PHYSICS 242 Advanced Calculus for Applications in Physics
SOME LECTURE NOTES & SUPPLEMENTS
- elementary analytical methods
- PDF rules for differentiation
arithmetic, geometric and harmonic mean of n quantities
- some symbols and basic vector operations
- PDF Pochhammer symbol, Kronecker delta, Levi-Civita symbol
- PDF vector identities
- PDF the triple cross product
- PDF volume of a parallelepiped
- PDF rotation of coordinate axes
- PDF velocity and acceleration vectors in polar coordinate representation
- PDF vector operations (grad, div, curl, Laplacian)
- notes on the Dirac delta function
- PDF some properties satisfied by the Dirac delta function
- PDF Dirac Delta in curviinear coordinates
- PDF point charges and the Dirac delta function
- integral calculus
- line, surface and volume integrals of vector fields
- Stoke's theorem
- the divergence theorem
- some numerical tehniques
- PDF numerical interpolation
- PDF numerical solution of roots of equations
- PDF abscissas and weight factors for Legendre-Gaussian integration