Math 17B
SUPPLEMENTARY CLASS HANDOUTS

Last Update: February 25, 2015
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• SUPPLEMENTARY CLASS HANDOUTS
  
  
  
  
  
  • Proof of Two Summation Formulas
    
    
  • Limit Definition of Definite Integral
    
    
  • An Example of a Definite Integral
    
    
  • Properties of Definite Integrals
    
    
  • Even and Odd Functions
    
    
  • The Mean Value Theorem for Definite Integrals and Two Fundamental Theorems of Calculus
    
    
  • The Average Value of a Function
    
    
  • Formulas for Computing Volume
    
    
  • A Formula for Arc Length
    
    
  • An Example of Arc Length
    
    
  • The Derivative of Arctangent
    
    
  • Integration Formulas
    
    
  • Estimating the Value of Definite Integrals Using the Midpoint and Trapezoidal Rules
    
    
  • Constructing Taylor Polynomials
    
    
  • A Function and its Taylor Polynomials
    
    
  • Examples Using Taylor Polynomials and Taylor Error
    
    
  • A Differential Equation Representing Logistic Growth
    
    
  • Finding Equations and Growth Rates from Semi-Log Graphs
    
    
  • Plotting Data on Semi-Log Graph Paper
    
    
  • Differential Equations Representing Mixture Problems and Solutions
    
    
  • An Example Illustrating Direction Fields
    
    
  • An Example Illustrating the Classification (Stable or Unstable) of Equilibria
    
    
  • The Allee Effect , A Biological Example of an Unstable Equilibrium as an Extinction Threshold
    
    
  • Determining Inverses of Matrices and Computing Determinants of 2x2 Matrices
    
    
  • What the Heck is a Leslie Matrix
    
    
  • Rotation Matrices in Two-Dimensional Space
    
    
  • Determining Eigenvalues and Eigenvectors for a Two-by-Two Matrix
    
    
  • Leslie Matrices, Eigenvalues, and Stable Age Distributions
    
    
  • Using Eigenvalues and Eigenvectors to Solve Matrix Algebra Problems
    
    
  • Using Vectors to Determine Equations for Lines and Planes
    
    
  • An Alternate Formula for the Dot Product
    
    
  • Functions of Exponential Order
    
    
  • A List of Laplace Transform Formulas
    
    
  • A Laplace Transform Example Using Integration by Parts Twice