     Calculus Animations,Graphics and Lecture Notes Infinie Series    Home About Kelly Liakos Sponsors 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 PreCalculus 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 Trigonometry Applications Triple Integrals Unit Tangent Vectors/Unit Normal Vectors Vectors in General Vector Valued Functions Visualizing Limits of Functions of 2 Variables Work Links 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 Animation1 Animation2 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.  