Math/Phys 612 Mathematical Physics II

Spring 2006, Ed Bueler


Ed Bueler
    email: felb@uaf.edu
    phone: 474-7693
    office: Chapman 301C
(link to Office Hours)

Class times and rooms:
     TTh 11:30-1:00 NSCI 207

Required Text
:  Riley, Hobson, & Bence, Mathematical Methods for Physics and Engineering, 2nd edition, Cambridge University Press 2002

Syllabus

Links:

Schedule:  (version 5/15/06  FINAL)
NOTE: Solutions to homework are available on paper from the instructor.

Day

Chapter
Topic
Assigned or Due
Th 1/19
20
complex analysis: derivative
A#1 (PDF)
T 1/24
20
analytic functions and Cauchy-Riemann equations and consequences
notes on orthogonal vector fields

Th 1/26
20
power series
A#1 Due
A#2 (PDF)
T 1/31
20
zeros

Th 2/2
20
poles and singularities
T 2/7
20
"inverses" and inverses of analytic functions; branch cuts; Laplace equation on the disc
A#2 Due
A#3 (PDF)
Th 2/9
20
conformal maps and complex potentials

T 2/14
20
complex integrals and Cauchy's theorem

Th 2/16
20
Cauchy's integral formula and series
A#3 Due (revised date)
A#3 solns (PDF)
T 2/21
20
cont. A#4 (PDF)
Th 2/23
20
Cauchy estimate, Liouville theorem

T 2/28
20
residues, contour integrals A#4 Due
A#4 solns (PDF)
A#5 (PDF)
Th 3/2
20
cont.

T 3/7
20
inverse Laplace transform

Th 3/9

in-class MIDTERM EXAM:
covers content of Assignments #1 through #5, especially definitions and calculations based directly on the basic ideas

TTh 3/14,16

NO CLASSes; Spring Break

T 3/21
17
linear operators
A#5 Due (revised date)
A#5 solns (PDF)
A#6 (PDF)
Th 3/23
17
inner products, orthogonality, Gram-Schmidt

T 3/28
17
adjoints and Hermitian operators

Th 3/30
17
Sturm-Liouville problems

T 4/4
17
cont.
A#6 Due (revised date)
A#6 solns (PDF)
A#7 (PDF)
Th 4/6
17
eigenfunction expansions

T 4/11
[18]
heat in a finite rod

Th 4/13
[18]
heat in an infinite rod; heat kernel; similarity solutions

T 4/18
[18], 19
pure transport
A#8 (PDF)
Th 4/20
19
separation of variables in polar coords
drum.m
A#7 Due (revised date)
partial A#7 solns (PDF(others handed out in class)
T 4/25
[19], Feynman III.19
hydrogen atom
A#8 Due
partial A#8 solns (PDF(others in 3rd edition solns manual)
A#9 (PDF)
Th 4/27
19
sep of vars in spherical coords
plotsphereharm.m

T 5/2
[19]
hydrogen atom; rotation group A#9 Due
Final Exam (PDF)
Th 5/4
[19]
cont

Th 5/11

Take-home FINAL EXAM due 5pm at my office FINAL EXAM due
Final Exam Solns (PDF)
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