Course Materials 

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Review Materials

• Dr. Herman's Calculus II Web Site
• Summary Sheet on Exponential and Logarithms
• Table of Derivatives, Another Table
• Table of Integrals
• Trigonometric Identities
• The Unit Circle
• Chapter Reviews and Old Exams
  • See Mathbytes.net for videos of old exam problem solutions
  • Chapter 12 Review, Sample Exam I
  • Chapter 13 Review, Sample Exam II
  • Chapter 14 Review, Sample Exam III
  • Chapter 15 Review, Sample Exam IV
  • Chapter 16 Review, Sample Exam V - Answers
  • Sample Final - Answers

Chapter 12 

• Maple Worksheets
  • Vectors
  • Lines.mws
  • Planes.mws
  • Maplet Plotter
  • Cylinders and Quadrics
  • Slicing Surfaces
  • Saddles (See A Topological Picturebook)
• Vectors - Paul's Online Math Notes
• Vectors - Visual Calculus
• Vector Addition
• The Dot Product
• The Cross Product
• Cross Product Calculator
• Scalar Triple Product
• Animated Surfaces, Special Surfaces Handout
• Drawing Surfaces
• Multimedia Quadrics
• And you think our figures are hard to draw - See these

Chapter 13

• Vector Calculus Videos - Donny Lee
• Parametric Equations - Visual Calculus
• Draw your own spacecurves
• Frenet Frame Example
• Osculating Circles
• Maple Files
  • Spacecurve plotting, Maplet - Maple 10
  • The Frenet Frame in Maple
  • Curvature and Osculating Plane - Maple 10
  • Motion in space - Maple Worksheet
  • Clothoid clothoid.mws
• Examples from here
• Projectile Motion  
• Kepler Problem -
  • Laws, Orbits, Simulations, Proof
  • Planetary Law Simulator
• The Clothoid Loop
  • What is it?, Properties
  • Roller Coasters
    • Roller Coaster G-Forces
    • Roller Coaster Project, Another Design Project
    • The Roller Coaster Effect
    • Roller Coaster with Flight
    • Roller Coaster Trivia Quiz
• Plane and Space Curves. Curvature. Curvature-based Features.

Chapter 14

• Contour Plots - Maple File
• Geometric Interpretation of Partial Derivatives - Maple File
• Geometric Interpretation of Directional Derivatives - Maple File
• Gradient and Contours - Maple File
• Tangent Plane Applet or Mathlet
• Tangent Plane - Maple File
• Elementary Mathematical Methods for Physics Lecture Notes
• Local Extrema - Maple File
• Lagrange Multipliers - Maple File
• Lagrange Multipliers Explained, or Here
• Lagrange Multiplier Examples
  • #2, Video
  • Youtube Videos

Chapter 15

• Integrals you should know
• Integration Reviews
  • SOS Math
  • Dave's Math Tables
  • The Integrator
• Wolframalpha Plotting
• See Examples at Wolfram|Alpha
• Multiple Integrals - Paul's Online Math Notes
• Example of Using Maple to Plot 3D Regions
• Double Integral Examples
• Iterated Integrals and Area
• Double Integrals and Volumes
• Computing Double Integrals in Maple - Maple 10 File
• Triple Integrals in Cylindrical and Spherical Coordinate
• Other sample exams U Mich, Dr Lugo's Exams

Chapter 16

• Surface Plots
  • Maple Files for Surfaces Surf1.mws, Torus.mws, trek.mws, klien.mws
  • Parametrized Surfaces/Surface of Revolution surf2.mws
  • Parametric Surface Plotter
  • Surface Galleries 1, 2
  • Sea Shells - and here and here
• Integrals of Vector Fields
  • Line Integrals
  • Surface Integrals
  • More Surface Integrals
  • Green's Theorem
  • Divergence (Gauss'), Green's, Stoke's Theorems
  • Class Examples of Divergence and Stoke's Theorems
  • Dr. Lugo's Handouts - Flowcharts for Integral Theorems
• Vector Identities