Aconda Court 113A, TR 11:10a-12:25p
Fall Semester, 2009
Instructor: Dr. Steven M. WiseOffice Hours: Tu, Th 2 – 3p, W 1 – 2p. Office: Aconda Court 416B Email: swise(at)math(dot)utk(dot)edu |
A pdf file containing the information on this page will be available soon.
Elementary Linear Algebra, Howard Anton, Wiley, 9th edition.
The successful student will learn the fundamentals of linear algebra, including facts about matrices, vector spaces, linear transformations, and eigenvalue problems. I plan to cover chapters 1 through 7 of the text.
Homework exercises will be assigned for each class. While completed homework generally won't be collected, doing homework will help with the quizzes and exams. I encourage group participation in the solution of exercises.
There will be about 6 announced quizzes during the semester, administered at the beginning of the specified lecture. Quizzes will be comprised of two to four short questions based on the homework exercises that you have attempted. See the schedule below.
There will be two midterm exams and a comprehensive final exam. See the schedule below for planned examination dates.
Grades for all assignments will be available on Online@UT. The final grade (as a percentage of the total points) will be computed using the following weights: quizzes 30%, midterm exams 40% (20% each), and final exam 30%. Letter grades will be assigned according to the following scale:
100 >= A >= 93 > A- >= 90;
90 > B+ >= 87 > B >= 83 > B- >= 80;
80 > C+ >= 77 > C >= 73 > C- >= 70;
70 > D+ >= 67 > D >= 63 > D- >= 60;
60 > F.
I reserve the right to change this scale, provided the change benefits all students.
Student's must be familiar with the ACADEMIC STANDARDS OF CONDUCT section of the Hilltopics student handbook.
Students who require a course accommodation due to a documented disability should contact the instructor and the Office of Disability Services (ODS). ODS is located in 2227 Dunford Hall and may be reached by telephone at (865) 974-6087.
During the semester I'll post the schedule, along with assignments, exam solutions, and class notes below. There may be deviations from the schedule below, which I will announce in class. Ultimately, you are responsible for knowing what is covered and assigned by regularly attending classes. Please bookmark this site.
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01, Aug. 17 – Aug. 21. |
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Secs. 1.1: Linear equations. Hmwk 1: 1 – 8, pp 6, 7. |
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02, Aug. 24 – Aug. 28. |
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Secs. 1.2: Gaussian elimination. Hmwk 2: 1 – 9, 12, 13, pp 19, 20. |
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Secs. 1.3: Matrix arithmetic. Hmwk 3: 1 – 8, 9a, 12 – 14, 25, pp 34 – 37. |
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03, Aug. 31 – Sep. 04. |
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Sec. 1.4: Matrix inversion basic rules. Hmwk 4: 1 – 7, 11, 13, 14, 21, pp 48 – 50. |
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Sec. 1.5: Elementary matrices and inverses. Hmwk 5: 1 – 11, pp 57 – 59. Quiz 1, covering Hmwks 1 – 3. Get the quiz solutions here. |
Special office hours: 1 – 3p. |
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04, Sep. 07 – Sep. 11. |
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Special office hours: 8 – 11a. No afternoon office hours. Sec. 1.6. More on invertibility. Hmwk 6: 1, 3, 5, 7 – 9, 14, 17, 19, 23 – 25, pp 66, 67. |
No office hours. |
Exam 1, covering Hmwks 1 - 5. Get the exam solutions here. No office hours. |
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05, Sep. 14 – Sep. 18. |
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Secs. 1.7 and 2.1: Special matrices and determinants Hmwk 7: 1 – 9, 11, 12, 15, 16, 18, 22, pp 74, 75. |
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Secs. 2.1 and 2.2: Properties of determinants. Hmwk 8: 1 – 5, 6, 9, 11, 13, 15, pp 94, 95. |
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06, Sep. 21 – Sep. 25. |
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Secs. 2.2 and 2.3: Determinants by row reduction. Hmwk 9: 1 – 11, 13, 14, 15, pp 101, 102. |
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Sec. 2.3: Properties of determinants. Hmwk 10: 1 – 7, 9, 11, 12, 14, 15, 16, 18, pp 110, 111. Quiz 2, covering Hmwks 6 – 8. Get the quiz solutions here. |
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07, Sep. 28 – Oct. 02. |
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Sec 4.1: Euclidean n-space. Hmwk 11: 1 – 11, p 178. |
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Sec 4.1: Norms and inner products. Hmwk 12: 13 – 21, 24 – 26, p 179. |
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08, Oct. 05 – Oct. 09. |
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Review day. |
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Sec. 4.2: Linear transformations. Hmwk 13: 1 – 15, pp 194, 195. Quiz 3, covering Hmwks 9 – 12. Get the solutions here. |
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09, Oct. 12 – Oct. 16. |
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Secs. 4.2 and 4.3: More on linear transformations. Hmwk 14: 16 – 22, pp 195, 196. |
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Fall break. No class. |
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10, Oct. 19 – Oct. 23. |
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Sec. 4.3. Hmwk 15: 1 – 5, 6a, 7 – 19 (odd) 22, pp 207 – 209. Get the exam 2 study guide here. |
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Exam 2, covering Hmwks 6 – 14. Get the solutions here. |
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11, Oct. 26 – Oct. 30. |
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Secs. 4.4 and 5.1: Abstract vector spaces. Hmwk 16: 1 – 11 odd, pp 226, 227. |
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Secs. 5.1 and 5.2: Vector spaces and subspaces. Hmwk 17: 13, 17, 18, p 227. |
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12, Nov. 02 – Nov. 06. |
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Sec. 5.2: Vector subspaces and spanning sets. Hmwk 18: 1 – 3, 5, 6abc, 7 – 9, 11ab, 13, 14, 17, pp 238, 239. |
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Sec. 5.3: Linear independence and dimension. Hmwk 19: 1 – 17, pp 248, 249. Quiz 4, covering Hmwk's 15 – 17. Get the solutions here. |
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13, Nov. 09 – Nov. 13. |
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Sec. 5.4. Hmwk 20: 1 – 17, pp 263, 264. |
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Secs. 5.4 and 5.5. Hmwk 21: 19 – 23, p 264. |
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14, Nov. 16 – Nov. 20. |
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Sec 5.5: Row and column spaces. Hmwk 22: 1, 2, 3abc, 4, 5ab, 6 – 11, pp 276 – 278. |
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Sec. 5.6: Rank and nullity. Hmwk 23: 1 – 9, pp 288, 289. Quiz 5, covering Hmwk's 18 – 21. Get the solutions here. |
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15, Nov. 23 – Nov. 27. |
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Sec. 7.1: Eigenvalues and eigenvectors. Hmwk 24: 10, 11, 13, p 289; 1 – 6, p 367. |
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Thanksgiving break. No class. |
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16, Nov. 30 – Dec. 04. |
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Review. Quiz 6, covering Hmwk's 22 – 24. Get the solutions here. Last Class. |
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17, Dec. 07 – Dec. 11. |
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Final exam. 10:15a-12:15p. Get the practice final here. |
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18, Dec. 14 – Dec. 18. |
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