Lecture Notes
- Section(s): 1.1
- Topics: Overview of course logistics
| Week | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|
| 1 |
March 30 | March 31 | April 1 | April 2
Discussion
|
April 3 |
| 2 |
April 6 | April 7 | April 8 | April 9
Discussion
|
April 10 |
| 3 |
April 13 | April 14 | April 15 | April 16
Discussion
|
April 17 |
| 4 |
April 20 | April 21 | April 22 | April 23
Discussion
|
April 24 |
| 5 |
April 27 | April 28 | April 29 | April 30
Discussion
|
May 1 |
| 6 |
May 4
Midterm
|
May 5 | May 6 | May 7
Discussion
|
May 8 |
| 7 |
May 11 | May 12 | May 13 | May 14
Discussion
|
May 15 |
| 8 |
May 18 | May 19 | May 20 | May 21
Discussion
|
May 22 |
| 9 |
May 25
Memorial day
(no lecture) |
May 26 | May 27 | May 28
Discussion
|
May 29 |
| 10 |
June 1 | June 2 | June 3 | June 4
Discussion
|
June 5 |
| 11 |
June 8 | June 9 | June 10 | June 11
Final Exam
|
June 12 |
Content plan
Lectures
Lecture Notes
- Section: 1.1
- Topics: Basic linear algebra terminology, linear systems and solution sets, coefficient and augmented matrices
Lecture Notes
- Section(s): 1.1, 1.2
- Topics: Solving systems of linear equations (Gaussian elimination and Row reduction), Echelon Forms
Lecture Notes
- Section(s): 1.2
- Topics: Row Reduction Algorithm, Solution sets revisited
Other Interesting Content
Lecture Notes
- Section(s): 1.3
- Topics: Vectors, linear combinations and spanning sets
Other Interesting Content
Lecture Notes
- Section(s): 1.3
- Topics: Linear combinations of vectors and spanning sets, the geometry of spanning sets, writing solutions in vector parametric form
Lecture Notes
- Section(s): 1.4
- Topics: The matrix equation Ax = b, matrix and vector products, Theorem 3
Lecture Notes
- Section(s): 1.4, 1.5
- Topics: Spanning sets, Theorem 4, Solution sets, motivating linear independence
Lecture Notes
- Section(s): 1.7, 1.8
- Topics: Linear Independence, Transformations
Lecture Notes
- Section(s): 1.8, 1.9
- Topics: Linear transformations
Lecture Notes
- Section(s): 1.8, 1.9
- Topics: Properties of linear transformations
Lecture Video
Lecture Notes
- Section(s): 2.1
- Topics: Matrix algebra
Lecture Video
Lecture Notes
- Section(s): 2.2
- Topics: Matrix operations, matrix inverses
Lecture Video
Lecture Notes
- Section(s): 2.2, 2.3
- Topics: Matrix inverses, Inverse linear transformations
Lecture Video
Lecture Notes
- Section(s): 4.1
- Topics: Abstract vector spaces, Examples
Lecture Video
Lecture Notes
- Section(s): 4.1, 4.2
- Topics: Subspaces of a vector space, Null spaces and Column spaces, Abstract linear transformations
Lecture Video
Lecture Notes
- Section(s): 4.2, 4.3
- Topics: Linear independence, spanning sets, bases (of abstact vector spaces)
Lecture Video
Lecture Notes
- Section(s): 4.3, 4.5, 4.6
- Topics: Finding bases in common cases, Dimension, Rank
Lecture Video
Lecture Notes
- Section(s): 4.6, 4.4
- Topics: Row space of a matrix, Coordinate systems, The coordinate mapping
Lecture Video
Lecture Notes
- Section(s): 4.4, 4.7
- Topics: Coordinate systems and change of basis
Lecture Video
(re-recorded)
Lecture Notes
- Section(s): 3.1, 3.2, 3.3
- Topics: Determinants
Other useful content:
Original Lecture #20 notes Original Lecture #21 notes
Lecture Video
Lecture Notes
- Section(s): 5.1, 5.2
- Topics: Eigenvalues and eigenvectors, the characteristic polynomial
Lecture Video
Lecture Notes
- Section(s): 5.2, 5.3
- Topics: Finding eigenvalues and eigenvectors of a matrix, Diagonalization
Lecture Video
Lecture Notes
- Section(s): 5.3, 6.1
- Topics: Diagonalization, Inner products, Length and distance
Lecture Video
Lecture Notes
- Section(s): 6.1, 6.2
- Topics: Orthogonality, Orthogonal sets, Orthogonal bases
Lecture Video
Lecture Notes
- Section(s): 6.2, 6.3
- Topics: Orthogonal projections, Orthogonal decomposition theorem
Lecture Video
Lecture Notes
- Section(s): 6.3, 6.5
- Topics: Orthogonal projections and decomposition for orthonormal sets, least squares problems