Lecture | MWF 9:00am – 10:00am (MCS B33) | |
Instructor | Dr. Martina Chirilus-Bruckner | |
martina.ma.242@gmail.com | ||
Office | MCS 238 | |
Phone | (617) 353 - 1491 ! email preferred ! | |
Discussion (C2) | W 2:00pm – 3:00pm (MCS B33) | |
Office hours | Special times during Final Exam week: Tuesday and Thursday 10-11am and 4-5pm |
General course information: here
Announcements:
* Solutions to even HW problems are posted.
* FINAL EXAM: Friday, May 10, 12:30pm – 2:30pm (usual class room, MCS B33).
WEEK | READING SUGGESTIONS ("Linear Algebra" David Lay, 4th edition) | Homework | DUE |
01: Jan 16/18 | 1.1: Systems of Linear Equations, 1.2 Row Reduction and Echelon Form | EX 1 | - |
02: Jan 23/25 | 1.2: Row Reduction and Echelon Form , 1.3 Vector Equations | HW 1 | January 30 |
03: Jan 28/30, Feb 01 | 1.4-5: The Matrix Equation, Solution Set of Linear Systems | HW 2 | February 06 |
04: Feb 04/06 | 1.5-7: Solution Set of Linear Systems, Applications, Linear Independence | HW 3 | February 13 |
05: Feb 11/13/15 | 1.8-9, 2.1: Linear Transformation and its matrix, Matrix Operations *APPLICATION: matrix multiplication and image processing |
HW 4 | February 20 |
06: Feb 20/22 | 2.2-3: Inverse of a matrix and characterization of invertible matrices *HANDOUTS: Matrix Algebra, Invertible Matrices , Invertible Matrix Theorem |
HW 5 | February 27 |
07: Feb 25/27, March 01 | 2.3, 3.1, 3.3: Invertible linear transformations, Sarrus' rule, Cramer's rule *APPLICATIONS: Crytography, Fractals, Chemistry, Networks, *MATLAB CODE: fern.m, tree2.m |
HW 6 | March 20 |
------ March 04 ------ | MIDTERM (in class) | ||
08: March 06/08 | 2.5, 3.1, 4.1 LU-decomposition, Determinants (Cofactor expansion), Vector Spaces, *HANDOUT: LU-decomposition | EX 3 | |
---- March 09-17 ---- | Spring Break | ||
09: March 18/20/22 | 3.2, 4.1, 4.2, 4.3: Determinants, Vector spaces, Null spaces, Linearly independent sets and Bases *HANDOUTS: Determinant (definition) , Determinant (properties) , 4-by-4 matrix example |
HW 7 | March 27 |
10: March 25/27/29 | 4.4, 4.5, 4.7, 5.1: Coordinate Systems, Dimension, Change of Basis, Eigenvectors and Eigenvalues *HANDOUT: Eigenvalues and eigenvectors *APPLICATION: Face recognition (Eigenfaces) |
HW 8 | April 03 |
11: April 01/03/05 | 5.2, 5.3, 7.1, 5.4: Characteristic Equation, Diagonalization, Eigenvectors and Linear Transformations *HANDOUT: Top 10 Algorithms in Science and Engineering *APPLICATION: Image Compression |
HW 9 | April 10 |
12: April 08/10/12 | 5.3, 5.4, 7.1, 5.8: Diagonalization, Eigenvectors and Linear Transformations, Iterative estimates of eigenvalues *HANDOUT: diag. (2 x 2 example) , diag. (3 x 3 example), *APPLICATION: Difference Equations |
HW 10 | April 18 |
13: April 17/18 | 6.1, 6.2: Inner Products, Length and Orthogonality, Orthogonal Sets *HANDOUT: Inner Product *APPLICATIONS (diagonalization): PageRank (full), PageRank (handout) |
HW 11 | April 24 |
14: April 22/24/26 | 6.3, 6.4 : Orthogonal Projections, Gram-Schmidt Process *HANDOUT: Gram-Schmidt * APPLICATIONS: Least-Squares, Fourier Series |
HW 12 | May 02 |
------ April 29, May 01 ------ | REVIEW | ||
---------- May 06-10 ---------- | FINAL EXAM: Friday, May 10, 12:30pm – 2:30pm (usual class room, MCS B33). |