My Notes

      • Notes
          • Syllabus
          • Plasma Models
          • Particle in Cell Model
          • PIC - Example Implementation
          • Multidimensional Electrodynamic PIC
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          • Finite Difference Methods for MHD
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          • WARPXM 201 - Unstructured Geometry
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          • Integrals of Multivalued Functions
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          • Conformal Mappings
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          • Cold Magnetized Plasma Dispersion Relation
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          • Waves in Hot Magnetized Plasma
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          • Adding Color
          • Crews (2018)
          • Datta (2021)
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          • Goedbloed (2019)
          • (1.1) Vector Algebra
          • (1.2) Differential Calculus
          • (1.3) Integral Calculus
          • (1.4) Curvilinear Coordinates
          • (1.5) The Dirac Delta Function
          • (1.6) The Theory of Vector Fields
          • (2.1) The Electric Field
          • (2.2) Divergence and Curl of Electrostatic Fields
          • (2.3) Electric Potential
          • (2.4) Work and Energy in Electrostatics
          • (2.5) Conductors
          • (3.1) Laplace's Equation
          • (3.2) The Method of Images
          • (3.3) Separation of Variables
          • (3.4) Multipole Expansion
          • (4.1) Polarization
          • (4.2) The Field of a Polarized Object
          • (4.3) The Electric Displacement
          • (4.4) The Linear Dielectrics
          • (5.1) The Lorentz Force Law
          • (5.2) The Biot-Savart Law
          • (5.3) The Divergence and Curl of B
          • (5.4) Magnetic Vector Potential
          • (6.1) Magnetization
          • (6.2) The Field of a Magnetized Object
          • (6.3) The Auxiliary Field H
          • (6.4) Linear and Nonlinear Media
          • (7.1) Electromotive Force
          • (7.2) Electromagnetic Induction
          • (7.3) Maxwell's Equations
          • (8.0) Phys 544 Introduction
          • (8.1) Charge and Energy
          • (8.2) Momentum
          • (9.1) Electromagnetic Waves in One Dimension
          • (9.2) Wave Equation for E and B
          • (9.3) Electromagnetic Waves in Matter
          • (9.4) Electromagnetic Waves in Conductors
          • (9.5) Guided Waves
          • (10.1) Scalar and Vector Potentials
          • (10.2) Retarded Potentials
          • (10.3) Point Charges
          • (11.1) Dipole Radiation
          • Solved Problems Ch3
          • Solved Problems Ch5
          • Solved Problems Ch7
          • Solved Problems Ch9
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      Applied Complex Analysis

      • Applied Complex Analysis
        • Table of Contents

      Applied Complex Analysis#

      Course notes from AMATH 567 at the University of Washington, Seattle

      Table of Contents#

      • Introduction
      • Complex Numbers
      • Analytic Functions and Integration
      • Sequences and Series
      • Residue Calculus and Applications of Contour Integration
      • Real Integrals
      • Integrals of Multi-valued Functions
      • Fourier Transforms and Laplace Transforms
      • Conformal Mappings
      Backward WARPXM 201 - Unstructured Geometry Overview Forward
      • Applied Complex Analysis
        • Table of Contents