School of Mathematics
Georgia Institute of Technology
Atlanta, GA 30332-0160
h e i l @ m a t h . g a t e c h . e d u
MATH 2406 (ABSTRACT VECTOR SPACES), Fall 2008
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Course Syllabus
- Background and supplementary materials:
- HOMEWORK:
- EXAMS:
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Exam 1 will take place on Wednesday, September 24, 2008 (note new day).
The topics for the exam are the concepts that were covered in
Homeworks 1 and 2, including functions, inner products, norms,
vector spaces, subspaces, linear combinations, spans, independence,
and related material.
You are allowed to bring one 8.5x11 sheet of notes to the exam
(you can write on both sides).
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Exam 2 will take place on Wednesday, October 29, 2008 (note new day).
The topics for the exam focus on the concepts that were covered in
Homeworks 3 and 4, including linear transformations, bases, dimension,
orthogonality, orthogonal projections, and related topics.
Note that these concepts build on all the earlier concepts of the course,
so you need to be fluent with the previous material as well.
- Our Final Exam is comprehensive.
You are allowed to bring one 8.5x11 sheet of notes to the exam
(you can write on both sides).
- Recommended Practice Homework Problems:
- 1.4: #5, 6, 7, 8
- 1.8: #3, 4, 10, 19, 20, 25
- 1.11: #8, 14, 15, 17, 18, 19, 20
- 1.17: #1, 3, 4, 5, 6
- 3.5: #1, 2, 9, 12, 13, 17, 21, 22, 25
- 3.10: #3, 4, 6, 8, 12, 13, 16, 18, 20, 23, 24, 25, 26
- 3.13: #1, 3, 4, 5, 6, 8, 9, 10, 12, 14, 16, 17
- 3.17: #2, 3, 4, 5, 6, 7, 8, 9
- 4.4: #2, 5, 6, 10, 12, 13, 14, 15, 24, 25, 26, 28, 29, 30
- 4.8: #1, 5, 8, 18, 21, 22, 23, 24, 25, 26, 31, 32
- 4.12: #1, 2, 4, 7, 10, 12, 14, 16, 19
- 4.16: #2, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15
- 4.20: #7, 8, 11, 13
- 4.21: #1, 2, 3, 4, 5, 7, 8, 9, 11
- 5.8: #4, 5, 6, 7, 8
- 5.15: #1, 3, 7
- 6.4: #1, 2, 3, 5, 6, 7, 8
- 6.10: #1, 2, 3, 4, 5, 6, 7, 10, 11