Math 538: Techniques of Applied Mathematics

Winter, 2010        John Bowman

Asymptotic series. Asymptotic expansion of integrals. Perturbation theory, asymptotic matching, perturbative eigenvalue problems. Boundary layer theory. WKB theory. Multiple-scale analysis.

• Lectures:

       T R   1100-1220 CAB 563
  

• Office hours and contact information:

       T     1330-1430 CAB 521
        W    1000-1050 CAB 521
         R   1230-1330 CAB 521
      Tel:   780-492-0532
      Email: bowman@math.ualberta.ca
      WWW:   http://www.math.ualberta.ca/~bowman/m538
  

• Text: van Roessel, Henry J.J. and Bowman, John C.,
  Math 538: Asymptotic Methods, online hyperlinked textbook, available at

  http://www.math.ualberta.ca/~bowman/m538
  

• Supplemental references (optional):

  BENDER, C. AND ORSZAG S. Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory. Springer 1999/McGraw-Hill 1978 (ISBN 0-387-98931-5). QA 371.B43

  BLEINSTEIN, N. AND HANDELMAN, R.A. Asymptotic Expansion of Integrals. Holt, Reinhard & Winston, 1975. QA 311.B64

  DEBRUIJN, N.G. Asymptotic Methods in Analysis. Dover, 1981.

  ERDÉLYI, A. Asymptotic Expansions. Dover, 1956.

  OLVER, F.W.J. Asymptotics and Special Functions. Academic Press, 1974. QA 351.O52

• Course Weightings and Examination Dates:

  Homework	40%
  Midterm	30%	March 2	11:00-12:20
  Final	30%	April 23	09:00-12:00

• Friday, March 12 is the last possible day for withdrawal.

• Prerequisites:
  • Elementary course in real analysis,

  • Elementary course in complex analysis,

  • Elementary course in differential equations