The hybrid format of the course means that additional on-line help for your learning will be provided, including 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 on-line 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 highly specific dates given in the following constitute my suggestion for how to keep up with the pace of the course that is necessitated by the tight summer schedule of only six weeks.
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 |
| Mo 05/28 | 1.1 Systems of Linear Equations | On-line quiz 1.1 | |
| " | 1.2 Row Reduction and Echelon Form | On-line quiz 1.2 | |
| 1 | Tu 05/29 | In class: Sections 1.1, 1.2 | |
| We 05/30 | 1.3 Vector Equations | On-line quiz 1.3 | |
| " | 1.4 The Matrix Equation A x = b | On-line quiz 1.4 | |
| 2 | Th 05/31 | In class: Sections 1.3, 1.4, 1.5 | HW 1 due: Sec. 1.1, 1.2, and handout |
| Fr 06/01 | 1.5 Solution Sets of Linear Systems | On-line quiz 1.5 | |
| Sa 06/02 | 1.7 Linear Independence | On-line quiz 1.7 | |
| Su 06/03 | 1.8 Introduction to Linear Transformations | On-line quiz 1.8 | |
| " | 1.9 The Matrix of a Linear Transformation | No on-line quiz | |
| Mo 06/04 | 2.1 Matrix Operations | On-line quiz 2.1 | |
| 3 | Tu 06/05 | In class: Sections 1.7, 1.8, 1.9, 2.1 | HW 2 due: Sec. 1.3, 1.4, 1.5 |
| We 06/06 | 2.2 The Inverse of a Matrix | On-line quiz 2.2 | |
| " | 2.3 Characterizations of Invertible Matrices | On-line quiz 2.3 | |
| 4 | Th 06/07 | In class: Sections 2.1, 2.2, 2.3 | HW 3 due: Sec. 1.7, 1.8 |
| Fr 06/08 | |||
| Sa 06/09 | |||
| Su 06/10 | 2.8 Subspaces of Rn | On-line quiz 2.8 | |
| Mo 06/11 | 2.9 Dimension and Rank | On-line quiz 2.9 | |
| 5 | Tu 06/12 | In class: Sections 2.8, 2.9 | HW 4 due: Sec. 1.9, 2.1, 2.2, 2.3 |
| We 06/13 | |||
| 6 | Th 06/14 | In class: Sections 4.1, 4.2, 4.3 | HW 5 due: Sec. 2.8, 2.9 |
| Fr 06/15 | 4.1 Vector Spaces and Subspaces | On-line quiz 4.1 | |
| Sa 06/16 | 4.2 Null and Column Spaces | On-line quiz 4.2 | |
| Su 06/17 | 4.3 Linearly Independent Sets; Bases | On-line quiz 4.3 | |
| Mo 06/18 | Review for Test 1 | Discussion Board | |
| 7 | Tu 06/19 | In class: Test 1 (Chapters 1, 2, 4) | HW 6 due: Sec. 4.1, 4.2, 4.3 |
| We 06/20 | 3.1 Introduction to Determinants | On-line quiz 3.1 | |
| " | 3.2 Properties of Determinants | On-line quiz 3.2 | |
| 8 | Th 06/21 | In class: Sections 3.1, 3.2, 5.1, 5.2 | |
| Fr 06/22 | |||
| Sa 06/23 | 5.1 Eigenvectors and Eigenvalues | On-line quiz 5.1 | |
| Su 06/24 | 5.2 The Characteristic Equation | On-line quiz 5.2 | |
| Mo 06/25 | 5.3 Diagonalization | On-line quiz 5.3 | |
| 9 | Tu 06/26 | In class: Sections 5.1, 5.2, 5.3 | HW 7 due: Sec. 3.1, 3.2, 5.1, 5.2 |
| We 06/27 | |||
| 10 | Th 06/28 | In class: Sections 6.1, 6.2, 6.3 | HW 8 due: Sec. 5.3, 7.1 |
| Fr 06/29 | 6.1 Inner Product, Length, and Orthogonality | On-line quiz 6.1 | |
| Sa 06/30 | 6.2 Orthogonal Sets | On-line quiz 6.2 | |
| " | 6.3 Orthogonal Projections | On-line quiz 6.3 | |
| Su 07/01 | 6.4 The Gram-Schmidt Process | No on-line quiz | |
| Mo 07/02 | 7.1 Diagonalization of Symmetric Matrices | No on-line quiz | |
| 11 | Tu 07/03 | In class: Sections 6.4, 7.1 | HW 9 due: Sec. 6.1, 6.2, 6.3 |
| We 07/04 | Review for Test 2 | Discussion Board | |
| 12 | Th 07/05 | In class: Test 2 (Chapters 3, 5, 6) | HW 10 due: Sec. 6.4, 7.1, and e-mail |