First Midterm: Wednesday, 8 October 2008Since we have more people than fit in either of our rooms, the midterm will be in one of the following locations:
|SB Union 226||if your SB ID number is greater than 105 900 000|
|Physics P112||if your SB ID number is less than 105 900 000|
The midterm covers chapters 1, 2, and section 3.1 of the text.
Doing and reviewing all of the homework problems prior to the exam is a very good idea. Doing additional problems from the text can be helpful. Note that homework from section 3.1 isn't due before the exam; make sure you can do problem 5 of section 3.1.
There will be five questions on the exam. One of them will be selected from the following:
- Let S be a nonempty set of real numbers. Give the defintion of the supremum of S.
- Give a definition of the set Q of rational numbers.
- State the completeness property for the reals.
- Give a careful definition of what it means when we say a sequence Xn converges to a limit L.
- Define what it means for a set to be countable or uncountable. If you use the word "denumerable", you have to define that also.
You should be able to do all the problems on this practice exam from last year. The solutions are also available, but please work the problems out for yourself before looking at them, or you won't learn anything. Here are the solutions. Here is the solutions to the midterm for Fall '07; sorry, I don't have a copy without the answers embedded.
The questions on the exam will cover roughly the same topics but will, of course, be different. Note that I didn't write these exams, so I may choose to emphasize things differently.
Second Midterm: November 24, 2008, during class time.
Have no fear, this exam will be at least as much fun as the first. The second midterm will cover the material we have covered since the first exam: primarily material from chapters 3 (on sequences) and 4 (on limits), with a little from 5.1 and 5.2 (on continuity).
Here is a the second midterm from last fall,
as well as the solutions.
Ours will differ a little.
Also, here is a review sheet from fall 2006 and the actual exam (which was a take-home). Again, ours will be a little different, but maybe you'll find this useful. I'm sorry, but I don't have solutions.
For our exam, I can tell you in advance what two of the questions will be:
- State what topic you will be using for your project, and give the names of the people you will be working with. Naturally, if your partners don't give an essentially compatible list, you won't get credit.
- Be able to give a complete and correct definiton of one of the
- State what it means for a sequence to converge to a number L.
- State what it means for a sequence to be Cauchy.
- Define a cluster point of a set A.
- State what it means to say a function has a limit L at a point c.
- State what it means to say that a function is continuous at a point c.