WEEK-17: Covariant Derivative, Geodesics, Parallel Transport, Tensor Derivative Operators
Covariant Derivative, Geodesics, Parallel Transpor,Tensor Derivative Operators
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Course Material
- WEEK-1 Introduction to vector and tensor analysis
- WEEK-2: Gradient of a scalar function
- WEEK-3: Divergence and Curl of a vector function
- WEEK-4: Examples and questions on grad., div., curl
- WEEK-5: Introduction to line, area and volume integrals
- WEEK-6: Theorems and problems on line integrals
- WEEK-7: Introduction and theorem on surface integral
- WEEK-8: Problems on surface integral and volume integrals
- WEEK-9: Mid term examinations
- WEEK-10: Curvilinear Coordinates: Orthogonal Coordinates in R3, Jacobian for Polar Coordinates.
- WEEK-11: Differential Vector Operator in Curvilinear Coordinates
- WEEK-12: Circular Cylindrical Coordinates, Spherical Polar Coordinates.
- WEEK-13 Questions on curvilinear coordinates
- WEEK-14: Tensor Analysis: Covariant and Contravariant Tensors, Symmetric.
- WEEK-15: Antisymmetric Tensors, Direct Product and Contraction
- WEEK-16: Quotient Rule, Pseudotensors, Dual Tensors, Metric Tensors, Christoffel Symbols.
- WEEK-17: Covariant Derivative, Geodesics, Parallel Transport, Tensor Derivative Operators
- WEEK-18 Final examination
- Chapters 18
- Department Mathematics
- Teacher
Dr. Khalid Mahmood Awan
