MAT 211 (Applied Algebra) - Fall 2022

Time and Place : TuTh 4:45-6:05; Frey Hall 309

Instructor : Radu Laza

Office : Math Tower 4-120
Email : radu.laza@stonybrook.edu

Office Hours: Tue 2:30-4 (and by appointment)

Overview

Introduction to the theory of linear algebra with some applications; vectors, vector spaces, bases and dimension, applications to geometry, linear transformations and rank, eigenvalues and eigenvectors, determinants and inner products. May not be taken for credit in addition to AMS 210.

Prerequisite:

C or higher in AMS 151 or MAT 131 or 141 or coregistration in MAT 126 or level 7 on the mathematics placement examination

Textbook

Linear Algebra with Applications, Otto Bretscher (5th Edition).

Quick Links

HW9 (due Nov 22)

Sample Final

HW10 (due Dec 1)

Announcements

Welcome! This is the official source for homework assignments, schedule updates, and other announcements. Please check it frequently (once a week or so) for up-to-date info.
The HW assignments are collected in class on the due date. No late HW, no exception. There will be an extra make-up HW (HW10*) replacing the lowest scoring HW (or a missing HW).
The dates of the exams are fixed (see schedule below). The midterms will take place in class during the class time. The final exam is scheduled by the university (details on location to follow). There will be no make-up exam (except exceptional individual circumstances, with documentation); please plan accordingly.

Grading

2 Midterms (20% each), 1 Final (40%), 10 HW assignments (20% in total)
No late HWs, and no make-up exams.
A small number of extra points (for class participation, attendance, and quizzes) will be awarded during the regular classes and recitations.

Schedule

Week	Topic	Sections Covered	HW Assignments
(1) Aug 23, 25	Linear Equations	1.1-1.2
(2) Aug 30, Sept 1	Matrix Algebra Intro to linear transformations	1.3 2.1	HW1 (due Sept 6)
(3) Sept 6, 8	Linear Transformations	2.2, 2.3	HW2 (due Sept 13)
(4) Sept 13, 15	Inverse of a linear transformations Images and Kernels	2.4 3.1	HW3 (due Sept 20)
(5) Sept 20, 22	Subspaces, bases, dimension	3.2, 3.3, 3.4	HW4 (due Sept 29)
(6) Sept 27, 29	Review Midterm 1: Thursday, Sept 29 (in class)	Chapters 1, 2, 3
(7) Oct 4, 6	Matrix of a linear transformation Orthogonality	Ch. 4 (brief survey) 5.1	HW5 (due Oct 20)
(8) Oct 13	Gram-Schmidt	5.2
(9) Oct 18, 20	More on orthogonality	5.3, 5.4	HW6 (due Oct 27)
(10)Oct 25, 27	Determinants	Chapter 6
(11) Nov 1, 3	Determinants Review	6.3 Chapters 4-6	HW7(due Nov 8)
(12) Nov 8, 10	Midterm 2: Tuesday, Nov 8 (in class) Eigenvalues and eigenvectors	Chapters 4, 5, 6 7.1	HW8 (due Nov 15)
(13) Nov 15, 17	Eigenvalues and eigenvectors	7.2, 7.3	HW9 (due Nov 22)
(14) Nov 22	Eigenvalues and eigenvectors	7.4	HW10 (due Dec 1)
(14) Nov 29, Dec 1	Review	Chapters 1, 4, 5, 6
Dec 13 (8:30-11pm)	Final Exam	Chapters 1-7