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Class 3: Algebra 2 Honors ← Back to All Pages

Jonathan Doe

Class Announcements

Come to class on time with materials noted on syllabus.

Have prepared for Friday the following:
pp. 574-576#15,16,19,24,25

Schedule of Classes

This schedule is tentative 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

Reading

Homework

Solution

Jan. 18, 20

Sec. 1.1, Systems of Linear Equations
1.2 Row Echelon Form

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

.pdf

Jan. 25, 27

Sec. 1.3, Matrix Algebra
1.4, Elementary Matrices

HW #2: Due 2/1/05

1.3: 2,7,9,10,13,15,16, 20, 24, 26
1.4: 1, 3, 6

.pdf

24(b)

Feb. 1, 3

Sec 1.4, Elementary matrices
1.5, Partitioned Matrices

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

solution3-1.pdf

Feb. 8, 10

2.1 The Determinant of a matrix
Sec. 2.2, Properties of Determinants

HW #4: Due 2/15/05

2.1: 2, 4, 5, 6, 11
2.2: 4, 6, 8, 10

.pdf (only 2.2)

Feb. 15, 17

Midterm Feb. 15

No homework this week

Solution to Midterm 1

Feb. 22, 24

3.1 Definition and Examples
Sec. 3.2, Subspaces

HW #5: Due 3/1/05

3.1: 4, 12
3.2: 1(a) (b)(c), 3, 8, 13
Solution5-2

.pdf

Mar. 1, 3

3.3, Linear Independence
3.4 Basis and Dimension

HW #6: Due 3/8/05

3.3: 1, 2, 5, 6, 16
3.4: 3,4,7,14

.pdf

Mar. 8, 10

3.5 , Changes of Basis
3.6 Row Space and Column Space
Sec. 4.1, Definition and Examples

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

.pdf

Mar. 15, 17

Spring Break



Mar. 22, 24

4.2, Matrix Representations of Linear Transformations
4.3, Similarity

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

.pdf

Mar. 29, 31

5.1, The Scalar Product in R^n
Sec 5.2, Orthogonal Subspaces

Midterm Mar. 31,

HW #9: Due 4/5/05
5.1: 7, 14
5.2: 2,6, 9,12


.pdf

Apr. 5, 7

Sec 5.2, Orthogonal Subspaces
5.3, Least Square Problems
5.4, Inner Product Spaces
Sec. 5.5 Orthonormal Sets

HW #10: Due 4/12/05
5.3: 3,4,7,9,10
5.4: 24,29

.pdf .ps

Apr. 12, 14

Sec. 5.5 Orthonormal Sets
Sec.5.6, The Gram-Schmidt Orthogonalization Process
Sec. 6.1, Eigenvalues and Eigenvectors

HW #11: Due 4/19/05
5.5: 2,4, 7, 15, 22, 23
5.6: 3,4, 5, 7

.pdf .ps

Apr. 19, 21

Sec. 6.1, Eigenvalues and Eigenvectors
6.3, Diagonalization

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,

.pdf .ps

Apr. 26, 28

Sec. 6.2, Systems of Linear Differential Equations
6.4, Hermitian Matrices Lecture notes
Review

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)

.pdf

May 12

Final exam, 9am-12pm
312 MATH

The final is comprehensive.


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:

  1. Audrey is older than Beatrice.
  2. Clement is younger than Beatrice.
  3. The sum of the ages of Beatrice and Clement is twice the age of Audrey.
  4. 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!