Course Materials 

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Review

• SOS Math
• Graphing Calculator Intros
  • Calculator Basics - Turning on, Setting Modes, Adjusting Window
  • Intro to the TI-83 (PDF File)
  • Graphing Calculator Instructions - for different calculators
• Fitting Linear Data Handout
• Summary Sheet on Exponential and Logarithms
• Summary of Basic Derivatives and Integrals
• Exam I - Review Sheet, Sample Exam

Chapter 8 Integration Techniques

• Integration
  • Integration Applet
  • The Wolfram Integrator
  • Overview of Integration
  • Integration by Substitution
  • Integration by parts - SOS Math, Examples, Visual Calculus
• Applications
  • Volumes of Revolution
  • Sums of Disks of Revolution
  • Visual Calculus Examples of Volumes of Revolution
  • Calculating the volume of a vase
  • Visual Calculus Average Value of a Function
• Visual Calculus Improper Integrals
• Improper Integrals - SOS Math, Examples + Applets

Chapter 9 Multivariable Calculus

• Plotting Surfaces in 3D via the Web
  • 3D Surface Viewer - Simple Installation/Run in Browser Offline
  • 3D Function Graph-in-a-Box - Applet with Built in functions
  • 3D Surface Applet - Java Applet for surfaces
  • Live 3D Plotting - Applet for 3D Plotting
• Level Curves
  • Curve Sketching
  • Level Curve Explorer - Applet for Drawing Level Curves
  • How to sketch surfaces
• Animated Surfaces
• Surfaces and Level Curves Handout Word, PDF
• Lagrange Multiplier Problems - PDF
• Lagrange Multiplier Problems
• Iterated Integrals
• Double Integrals and Volume
• Double Integrals Over General Regions.
• Topic Summary for this chapter
• Exam II Review Sheet, Sample Exam

Chapter 10 Differential Equations

• Separable Equations

  • More on Separable Equations 1, 2, 3

• First Order Linear

  • More - 1, 2, 3

• Applications
• A Fish Story
• Lotka-Volterra Tool
• Population Dynamics in Java
• Arms Race Model
• Lotka Volterra Graph from Class Example

Chapter 11 Probability

• Dice Applet
• Probability Density Functions
• Probability
• Mean and Variance
• Normal Distribution Applet, #2
• The z-Score, z-Score Applet
• Standard Normal Probabilities - Large Table
• z-Score Table consistent with our class
• Other Distribution Tables
• Probability Distribution Applets
• Exam III - Review Sheet, Sample Exam

Chapter 12 Sequences and Series

• Geometric Sequences
• Annuities
• Amortization Calculator
• Amortization Schedule
• Schedule in Excel, HTML
• Taylor Polynomials
• Taylor Polynomial Computation
• Taylor Polynomial Applet
• Taylor Series - SOSMATH
• Rule of 70 and Rule of 72, Analysis,
• Rule 70/72 Graph, Table
• Exam IV - Review Sheet, Sample Exam

Chapter 13 Trigonometric Functions

• Trigonometry Review Questions
• SOSMath on Trigonometry
• Trigonometric Functions of Common Angles
• The Unit Circle
• Trigonometric Applet
• Trigonometry: A Day at the Track
• Estimating the Height of a Building
• Graphs of Trigonometric Functions
• Derivatives of the Trigonometric Functions
• Visual Math - Derivatives
• Trigonometric Identities
• Trigonometric Formulae
• Elementary Trigonometric Integration Problems

Practice Problems

• Spring 2005 Final - with solutions
• OLD Final - only for additional practice

 

Interesting Sites
SOS Math	Dave's Math Tables	Earth and Sky	Official Time EST

Learning Takes Place Outside the Classroom!

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