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8/27 (Wed) Class 1. Introduction. Systems of linear equations. (Sec.1.1) |
8/29 (Fri) Class 2. Elementary row operations. (Sec.1.1) |
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9/01 (Mon) NO CLASSES. Labor Day. |
9/03 (Wed) Class 3. Echelon Form and Gaussian-Jordan Elimination.(Sec.1.2). |
9/05 (Fri) Class 4. Consistent Systems of linear Equations. (Sec.1.3). |
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9/08 (Mon) Class 5. Matrix Operations. (Sec.1.5). |
9/10 (Wed) Class 6. Algebraic Properties of Matrix operations. (Sec.1.6). |
9/12 (Fri) Class 7. Linear Independence and Nonsingular Matrices. (Sec.1.7). |
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9/15(Mon) Class 8. Matrix Inverses and Their Properties. (Sec.1.9) |
9/17 (Wed) Class 9. Introduction to Vector Spaces. (Sec.3.1) |
9/19 (Fri) Class 10. Vector Space Properties of Rn. (Sec.3.2) |
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9/22 (Mon) Class 11. Examples of Subspaces. (Sec.3.3) |
9/24 (Wed) Class 12. Review for midterm 1. |
9/26 (Fri) Class 13. Midterm #1. |
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9/29 (Mon) Class 14. Bases for Subspaces. (Sec.3.4) |
10/01 (Wed) Class 15. Dimension. (Sec.3.5) |
10/03 (Fri) Class 16. The Eigenvalue Problem for 2x2 Matrices. (Sec.4.1) |
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10/06 (Mon) Class 17. Determinants and the Eigenvalue Problem. (Sec.4.2,4.3) |
10/08 (Wed) Class 18. Eigenvalues and Characteristic Polynomial. (Sec.4.4) |
10/10 (Fri) Class 19. Eigenvectors and Eigenspaces. (Sec.4.5) |
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10/13 (Mon) Class 20. Complex Eigenvalues and Eigenvectors. (Sec.4.6) |
10/15 (We) Class 21. Similarity Transformations and Diagonalization. (Sec.4.7) |
10/17 (Fri) NO CLASSES. Autumn Break. |
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10/20 (Mon) Class 22. First order Differential Equations. (Sec. 1.2) |
10/22 (Wed) Class 23. Second order Differential Equations. (Sec.3.1,3.3) |
10/24 (Fri) Class 24. Second order Differential Equations. (Sec.3.1,3.3) |
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10/27 (Mon) Class 25. Systems of First-Order Linear Equations. (Sec.7.4) |
10/29 (Wed) Class 26. Homogeneous Linear Systems with Constant Coefficients. (Sec.7.5) |
10/31 (Fri) Class 27. Complex-Valued Eigenvalues. (Sec.7.6) |
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11/03 (Mon) Class 28. Fundamental Matrices. (Sec.7.7) |
11/05 (Wed) Class 29. Review for midterm 2. |
11/07 (Fri) Class 30. Midterm #2. |
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11/10 (Mon) Class 31. Repeated Eigenvalues. (Sec.7.8) |
11/12 (Wed) Class 32. The Two-Point Boundary Value Problem. (Sec.10.1) |
11/14 (Fri) Class 33. Fourier Series. (Sec. 10.2) |
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11/17 (Mon) Class 34. Fourier Series. (Sec. 10.2) |
11/19 (Wed) Class 35. Fourier Convergence Theorem. (Sec. 10.3, 10.4) |
11/21 (Fri) Class 36. Separation of Variables; Heat Conduction in a Rod. (Sec. 10.5) |
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11/24 (Mon) Class 37. Other boundary conditions. (Sec. 10.6) |
11/26 (Wed) NO CLASSES. Thanksgiving. |
11/28 (Fri) NO CLASSES. Columbus Day observed. |
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12/01 (Mon) Class 38. Vibrations of an Elastic String. (Sec. 10.7) |
12/03 (We) Class 39. Vibrations of an Elastic String. (Sec. 10.7) |
12/05 (Fri) Class 40. Laplace's Equation. (Sec. 10.8) |
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12/08 (Mon) Class 41. Laplace's Equation. (Sec. 10.8) |
12/10 (Wed) Class 42. Review for the final. |
| 12/16 (Tue) FINAL, 10:00 - 11:45 AM |