Linear Algebra with Applications, Fall 2004 (math 222a, amth 222a)

Meeting times: MWF 10.30-11.20, LOM 215
Text: "Linear Algebra with Applications" by David Lay, 3rd ed.
TA: Roohollah Ebrahimian - "roohollah.ebrahimian@yale.edu"
Problem sessions: Tu and We at 7pm. Venue = LOM 215.
Office Hours: Mo 5pm-6pm, Th 1pm-2pm, AKW 109. Syllabus.

Notes:
Week
Homework
(Due Wed. of the following week.)
Material covered
(This plan is tentative!)
1 (Sep 1)
1.1: 12, 14, 18, 24
1.2: 10, 12, 14, 22, 24
Sections 1.1 and 1.2.
Note: homework for this week is due Sep 15.
2 (Sep 6)
1.3: 10, 14, 18, 24, 28ab, 29, 30
1.4: 6, 12, 14, 19, 20, 24, 32, 34, 36
Sections 1.3, 1.4
3 (Sep 13)
1.5: 10,12,14,24,29-32,38
1.7: 6,8,14,19,20,22,28,36,38
Sections 1.5, 1.7, 1.8
4 (Sep 20)
homework Sections 1.9, 2.1 and parts of 1.6 and 1.10
(chemical formulas, network flows, simple circuits).
5 (Sep 27)
1.6: 12
1.10: 2,8
2.1: 2,8,10,16,34
2.2: 4,12,20,32,35
This homework is due Friday, Oct 8th.
Sections 2.2, 2.3, 2.4.
6 (Oct 4)
2.3: 4, 8, 12, 14, 26
2.4: 4, 8, 10
2.5: 6, 18, 25
Sections 2.5, 4.1.
There is an exam review session Monday at 7pm.
Midterm: Oct 5 at 7pm-8.15pm, Room 220DL.
Notes. Exam. Solutions.
7 (Oct 11)
4.1: 2, 6, 12, 16, 24, 26
4.2: 6, 16, 24, 26, 34
Sections 4.2, 4.3, 4.4.
8 (Oct 18)
4.3: 8, 14, 16, 22, 32
4.4: 12, 14, 16
4.5: 6, 14, 20, 28 (hint: use 27)
Sections 4.5, 4.6, 4.7.
9 (Oct 25)
4.6: 4, 8, 18
4.7: 6, 14
5.1: 6, 8, 16, 22, 32
5.2: 4, 17, 18
Sections 5.1, 5.2, 5.3,
10 (Nov 1)
5.3: 2, 12, 18, 24
5.4: 2, 6, 20
6.1: 6, 13, 20, 24, 30
This homework is due Fr., Nov 12th.
Sections 5.4, 6.1, 6.2
11 (Nov 8)
6.2: 10, 16, 24
6.3: 8, 16, 20
6.4: 8, 10, 22
Sections 6.3, 6.4
No class or office hours on Monday this week.
Review session Monday at 7pm in LOM 215.
Midterm: Nov 9 at 7pm-8.15pm. Room: LOM 215
Notes, exam, solutions.
12 (Nov 15)
6.5: 4, 8, 10, 16, 24
7.1: 12, 20, 24
Sections 6.5, 7.1
No class Friday, no office hours Thursday.
(Thanksgiving)


13 (Nov 29)

Sections 7.2, 7.4, review.
Make-up class on Monday night 7.00-8.00, LOM 215.
Study Week

Review session Thursday at 4pm, LOM 205 (not 215!).
Final

Final: Dec 17 at 2pm-5pm, 208 WLH.
Notes on the final, the final, solutions.

Official description: Matrix representation of linear equations. Gauss elimination. Vector spaces. Linear independence, basis, and dimension. Orthogonality, projection, least squares approximation; orthogonalization and orthogonal bases. Extension to function spaces. Determinants. Eigenvalues and eigenvectors. Diagonalization. Difference equation and matrix differential equations. Symmetric and Hermitian matrices. Orthogonal and unitary transformations; similarity transformations.