Mathematical Methods of Physics I
PHYS 6124
Fall Semester 2019
August 19, 21, 23
week 1 Linear algebra
Lecture notes and problem set #1 (version of Sept. 4, due Monday, August 26)
August 26, 28, 30
week 2 Eigenvalue problems
Lecture notes and problem set #2 (version of Sept. 4, due Wed, September 4)
September 4, 6
week 3 Go with the flow
Lecture notes and problem set #3 (due Monday, September 9)
September 9, 11, 13
week 4 Complex differentation
Lecture notes and problem set #4 (version of Sept. 22; due Monday, September 16)
Compulsory reading: - (translation)
September 16, 18, 20
week 5 Complex integration
Lecture notes and problem set #5 (version of Sept. 22, due Monday, Sept. 23)
September 23, 25, 27
week 6 Cauchy - applications
Lecture notes and problem set #6 (version of Sept. 25, due Monday, Sept. 30)
September 30, October 2, 4
week 7 Steepest descent
Lecture notes and problem set #7 (version of October 6, due Monday, October 7)
October 7, 9, 11
week 8 Discrete Fourier transform
Lecture notes and problem set #8 (version of October 11, due Wednesday, October 16)
October 14-15
Mid-term recess
October 16, 18
week 9 Fourier Transform
Lecture notes and problem set #9 (version of Oct. 17, due Monday, Oct. 21)
October 21, 23, 25
week 10 Finite groups
Lecture notes and problem set #10 (version of Oct. 23, due Monday, Oct. 28)
October 28, 30, November 1
week 11 Continuous groups
Reading: Lecture notes and problem set #11 (version of Oct. 29, due Monday, Nov. 4)
November 4, 6, 8
week 12 SO(3) and SU(3)
Reading: Lecture notes and problem set #12 (version of Nov. 11, due Monday, Nov. 11)
November 11, 13, 15
week 13 Probability
Lecture notes and problem set #13 (version of Nov. 15, due Monday, Nov. 18)
November 18, 20, 22 Lecturer I. Taboada
week 14 Data and statistics
Reading: Lecture notes and problem set #14 (due Monday, Nov. 25)
So much mathematical physics, so little time...
What an experimentalist must know: I. Taboada's Math Methods for Experimental Particle Astrophysics
November 25 Lecturer S.A. Solla
week 15 (Non)linear dimensionality reduction
Reading: Lecture notes and problem set #15 (version of Dec.2, due Monday, Dec. 2)
November 27-29
Thanksgiving
December 2
week 16 Calculus of variations
Reading: Lecture notes #16; no problem set (version of Dec. 2)
Course notes
All lecture notes in one file (version of Nov. 24, 2019)
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