Mathematical Methods for Physicists, Physics 801 (Wysin)
Kansas State University, Fall 2000.


Office Hours:

Tuesday, Thursday, 3:00 -- 5:00, Wednesday 10:30 -- 120:00, CW 309 or CW 316/317.

For more course information, go here: Fall 2000 Physics 801 Syllabus.


Lecture Notes

Based on texbooks:
Mathematical Methods for Physicists, by George B. Arfken and Hans J. Weber, Academic Press, Fourth Edition . (1995).
Mathematics of Classical and Quantum Physics, by Frederick W. Byron and Robert W. Fuller, Addison-Wesley (1969).
Vectors and Index Notation
Curvilinear Coordinates and Differential Operators
Tensors and Coordinates
Vector Spaces, Operators and Matrices
Similarity Transformations: Summary and Example
Dirac Delta Function
Analytic Functions, Part I: Cauchy-Reimann, Branch Cuts, Cauchy Theorem, Mappings
Analytic Functions, Part II: Poles, Residues, Integrals and Sums
Infinite Series
Note on Binomial Theorem
Elliptic Integrals and Functions
Differential Equations in Physics
Using Green's Functions to Solve Differential Equations
Sturm-Liouville Theory of 2nd Order Self-Adjoint ODE's
Fourier Series: Function Expansions on Finite Intervals
Integral Transforms: Fourier and Laplace
Legendre Functions (Problems with Azimuthal Symmetry)
Lagrange Multipliers: Extremum Problems with Constraints
Calculus of Variations: Extremum Problems
Euler-Lagrange Examples: Light Path Problems

Problem Solutions

Problems in:
Mathematical Methods for Physicists, by George B. Arfken and Hans J. Weber, Academic Press, Fourth Edition . (1995). (Sorry, I limited access due to publisher and professors' requests!)
Assn. 1: Chapter 2, Coordinate Systems and Differential Operators:
2.2.3 p1, 2.2.3 p2, 2.4.4 , 2.4.13 , 2.4.15 , 2.5.2 , 2.5.12 , 2.5.16 ,
Assn. 2: Chapter 2, Tensors and Generalized Coordinates:
2.6.5, 2.10.5, 2.10.6, 2.10.9, 2.10.11, 2.10.12,
Supplementary Problems: Chapter 2, Tensors and Generalized Coordinates:
2.6.6, 2.10.8, 2.10.8b, 2.10.13, 2.10.13c, 2.E-A, 2.E-B,
Assn. 3: Chapter 3, Matrices and Their Properties:
3.1.5, 3.1.5, 3.2.4, 3.2.7, 3.2.16, 3.2.36, 3.2.37,
Assn. 4: Chapter 3, Matrices and Their Properties:
3.3.1, 3.3.16, 3.4.5, 3.4.12, 3.5.6, 3.5.9, 3.5.18,
Assn. 5: Chapters 1, 6, Theory of Analytic Functions I:
1.15.3, 1.15.7, 1.15.17,, 6.1.9, 6.1.15, 6.1.16, 6.2.5, 6.4.4,, 6.5.8,,
Assn. 6: Chapters 6, 7, Theory of Analytic Functions II:
6.5.10, 6.6.1, 6.6.2, 7.1.3, 7.2.1, 7.2.6, 7.2.8, 7.2.15, 7.2.19, 7.2.27,
Assn. 7: Chapters 8, Solution of Differential Equations:
8.2.14, 8.3.6, 8.5.6a, 8.5.6b,c, 8.6.19, 8.7.5, 8.7.6,
Assn. 8: Chapter 9, Self-Adjoint Differential Equations and Orthogonal Functions:
9.1.1, 9.1.3, 9.3.1, 9.3.3,
Assn. 9: Chapter 17, Extremum Problems and Euler-Lagrange Equations:
17.1.1, 17.1.3, 17.2.4 a), 17.2.4 b), 17.2.6, 17.3.4, 17.3.6, #9, 17.6.3, 17.6.6, 17.7.2, 17.7.4,

Exams and Solutions

Midterm Exam,     Solution.
Bonus question 1,     Solution.
Bonus question 2,     Solution.

Final Exam,     Solution.

Other Links At KSU


access since 00/09/12.


Last update: Tuesday September 21 2004.
email to --> wysin@phys.ksu.edu