Mathematical Methods for Physicists, Physics 801 (Wysin)
Kansas State University, Fall 2000.
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.
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
Exams and Solutions
- Midterm Exam,
- Bonus question 1,
- Bonus question 2,
- Final Exam,
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