Welcome to the second course in real analysis!
Real analysis is the study of functions on Eucliean space. You might think this sounds fairly simple, but there are lots of beautiful subtleties here. For example, what does it really mean for a function to be differentiable? Are all functions differentiable? Are they derivatives of some other function? How different are continuous and differentiable functions? What can we learn about a function from its derivatives? What do integrals tell us about functions? These are some of the questions we will try to come to grips with this term.
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- Our final exam is Tuesday, May 3 from 11:30 to 2:20 in our stadard room (Skiles 271). Here is a practice exam. Note this practice exam is not like the previous ones it has lots of problems, where I will only ask you 5 questions plus several True-False questoins on the exam. You also might find this outline useful.
- Here are the solutions to midterm 2. If you would like me to regrade any part of your test let me know by April 19. After April 19, I will not regrade any problems on the test. I am sorry for limiting the time for regrading request, but it is important that the grading is as consistent as possible and it is hard to keep a high level of consistency if I look at a problem at the end of the semester that I originally graded months before. (Of course I will, at any time, happily fix a problem involving recording or totaling scores on the test.)
- The second midterm exam be in class on April 7th. It will cover the material covered in class through March 29th (that is essentailly through Section IV.B on the multi-variable chain rule). Here is an outline of that material: Outline of material for midterm 2. The best way to prepare for the test is to (1) go through the class notes/outline, (2) go through all the homework problems, and (3) work the practice test. Also, here is a practice test and solutions to the practice test
- Here are the solutions to midterm 1. If you would like me to regrade any part of your test let me know by March 1. After March 1, I will not regrade any problems on the test. I am sorry for limiting the time for regrading request, but it is important that the grading is as consistent as possible and it is hard to keep a high level of consistency if I look at a problem at the end of the semester that I originally graded months before. (Of course I will, at any time, happily fix a problem involving recording or totaling scores on the test.)
- The first midterm exam will cover the material covered in class through Feb 8/10 (that is essentailly through Theorem II.23). Here is an outline of that material: Outline of material for midterm 1. The best way to prepare for the test is to (1) go through the class notes/outline, (2) go through all the homework problems, and (3) work the practice test. Also, here is a practice test and solutions to the practice test.
- The first test in the class will be in class on February 17th
Course Information:
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