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MATHEMATICAL METHODS IN PHYSICS I

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Content

Weeks Topics
1. Weeks Vectors; a)Scalar and vectors b) Unit analysis c) Coordinate systems
2. Weeks Vectors; a) Vectoral and scalar quantities b) Properties of vectors c) Unit vectors d) Vector algebra and geometrical addition e) product of two vectors
3. Weeks Reduction of vector products a) triple products b) Levi-Civita tensor c) Kronecker delta
4. Weeks Differantial vector operators a) Gradient b) Divergens c) Curl d) Laplacian
5. Weeks Line Integral a) Integral b) Variable forces systems
6. Weeks Linear and curvilinearintegral: a) Integral b) Variable Force systems
7. Weeks Green Theorem
8. Weeks Divergence Theorem a)Divergence theorem b) Gauss Law
9. Weeks Stokes Theorem
10. Weeks Matrices and Determinant a) matrices and their dimensions b) determinant c) matrix operations d) special matrices e) eigenvalue and eigenvectors
11. Weeks Gamma Integral function a)Factorial function b) Gamma integral c) recursion relation d) Gamma table e) factorial function of negative numbers
12. Weeks applications of Gamma function
13. Weeks Beta Integral Functions a) Beta integral functions
14. Weeks Beta Integral Functions a) relationship between Gamma and Beta functions b) physical application
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