All ISU undergraduate students are invited to participate in the Problem of the Week Contest.
| MONTH WEEK | DAY | Topic, Event | Section; Practice Problems | Assigned Problems Due in 1 Week |
|---|---|---|---|---|
| August | ||||
| Chapter 1: Linear Equations in Linear Algebra | ||||
| WEEK 1 | 24 - 28 August | |||
| Tue 25 | Course Introduction; Systems of Linear Equations | §1.1 #7,19,21,25,27,31 | §1.1 #20 | |
| Thu 27 | Row Reduction and Echelon Forms | §1.2 #3,7,9,11,13,23,25,27 | §1.2 #12 | |
| WEEK 2 | 31 August - 4 September | |||
| September | ||||
| Tue 1 | Vector Equations | §1.3 #5,9,11-13,14,17-22,25 | §1.3 #26 | |
| Thu 3 | The Matrix Equation Ax = b | §1.4 #1-15,17-20,27,28,33 | §1.4 #34 | |
| WEEK 3 | 7 - 11 September | |||
| Tue 8 | Solution Sets of Linear Systems Linear Independence | §1.5 #1-5,7-14,29-34 §1.7 #9-20,23-25,27-30 | §1.5 #16 §1.7 #26 | |
| Thu 10 | Introduction to Linear Transformations The Matrix of a Linear Transformation | §1.8 #17-20,25 §1.9 #25,27,28,31-33 | §1.8 #31 §1.9 #30 | |
| WEEK 4 | 14 - 18 September | |||
| Chapter 2: Matrix Algebra | ||||
| Tue 15 | Matrix Operations | §2.1 #13,17-21,23-26 | §2.1 #22 | |
| Thu 17 | The Inverse of a Matrix | §2.2 #11-15,17-19,21-24,35 | §2.2 #16 | |
| WEEK 5 | 21 - 25 September | |||
| Tue 22 | Characterizations of Invertible Matrices | §2.3 #15-21,23,24 | §2.3 #22 (Due Thursday, 1 Oct) | |
| Thu 24 | Partitioned Matrices Matrix Factorizations | §2.4 #3-6,11,12 §2.5 #1,3,5,7,11
Supplementary Exercises | §2.4 #10 §2.5 #12 (Due Tuesday, 6 Oct) | |
| WEEK 6 | 28 September - 2 October | |||
| Tue 29 | First Midterm Exam Covers Chapters 1 & 2. Objectives for the Exam. The textbook's Student Resources web site has review sheets and practice exams. Sample solutions. | |||
| October | ||||
| Chapter 3: Determinants | ||||
| Thu 1 | Introduction to Determinants Properties of Determinants | §3.1 #33-36 §3.2 #15-20,23,25,31-36 | §3.1 #14 §3.2 #12 | |
| WEEK 7 | 5 - 9 October | |||
| Tue 6 | Cramer's Rule, Volume and Linear Transformations | §3.3 #4,6,13,14,21-25 | §3.3 #30,32 | |
| Chapter 4: Vector Spaces | ||||
| Thu 8 | Vector Spaces, Subspaces | § 4.1 #1-18,23,24,37 | § 4.1 #22 | |
| WEEK 8 | 12 - 16 October | |||
| Tue 13 | Null Space, Column Space, Linear Transformations Linearly Independent Sets; Bases | § 4.2 #3-6,17-26 § 4.3 #2-5,9-16,21-25,38 | § 4.2 #24 § 4.3 #32 | |
| Thu 15 | Linearly Independent Sets; Bases (concluded) Coordinate Systems | § 4.4 #3,6,7,10,12,13,15,16,25 | § 4.4 #14 | |
| WEEK 9 | 19 - 23 October | |||
| Tue 20 | Dimension Rank | § 4.5 #4,10,11,14-16,19-20,29-30,34 § 4.6 #1,4,7,10,13,16-18 | Due Thursday 29 Oct § 4.5 #12 § 4.6 #24 | |
| Thu 22 | Rank (concluded) Change of Basis Review of Chapters 3 & 4 | § 4.7 #2,5,8,10-12,17-18
Chapter 3 Supplementary | Due Tuesday, 3 Nov § 4.7 #6 | |
| WEEK 10 | 26 - 30 October | |||
| Tue 27 | Second Midterm Exam Thru Chapter 4 Statement of Objectives Sample solutions from 2007: [PostScript] [Acrobat] | |||
| Chapter 5: Eigenvalues and Eigenvectors | ||||
| Thu 29 | Eigenvectors and Eigenvalues The Characteristic Equation | §5.1 #25,26,33,34 §5.2 #1,5,9,13,17,22 | §5.1 #20 §5.2 #18 | |
| November | ||||
| WEEK 11 | 2 - 6 November | |||
| Tue 3 | The Characteristic Equation (concluded), Diagonalization | §5.3 #1,3,5,7,11,15,19,21,27,29 | §5.3 #30 | |
| Thu 5 | Eigenvectors and Linear Transformations | §5.4 #3,5,9,11,15,19-21 | §5.4 #22 due Nov 12
In-class work:
Deliver papers to | |
| WEEK 12 | 9 - 13 November | |||
| Tue 10 | Complex Eigenvalues Discrete Dynamical Systems | §5.5 #3,7,11,15,19,23-25 §5.6 #3,5,9,13 | §5.5 #26 §5.6 #6 | |
| Thu 12 | Applications to Differential Equations | §5.7 #3,5,7,9,13 | §5.7 #12 | |
| WEEK 13 | 16 - 20 November | |||
| Chapter 6: Orthogonality and Least Squares | ||||
| Tue 17 | Inner Product, Orthogonality Orthogonal Sets | §6.1 #1,2,5,6,12,13,15-19,27-31 §6.2 #3-5,7-15 odd, 19-22,24,27,29,33 | §6.1 #24 §6.2 #26 | |
| Thu 19 | Orthogonal Projections | §6.3 #2,4-6,8-10,12,13,15,17,19,22 | §6.3 #20 | |
| THANKSGIVING RECESS 23 - 27 November | ||||
 Fri 27 BUY NOTHING DAY
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| WEEK 14 | 30 November - 4 December | |||
| December | ||||
| Tue 1 | Orthogonalization by Gram-Schmidt Least-Squares Problems | §6.4 #1,5,9,11,13,15,18,19 §6.5 #2-5,9,12,13,15,18,19,21,25 | §6.4 #22 §6.5 #16 | |
| Thu 3 | Linear Models | §6.6 #3,5,10,15-18 | §6.6 #14 | |
| WEEK 15 | 7 - 11 December | |||
| Tue 8 | REVIEW Chapter 5 | Supplementary Exercises 1-23 | ||
| Thu 10 | REVIEW Chapter 6 | Supplementary Exercises 1-11,13,14 | ||
| FINAL EXAM WEEK | 14 - 18 December | |||
| Fri 18 | FINAL EXAM 9:45 - 11:45 AM, 150 Carver Objectives for Final Exam. | |||
