Text: Matrices and Linear Algebra by Schneider and Barker
| Date |
Topic |
To Hand In |
Due In Class |
| 1/28-2/1 |
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| M | 1.1-3 Intro to matrices | 1.1 #1ac, 2b 1.2 #5 1.3 #4,5,13 |
|
| T |
Lab #1 in Mudd014 |
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| W |
1.4-5 Matrix basics | 1.4 #6,9,12 1.5 #5abcde |
|
| F |
2.1 Systems of equations | ||
| 2/4-2/8 |
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| M |
2.2 Row operations | 2.2 #6,7,9 | 1.1-1.5 |
| T |
Lab #2 Solving linear systems | ||
| W |
2.3 Row echelon form | 2.3 #1abcf,3 | |
| F |
2.4 Homogeneous systems | 2.4 #1abcd,3abcd,4 | |
| 2/11-2/15 |
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| M |
2.5-6 General solutions | 2.5 #1abcd,2 2.6 #1abcd,3,4abc,5abc |
2.2-2.3 |
| T |
Lab #3 Vandermonde matrices | ||
| W |
2.7 Inverses | 2.7 #1abd,2,3,4 | |
| F |
Leontief input-output model, Neumann series | ||
| 2/18-2/22 |
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| M |
LU factorization | 2.4-2.7 | |
| T |
Lab #4 LU factorization | ||
| W |
3.1 Vector spaces Null and column spaces |
3.1 #1d,2,3 | |
| F |
Review | ||
| 2/25-2/29 |
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| M |
Exam 1 | ||
| T |
Lab #5 Pipes Pipe network picture |
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| W |
3.2 Subspaces, linear combinations | 3.2 #2,3,5,6,9ab (In #6c, W1 and W2 are generic, not the subspaces from part a) |
|
| F |
3.3 Linear independence | 3.3 #2,4abcd,6b,9 | |
| 3/3-3/7 |
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| M | 3.4 Bases (plural of basis) Rank and dimension |
3.4 #3,5,6,8,10bc | 3.1-3.2 |
| T |
Lab #6 Concrete mixes | ||
| W |
3.5 Representations | 3.5 #1ac,2ac,4c,5a,6ab | |
| F |
3.6 Row spaces | 3.6 # 1,6,8,9 | |
| 3/10-3/14 |
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| M |
3.7 Column spaces | 3.7 # 1,3,5,8 | 3.3-3.5 |
| T |
Lab #7 Portfolio analysis | ||
| W |
4.1-4 Determinants and permutations | 4.1 #2ab 4.3 #2,3 4.4 #3,5,6 |
|
| F |
4.5 Determinants, Cramer's rule | 4.5 #7,9ab | |
| 3/15-3/23 |
Spring Recess | ||
| 3/24-3/28 | |||
| M |
Determinants applications | 3.6-7,4.1-5 | |
| T |
Lab #8 Geometry and determinants | ||
| W |
5.1 Linear transformations | 5.1 #2,4,5,6,7 | |
| F |
Review (solutions to review sheet) | ||
| 3/31-4/4 |
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| M |
Exam 2 | ||
| T |
Lab #9 Hill codes | ||
| W |
5.2 Representations of lin. transf. | 5.2 #1,4abc,6 | |
| F |
5.3 Change of basis | 5.3 #2,3 | |
| 4/7-4/11 |
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| M |
6.1 Eigenvalues | 6.1 #1abd,4,6 | 5.1-2,Worksheet |
| T |
Lab #10 Parking lots | ||
| W |
6.3 Similarity 6.4 Alg and geom multiplicities Diagonalizing matrices |
6.3 #1,2,4,8,10 6.4 #1abd |
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| F |
No class |
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| 4/14-4/18 |
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| M |
Markov chain application Intro to Google |
5.3,6.1 | |
| T |
Lab #11 Google | ||
| W |
Linear algebra behind Google | ||
| F |
Method of powers | ||
| 4/21-4/25 |
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| M |
Finish eigenvalue material | Worksheet,6.3,6.4 | |
| T |
Lab #12 Discrete dynamical systems | ||
| W |
7.1 Inner products | 7.1 #3,4,5,6 | |
| F |
Review | Google exercises | |
| 4/28-5/2 |
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| M |
Exam 3 | ||
| T |
Lab #13 Method of powers | ||
| W |
7.3 Orthogonal bases | 7.3 #5,6 | |
| F |
Projection into a subspace | ||
| 5/5-5/9 |
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| M |
Least squares | 7.1,7.3 | |
| T |
Lab #14 Least squares | ||
| W | Covariance matrices | ||
| F | Review for the final exam | 2007 and 2006 Final Exams | |
|
Final exam |
Monday May 12, 2pm Mudd 205 |