|
8/26 (Wed) Class 1. Introduction. Systems of linear equations. (Sec.1.1) |
8/28 (Fri) Class 2. Elementary row operations. (Sec.1.1) |
|
|
8/31 (Mon) Class 3. Echelon Form and Gaussian-Jordan Elimination.(Sec.1.2). |
9/02 (Wed) Class 4. Consistent Systems of linear Equations. (Sec.1.3). |
9/04 (Fri) Class 5. Matrix Operations. (Sec.1.5). |
|
9/07 (Mon) NO CLASSES. Labor Day. |
9/09 (Wed) Class 6. Algebraic Properties of Matrix operations. (Sec.1.6). |
9/11 (Fri) Class 7. Linear Independence and Nonsingular Matrices. (Sec.1.7). |
|
9/14(Mon) Class 8. Matrix Inverses and Their Properties. (Sec.1.9) |
9/16 (Wed) Class 9. Review for midterm 1. |
9/18 (Fri) Class 10. Midterm #1. |
|
9/21 (Mon) Class 11. Vectors in Plane and in Space. (Sec.2.1,2.2) |
9/23 (Wed) Class 12. The Dot Product. (Sec.2.3) |
9/25 (Fri) Class 13. The Cross Product. (Sec.2.3) |
|
9/28 (Mon) Class 14. Introduction to Vector Spaces. (Sec.3.1) |
9/30 (Wed) Class 15. Vector Space Properties of Rn. (Sec.3.2) |
10/02 (Fri) Class 16. Examples of Subspaces. (Sec.3.3) |
|
10/05 (Mon) Class 17. Bases for Subspaces. (Sec.3.4) |
10/07 (Wed) Class 18. Dimension. (Sec.3.5) |
10/09 (Fri) Class 19. Vector Spaces. (Sec.5.2). |
|
10/12 (Mon) Class 20. Subspaces. (Sec.5.3) |
10/14 (Wed) Class 21. Linear Independence and Bases. (Sec.5.4) |
10/16 (Fri) NO CLASSES. Autumn Break. |
|
10/19 (Mon) Class 22. Coordinates. (Sec.5.4) |
10/21 (Wed) Class 23. Orthogonal Bases for Subspaces. (Sec.3.6) |
10/23 (Fri) Class 24. Inner-Product Spaces, Orthogonal Bases. (Sec.5.6) |
|
10/26 (Mon) Class 25. Linear Transformations from Rn to Rm. (Sec.3.7) |
10/283 (Wed) Class 26. Linear Transformations. (Sec.5.7) |
10/30 (Fri) Class 27. Operations with Linear Transformations. (Sec.5.8) |
|
11/02 (Mon) Class 28. Matrix Representations for Linear Transformations. (Sec.5.9) |
11/04 (Wed) Class 29. Review for midterm 2. |
11/06 (Fri) Class 30. Midterm #2. |
|
11/09 (Mon) Class 31. Introduction to Determinants. (Sec.6.1) |
11/11 (Wed) NO CLASSES. Veterans Day observed. |
11/13 (Fri) Class 32. Cofactor Expansions of Determinants. (Sec.6.2) |
|
11/16 (Mon) Class 33. Elementary operations and Determinants. (Sec.6.3) |
11/18 (Wed) Class 34. Cramer's Rule. (Sec.6.4) |
11/20 (Fri) Class 35. The Eigenvalue Problem for 2x2 Matrices. (Sec.4.1) |
|
11/23 (Mon) Class 36. Determinants and the Eigenvalue Problem. (Sec.4.2,4.3) |
11/25 (Wed) NO CLASSES. Thanksgiving. |
11/27 (Fri) NO CLASSES. Columbus Day observed. |
|
11/30 (Mon) Class 37. Eigenvalues and Characteristic Polynomial. (Sec.4.4) |
12/02 (We) Class 38. Eigenvectors and Eigenspaces. (Sec.4.5) |
12/04 (Fri) Class 39. Complex Eigenvalues and Eigenvectors. (Sec.4.6) |
|
12/07 (Mon) Class 40. Similarity Transformations and Diagonalization. (Sec.4.7) |
12/09 (Wed) Class 41. Review for the final. |
|
| 12/16 (Wed) FINAL, 2:00 - 3:45 PM |