Course Schedule 

                           

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Tentative Schedule

Date   Day Ch Topic
Jan  11 W 1 Introduction/Background/Review
  13 F 1 Geometric Series/Binomial Series
  16 M   MLK - No Class
  18 W 2 Dimensional Analysis/Free Fall/1st Order ODEs
  20 F 2 Terminal Velocity/Harmonic Oscillators
  23 M 2 2nd Order ODEs/LRC Circuits
  25 W 2 Damped and Driven Oscillations/Undetermined Coeffs
  27 F 3 Resonances/Variation of Parameters
  30 M 3 Vector Spaces/Rotations
 Feb 1 W 3 Linear Transformations/Matrix Representations
  3 F 3 Coupled Systems and Eigenvalue Problems
  6 M   Exam I - Ch 1-3
  8 W 4 Heat & Wave Equations/BVPs/Sep. of Variables
  10 F 4 Fourier Trigonometric Series
  13 M 4 Fourier Series Computation/Examples
  15 W 4 Sine-Cosine Series/Half-Range Expansions
  17 F 4 Finite Strings and Heated Rods
  20 M 5 Function Spaces/Orthogonal Polynomials
  22 W 5 Legendre Polynomials
  24 F 5 Gamma & Bessel Functions
  27 M 5 Sturm-Liouville Problems
  29 W 6 Complex Representations
 Mar 2 F 6 Harmonic Functions/Differentiability
  5 M 6 Path Integrals - Cauchy's Thm
  7 W 6 Analytic Functions/Laurent Series
  9 F 6 Residue Theorem
        Spring Break March 12-16
  19 M 6 Real Integrals - Applications
  21 W   Exam II - Ch 4-6
  23 F 7 Dispersion Relations and Transforms
  26 M 7 Fourier Transforms/Dirac Delta Function
  28 W 7 Fourier Transform Properties
  30 F 7 Convolution/Laplace Transforms
Apr 2 M 7 Laplace Transform Properties
  4 W 7 Solving ODEs with Laplace Transform
  5 R   No Class
  6 F   No Class
  9 M 7 Bromwich Integral and Applications
  11 W 8 Vectors Identities/Levi-Civita Symbol/Spacecurves
  13 F 8 Div-Grad-Curl
  16 M 8 Integral Theorems/Identities/Maxwell's Equations
  18 W 8 Wave Equation/Curvilinear Coordinates
  20 F 9 Vibrations of Rectangular Drumheads
  23 M 9 Vibrations of Circular Drumheads
  25 W   Exam III - Ch 7-8 - Due by 5:00 PM
  25 W 9 The Heat Equation/Laplace' Equation
  27 F 9 The Hydrogen Atom I/Spherical Harmonics
  30 M 9 The Hydrogen Atom II/Laguerre Polynomials
May 2 W Final - 8:00 AM

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E-Mail: Dr. Russell Herman Last Updated: April 17, 2012