     Calculus Animations,Graphics and Lecture Notes Computer Lab Assignments    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 If you are unfamiliar with or are just learning Mathcad you may want to consider the Intro lab on basic graphs in Mathcad.

Introduction to Basic Graphs Calculus 1 Labs Lab Average to Instantaneous Lab Local Linearity Graphing and Analysis of Functions Parametric Eqns 2 Space Riemann Sums Lab Animation Riemann Sums The following 2 labs use the tangent line approximation to solve Physics problems.The first deals with the motion of a mass on a spring.The second is based on a discussion of planetray motion in the Feynman Lectures and uses the tangent line approximation to plot the trajectory of the earth around the sun. Mass-Spring and the Tangent Line Approx Trajectory of the Earth and the Tangent Line Approx Calculus 2 Labs Polar Coordinates Taylor Polynomials Taylor Series Numerical Integration Rectangular Approximation Trapezoid Rule Simpson's Rule A lab on parametric equations in 2 space is included in my Calculus 1 LabsIn some cases parametric equations are taught in Calc1 sometimes Calc2, personally I think it is such a good application of the derivative as instantaneous rate of change I include it in Calc 1. Differential EquationsThe following 2 labs deal with numerical solutions to 1st order differential equations.1. The first deals with IVPs of the form where dy/dx = f(x)   and dy/dx = f(y)2. The second deals with the general IVP where dy/dx = f(x,y) This is called Euler's method dy/dx = f(x) dy/dx =f(y) dy/dx = f(x.y) --Euler's Method For a computer lab on projectile motion in the plane click the link below Calculus 3 LabsMake sure you are familiar with the Basic 3D Graph  Lab first Basic 3D Graphs Graphing Contour Diagrams Parametric Equations in 3 Space The Contour Gradient Lab describes how to create Vector Field PLots and How to use contour diagrams and gradient fields to locate and classify local extrema for functions of 2 variables. Contour Gradient Lab Cylindrical Coordinates Spherical Coordinates Parametric Surface Plots Animation1 Animation2 Animation3 Animation4 Animation 5

PreCalculus Labs

Before doing the following labs make sure you are familiar with the Basic Graphs in Mathcad  Lab at the top of the page

Power Functions and Exponentials

Translations and Reflections

Before doing the labs on Polynomials and Rational Functions familiarize yourself with lectures on The PreCalculus Page

Polynomial Lab

Rational Function Lab

The following Lab deals with solving systems of equations using the method of Matrix Inverses

Matrix Lab

Linear Regression

Exponential Regression

Power Function Regression Lab

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