Text: Custom version of Linear Algebra with Applications by Gareth Williams (available at Amherst Books)
| Date |
Topic |
Assigned Work and Links |
Due Date |
| 1/24-1/25 | |||
| Th |
Overview of course Lab #1 in Webster 102 |
Mathematica Help Sheet | |
| F |
1.1 Matrices and systems of linear equations 1.2 Gauss-Jordan elimination |
Set 1 (p11): 11c, 12d, 13c |
Wed 1/30 |
| 1/28-2/1 |
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| M | 1.3 Vector space Rn 1.4 Subspaces of Rn |
Set 3 (p30): 9ac, 10ac, 11ac Set 4 (p): 1a, 2d, 3abcd, 4, 8, 11abc |
Fri 2/1 |
| W |
1.5 Basis and dimension in Rn | Set 5 (p41): 2, 3ad, 6a-f, 8bc, 11ab, 16, 17, 19ac | Mon 2/4 |
| Th |
Lab #2 Curve fitting | ||
| F |
1.6 Dot product, angle, norm 1.7 Traffic flow |
Set 6 (p52): 4c, 8c, 11c, 13b, 17d, 21, 24, 34 Set 7 (p61): 16 |
Wed 2/6 |
| 2/4-2/8 |
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| M |
2.1 Matrix addition and multiplication |
Set 1 (p85): 5a-f, 8a-d, 15a, 18 Note: solutions are at end of chapter (p170) |
Fri 2/8 |
| W |
2.2 Properties of matrix operations | Set 2 (p96): 3, 12abc, 14ac, 15, 17, 23, 24ac, 26, 27, 33, 36, 40, 42 | Mon 2/11 |
| Th |
Lab #3 Concrete mixes | ||
| F |
2.3 Symmetric matrices |
Set 3 (p108): 1ef, 7, 9, 10, 11a-d, 14, 16ac, 20, 21, 23, 28a | Wed 2/13 |
| 2/11-2/15 |
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| M |
2.4 Matrix inverse | Set 4 (p120): 5a, 7a, 8a, 10, 12ac, 26, 27, 32, 33bdf | Mon 2/18 |
| W |
2.5 Matrix transformations | Set 5 (p133): 5bg, 8bd, 10a, 12ab, 14, 19, 20, 21 | Wed 2/20 |
| Th |
No class | Hill cipher worksheet and Mathematica file Optional reading: Lester Hill's 1929 article on his cipher |
|
| F |
No class | ||
| 2/18-2/22 | |||
| *Wed and Thurs schedule reversed this week | |||
| M |
2.6 Linear transformations | Set 6 (p143): 2, 4b, 12b, 13d, 16, 19, 21, 26, 34ab, 37 | Fri 2/22 |
| W |
Lab #4 Leontief model (section 2.7) and generation of fractals in Webster 102 | ||
| Th |
2.8 Markov chains in Mudd 206 | Set 8 (p156): 2, 6 | Wed 2/27 |
| F |
Review | ||
| 2/25-3/1 |
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| M |
Exam 1 | ||
| W |
3.1 Intro to determinants 3.2 Properties of determinants |
Set 1 (p188): 12, 15 Set 2 (p197): 6ac, 8a-f, 9a-f, 10ac, 19, 20, 22 Note: solutions are at end of chapter (p229) |
Wed 3/6 |
| Th |
Lab #5 Geometry and determinants | ||
| F |
3.3 Determinants and Linear Systems |
Set 3 (p205): 3ab, 5ac, 8ab, 13ab, 15, 23 | Fri 3/8 |
| 3/4-3/8 |
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| M | 3.4 Eigenvalues and eigenvectors | Set 4 (p213): 2, 9, 10, 24, 26, 28, 29, 34a | Mon 3/11 |
| W |
3.5 Google Page Rank General info on Google |
Google handout #5, 7, 8, 9 |
Wed 3/13 |
| Th |
Lab #6 Google | ||
| F |
Finish Google application | ||
| 3/11-3/15 |
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| M |
4.1 General vector spaces | Set 1 (p242): 8, 14, 26a-d, 27a-d, 30, 36 Note: solutions are at end of chapter (p318) |
Mon 3/25 |
| W |
4.2 Linear combinations and span | Set 2 (p250): 3a, 8a, 9a, 11ab, 17, 19abc | Wed 3/27 |
| Th |
Lab #7 Parking lots | ||
| F |
4.3 Linear independence | Set 3 (p256): 4b, 6a, 8a,9ac, 10, 15ab, 17a-e | Fri 3/29 |
| 3/16-3/24 |
Spring Recess | ||
| 3/25-3/29 | |||
| M |
4.4 Properties of bases | Set 4 (p263): 1a, 6a, 7, 11, 15e, 17de, 19a, 20a, 21d | Mon 4/1 |
| W |
4.5 Rank | Set 5 (p273): 2abc, 4ac, 8, 10b, 11abc, 16 | Fri 4/5 |
| Th |
Lab #8 GPS | ||
| F |
4.6 Projections | Set 6 (p284): 2ab, 3a, 6e, 9, 10, 13a, 16a | Mon 4/8 |
| 4/1-4/5 |
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| M |
Review | Proof-writing tips More proof-writing strategies |
|
| W |
Exam 2 | ||
| Th |
Lab #9 Gram-Schmidt | ||
| F |
4.7 Orthogonal complement | Set 7 (p292): 1a, 6, 12 | Fri 4/12 |
| 4/8-4/12 |
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| M |
4.8 Kernel, range, rank/nullity theorem | Set 8 (p302): 4, 7, 13, 14, 15ac, 16bc, 20, 23abc, 29, 32, 36, 39 | Mon 4/15 |
| W |
4.9 One-to-one transformations 4.10 Transformations and linear systems |
Set 9 (p308): 1abc, 2ac, 4ac, 6, 7 Set 10 (p315): 5, 12 |
Wed 4/17 |
| Th |
Lab #10 Pipes Pipes diagram |
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| F |
5.1 Coordinate vectors | Set 1 (p340): 2, 6, 10, 12, 13, 16, 21, 23, 25, 27, 28 |
Fri 4/19 |
| 4/15-4/19 |
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| M |
5.2 Matrix representations of linear transformations | Set 2 (p348): 6, 11, 13, 14, 16a, 20 | Mon 4/22 |
| W |
More on matrix reps | ||
| Th |
Lab #11 Portfolio analysis |
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| F |
5.3 Diagonalization | Set 3 (p361): 3ac, 5a, 7a, 9a, 11a-f, 13a, 16 | Fri 3/26 |
| 4/22-4/26 |
|||
| *Wed and Thurs schedule reversed this week | |||
| M |
6.1 Inner product spaces | Set 1 (p390): 1, 4, 6, 8a, 9a, 10, 16a, 17a, 18a, 21a, 26ad | Mon 4/29 |
| W |
Lab #12 Fibonacci sequence in Webster 102 | ||
| Th |
6.3 Approximation of functions in Mudd 206 | Set 3 (p404): 1, 6 | Fri 5/3 |
| F |
6.4 Least squares | Set 4 (p415): 1, 9, 36, 41ab | Mon 5/6 |
| 4/29-5/3 |
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| M |
Review | Sample proof and proof problems for practice | |
| W |
Exam 3 | ||
| Th |
Lab #13 Least squares |
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| F |
7.6 Singular value decomposition | Set 6 (p471): 13, 17, 21, 38 Note: solutions are on p475 |
Wed 5/8 |
| 5/6-5/8 |
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| M |
Finish SVD | ||
| W |
Math Dept final exam webpage (look for Math 21, 22, 271, 272 exams) | ||
| Final Exam: Sat May 18 9am-noon Merrill 2 |