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
