Week 07: Composition and chain rule, directional derivatives and the gradient vector
Stewart J., Calculus 8th ed. (Brooks/Cole)
Pages: 937-959
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Course Material
- Week 01: Vectors and analytic geometry in space: Coordinate systems,
- Week 02: The dot product, the cross product, equations of lines and planes
- Week 03: Quadric surfaces, vector-valued functions
- Week 04: Space curves, derivatives and integrals of vector valued functions
- Week 05: Arc length, curvature, normal and binormal vectors
- Week 06: Multivariable functions and partial derivatives: Functions of several variables, limits and Continuity, partial derivatives
- Week 07: Composition and chain rule, directional derivatives and the gradient vector
- Week 08: Maximum and minimum values, optimization problems, Lagrange Multipliers
- Week 09: Multiple integrals:
- Week 10: Non-rectangular domains, double integrals in polar coordinates
- Week 11: Triple integrals in rectangular, cylindrical coordinates,
- Week12: Triple integrals in spherical coordinates, change of variables in multiple integrals
- Week13: Vector calculus: Vector fields, line integrals
- Week14: Green's theorem, curl and divergence
- Week15: Surface integrals over scalar and vector fields
- Week16: Stokes' theorem, Divergence theorem
- Chapters 16
- Department Mathematics
- Teacher
Dr. Khuram Ali Khan
