Math 17C
SUPPLEMENTARY CLASS HANDOUTS

Last Update: April 28, 2014
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• SUPPLEMENTARY CLASS HANDOUTS
  
  
  
  
  
  • Three-Dimensional Space : Distance Formula, Midpoint Formula, and Spheres
    
    
  • Graphing in 3D-Space Using Level Curves and Traces
    
    
  • The Precise Epsilon/Delta Definition of a Function of Two Variables
    
    
  • Geometric Interpretation of Partial Derivatives
    
    
  • Linearization and the Jacobi Matrix
    
    
  • The Chain Rule, Gradient Vector, and Directional Derivative
    
    
  • Second Derivative Test for Three-Dimensional Extrema
    
    
  • An Example of Absolute Extrema for z=f(x,y) on a Bounded Domain
    
    
  • Double Integrals
    
    
  • Parametric Equations , Position Vector, Velocity Vector, Direction of Motion, Speed Along a Path
    
    
  • The Plausibility of the Eigenvector/Exponential Solution to a 2x2 Linear System of Differential Equations
    
    
  • An Example Solving a 2x2 Linear System of Differential Equations
    
    
  • Graphing Solutions to 2x2 Linear Systems of Differential Equations
    
    
  • Creating a Direction Field for a 2x2 Linear System of Differential Equations
    
    
  • Categorizing the Equilibrium (0,0) for a 2x2 Linear System of D.E.'s
    
    
  • An Example Solving A 2x2 Linear System of Differential Equations with Complex Eigenvalues
    
    
  • Mixture Problems and Single Differential Equations
    
    
  • Mixture Problems and Systems of Differential Equations
    
    
  • An Example Solving a Mixture Problem
    
    
  • Using Systems of Differential Equations to Describe Drug Dissipation in the Human Body
    
    
  • Shortcuts for Determining Information about Eigenvalues and the Stabilility of Equilibrium (0,0)
    
    
  • Replacing a Nonlinear System of D.E.'s with a Linear System
    
    
  • Categorizing an Equilibrium at (c,d) for a Nonlinear 2 by 2 System of D.E.'s
    
    
  • A Predator/Prey Model
    
    
  • Some Set Theory and Rules for Probability
    
    
  • Examples Using Conditional Probability
    
    
  • The Law of Total Probability
    
    
  • An Example Using Bayes Formula