| Oct. 29 |
1.1 |
5-10 |
introduction |
3Blue1Brown S1 E1 |
| Oct. 30 |
1.2-1.3 |
14-22 , 44-45 |
mathematical statements, negation, quantifiers, examples |
|
| Nov. 2 |
1.3-1.4 |
23-26, 45-48 |
if...then... |
|
| Nov. 3 |
1.5 |
31-37 |
subsets, proving sets are equal, operations on sets |
|
| Nov. 5 |
1.6-1.8, 2.1-2.2 |
37-44,48-56 |
functions, solving equations, intersection of lines, vectors |
Khan Academy Vector Introduction |
| Nov. 6 |
2.3 |
56-65 |
span |
3Blue1Brown S1 E2 first 6 minutes only |
| Nov. 9 |
2.3 |
65-68 |
more on span, geometry in R2 |
Khan Academy Linear Combinations and Span |
| Nov. 10 |
2.4 |
69-75 |
intro to linear transformations |
Khan Academy Visualizing Linear Transformations |
| Nov. 12 |
2.4 |
76-82 |
transformations on basis elements |
3Blue1Brown S1 E3 first 6.5 minutes only |
| Nov. 13 |
2.5 |
82-92 |
standard matrix, matrix-vector product, projections and rotations |
|
| Nov. 16 |
2.6-2.7 |
92-103 |
matrix algebra, range |
3Blue1Brown S1 E4 and Khan Academy Intro to matrix multiplication |
| Nov. 17 |
Exam 1 |
5-74 |
1.1-2.4 |
|
| Nov. 19 |
2.7-3.1 |
104-122 |
range and null space, inverses, invertible matrix, coordinate transformation |
see videos on Piazza |
| Nov. 20 |
3.3 |
132-138 |
eigenvalues and eigenvectors |
|
| Nov. 23 |
3.2 |
122-127 |
eigenspace, matrices with respect to other coordinates |
3Blue1Brown S1 E13 |
| Nov. 24 |
3.2, 3.3 |
128-131, 139-140,144-146 |
diagonal matrix |
|
| Asynch. |
4.2 |
169-176 |
solving linear systems |
worksheet and 3Blue1Brown S1 E7 first 7:50 and from 10:35 on |
| Nov. 30 |
3.3, 3.4, 4.1 |
140-144, 150-156, 157-161 |
diagonalization, determinants, and introduction to vector spaces |
|
| Dec. 1 |
4.1, 4.2 |
161-169,176 |
properties of v-spaces, subspaces, echelon form |
3Blue1Brown S1 E15 and first 9 minutes |
| Dec. 3 |
4.2, 4.3 |
177-187 |
reduced echelon form, spanning sequences |
Khan Academy Matrices for Solving Systems |
| Dec. 4 |
4.4, 4.5 |
188-193 |
linear independence |
3Blue1Brown S1 E2 6:00 and on |
| Dec. 7 |
4.4, 4.5 |
194-205 |
basis, forming bases |
|
| Dec. 8 |
Exam 2 |
76-185 |
2.4-4.2 |
|
| Dec. 10 |
4.6, 5.1 |
205-217 |
dimension, linear transformations |
3Blue1Brown S1 E5 and 3Blue1Brown S1 E8 and TheTrevTutor Dimension |
| Dec. 11 |
5.1,5.2 |
218-232 |
matrices, range, null space |
|
| Dec. 14 |
233-242 |
|
Rank-Nullity Theorem, column space |
Rank-Nullity Intuition and 3Blue1Brown S1 E7 |
| Dec. 15 |
5.2-5.3 |
243-253 |
inverses, determinants |
3Blue1Brown S1 E6 and Khan Academy Finding Inverses and Determinants |
| Dec. 17 |
5.4 |
253-261 |
inner product, orthonormal basis, decompositions |
|
| Dec 21 |
Final Exam |
|
|
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