MAT2500 Challenge Problems

For those who actually enjoy mathematics, the Stewart Calculus textbook has Problems Plus at the end of each chapter which require just a bit more thinking compared to the homework problems. bob added some others to the list below.

Here are a few selected problems with additional instructions whose successful solution without collaboration, if written up as a clear self-contained mathematical report (or using a clearly documented Maple worksheet), can substitute at a 10/10 for one of your lowest quiz grades. Just getting the answer does not cut it. [I have solved each of these problems myself in order to assess their reasonableness for students.]

chapter 12. vector algebra

chapter 13. space curves

chapter 14. surfaces

chapter 15. multivariable scalar integration

chapter 16. vector field integration