Class Announcements
Watch this video from YouTube:
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Have the following work prepared for Friday class: |
Schedule of Classes
This is a tentative schedule and may be modified as the course progresses. Please check back for each week's homework and read the relevant textbook sections before the class.
| Week
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Reading
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Homework
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Solution
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| Jan. 18, 20
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Sec. 1.1, Systems of Linear Equations 1.2 Row Echelon Form
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HW #1: Due 1/25/05
1.1: 6 (b)(d)(f)(h), 9 1.2: 1,2,3,6(a) (b), 8, 10, 13
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.pdf
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| Jan. 25, 27
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Sec. 1.3, Matrix Algebra 1.4, Elementary Matrices
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HW #2: Due 2/1/05
1.3: 2,7,9,10,13,15,16, 20, 24, 26 1.4: 1, 3, 6
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.pdf
24(b)
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| Feb. 1, 3
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Sec 1.4, Elementary matrices 1.5, Partitioned Matrices
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HW #3: Due 2/8/05 1.4: 9 (a) (d) (g),7(a) (c),11(b), 14 1.5: 11, 13, 15, 18 solution3-2
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solution3-1.pdf
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| Feb. 8, 10
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2.1 The Determinant of a matrix Sec. 2.2, Properties of Determinants
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HW #4: Due 2/15/05 2.1: 2, 4, 5, 6, 11 2.2: 4, 6, 8, 10
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.pdf (only 2.2)
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| Feb. 15, 17
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Midterm Feb. 15
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No homework this week
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Solution to Midterm 1
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| Feb. 22, 24
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3.1 Definition and Examples Sec. 3.2, Subspaces
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HW #5: Due 3/1/05 3.1: 4, 12 3.2: 1(a) (b)(c), 3, 8, 13 Solution5-2
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.pdf
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| Mar. 1, 3
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3.3, Linear Independence 3.4 Basis and Dimension
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HW #6: Due 3/8/05 3.3: 1, 2, 5, 6, 16 3.4: 3,4,7,14
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.pdf
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| Mar. 8, 10
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3.5 , Changes of Basis 3.6 Row Space and Column Space Sec. 4.1, Definition and Examples
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HW #7: Due 3/22/05 3.5: 1, 5(a), 8, 10 3.6: 3, 4 (a)(d), 7, 8, 11, 16, 18 3.5: 9, 11 3.6: 12, 13, 15, 17
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.pdf
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| Mar. 15, 17
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Spring Break
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| Mar. 22, 24
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4.2, Matrix Representations of Linear Transformations 4.3, Similarity
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HW #8: Due 3/29/05 4.1: 5, 7, 15 4.2: 2, 5(a), (c), 7, 8, 11 4.3: 1 (a) (b) (c),4, 7, 14
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.pdf
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| Mar. 29, 31
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5.1, The Scalar Product in R^n Sec 5.2, Orthogonal Subspaces Midterm Mar. 31
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HW #9: Due 4/5/05 5.1: 7, 14 5.2: 2,6, 9,12
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.pdf
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| Apr. 5, 7
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Sec 5.2, Orthogonal Subspaces 5.3, Least Square Problems 5.4, Inner Product Spaces Sec. 5.5 Orthonormal Sets
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HW #10: Due 4/12/05 5.3: 3,4,7,9,10 5.4: 24,29
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.pdf .ps
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| Apr. 12, 14
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Sec. 5.5 Orthonormal Sets Sec.5.6, The Gram-Schmidt Orthogonalization Process Sec. 6.1, Eigenvalues and Eigenvectors
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HW #11: Due 4/19/05 5.5: 2,4, 7, 15, 22, 23 5.6: 3,4, 5, 7
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.pdf .ps
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| Apr. 19, 21
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Sec. 6.1, Eigenvalues and Eigenvectors 6.3, Diagonalization
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HW #12 Due 4/26/05 6.1: 1(a)(b)(f)(g), 2, 3, 5,6,7,8,9,10,11,15, 23 6.3: 1(b)(d)(e), 6, 11, 17, 12, 13,18,
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.pdf .ps
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| Apr. 26, 28
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Sec. 6.2, Systems of Linear Differential Equations 6.4, Hermitian Matrices Lecture notes Review
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HW #13 Due 5/3/05 6.3:25(a)(c), 23(a)(b)(c), 27 6.2: 2(a)(d),4, 5(a),6 6.4:1,2, 5(a)(d)(e),8,20,21(assume A is symmetric)
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.pdf
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| May 12
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Final exam, 9am-12pm 312 MATH
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The final will be comprehensive.
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Upcoming Class Assignments
Homework # Assignment
#1 pp. 529 #2,3,5,9,14,17,22,24,28,37,43
#2 pp. 535 #1,5,8,12,15,19,20,25,30
#3 pp. 542-543 #2,3,8,9,12,16,21,26,31
#4 pp. 562-564 #2,5,11,20,22,27,33
#5 pp. 571-573 #1,2,4,9,12,17,21,25,29,31,41,48,49,51
#6 pp. 574-576 #21,23,27,29,30
#7 pp. 574-576#15,16,19,24,25
Mathematics Quote
The mind uses its faculty for creativity only when experience forces it to do so.
-Jules Henri Poincaré
Extra Credit
Exactly one of the following statements is false:
- Audrey is older than Beatrice.
- Clement is younger than Beatrice.
- The sum of the ages of Beatrice and Clement is twice the age of Audrey.
- Clement is older than Audrey.
Who is the youngest--Audrey, Beatrice or Clement*?
*Come to class with the answer (and an explanation, of course) on Friday and receive two points extra credit!
