The hybrid format of the course means that additional on-line help for your learning will be provided, including guides to the reading for each section covered, worked examples with voice-over, on-line quizzes with immediate feedback, and a discussion board available for questions and help every day of the week. You must accept responsibility for using these tools effectively and consistently with the learning goals of the course. This includes in particular studying the scheduled sections of the textbook, reviewing worked examples posted in Blackboard, and taking taking the quizzes in Blackboard before coming to the face-to-face meetings in class. Your time spent on-line is accounted for by the shortened in-class time on the one hand and added availability of the help and of the instructor on-line.
Please, see the learning plan and for more information on the goals and study suggestions. See the homework page for the detailed list of problems for each section.
The chapter and section numbers refer to the text, David C. Lay, Linear Algebra and Its Applications, third edition, Addison-Wesley, 2003 (or update 2006).
Class | Date | Main Topic | Notes |
1 | Tu 05/30 | In class: Sections 1.1, 1.2 | |
We 05/31 | 1.1 Systems of Linear Equations | Quiz 1.1 | |
" | 1.2 Row Reduction and Echelon Form | Quiz 1.2 | |
" | 1.3 Vector Equations | Quiz 1.3 | |
" | 1.4 The Matrix Equation A x = b | Quiz 1.4 | |
2 | Th 06/01 | In class: Sections 1.3, 1.4, 1.5 | HW 0 due |
Fr 06/02 | Work on HW 1: Sec. 1.1, 1.2, 1.3, 1.4, 1.5 | ||
Sa 06/03 | 1.5 Solution Sets of Linear Systems | Quiz 1.5 | |
" | 1.7 Linear Independence | Quiz 1.7 | |
Su 06/04 | 1.8 Introduction to Linear Transformations | Quiz 1.8 | |
" | 1.9 The Matrix of a Linear Transformation | ||
Mo 06/05 | 2.1 Matrix Operations | Quiz 2.1 | |
3 | Tu 06/06 | In class: Sections 1.7, 1.8, 1.9, 2.1 | HW 1 due |
We 06/07 | 2.2 The Inverse of a Matrix | Quiz 2.2 | |
" | 2.3 Characterizations of Invertible Matrices | Quiz 2.3 | |
4 | Th 06/08 | In class: Sections 2.2, 2.3 | |
Fr 06/09 | Work on HW 2: Sec. 1.7, 1.8, 1.9, 2.1, 2.2, 2.3 | ||
Sa 06/10 | |||
Su 06/11 | 2.8 Subspaces of Rn | Quiz 2.8 | |
Mo 06/12 | 2.9 Dimension and Rank | Quiz 2.9 | |
5 | Tu 06/13 | In class: Sections 2.8, 2.9 | HW 2 due |
We 06/14 | 4.1 Vector Spaces and Subspaces | Quiz 4.1 | |
6 | Th 06/15 | In class: Sections 4.1, 4.2, 4.3 | |
Fr 06/16 | Work on HW 3: Sec. 2.8, 2.9, 4.1, 4.2, 4.3 | ||
Sa 06/17 | 4.2 Null and Column Spaces | Quiz 4.2 | |
Su 06/18 | 4.3 Linearly Independent Sets; Bases | Quiz 4.3 | |
Mo 06/19 | Review for Test 1 | On-line | |
7 | Tu 06/20 | In class: Test 1 (Chapters 1, 2, 4) | HW 3 due |
We 06/21 | 3.1 Introduction to Determinants | Quiz 3.1 | |
" | 3.2 Properties of Determinants | Quiz 3.2 | |
8 | Th 06/22 | In class: Sections 3.1, 3.2, 5.1, 5.2 | |
Fr 06/23 | Work on HW 4 and 5: Sec. 3.1, 3.2, 5.1, 5.2 | ||
Sa 06/24 | 5.1 Eigenvectors and Eigenvalues | Quiz 5.1 | |
Su 06/25 | 5.2 The Characteristic Equation | Quiz 5.2 | |
Mo 06/26 | 5.3 Diagonalization | Quiz 5.3 | |
9 | Tu 06/27 | In class: Sections 5.1, 5.2, 5.3 | HW 4 due |
We 06/28 | Work on HW 5: Sec. 5.1, 5.2, 5.3, 7.1 | ||
10 | Th 06/29 | In class: Sections 6.1, 6.2, 6.3, 6.4, 7.1 | HW 5 due |
Fr 06/30 | 6.1 Inner Product, Length, and Orthogonality | Quiz 6.1 | |
" | 6.2 Orthogonal Sets | Quiz 6.2 | |
Sa 07/01 | 6.3 Orthogonal Projections | Quiz 6.3 | |
" | 6.4 The Gram-Schmidt Process | ||
Su 07/02 | 7.1 Diagonalization of Symmetric Matrices | ||
Mo 07/03 | Work on HW 6: Sec. 6.1, 6.2, 6.3, 6.4, 7.1 | ||
Tu 07/04 | Independence Day (no class) | ||
We 07/05 | Review for Test 2 | On-line | |
11 | Th 07/06 | In class: Test 2 (Chapters 3, 5, 6, 7) | HW 6 due |