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Math Stix

Complex Analysis

Complex Numbers

Mappings by Elementary Functions

Mappings by Elementary Functions

  • Intro to Complex Numbesr
    • Presentation    
    • Notes
    • Classwork
    • Quiz
  • Complex Multiplication/ Roots of Unity
    • Presentation
    • Notes
    • Homework
    • Quiz
  • Topology on the Complex Plane
    • Topology Presentation
    • Lines and Circles on the Complex Plane Notes 
    • Quiz
  • Practice Test with Solutions

Mappings by Elementary Functions

Mappings by Elementary Functions

Mappings by Elementary Functions

  • MobiuroComplex Mappings
    • Presentation
    • Group Work Activity
    • Group Quiz - Mapping z^{1+i}
  • Moebius Transformations
    • Notes with Check for Understanding 
    • Mobius Circles Notes with Check for Understanding 
    • Group Work
    • Quiz
  • Stereographic Projection and the Riemann Sphere
    • Notes
    • Group Activity
  • Conformal Mappings

Analytic Functions

Complex Integrals and Series

Complex Integrals and Series

  • Presentation
    • Intro to Complex Function 
    • Complex Derivative I 
    • Complex Derivative II
    • Complex Polar Derivatives
    • Branches of Inverse Notes
  • Homework
    • Gauss-Lucas Theorem 
    • Prove Differentiation Formulas
    • Analytic Functions  Solutions

Complex Integrals and Series

Complex Integrals and Series

Complex Integrals and Series

  • Introduction to Complex Integration 
    • Presentation 
    • Homework
    • Notes
  • Complex Path Integration
  • Independence of Parameterization
  • Cauchy Integral Formula Presentation
  • Cauchy Integral Formula Notes
  • Laurent Series

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