Stewart J., Calculus 8th ed. (Brooks/Cole)

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• 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