Notes will be handed out in class. I am recommending the standard graduate text by George B. Arfken Mathematical Methods for Physicists. You may also find some Schaum books useful for vector analysis and complex variable. The book by Mary Boas is also good. You will also be making use of Tables of integrals, mathematical handbooks.
There will be one midterm and a final exam, the midterm is worth 45% and the final worth 55%. Problems will be assigned on a regular basis and will be taken from the book and hand out problems. Each assignment will be given to you in xerox form. I will NOT grade these problems and I DO NOT expect them to be handed in. Instead I will put aside a lecture every 2 weeks to go over problems in class. I will pick on students at random to present their calculations on the board in front of the class, so I recommend you try the problems in advance!!
Chap 1. Review vectors, tensors notation
Chap 2. Review curvi--cords
Chap 5. Taylors theorm
Chap 3. Determinants and matrices
Chap 8. PDE's with boundary conditions and initial conditions
Chap 9. Sturm-Liouville theory and orthofonal poly's
Chap 10--13 Special functions including, gamma, beta, bessel, Hermite, Laguerre, Legendre, Mathew etc
Chap 14,15 Fourier and Laplace transforms
Complex variable, residue theory
Time permitting, a brief look at the calculus of variations