MAT 211, Fall 2025, L03
Introduction to Linear Algebra
Introduction to Linear Algebra
Lectures: MW 3:30pm-4:50pm, Frey Hall 205
Instructor: Karl Winsor (karl.winsor@stonybrook.edu)
Office Hours (Math Tower 4-101B): M 5:00pm-6:00pm, W 2:00pm-3:00pm
MLC Hours (Math Tower S235): W 1:00pm-2:00pm
Grader: Naqibul Talukder (Naqibul.Talukder@stonybrook.edu)
Office Hours (Zoom): T 11:00am:12:00pm
MLC Hours (Math Tower S235): W 12:00pm-2:00pm
Syllabus: Last Updated August 24, 2025
Textbook: Linear Algebra with Applications, 5th Edition, by Otto Bretscher
Extra Virtual Office Hours: Friday, November 14, 3-5pm (see Brightspace for Zoom link)
No office hours on Monday, November 17 (day of Midterm 2)
HW's are submitted as pdfs on Brightspace under "Assignments"
Resources for Midterm 2:
Resources for Midterm 1:
Tentative Schedule, Textbook Sections, Lecture Notes
M Aug 25 (Lec 1): Systems of Linear Equations (Section 1.1)
W Aug 27 (Lec 2): Matrices, RREF, Gauss-Jordan Elimination (Section 1.2)
HW 1 Due by M Sep 1, 11:59pm
M Sep 1: ***Labor Day***
W Sep 3 (Lec 3): RREF and Solutions, Matrix-Vector Algebra (Section 1.3)
HW 2 Due by M Sep 8, 11:59pm
M Sep 8 (Lec 4): Rank, Linear Transformations (Sections 1.3, 2.1)
W Sep 10 (Lec 5): Linear Transformations in Geometry (Section 2.2)
HW 3 Due by M Sep 15, 11:59pm
HW 4 Due by M Sep 22, 11:59pm
M Sep 22 (Lec 8): Linear Subspaces, Image, Kernel (Section 3.1, 3.2)
W Sep 24 (Lec 9): Bases, Linear Independence (Section 3.2)
HW 5 Due by M Sep 29, 11:59pm
M Sep 29 (Lec 10): Dimension, Rank-Nullity Theorem (Section 3.3)
W Oct 1: Review Session for Midterm 1
No HW, Study for Midterm 1
M Oct 6: ***Midterm 1 In-Class***
W Oct 8 (Lec 11): Coordinates (Section 3.4)
HW 6 Due by M Oct 13, 11:59pm
M Oct 13: ***Fall Break***
W Oct 15 (Lec 12): Orthogonal Projections and Orthonormal Bases (Section 5.1)
HW 7 Due by M Oct 20, 11:59pm
M Oct 20 (Lec 13): Gram-Schmidt Process, QR Factorization (Section 5.2)
W Oct 22 (Lec 14): Orthogonal Transformations and Matrices (Section 5.3)
HW 8 Due by M Oct 27, 11:59pm
M Oct 27 (Lec 15): Least Squares Method, Fitting Data (Section 5.4)
W Oct 29 (Lec 16): Introduction to Determinants (Section 6.1)
HW 9 Due by M Nov 3, 11:59pm
M Nov 3 (Lec 17): Properties of the Determinant (Section 6.2)
W Nov 5: (Lec 18) Geometric Interpretations and Methods for Computing Determinants (Section 6.3)
HW 10 Due by M Nov 10, 11:59pm
M Nov 10 (Lec 19): Diagonalization, Eigenvalues and Eigenvectors (Section 7.1, 7.2)
W Nov 12: Review Session for Midterm 2
No HW, Study for Midterm 2
M Nov 17: ***Midterm 2 In-Class***
W Nov 19: More on Eigenvalues and Eigenvectors (Section 7.2, 7.3)
HW 11 Due by M Nov 24, 11:59pm
M Nov 24: Dynamical Systems (Section 7.4, 7.5, 7.6)
W Nov 26: ***Thanksgiving Break***
HW 12 Due by M Dec 1, 11:59pm
M Dec 1: Linear Spaces (Section 4.1)
W Dec 3: Inner Product Spaces (Section 5.5)
HW 13 Due by M Dec 8, 11:59pm
M Dec 8: Review Session for Final Exam
Final Exam: Monday, December 15, 11:15am-1:45pm, Location TBD