Math 330-Calendar

Course Calendar
Linear Algebra, Math 330 - Section 1
Kriloff, Fall, 2004

This schedule is tentative and will be updated during the semester. Check back often.
Read the section and do the homework marked C before the class for which the section is scheduled. Come prepared to compare your solutions to the C homework with your group in class. Bring a list of any questions that arose. See the suggestions for effective reading at the bottom of this page.
Homework marked T is to be turned in on the Friday when it is marked due. 10% of your grade on each assignment will be based on applying the writing guidelines for that assignment and bonus points may be given for exceptional writing and presentation.
Homework marked O is strongly suggested for you to practice on your own (of course other problems are good too!).
You are encouraged to work additional problems in each section on your own. In particular, you should do enough of the initial computational problems in each section to be confident you can do them correctly.

Last update: Monday, December 6, 2004

Monday Wednesday Friday

8/23
1.1 Linear Systems

T: 26, 28, 36, 38, 44 8/25
1.2 Elimination
C: 4, 9, 18, 23
T: 10, 24, 26, 34, 38, 40
8/27 HW 1.1-1.2 due
1.3 Matrix Algebra
C: 1, 4, 5, 8, 9, 12
T: 36, 44, 48, 52, 56

8/30 Def. Quiz 1.2-1.3
2.1 Linear Transformations
C: 6, 8, 24, 26, 30
T: 34, 38, 39, 42, 44, 46, 52
9/1
2.1 Linear Transformations
C: 6, 8, 24, 26, 30
T: 34, 38, 39, 42, 44, 46, 52
9/3 HW 1.3 due
2.2 Geometry of Transf.
C: 2, 6, 8, 10, 49
T: 24, 26, 32, 38, 46, 47

9/6 No Class

9/8 HW 2.1 due
2.2 Geometry of Transf.
C: 2, 6, 8, 10, 49
T: 24, 26, 32, 38, 46, 47
9/10 Def. Quiz 2.1-2.2
2.3 Inverse of Transf.
C: 14, 15, 45, 46, 51
T: 28, 40, 42, 44, 54

9/13 HW 2.2-2.3 due
2.4 Matrix Products
C: 7, 13, 15, 16, 20, 50
T: 18, 22, 30, 44, 46, 54 9/15
3.1 Image and Kernel
C: 6, 15, 16, 20, 24
T: 32, 34, 44, 46, 49
9/17
3.1 Image and Kernel
C: 6, 15, 16, 20, 24
T: 32, 34, 44, 46, 49

9/20 HW 2.4-3.1 due
3.2 Bases and Independence
C: 2, 4, 6, 24, 28
O: 10-33 as needed
9/22 Def. Quiz 3.1-3.2
3.2 Bases and Independence
C: 36, 38, 48
O: 35, 37, 39
9/24
3.3 Dimension of Subspace
C: 28, 30, 36
T: 40, 46, 52, 58, 59
O: 1-26 as needed, 41, 51
and exam review

9/27 EXAM 1
Sections 1.1-3.2

9/29
3.3 Dimension of Subspace
C: 28, 30, 36
T: 40, 46, 52, 58, 59
O: 1-26 as needed, 41, 51
10/1
3.4 Coordinates
C: 16, 28, 34
T: 42, 46, 65, 66
O: 1-30 as needed, 48, 51, 55

10/4 HW 3.3-3.4 due
3.4 Coordinates
4.1 Linear Spaces
C: 1, 2, 11, 16
T: 6, 14, 26, 30
O: 1-36 as needed
10/6 Def. Quiz 3.3-3.4
4.1 Linear Spaces
C: 1, 2, 11, 16
T: 6, 14, 26, 30
O: 1-36 as needed
10/8
4.1 Linear Spaces
4.2 Isomorphisms
C: 6, 18, 26, 52
T: 20, 22, 32, 54, 64
O: 1-50 as needed

10/11
4.2 Isomorphisms
C: 6, 18, 26, 52
T: 20, 22, 32, 54, 64
O: 1-50 as needed
10/13 Def. Quiz 4.1-4.2
HW 4.1-4.2 due
5.1 Orthonormal Bases
C: 6, 10, 25, 26, 42
T: 12, 14, 16, 23, 28
O: 1-9 as needed
10/15
5.2 Gram-Schmidt Process
C: 12, 26, 30, 33
T: 14, 18, 28, 32, 34
O: 1-28 as needed

10/18 HW 5.1-5.2 due
5.3 Orthogonal Transf.
C: 4, 6, 8, 16, 32
T: 10, 24, 40, 50, 58
O: 1-26 as needed
10/20 Def. Quiz 5.1, 5.3
5.3 Orthogonal Transf.
C: 4, 6, 8, 16, 32
T: 10, 24, 40, 50, 58
O: 1-26 as needed
5.4 Least Squares and Data
10/22
5.4 Least Squares and Data
C: 2, 9, 24, 28, 31
T: 6, 10, 16, 22, 32, 36
O: 19-26 and 36-41 as needed

10/25 EXAM 2
Sections 3.3-5.3
10/27
5.4 Least Squares and Data
C: 2, 9, 24, 28, 31
T: 6, 10, 16, 22, 32, 36
O: 19-26 and 36-41 as needed
10/29
5.4 Least Squares and Data
5.5 Inner Product Spaces
C: 3, 7, 24a
T: 2, 16a, 24b

11/1
5.5 Inner Product Spaces
C: 3, 7, 24a
T: 2, 16a, 24b

11/3 HW 5.4-5.5 due
6.1 Determinants
C: 8, 16, 26, 40, 56
T: 30, 38, 44, 46, 52
O: 1-42 as needed
11/5
6.2 Properties of Dets.
C: 12, 14, 30, 31, 59
T: 6, 32, 40, 42, 46, 60
O: 1-16 as needed
6.3 Geom. Interp. of Dets.
C: 2, 3, 19, 22
T: 4, 20, 24, 26

11/8 HW 6.1-6.2 due
6.3 Geom. Interp. of Dets.
C: 2, 3, 19, 22
T: 4, 20, 24, 26 11/10
7.1 Dynamical System Ex.
C: 4, 10, 24
T: 6, 18, 26, 32, 52
TO DO CALCULATIONS FOR #52,
MODIFY THE MAPLE FILE 7.1Example
11/12
7.1 Dynamical System Ex.
C: 4, 10, 24
T: 6, 18, 26, 32, 52
7.2 Finding Eigenvalues
C: 12, 17, 20, 38
T: 10, 22, 34, 40
O: 1-13 as needed

11/15 HW 6.3-7.1 due
7.2 Finding Eigenvalues
C: 12, 17, 20, 38
T: 10, 22, 34, 40
O: 1-13 as needed
11/17
7.2 Finding Eigenvalues
C: 12, 17, 20, 38
T: 10, 22, 34, 40
O: 1-13 as needed
11/19
7.3 Finding Eigenvectors
C: 14, 16, 18, 34, 36, 42
O: 1-18 as needed

11/22 No Class 11/24 No Class 11/26 No Class

11/29 EXAM 3
Sections 5.5-7.3
12/1
7.4 Diagonalization
C: 11, 15, 26, 36
T: 16, 28, 34, 42, 54
O: 1-50 as needed
12/3
Two-proof Quiz
7.4 Diagonalization

12/6
7.5 Complex Eigenvalues
C: 3, 9, 18, 22
T: 12, 26, 28, 42
O: 1-28 and 45-50 as needed
12/8 HW 7.4-7.5 due
8.1 Symmetric Matrices
C: 6, 10, 12, 14
12/10
Review for Final
BRING QUESTIONS!

12/13
FINAL, 10:00am-12:00pm,
Cumulative

Suggestions for effective reading
Reading a mathematics text effectively requires effort and practice. You should:

Read productively. Have a pen or pencil and paper ready to use. As you read, write down all questions you have, observations you make, and examples or computations you work out. This should help you understand and retain the material better. It may also help to make outlines, summaries, concept diagrams, or lists of main results in your own words. Read when you are alert.
Read before the class in which we discuss the topic. Do not expect to understand everything you read the first time, but spend time with the material ahead of class in order to

familiarize yourself with the basic ideas so you can participate and understand more in class,
identify what you do not understand and formulate questions to ask in class or office hours.

Re-read. Almost everyone (including me) finds it necessary to read mathematics several times to fully understand it. You will understand the material more deeply when you re-read it.
Focus on definitions, conclusions, and methods. Mathematics is a language and it is absolutely necessary to understand the precise definitions of key terms. The results and how they were obtained are also crucial.
Reflect on what you read. Consider connections of what you have read to previous material and to other courses. Anticipate possible future material.
Discuss what you read. Talking to someone inside or outside the class about the material will strengthen your knowledge.

Monday	Wednesday	Friday
8/23 1.1 Linear Systems T: 26, 28, 36, 38, 44	8/25 1.2 Elimination C: 4, 9, 18, 23 T: 10, 24, 26, 34, 38, 40	8/27 HW 1.1-1.2 due 1.3 Matrix Algebra C: 1, 4, 5, 8, 9, 12 T: 36, 44, 48, 52, 56
8/30 Def. Quiz 1.2-1.3 2.1 Linear Transformations C: 6, 8, 24, 26, 30 T: 34, 38, 39, 42, 44, 46, 52	9/1 2.1 Linear Transformations C: 6, 8, 24, 26, 30 T: 34, 38, 39, 42, 44, 46, 52	9/3 HW 1.3 due 2.2 Geometry of Transf. C: 2, 6, 8, 10, 49 T: 24, 26, 32, 38, 46, 47
9/6 No Class	9/8 HW 2.1 due 2.2 Geometry of Transf. C: 2, 6, 8, 10, 49 T: 24, 26, 32, 38, 46, 47	9/10 Def. Quiz 2.1-2.2 2.3 Inverse of Transf. C: 14, 15, 45, 46, 51 T: 28, 40, 42, 44, 54
9/13 HW 2.2-2.3 due 2.4 Matrix Products C: 7, 13, 15, 16, 20, 50 T: 18, 22, 30, 44, 46, 54	9/15 3.1 Image and Kernel C: 6, 15, 16, 20, 24 T: 32, 34, 44, 46, 49	9/17 3.1 Image and Kernel C: 6, 15, 16, 20, 24 T: 32, 34, 44, 46, 49
9/20 HW 2.4-3.1 due 3.2 Bases and Independence C: 2, 4, 6, 24, 28 O: 10-33 as needed	9/22 Def. Quiz 3.1-3.2 3.2 Bases and Independence C: 36, 38, 48 O: 35, 37, 39	9/24 3.3 Dimension of Subspace C: 28, 30, 36 T: 40, 46, 52, 58, 59 O: 1-26 as needed, 41, 51 and exam review
9/27 EXAM 1 Sections 1.1-3.2	9/29 3.3 Dimension of Subspace C: 28, 30, 36 T: 40, 46, 52, 58, 59 O: 1-26 as needed, 41, 51	10/1 3.4 Coordinates C: 16, 28, 34 T: 42, 46, 65, 66 O: 1-30 as needed, 48, 51, 55
10/4 HW 3.3-3.4 due 3.4 Coordinates 4.1 Linear Spaces C: 1, 2, 11, 16 T: 6, 14, 26, 30 O: 1-36 as needed	10/6 Def. Quiz 3.3-3.4 4.1 Linear Spaces C: 1, 2, 11, 16 T: 6, 14, 26, 30 O: 1-36 as needed	10/8 4.1 Linear Spaces 4.2 Isomorphisms C: 6, 18, 26, 52 T: 20, 22, 32, 54, 64 O: 1-50 as needed
10/11 4.2 Isomorphisms C: 6, 18, 26, 52 T: 20, 22, 32, 54, 64 O: 1-50 as needed	10/13 Def. Quiz 4.1-4.2 HW 4.1-4.2 due 5.1 Orthonormal Bases C: 6, 10, 25, 26, 42 T: 12, 14, 16, 23, 28 O: 1-9 as needed	10/15 5.2 Gram-Schmidt Process C: 12, 26, 30, 33 T: 14, 18, 28, 32, 34 O: 1-28 as needed
10/18 HW 5.1-5.2 due 5.3 Orthogonal Transf. C: 4, 6, 8, 16, 32 T: 10, 24, 40, 50, 58 O: 1-26 as needed	10/20 Def. Quiz 5.1, 5.3 5.3 Orthogonal Transf. C: 4, 6, 8, 16, 32 T: 10, 24, 40, 50, 58 O: 1-26 as needed 5.4 Least Squares and Data	10/22 5.4 Least Squares and Data C: 2, 9, 24, 28, 31 T: 6, 10, 16, 22, 32, 36 O: 19-26 and 36-41 as needed
10/25 EXAM 2 Sections 3.3-5.3	10/27 5.4 Least Squares and Data C: 2, 9, 24, 28, 31 T: 6, 10, 16, 22, 32, 36 O: 19-26 and 36-41 as needed	10/29 5.4 Least Squares and Data 5.5 Inner Product Spaces C: 3, 7, 24a T: 2, 16a, 24b
11/1 5.5 Inner Product Spaces C: 3, 7, 24a T: 2, 16a, 24b	11/3 HW 5.4-5.5 due 6.1 Determinants C: 8, 16, 26, 40, 56 T: 30, 38, 44, 46, 52 O: 1-42 as needed	11/5 6.2 Properties of Dets. C: 12, 14, 30, 31, 59 T: 6, 32, 40, 42, 46, 60 O: 1-16 as needed 6.3 Geom. Interp. of Dets. C: 2, 3, 19, 22 T: 4, 20, 24, 26
11/8 HW 6.1-6.2 due 6.3 Geom. Interp. of Dets. C: 2, 3, 19, 22 T: 4, 20, 24, 26	11/10 7.1 Dynamical System Ex. C: 4, 10, 24 T: 6, 18, 26, 32, 52 TO DO CALCULATIONS FOR #52, MODIFY THE MAPLE FILE 7.1Example	11/12 7.1 Dynamical System Ex. C: 4, 10, 24 T: 6, 18, 26, 32, 52 7.2 Finding Eigenvalues C: 12, 17, 20, 38 T: 10, 22, 34, 40 O: 1-13 as needed
11/15 HW 6.3-7.1 due 7.2 Finding Eigenvalues C: 12, 17, 20, 38 T: 10, 22, 34, 40 O: 1-13 as needed	11/17 7.2 Finding Eigenvalues C: 12, 17, 20, 38 T: 10, 22, 34, 40 O: 1-13 as needed	11/19 7.3 Finding Eigenvectors C: 14, 16, 18, 34, 36, 42 O: 1-18 as needed
11/22 No Class	11/24 No Class	11/26 No Class
11/29 EXAM 3 Sections 5.5-7.3	12/1 7.4 Diagonalization C: 11, 15, 26, 36 T: 16, 28, 34, 42, 54 O: 1-50 as needed	12/3 Two-proof Quiz 7.4 Diagonalization
12/6 7.5 Complex Eigenvalues C: 3, 9, 18, 22 T: 12, 26, 28, 42 O: 1-28 and 45-50 as needed	12/8 HW 7.4-7.5 due 8.1 Symmetric Matrices C: 6, 10, 12, 14	12/10 Review for Final BRING QUESTIONS!
12/13 FINAL, 10:00am-12:00pm, Cumulative