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Answers
to Final Review Course
Information
Maple TA TI
Matrix instructions
Date
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Topic
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Text
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Homework
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| F. 7 |
An Intro
Application;
Systems of Linear Equations |
1.1-1.2 |
1. Read Note to Student, Intro to Ch. 1, 1.1-1.2;
1.1: 1, 11, 17-19, 29-32; 1.2: 2, 23, 24. Also fill out
form: http://fusion.stolaf.edu/formcreator/
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| F. 9 |
Vectors |
1.2,1.3 |
2. Read 1.3; 1.2: 7, 12, 25-28;
1.3: 7, 10, 13, 18;
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| F.11 |
Lab 1:
Introducing Maple and Maple TA |
1.3 |
3. Read 1.4; Complete
Lab 1;
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| F.14 |
Matrix Equations |
1.3, 1.4 |
4. Read 1.5; 1.3: 21, 26, 27;
1.4: 1, 4, 6, 8, 10, 12-15, 18, 20 |
| F.16 |
Solutions of
Linear Systems |
1.5 |
5. Read 1.6; 1.5:
1, 6, 11, 16, 20, 22, 26; 1.6: 1
|
| F.18 |
Applications of
Linear Systems |
1.6 |
6. Read 1.7; Do
TA-1 and 2 for Monday; 1.5: 30, 32; 1.6: 3, 4 plus 2 more chosen from 6, 9, 13,
14 |
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| F.21 |
Linear Independence |
1.7 |
7. Reread 1.7; 1.7: 1, 4, 6, 9, 15-20, 30;
Maple TA-3 (due Wed) |
| F.23 |
Linear
Independence, Linear Transformation; QUIZ |
1.7
|
8. Read 1.8; Do
TA-4 (due Fri.); 1.7: 39, 40, 41, 43; 1.8:
1-4, 7 (Problems due March 2) |
| F.25 |
Linear
Transformations |
1.8 |
9. Reread 1.8;
TA-5 (for Wednesday); 1.8: 6, 8, 9, 12, 17, 18 (Problems due
March 4) |
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| F.28 |
Test
1 |
|
Covers Sections 1.1-1.7
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| M. 2 |
Linear
Transformation Matrix |
1.8 |
10. Read 1.9; TA-6 (due
Monday) 1.8: 19, 20 25, 30, 31, 37, 39; 1.9: 1, 2,
13 |
| M. 4 |
One-to-one & Onto
Transformations, Lab
2: Graphing Systems
|
1.9 |
11. Read 2.1; No
Maple TA; Complete Lab 2 (due M. 9) |
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| M. 7 |
One-to-one & Onto
Transformations, 3-D graphs |
1.9 |
12. Read 1.10;
TA-7 (due
Wed); 1.9: 6, 10, 14, 15, 17, 18, 25, 29, 30, 37; 2.1: 2, 4
|
| M. 9 |
Application
2; Matrix Algebra |
1.10,
2.1 |
13. Read 2.2; TA-8
(due Fri.); 1.10: any 2 problems; 2.1: 9, 10, 11, 17, 27, 39, 40;
2.2: 3, 6 |
| M.11 |
Invertible
Matrices |
2.2,2.3
|
14.Read 2.3; TA-9
(due Mon.); 2.2: 7, 13, 16, 18*, 30, 31, 35; 2.3: 2, 6, 8;
[*For 18, solution includes A, P, P^{-1}] |
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| M.14 |
Lab 3:
Movies w/ Maple |
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15. Read 3.1;
TA-10 (due Wed.) Complete Lab 3 |
| M.16 |
IMT Theorem |
2.2, 2.3 |
16. Read 3.1,3.2;
TA-11 (due Fri.); 2.3: 15-19 (reference parts of IMT), 27;
3.1: 1, 3 |
| M.18 |
Determinants |
3.1,
3.2 |
17. Read 4.1; No
TA; 3.1: 9, 11, 26, 28, 30-32; 3.2:
31-36 |
| |
Spring Break |
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| M.30 |
Determinants &
Vector Spaces |
4.1 |
18. Read 4.1 & 4.2; TA-12
(due Fri.); 4.1: 1, 2, 6, 8, 14, 15 |
| A. 1 |
Vector
Spaces & Subspaces |
4.1 |
19. Reread 4.2;
TA-13 (due Wed); 4.1: 10, 12,16, 27-29; 4.2: 2, 3 (problems due
Fri.) |
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| A. 4 |
Test 2 |
|
Covers: 1.8-1.9,
2.1-2.3, 3.1-3.2 |
| A. 6 |
Null and Column
Spaces |
4.2 |
20.Read 4.3; TA-14
(due Fri.); 4.2:6, 7, 16, 21, 31, 32, 33, 37 |
| A. 8 |
Bases |
4.2-4.3 |
21. Reread 4.3; TA
cancelled for Mon; 4.3: 1, 3, 7, 11, 14, 16, 19, 23 |
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| A.11 |
L. Independent
Sets, Bases |
4.3 |
22. Read 4.4; TA-15 (due Wed); 4.3: 24, 29-31*; 4.4: 1, 4, 5, 8 [*For
31, start by writing out the equation for lin. dep. of
v_1,...,v_p] |
| A.13 |
Coordinate
Systems |
4.4 |
23. Read 4.5; TA-16 (due
Fri); 4.4: 13, 14, 17-20, 27, 31, 32 |
| A.15 |
Dimension, 4th
Dimension? |
4.5 |
24. Read 4.6 (p. 265-);
TA-17 (due Mon); 4.5: 1, 11, 14, 21, 25-27; 4.6:
Write out carefully reasoned answers for 20, 22, 24
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| A.18 |
Dimension,
Rank |
4.5,
4.6 |
25. Read 4.9; TA-18
(due Wed); 4.6: 1, 4, 8, 9 (ignore row space questions)
; Lab 4; |
| A.20 |
Markov Chains |
4.9 |
26. Read 5.1; TA-19
(due Fri); Add to previous 4.6 assignment: 4.9: 1-4, 8,
13 (the combined problem sets are due Mon.) |
| A.22 |
Eigenvectors
& values |
5.1 |
27. Reread 5.1;
TA-20 (due Mon); 4.9: 21a-c; 4.S: 7-9; 5.1: 2, 6, 11, 12
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| A.25 |
Eigenvectors
& values (Lab 5) |
5.1 |
28. Read 5.2; TA-21 (due
Wed); Lab 5 |
| A.27 |
Characteristic
Equation |
5.2 |
29. Read 5.3;
TA-22 (due Fri.); 5.1: 23, 25, 31, 32, 35, 38; 5.2: 2, 8, 9, 15, 25
(For 25, see example 5) |
| A.29 |
Diagonalization |
5.3 |
30. Read 5.4; No
TA due Mon.; 5.3: 2, 6, 17-19, 23*, 24*, 25*, 27 (*assume the eigenvalues are all distinct)
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| M.2 |
Diagonalization (Lab
6) |
5.3
|
31.
No TA, Lab 6 (due May 9), Eigen-vector applications web search: e-mail cederj one or two sentences describing each of
2 or more applications - include links to the websites (due
May 9) |
| M.4 |
E-vectors
& L. Trans. |
5.4
|
32.No TA, Read
5.4, 6.1; 5.4: 1, 3, 5*, 7, 8, 11, 13 (*For 5, omit (b) , add 5(d): Use matrix from (c) to redo part (a) (due
May 11) |
| M.6 |
Test 3 |
|
Covers: 4.1-4.6; 4.9,
5.1-5.3 |
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| M.9 |
Eigenvectors
& L. Trans. |
5.4 |
33. Read 6.2;
TA-23 due Wed; 6.1: 2, 5, 8, 10, 14, 28 (Due May 13) |
| M.11 |
Inner Products,
Orthogonal Sets |
6.1-6.2 |
34. 6.2: 10, 11, 13, 18, 20, 22 (Due
May 16) |
| M.13 |
Orthogonal Sets |
6.2
|
No
Assignment |
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| M.16 |
Review |
|
Take-home Maple Final (25
pts) |
| M. 21 |
In-Class Final Exam
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2:30 p.m. In-Class Final
Exam - 100 pts |
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