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 |
|---|---|---|---|---|
| August | ||||
| Chapter 1: Linear Equations in Linear Algebra | ||||
| WEEK 1 | 21-25 August | |||
| Mon 21 | Course Introduction; Systems of Linear Equations | §1.1 #7,19,21,25,27,31 | §1.1 #22 | |
| Wed 23 | Row Reduction and Echelon Forms | §1.2 #3,7,9,11,13,23,25,27 | §1.2 #20 | |
| Fri 25 | Row Reduction, continued | |||
| WEEK 2 | 28 August - 1 September | |||
| Mon 28 | Vector Equations | §1.3 #11-13,14,17-22,25 | §1.3 #26 | |
| Wed 30 | The Matrix Equation Ax = b | §1.4 #1-15,17-20,27,28,33 | §1.4 #34 | |
| September | ||||
| Fri 1 | Ax=b continued | |||
| WEEK 3 | 4-8 September | |||
| Mon 4 |
LABOR DAY HOLIDAY No class meeting | |||
| Wed 6 | Solution Sets of Linear Systems | §1.5 #1-5,7-14,29-34 | §1.5 #6,16 | |
| Fri 8 | Linear Independence Assigned Problems Due Thru §1.4 | §1.7 #9-20,23-25,27-30 | §1.7 #26 | |
| WEEK 4 | 11-15 September | |||
| Mon 11 | 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 | |
| Chapter 2: Matrix Algebra | ||||
| Wed 13 | Matrix Operations | §2.1 #13,17-21,23-25 | §2.1 #22,26 | |
| Fri 15 | In-class Work Day Assignment | |||
| WEEK 5 | 18-22 September | |||
| Mon 18 | The Inverse of a Matrix | §2.2 #11-19,21-24,35 | §2.2 #20 | |
| Wed 20 | Characterizations of Invertible Matrices | §2.3 #15-21,23,24 | §2.3 #22 | |
| Fri 22 | Partitioned Matrices | §2.4 #3-6,11,12 | §2.4 #10 | |
| WEEK 6 | 25 - 29 September | |||
| Mon 25 | Matrix Factorizations Assigned Problems Due §§1.5,1.7-9,2.1-3 | §2.5 #1,3,5,7,11 | §2.5 #6,12 | |
| Wed 27 | REVIEW of Chapters 1-2 | Supplementary Exercises Chapter 1 (pp. 102-104): #1,6,7,9,13,15-23 Chapter 2 (pp. 183-184): #1-3,7-9,12-17 | ||
| Fri 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: [PostScript] [Acrobat] | |||
| October | ||||
| Chapter 3: Determinants | ||||
| WEEK 7 | 2 - 6 October | |||
| Mon 2 | Introduction to Determinants | §3.1 #33-36 | §3.1 #14 | |
| Wed 4 | Properties of Determinants | §3.2 #15-20,23,25,31-36 | §3.2 #12 | |
| Fri 6 | Cramer's Rule, Volume and Linear Transformations | §3.3 #4,6,13,14,21-25 | §3.3 #30,32 | |
| Chapter 4: Vector Spaces | ||||
| WEEK 8 | 9 - 13 October | |||
| Mon 9 | Vector Spaces, Subspaces | § 4.1 #1-18,23,24,37 | § 4.1 #22 | |
| Wed 11 | Null Space, Column Space, Linear Transformations Assigned Problems Due §§2.4-5, 3.1-3. | § 4.2 #3-6,17-26 | § 4.2 #24 | |
| Fri 13 | Linearly Independent Sets; Bases | § 4.3 #2-5,9-16,21-25,38 | § 4.3 #32 | |
| WEEK 9 | 16 - 20 October | |||
| Mon 16 | Coordinate Systems | § 4.4 #3,6,7,10,12,13,15,16,25 | § 4.4 #14 | |
| Wed 18 | Dimension | § 4.5 #4,10,11,14-16,19-20,29-30,34 | § 4.5 #12 | |
| Fri 20 | Rank | § 4.6 #1,4,7,10,13,16-18 | § 4.6 #24 | |
| WEEK 10 | 23 - 27 October | |||
| Mon 23 | Change of Basis Assigned Problems Due from §§4.1-5 | § 4.7 #2,5,8,10-12,17-18 | § 4.7 #6 | |
| Wed 25 | Review of Chapters 3 & 4 | Chapter 3 Supplementary Exercises 1-13 Chapter 4 Supplementary Exercises 1-17 | ||
| Fri 27 | Second Midterm Exam Thru Chapter 4 Statement of Objectives Sample solutions: [PostScript] [Acrobat] | |||
| WEEK 11 | 30 October - 3 November | |||
| Chapter 5: Eigenvalues and Eigenvectors | ||||
| Mon 30 | Eigenvectors and Eigenvalues | §5.1 #25,26,33,34 | §5.1 #20 | |
| November | ||||
| Wed 1 | The Characteristic Equation | §5.2 #1,5,9,13,17,22 | §5.2 #18 | |
| Fri 3 | Diagonalization Eigenvectors and Linear Transformations | §5.3 #1,3,5,7,11,15,19,21,27,29 §5.4 #3,5,9,11,15,19-21 | §5.3 #30 §5.4 #22 | |
| WEEK 12 | 6 - 10 November | |||
| Mon 6 | Complex Eigenvalues | §5.5 #3,7,11,15,19,23-25 | §5.5 #26 | |
| Wed 8 | Discrete Dynamical Systems | §5.6 #3,5,9,13 | §5.6 #6 | |
| Fri 10 | Applications to Differential Equations | §5.7 #3,5,7,9,13 | §5.7 #12 | |
| WEEK 13 | 13 - 17 November | |||
| Chapter 6: Orthogonality and Least Squares | ||||
| Mon 13 | Inner Product, Orthogonality | §6.1 #1,2,5,6,12,13,15-19,27-31 | §6.1 #24 | |
| Wed 15 | Orthogonal Sets | §6.2 #3-5,7-15 odd, 19-22,24,27,29,33 | §6.2 #26 | |
| Fri 17 | Orthogonal Projections Homework from §§4.6-7 and Chapter 5 Due See Assignment Guidelines for directions. | §6.3 #2,4-6,8-10,12,13,15,17,19,22 | §6.3 #20 | |
| THANKSGIVING RECESS 20 - 24 November | ||||
 Fri 25 BUY NOTHING DAY
| ||||
| WEEK 14 | 27 November - 1 December | |||
| Mon 27 | Orthogonalization by Gram-Schmidt | §6.4 #1,5,9,11,13,15,18,19 | §6.4 #22 | |
| Wed 29 | Least-Squares Problems | §6.5 #2-5,9,12,13,15,18,19,21,25 | §6.5 #16 | |
| December | ||||
| Fri 1 | Linear Models | §6.6 #3,5,10,15-18 | §6.6 #14 | |
| WEEK 15 | 4 - 8 December | |||
| Mon 4 | REVIEW Chapter 5 | Supplementary Exercises 1-23 | ||
| Wed 6 | REVIEW Chapter 6 Homework from Chapter 6 Due See Assignment Guidelines for directions. | Supplementary Exercises 1-11,13,14 | ||
| Fri 8 | REVIEW Chapter 6 | Supplementary Exercises 1-11,13,14 | ||
| FINAL EXAM WEEK | 11 - 15 December | |||
| Thu 14 | FINAL EXAM 12:00 Noon - 2:00 PM, 282 Carver Objectives for Final Exam. | |||
