Class Dates | Material | Homework | Handouts |
9/9 | Linear systems | p. 9: 1.18, 1.22a, 1.34 p. 73: 1, 3 Balance P4O10 + H20 -> H3PO4 |
Gauss--Jordan algorithm Demonstration 1 Demonstration 2 |
9/16 | Mathematica introduction Vectors in R^n |
p. 9: 1.18 (last time) - write solutions as linear combinations plus particular solution p. 33: 3.21, 3.24 |
Mathematica Intro .nb version |
9/23 | p. 35-42, p. 90-101 | p. 21: 2.22* p. 41: 1.4, 1.7* p. 97: 2.22*, 2.27abc *Draw graphs in Mathematica Read p. 77-81 |
Graphing Notebook |
9/30 | Vector Spaces, Span | p. 88: 1.28 p. 97: 2.23, 2.25*, 2.27ef, 2.29 *Answer question in Mathematica |
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10/7 | Linear Independence Basis p. 101-116 |
p. 100: 2.43 p. 109: 1.22*, 1.23*, 1.28a p. 117: 1.18, 1.21* *Answer question in Mathematica |
Symbolic Row Reduction function for Mathematica |
10/14 | Basis, Coordinates | p. 110: 1.24 p. 118: 1.20 Use Mathematica to show {1, x, x^2, ..., x^30} lin indep as functions |
The Table function |
10/21 | Linear maps | p. 186: 1.19, 1.22, 1.25 p. 198: 2.21, 2.23, 2.40abc (null space = kernel, and range space = image) No Mathematica required (you are still allowed to use it) |
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10/28 | No class | ||
11/4 | Rank-Nullity | p. 198: 2.22 (determine kernel and image), 2.25, 2.34 No Mathematica required |
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11/11 | Matrix representation of linear map |
p. 210: 1.16, 1.18, 1.27 p. 218: 2.12, 2.16 Mathematica: see email |
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11/18 | Matrix Inverse Change of basis |
p. 231: 2.19 p. 249: 4.15acd, 4.18, 4.29 p. 262: 2.12 No Mathematica required |
Some notes |
11/25 | No class (Thanksgiving) |
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12/2 | Matrix Powers Markov Chains |
p. 304: 2, 3 (both with Mathematica) | Mathematica notes, pdf FYI: Manipulate ListPlot |
12/9 | Review | Study for Final Exam Extra credit assignment |
Review sheet Partial solutions |
12/16 | Final Exam |