Summary Notes + Pictures

If you want the moving pictures to work, download the file to your desktop and open in Acrobat Reader: some moving pictures and animations use Adobe (PRC) code and may not display properly in other viewers or when embedded in a website.


Old Final pdf

Pre-requisite Quiz
Some questions to remind you of the delights of Math 2D and get you thinking about multi-variable calculus. Your TA may use these as a basis for discussion in week 1.


Homework
Submit the starred questions at the Friday discussion class of the indicated week. You should try as many of the non-starred questions as you can. If you still don't feel comfortable with the material, do more questions! Answers will appear in a drop-box on eee. Several have pictures: make use of them! An enormous challenge of multi-variable calculus lies in training yourself to think pictorially. If you can look at an equation and visualize a surface or a curve in space, you're half-way to an A. If you can't, multi-variable will be extremely difficult for you. Unsurprisingly, the only way to get better at visualization is to practice! To make any 3D pictures or animations move you will need to download the pdf to your desktop/laptop and open it in Acrobat Reader. Other pdf viewers may not be able to display animations correctly. Similarly they will not work within your web-browser.
Week 1: HW 1 (pdf)
Week 2: HW 2 (pdf)
Week 3: Pre-midterm Questions (pdf)
Nothing for submission. Everything except last few questions in 16.4 is on the midterm.
Week 4: HW 3 (pdf)
Week 5: HW 4 (pdf)