Course Materials 

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Review Materials

• Calculus I Review Sheet

• 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 Review and Old Exams
  • See Mathbytes.net for videos of old exam problem solutions
  • Chapter 12 Review, Exam I, Answers
  • Chapter 13 Review
  • Chapter 14 Review, Exam II, Answers
  • Chapter 15 Review, Exam III, Answers
  • Chapter 16 Review, Exam IV, Answers, Exam V, Answers
  • Sample Final Exam, Answers
  • Spring Semester Exam 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 and Here
• The Cross Product
• Cross Product Calculator
• Scalar Triple Product
• Equation of Line
• Equations of Planes
• Animated Surfaces, Special Surfaces Handout
• Level Curves
  • Level Curve Applet
  • How to sketch surfaces
  • How to draw a frog
• Plot surfaces from home
  • Citrix Server - Run Maple from home using login
  • 3d Plotting Applet
  • 3D Function Graph-in-a-Box - Applet with Built in functions
• Drawing Surfaces
• Multimedia Quadrics
• More animations
• And you think our figures are hard to draw - See these
• Latitude/Longitude Distance Calculator

Chapter 13

• Vector Calculus Videos - Donny Lee
• Spacecurve plotting, Maplet - Maple 10 files
• Parametric Equations - Visual Calculus
• Draw your own spacecurves
• Circle of Curvature and Radius of Curvature
• The Frenet Frame in Maple (Maple file)
• Frenet Frame Example
• Osculating Circle - 2D from Geometric Laboratory
• Other Examples: Elliptical Helix, Tornado, Twisted Cubic
• Curvature and Osculating Plane - Maple 10
• Examples from here
• Projectile Motion 1, 2 
• Motion in space - Maple Worksheet
• Kepler Problem - Laws, Orbits, Simulations, Proof
• 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
  • Maple File clothoid.mws
• 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
• The Gradient and the Directional Derivative
• Elementary Mathematical Methods for Physics Lecture Notes
• Lecture notes with practice problems http://www-math.cudenver.edu/~rbyrne/online/242sylf01.htm 
• Local Extrema - Maple File
• Lagrange Multipliers - Maple File
• Lagrange Multipliers Explained, or Here
• Lagrange Multiplier Examples
  • #1, #2, #3, Two Contraints, Video
  • Youtube Videos

Chapter 15

• Integrals you should know
• Integration Reviews
  • SOS Math
  • Dave's Math Tables
  • The Integrator
• 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 Examples from Multivariate Course
• Other sample exams #1, #2, #3, 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
  • Web Applet for Drawing 3d Parametric Surfaces
  • Another Parametric Surface Plotter
  • Parameterized Surfaces in Maple
  • Surface Galleries 1, 2, 3, 4
  • 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