Math 3C, Lecture 2, Course Page
(2-2:50 MWF, Psychology 1824)

Final exams may be viewed during my office hours.
for current office hours.

Check the syllabus for office hours, locations, and general advice on how to do well in the course. Or you can print the pdf version of the syllabus.

Other web-based calculus exercises: Another web-based resource for sharpening your calculus skills is the COW library.

Additional notes: Prof Crandall's additional class notes are available in postscript or pdf format. It is crucial that you understand everything he talks about in these notes before the end of the quarter. You are unlikely to pass this class without doing so. The earlier you understand, the better your scores will be on the quizzes and exams. You are not expected to do this on your own. Both Scott and I should be a good source of answers to your questions. Here is a link to Prof Crandall's Math 3C page.

Annoying errors: Here is a link to that article about the most common errors in undergraduate mathematics, which I asked you to read in the first lecture. Many of these same mistakes greatly depress me and put me in an ungenerous mood when it comes to giving partial credit. It's a good idea to reread this before exams. You may understand and remember more each time you read it.

Euler's method: I made up a spreadsheet in Excel to help you play with Euler's method to find approximate solutions of differential equations. You are encouraged to try it with different equations, initial values, and stepsizes. You can use it to graph the approximate solution vs. the exact solution, if you know what the exact solution is. Here is a Maple worksheet that does the same thing without the nice graphics, but can find the exact solution of the DE as well. It's rather self-explanatory and even if you've never used Maple before, you should be able to understand quite well how it works. If you've written a program in a different language to do Euler's method and you'd like to share it with your classmates, I'll be happy to post it here.

Practice exams: To view the practice exams and exam solutions, you will need a viewer that can display pdf such as Adobe Acrobat Reader or Ghostscript + Ghostview. I want you to come up with your own solutions to the problems in your practice exam. I don't believe you benefit much from reading someone else's solution. Therefore I will notpost solutions to them. If you are stuck, there are many sources of help available to you, such as talking to a fellow student, office hours (mine or Scott's), MAP, Mathlab, CLAS. Use these wisely: ask for a hint to get you started, but don't ask for a complete solution. Remember that on the exam you are on your own. You may also want to check out Prof. Crandall's review sheet for his midterm.

 Practice exams in pdf Practice exams in postcript Practice midterm Practice midterm Practice final Practice final

Here are the four versions of the midterm in pdf:

 White midterm Green midterm Yellow midterm Blue midterm

And finally here are sample solutions to the white version of the exam: