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Vector and Tensor Analysis (MATH-6204
WEEK-8: Problems on surface integral and volume integrals
WEEK-8: Problems on surface integral and volume integrals
Problems on surface integral and volume integrals
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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