A tentative plan for the course:
1) Convergence and continuity in several variables (chapter 9)
2) The derivative (chapter 10)
3) Solving systems of equations (chapter 11)
4) Quadratic approximation and optimization (chapter 12)
5) Constrained optimization (chapter 13)
6) Integration (chapter 14)
The chapters correspond to the textbook.
This is a tentative plan and it is subject to changes.