Text: W. Kaplan, Advanced Calculus, 5th Edition, Addison Wesley Longman, 2003.
| Chapter | Class Hours | |
| 2 | Differential Calculus of Functions of Several Variables | |
| Sections 1-6 | 2 | |
| Sections 7-8 | 2 | |
| Sections 9-12 | 3 | |
| Sections 13-18 | 3 | |
| Sections 19-20 | 2 | |
| 3 | Vector Differential Calculus | |
| Sections 1-6 | 2 | |
| 4 | Integral Calculus of Functions of Several Variables | |
| Sections 3-7, 9 | 5 | |
| 5 | Vector Integral Calculus | |
| Sections 1-13 | 14 | |
| A selection of physical applications | ||
| Sections 14-18 (these may be integrated with the above topics) | 5 | |
| Leeway and Exams | 5 | |
| Total | 43 |
NOTE: This course is aimed at students primarily interested in the applications of mathematics. To the extent possible, proofs should be replaced by intuitive explanations and plausible manipulations. Applications of the material should be given, at the very least, to heat conduction and Maxwell's equations. For example, one should explain how Maxwell equations lead to the wave equation for electromagnetic waves, and hence predict electromagnetic radiation.
Last modified August 31, 2004