Lecture Notes and Tentative Schedule
These are lecture notes that I use. They are not a
substitute for a good book or for going to class. But, if you
miss one class they can work for you
Week 1: 8/28  Vectors, Tensors, Coordinate Systems:
 Lecture 1: covariant, and covariance, rotations:
 Lecture 2: dot product, crossproduct, determinants, curl, Helmoltz theorem.
 Lecture 3: Maxwell equations, electrostatics, stokes theorem and applications. Tensors.

Week 2: 9/4.  Vectors, Tensors, Coordinate Systems:
 Lecture 4: General coordinate systems and metric:
 Lecture 5: Orthogonal coordinate systems, General coordinate transformation

Week 3: 9/11  More Tensors:
 Lecture 6: Covariant Differentiation, Div Grad Curl

Week 4: 9/18 
Fourier Series and Transforms
 Part 1: Hilbert Space, fourier series and transforms
 Part 2: More about Fourier Transform

Week 5: 9/25  Complex Analysis:
 Part 1 Cauchy Riemann Equations
 Part 2 Integration and Cauchy formulas

Week 6: 10/2  More Complex Analysis:
 Part 3 Example integrals and the radius of convergence
 Part 4 Analytic continuation: the logarithm

Week 7: 10/9  Even More Complex Analysis:
 Part 5 Example integrals with branch points and more complex continuations
 Part 6 Principal value integrals
 Part 7 Kramer's Kronig Relations
 Part 8 The Gamma Function

Week 8: 10/16  Differential equations and Green functions
 Part 1 Homogeneous and inhomogeneous equations and boundary conditions. General solution of 1st order equations.
 Part 2 Green functions.

Week 9: 10/23  Differential equations and Green functions
 Part 3 Solutions for constant coefficients and equidimensional equations
 Part 4 Classification of singular points

Week 10: 10/30  Special functions and linear operators

Part 5 Differential operators and green therorem

Week 11: 11/6  Special functions and linear operators

Week 12: 11/13  Elementary Group Theory

Thanksgiving Week: 11/20  Monday class only

Week 13: 11/27  Elementary Group Theory

Week 14: 12/04  Elementary Group Theory

Part 3 Small oscillations

Part 4 Structure of Hamiltonian. Final answer on small oscillations.
 Slides
