Kelly's family!