AMS10
AMS10 Course Website
Instructor:
Professor Marcella M Gomez mgomez26@ucsc.edu
Office Hourse (OH): Tuesday 3:30-5pm in BE 359b
TA's:
James Iwamasa jiwamasa@ucsc.ed, OH: Friday 1-2pm in BE 358
Lia Gianfortone lgianfor@ucsc.edu, OH: Wed 3-4pm in BE 358
Long Lu lklu@ucsc.edu, OH: Thursday 1-2pm in BE 358
sections:
All Sections are held in Soc Sci 1 135
James: Mon 1-3pm, Wed 9-11am
Long: Fri 11-1pm, Wed 11-1pm
Lia: Mon 3-5pm, Fri 9-11am
* no section Fri Sept. 28th, Mon Oct. 1, Wed Oct. 3.
Webcast
user: ams-10-1
password: AMS10F18
References:
[1]: Linear Algebra and its applications, fourth edition. David C. Lay.
[2]: Schaum's Outlines: Linear Algebra
[3]: 3Blue1Brown
[4]: A First Course in Linear Algebra
Midterm: midterm-distribution .pdf
MIdterm B.pdf Midterm Version B Solutions and Analysis.pdf
MIdterm A.pdf Midterm Version A Solutions and Analysis.pdf
Final Exam Review Material:
| Topic | Assigned review before class | Class Notes | HW | |
| Thursday 9/27/18 |
-review syllabus -introduction to vectors and complex numbers |
3Blue1Brown Video: Vectors, what even are they? | Lecture1.pdf | |
| Tuesday 10/2/18 |
-complex numbers continued |
[4]: pgs 581-586 (review of last week's lecture on complex numbers) complex exponential (This is material that will be covered in Tuesday's 10/2 lecture. A first pass at the material will help you to follow lecture) |
Lecture2.pdf | |
| Thursday 10/4/18 |
-Wrap up complex numbers -Introduction to linear systems of equations. |
[4]: pgs 1-11 (nice introduction and motivation for linear algebra) Other readings: [1]: pgs 1-4 [2]:3.1-3.4 |
Lecture3.pdf |
(Due Friday 10/12 5pm) |
| Tuesday 10/9/18 |
Elementary row operations, Echelon form, Triangular form, Gaussian elimination |
[1]: 1.1-1.2, 1.4-1.5 [2]: 3.5-3.9 |
Lecture4.pdf | |
|
Thursday 10/11/18 |
Reduced row echelon form |
Lecture5.pdf |
(due 10/19 5pm) |
|
|
Tuesday 10/16/18 |
Vector spaces, subspaces, linear dependence/independence |
[3]: Linear combinations, span, and basis vectors [1]: 1.4-1.5, 2.8, 4.1-4.3 |
Lecture6.pdf | |
|
Thursday 10/18/18 |
row space, column space, bases, rank, dimension |
[1]:2.8-2.9, 4.5-4.6 [2]: Chapter 4
|
(due 10/29 5pm) |
|
|
Tuesday 10/23/18 |
bases, rank, and dimension continued Linear mappings,matrix-matrix product, rank-nullity theorem |
[1]: 2.1 [4]:Linear Transformations and Matrices |
Lecture8.pdf | |
|
Thursday 10/25/18 |
determinant and matrix inverse |
[3]: The determinant, Inverse matrices, column space and null space [1]: 2.2-2.3, chapter 3 |
Lecture9.pdf |
(due 11/2/18 5pm) |
|
Tuesday 10/30/18 |
Midterm Review | Lecture10 Midterm Review.pdf | ||
|
Thursday 11/1/18 |
In-class midterm | Midterm Review Guide.pdf | ||
|
Tuesday 11/4/18 |
Eigenvalues, eigenvectors and relationship to transformations |
[3]: Change of Basis Video, Eigenvalues and Eigenvectors Video [1]: 5.1-5.4 |
Lecture11.pdf | |
|
Thursday 11/8/18 |
Finish suggested review above |
Lecture12.pdf |
(due 11/16 5pm) |
|
|
Tuesday 11/13/18 |
Markovian Process and relation to eigenvalues/eigenvectors, Examples of diagonalizable/non-diagonalizable matrices , complex eigenvalues/eigenvectors |
complex eigenvalues [1]:5.5
|
Lecture13.pdf | |
|
Thursday 11/15/18 |
SVD: Singular Value Decomposition |
[1]: 7.4 |
Lecture14.pdf |
(due 11/30 5pm) (counts for 2HWs) |
|
Tuesday 11/20/18 |
Orhogonal complements, orthogonal sets, projections |
[1]: 6.1-6.3 |
Lecture15.pdf | |
|
Tuesday 11/27/18 |
Orhogonal decomposition, Least-squares |
[1]: 6.5-6.6 |
Lecture16.pdf | |
|
Thursday 11/29/18 |
Gram-Schmidt Process, Symmetric Matrices |
[1]: 6.4, 7.1 |
Lecture17.pdf |
(due 12/7 5pm) |
|
Tuesday 12/3/18 |
Applications of Linear Algebra | Presentation by postdoctoral researcher Mohammad Jafari | Lecture18.pdf | |
|
Thursday 12/6/18 |
Final Review Session | Review Session.pdf |
Matlab access