Physics 567: Mathematical Physics (Fall 2011)
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Class notes |
Solutions to homework and exams
(Password protected) |
Other |
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Course
Schedule
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Monday |
Wednesday |
Friday |
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August 22 Elementary approach Read: Ch1: 1-2 HW1: 1.1.1,1.2.1(a) |
August 24 Scalar and vector products-1 Read: Ch1: 3-5 HW1: 1.3.3,1.4.7,1.5.12 |
August 26 Scalar and vector products-2 Read: Ch1: 3-5 No homework No homework due |
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August 29 Gradient, divergence and curl-1 Read: Ch1: 6-9 HW2: 1.6.3,1.6.4,1.7.5,1.8.4, 1.8.11,1.8.13,1.8.14,1.9.7 |
August 31 Gradient, divergence and curl-2 Read: Ch1: 6-9 No homework |
September 2 Gauss’ theorem and Stokes’ theorem-1 Read: Ch1: 10-12 HW2: 1.10.5,1.11.2,1.11.6,1.12.3,
1.12.10 HW1 due |
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September 5 Happy Labor Day! |
September 7 Gauss’ theorem and Stokes’ theorem-2 Read: Ch1: 10-12 No homework |
September 9 Gauss’ law and Dirac delta function Read: Ch1: 13-15 HW3: 1.13.8,1.13.9,1.14.3,1.15.7 HW2 due |
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September 12 Helmholtz’s theorem Read: Ch1: 16 HW4: 1.16.1 |
September 14 Determinants Read: Ch 3: 1 HW4:
3.1.1,3.1.2 |
September 16 Matrices-1 Read: Ch 3: 2 HW4: 3.2.1,3.2.31,3.2.34,3.2.36 HW3 due |
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September 19 Matrices-2 Read: Ch 3: 2 No homework |
September 21 Orthogonal matrices Read: Ch 3: 3 HW5: 3.3.1,3.3.8,3.3.9,3.3.10,3.3.14 |
September 23 Diagonalization of matrices-1 Read: Ch 3: 4-5 HW5: 3.4.4,3.4.5,3.4.7,3.4.8,3.5.6,3.5.8,
3.5.9,3.5.12,3.5.27 HW4 due |
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September 26 Diagonalization of matrices-2 Read: Ch 3: 4-5 No homework |
September 28 Normal matrices Read: Ch 3: 6 HW6: 3.6.3,3.6.4,3.6.6,3.6.10,3.6.11 |
September 30 Exam 1 No homework HW5 due |
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October 3 Cauchy-Riemann conditions Read: Ch 6: 1-2 HW7: 6.1.7,6.1.17,6.2.1,6.2.8 |
October 5 Exam 1 review No homework |
October 7 Cauchy’s theorem Read: Ch 6: 3-4 HW7: 6.4.1,6.4.3,6.4.4 HW6 due |
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October 10 Analytic continuation Read: Ch 6: 5 HW8: 6.5.2,6.5.5 |
October 12 Laurent expansion Read: Ch 6: 5 HW8: 6.5.8,6.5.9,6.5.10 |
October 14 Argonne Symposium (Class cancelled) No homework HW7 due |
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October 17 Branch points and branch cuts Read: Ch 6: 6 HW9: 6.6.1,6.6.2,6.6.3 |
October 19 Mapping Read: Ch 6: 7-8 HW9: 6.7.1,6.7.2,6.8.1 |
October 21 Residue theorem Read: Ch 7: 1 HW9: 7.1.1 HW8 due |
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October 24 Cauchy principle value Read: Ch 7: 1 HW10: 7.1.4 |
October 26 Evaluation of definite integrals-1 Read: Ch 7: 1 HW10: 7.1.7,7.1.8,7.1.10 |
October 28 ISAAPT Meeting (Class cancelled) No homework HW9 due |
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October 31 Evaluation of definite integrals-2 Read: Ch 7: 1 HW11: 7.1.11,7.1.12,7.1.13,7.1.14,7.1.16 |
November 2 Evaluation of definite integrals-3 Read: Ch 7: 1 HW11: 7.1.17 (b),7.1.18,7.1.19,
7.1.21,7.1.22,7.1.25,7.1.26 |
November 4 Exam 2 No homework HW10 due |
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November 7 First order differential equations Read: Ch 9: 1-2 HW12: 9.2.2,9.2.3,9.2.4 |
November 9 Linear first order ODEs-1 Read: Ch 9: 2 HW12: 9.2.11,9.2.13,9.2.14 |
November 11 Linear first order ODEs-2 Read: Ch 9: 2 No homework HW11 due |
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November 14 Separation of variables Read: Ch 9: 3 HW13:
9.3.4,9.3.9 |
November 16 Series solution-1 Read: Ch 9: 4-5 HW13:
9.4.1,9.4.2,9.5.6(a),9.5.16 |
November 18 Series solution-2 Read: Ch 9: 4-5 No homework HW12 due |
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November 28 A second solution Read: Ch 9: 6 HW14: 9.6.6,9.6.9,9.6.15,9.6.19 |
November 30 Green’s function Read: Ch 9: 7 HW14: 9.7.5,9.7.15 |
December 2 Helmholtz equation Read: Ch 9: 7 No homework HW13 due |
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December 5 Self-adjoint ODEs No homework |
December 7 Sturm-Liouville
theory No homework |
December 9 Green’s function-Eigenfunction
expansion No homework HW14 due |
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December 12 Final exam 10:00 am |
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