Math 3354
Differential Equations I
Spring 2013
Zill & Cullen
Differential Equations with Boundary Value Problems
Cole & Brooks

Review Final Exam

Review from Exam I       Review from Exam II       Review from Exam III

You may bring the two cards with you to the exam which you prepared for Exam II and Exam III

Section Content      Suggested Problems
Section 6.1
  • Review of Sequences
    • Definition
    • Convergence of a Sequence (Limit)
    • Arithmetic of Convergence Sequences (of Limits)
    • Seven Important Examples
  • Infinite Series
    • Definition
    • Defintion of Convergence
    • Divergence Test
    • Geometric Series
    • Series with Non-Negative Terms (SNNT)
      • Comparison Test
      • Limit Comparison Test
      • Ratio Test
      • Root Test
    • General Series
    • Absolute Convergence
    • Generalized Ratio Test
    • Generalized Root Test
    • Power Series (centered at x0)
      • Radius of Convergence
      • Interval of Convergence
      • Term-by-Term Differentiation
      • Term-by_Term Integration
      • Uniqueness of Series
      • Taylor Series
      • Arithmetic of Power Series
      • Index Manipulation
      • Analytic at a Point x0
  • Second Order Linear Differential Equation
  • Ordinary Point vs Singular Point
  • Existence Theorem for Solutions at an Ordinary Point
  • Power Series Solution Method
    • Polynomial Coefficients
    • Recursion Relation
    • Non-Polynomial Coefficients
17, 19, 23, 26

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