Scheduling Information: 
Time: Tuesday, December 11, from 5:308:30pm
Location: POS A35 Review Session: Sunday, December 9, from 5:307:0pm, in WEH 8220 The Final Exam will be a cumulative exam. In preparing for the Final, you should also review the study guides for Exam #1, Exam #2 and Exam #3. 
Exam Format: 
The exam will be given in two 80 minute parts. The first part will begin at 1:00 and must be completed by 2:20. Following that, there will be a 20 minute break before the second part begins at 2:40. The second part will conclude at 4:00. Once each of the two parts begins, you may not leave the room until you have finished working on that part. Once you leave the room you will not be permitted to return to work on that part of the exam. 
Topics Covered: 
Topics from Exam #1
Topics from Exam #2 Topics from Exam #3 Projections: Section 5.2 and 7.3. The Orthogonal Decomposition Theorem: Section 5.2. Orthogonal Matrices: Section 5.1. The GramSchmidt Process: Section 5.3. Least Squares Approximation: Section 7.3 Coordinates: Section 3.5 pp. 213215. Change of Basis: Section 6.3. Matrix for a Linear Transformation: Section 6.6. Similarity: Section 4.4. Diagonalization: Section 4.4. Orthogonal Diagonalization of Symmetric Matrices: Section 5.4. 
Review Questions: 

Exercises: 
Section 5.3 #1, 3, 5, 7, 11.
Section 7.3 #7, 15, 21, 23, 29, 37, 41. Section 6.3 #3, 7, 15, 17. Section 3.5 #3, 5, 7, 11, 15, 17, 19, 21, 23, 25, 33, 39, 45, 47, 51. Section 6.6 #1, 3, 7, 13, 15, 17, 39. Section 4.4 #1, 3, 5, 11, 13, 19, 23, 29, 33, 35. Section 5.3 #13, 15, 19. Section 5.4 #1, 5, 9, 15, 25, 27. 
Old Exam Problems: 
Here are some old exam problems. They should be a pretty good guide to what you might expect to see on Monday's exam. This is not a complete final exam, I've tried to present problems that cover material from the last few weeks of the course. Before the questions come in  no, I don't have solutions available for these problems. You have a large number of problems from the text with answers, and it's important for you to get used to working on problems where the answers are not available. You'll have a chance to ask questions at the Review Session, and during your TA's office hours, too. 
Reference Tables: 
I'll give you this reference table to use with your exam. 