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• 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