Math 221 - Introduction to Linear Algebra

Spring 2023 - Matthias K. Gobbert

Detailed Schedule - Last Updated 04/17/2023

The chapter and section numbers refer to David C. Lay, Steven R. Lay, Judi J. McDonald, Linear Algebra and Its Applications, 6th edition, Pearson, 2021.
This course is taught in a flipped classroom format. This means that you need to study the material before class! Recorded lectures and the textbook are provided for this.
In each class meeting, we will address questions on the material and then work actively in teams on homework problems. Then, at the end of each class meeting will be an individual quiz. The detailed schedule specifies the exact section for each meeting.
The two-digits numbers in homeworks HW x.y and individual quizzes IQ x.y indicate the section number, that is, Chapter x, Section x.y of both. The abbreviation BQ refers to an individual quiz in Blackboard. The abbreviation GQ refers to a group quiz in class. HW 0 is a required homework to be submitted in Blackboard.

Class	Date	Main Topic	Notes
1	Tu 01/31	GQ0a intro., Overview and Mechanics of the Course	BQ0a, BQ0b, Pre-ass., HW0 gen.
2	Th 02/02	1.1 Systems of Linear Equations	HW 1.1, IQ 1.1
3	Tu 02/07	1.2 Row Reduction and Echelon Form	HW 1.2, IQ 1.2
4	Th 02/09	1.3 Vector Equations	HW 1.3, IQ 1.3
5	Tu 02/14	1.4 The Matrix Equation A x = b	HW 1.4, IQ 1.4
6	Th 02/16	1.5 Solution Sets of Linear Systems	HW 1.5, IQ 1.5
7	Tu 02/21	1.7 Linear Independence	HW 1.7, IQ 1.7
8	Th 02/23	1.8 Introduction to Linear Transformations	HW 1.8, IQ 1.8
9	Tu 02/28	1.9 The Matrix of a Linear Transformation	HW 1.9, IQ 1.9
10	Th 03/02	2.1 Matrix Operations	HW 2.1, IQ 2.1
11	Tu 03/07	2.2 The Inverse of a Matrix	HW 2.2, IQ 2.2
12	Th 03/09	2.3 Characterizations of Invertible Matrices	HW 2.3, IQ 2.3
13	Tu 03/14	Test 1 (Chapters 1 and 2)
14	Th 03/16	4.1 Vector Spaces and Subspaces	HW 4.1, IQ 4.1
	Tu 03/21	Spring Break
	Th 03/23	Spring Break
15	Tu 03/28	2.8 Subspaces of Rⁿ	HW 2.8, IQ 2.8
16	Th 03/30	2.9 Dimension and Rank	HW 2.9, IQ 2.9
17	Tu 04/04	3.1 Introduction to Determinants	HW 3.1, IQ 3.1
18	Th 04/06	3.2 Properties of Determinants	HW 3.2, IQ 3.2
19	Tu 04/11	5.1 Eigenvectors and Eigenvalues	HW 5.1, IQ 5.1
20	Th 04/13	5.2 The Characteristic Equation	HW 5.2, IQ 5.2
21	Tu 04/18	5.3 Diagonalization
22	Th 04/20	5.3 Diagonalization	HW 5.3, IQ 5.3
23	Tu 04/25	Test 2 (Chapters 3, 4, and 5)
24	Th 04/27	Class meeting canceled for Presidential Inauguration
25	Tu 05/02	6.1 Inner Product, Length, and Orthogonality	HW 6.1, IQ 6.1
26	Th 05/04	6.2 Orthogonal Sets	HW 6.2, IQ 6.2
27	Tu 05/09	6.3 Orthogonal Projections	HW 6.3, IQ 6.3
28	Th 05/11	6.4 The Gram-Schmidt Process	HW 6.4, IQ 6.4
29	Tu 05/16	7.1 Diagonalization of Symmetric Matrices; Review	HW 7.1, IQ 7.1, IQ0b, Post-ass.
	Tu 05/23	01:00-03:00 Final Exam (Chapters 1 through 6)	Note the date and time!