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Final
Review Final
Review Answers Course
Information
Maple TA TI
Matrix instructions
Tentative Syllabus
Date
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Topic
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Text
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Homework
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| S.10 |
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 the
form http://fusion.stolaf.edu/formcreator/
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| S.13 |
Vectors |
1.2,1.3 |
2. Read 1.3; 1.2: 7, 12, 25-28;
1.3: 7, 10, 13, 18; Do Maple
TA-1 before 7 a.m. Wed.
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| S.15 |
Lab 1:
Introducing Maple and Maple TA |
1.3 |
3. Read 1.4; 1.3: 21, 26, 27 ; Complete Lab 1 Do Maple
TA-2 before 7 a.m. Friday.
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| S.17 |
Matrix Equations |
1.4 |
4. Read 1.5; 1.4: 1, 4, 6, 8, 10, 12-15, 18, 20;
Do Maple
TA-3
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| S.20 |
Solutions of
Linear Systems |
1.5 |
5. Read 1.6; 1.5: 1, 6, 11, 16, 20, 22, 26;
1.6: 1; Do Maple
TA-4 |
| S.22 |
Applications of
Linear Systems |
1.6 |
6. Read 1.7; 1.5: 30, 32;
1.6: 3, 4 plus 2 more chosen from 6, 9, 13, 14; No Maple
TA; Check-up Quiz on Friday
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| S.24 |
Linear
Independence, Quiz |
1.7 |
7. Reread 1.7; 1.7: 1, 4, 6, 9, 15-20, 30;
Do Maple
TA-5 (due Mon)
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| S.27 |
Linear Independence,
Linear Transformations |
1.7 |
8. 8. Read 1.8; Do Maple TA-6
(due Wed), Review for test; 1.7: 39, 40, 41, 43 (Problems
due O. 4)
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| S.29 |
Linear
Transformations |
1.8 |
9. Reread 1.8; 1.8: 2, 3, 6-9, 12
(Problems due O. 6)
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| O.1 |
Test
1 |
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Covers Sections 1.1-1.7
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| O.4 |
Linear
Transformation Matrix |
1.8 |
10. Read 1.9; Maple TA-7 (due
Wed.) 1.8: 17-20 25, 30, 31, 37, 39
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| O.6 |
One-to-one & Onto
Transformations, Lab 2: Graphing Systems
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1.9
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11. Read 2.1; Maple TA-8 (due Fri.); 1.9: 1, 2, 13-19;
Complete Lab 2 (due O. 11) |
| O.8 |
One-to-one & Onto
Transformations |
1.9 |
12. Read 1.10; Maple TA-9 (due
Mon.); 1.9: 5-7, 10, 11, 25, 27, 29, 30, 37; 2.1: 2, 4
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| O.11 |
Application
2; Matrix Algebra
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1.10,
2.1 |
13. Read 2.2; Maple TA-10; 1.10: any 2 problems;
2.1: 10, 11, 17, 27, 39, 40; 2.2: 3, 6 |
| O.13 |
Invertible
Matrices |
2.2,2.3
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14.Read 2.3; Maple TA-11; 2.2: 7, 13, 16,
18*, 30, 31, 35; 2.3: 2, 6, 8; [For
18, your solution will involve A, P, and P^{-1}]
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| O.15 |
IMT Theorem |
2.3,
3.1 |
15. Read 3.1,3.2; Maple TA-12; 2.3:15-19 (reference parts of IMT), 27;
3.1: 1, 3, 9, 11, 26, 28, 30-32
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| O.18 |
Determinants |
3.1,
3.2 |
16. Read 4.1; Maple TA-13; 3.2: 15-20, 31-36, 39 |
| O.20 |
Lab 3:
Movies w/ Maple |
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17. Maple TA-14 (due Fri.);
Lab 3 (due Mon.)
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| O.22 |
IMT &
Determinants |
4.1 |
18. Read 4.1 & 4.2; No Maple
TA for O. 27; 4.1: 1, 2, 6, 8, 14, 15 (due N. 1)
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Fall Break |
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| O.27 |
Vector
Spaces & Subspaces |
4.1 |
19. Reread 4.2; Maple TA-15 (due
Fri.); 4.1: 10, 12,16, 27-29; 4.2: 2, 3 (problems
due N. 3)
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| O.29 |
Test 2 |
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| N.1 |
Null and Column
Spaces |
4.2 |
20. Read 4.3; No Maple TA; 4.2: 6, 7, 10, 16, 21, 31, 32, 33, 37
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| N.3 |
Bases |
4.2-4.3 |
21. Reread 4.3; Maple TA-16 (due
Fri); 4.3: 1, 3, 7, 11, 14, 16, 19, 23
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| N.5 |
L. Independent
Sets, Bases |
4.3 |
22. Read 4.4; Maple TA-17 (due
Mon); 4.3: 24, 29-31;
4.4: 1, 4, 5, 8
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| N.8 |
Coordinate
Systems |
4.4 |
23. Read 4.5; Maple TA-18 (due
Wed); 4.4: 13, 14, 17-20, 27, 31, 32
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| N.10 |
Dimension |
4.5 |
24. Read 4.6 (p. 265-); Maple
TA-19 (due Fri); 4.5: 1,
11, 14, 21, 25-27
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| N.12 |
Dimension, Rank |
4.5,
4.6 |
25. Read 4.9; Maple TA-20 (due
Mon). Lab 4
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| N.15 |
Markov Chains |
4.9 |
26. Read 5.1; Maple TA-21 (due
Wed.); 4.6: 1, 4, 8, 9 (ignore row space questions) ; 4.9: 1-4, 8
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| N.17 |
Eigenvectors
& values |
5.1 |
27. Read 5.1; Maple TA-22 (due
Fri); 4.9: 13, 21a-c; 4.S: 7-9; 5.1: 2, 6, 11, 12 |
| N.19 |
Eigenvectors
& values |
5.1 |
28. Read 5.2; Maple TA-23 (due
Mon); 5.1: 23, 25, 31, 32, 33, 35, 38;
5.2: 2, 8, 9, 15, 25 (See example 5)
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| N.22 |
Characteristic
Equation (Lab 5) |
5.2 |
29. Read 5.3; Do Lab 5; No
Maple TA due N. 29. Review
3 topics and problems
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Thanksgiving
Break |
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| N.29 |
Diagonalization |
5.3 |
30. Read 5.4; Maple TA-24 (due
Wed., D.1); 5.3: 2, 6, 17-19, 23*, 24*, 25*, 27 (*assume the eigenvalues are all distinct)
(Due Mon. D. 6)
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| D.1 |
Diagonalization |
5.3
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31.No Maple TA due
D.3; Eigen-vector applications web search: e-mail cederj one or two sentences describing
each of two or more applications - include links to the websites (due
D. 8)
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| D.3 |
Test 3 |
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Covers: 4.1-4.6; 4.9, 5.1-5.2
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| D.6 |
E-vectors
& L. Trans. (Lab 6) |
5.4
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32. Read5.4, 6.1; 5.4: 1, 3, 5*, 7, 8, 11,
13 (*For 5, omit (b) and add 5(d): Use your matrix from (c) to redo part (a).6.1: 2, 5, 8, 10, 14,
28 (Due D. 10)
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| D.8 |
Eigenvectors
& L. Trans. |
5.4 |
33.Read 6.2; Lab 6; 6.2: 10, 11, 13, 18, 20, 22
(Due D. 13) |
| D.10 |
Inner Products,
Orthogonal Sets |
6.1-6.2 |
No Homework Assignment |
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| D.13 |
Review |
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Take-home Final Out - 25 points (See rules below.)
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| D.20
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In-Class Final Exam
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9:00 a.m. In-Class Final Exam - 100 pts
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