Week 1: Curves and their parametrisations
Week 2: Vector differentiation, tangent vector and arc length
Week 3: Partial differentiation, chain rule, the grad operator, directional derivatives
Week 4: Linear approximation to surfaces, normal to surface, critical-point classification with the Hessian.
Week 5: Double/triple integration in Cartesian coordinates
Week 6: Integration with polar, cylindrical, spherical coordinates
Week 7: Integration with the Jacobian. Div and curl. 
Week 8: Green's theorem and Stokes' theorem
Week 9: The Divergence theorem
Week 10: Revision of integral theorems