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| Due date | Boldface means graded homework. |
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| 11+ December | Section 6.34: 34.11, 34.12 |
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| 11 December | Section 6.34: 34.8 |
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| 9 December | Section 6.34: 34.5, 34.6 |
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| 7 December | Section 6.34: 34.2, 34.3 |
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| 4 December |
For Section 6.34, let f be the function f(x) = x^2 * sin(1/x) for x not
equal 0, and f(0) = 0 (as in exercise 28.5).
Show that derivative f'(x) exists for all x.
Show also that f is not continuous at 0. Section 6.33: (Give a complete proof of Theorem 33.4.(ii)), 33.13 |
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| 2 December | Section 6.33: 33.2, 33.15 |
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| 30 November |
Section 6.33: Write the proof of Theorem 33.1 Section 6.32: 32.4, 32.8 |
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| 23 November | Section 6.32: 32.2 |
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| 20 November | Section 5.29: 29.3, 29.5 |
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| 18 November | Section 5.28: 28.4 |
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| 16 November | Section 5.29: 29.1ac, 29.2 |
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| 13 November |
Section 5.28: 28.3a, 28.8 |
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| 9 November |
Section 5.28: 28.2abd Section 5.28: Write the proof of Theorem 28.2 |
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| 6 November | Section 3.20: 20.17 |
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| 4 November | Section 3.20: 20.11, 20.18 |
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| 2 November | Section 3.19: 19.4a, 19.5 |
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| 30 October |
Section 3.19: 19.2 Section 3.19: Write the proof of Theorem 19.4 |
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| 28 October |
Section 3.19: 19.1 Section 3.18: 18.10 |
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| 26 October |
Section 3.18: 18.4 (hint: function f(x) = 1 / (x - x_0)), 18.6 Section 3.17: 17.6 |
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| 21 October |
Section 3.17: 17.5 Section 3.17: Write the proof of Theorem 17.2 |
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| 19 October |
Section 3.17: 17.2 Section 2.15: 15.6 |
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| 16 October | Section 2.15: 15.4, 15.8, formulate only |
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| 14 October | Section 2.15: 15.1, 15.3 |
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| 12 October | Section 2.14: 14.3, 14.8, 14.12 |
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| 9 October | Section 2.14: 14.1, 14.2 |
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| 5 October | Section 2.12: 12.2, 12.10 |
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| 2 October |
Section 2.12: 12.6 Section 2.11: 11.5 |
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| 30 September |
Section 2.12: 12.4 Section 2.11: 11.10, If the liminf of sequence s_n is real number s, show that there is a subsequence t_n with limit s (by adapting that proof in class) |
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| 28 September | Section 2.11: 11.4yz, 11.8 |
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| 25 September |
Section 2.11: 11.2 Section 2.10: 10.10 |
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| 23 September | Section 2.10: 10.4, 10.8 |
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| 21 September |
Section 2.10: 10.1 Section 2.9: 9.2b, 9.4b, 9.12a, proof of Theorem 9.4 |
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| 18 September |
Section 2.9: 9.1b Section 2.8: 8.1d, 8.2e, 8.5 |
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| 14 September | Section 2.7: 7.3aei, 7.5 |
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| 11 September |
Section 1.5: 5.1, 5.2 Section 1.4: 4.10 |
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| 9 September |
Section 1.4: 4.1abe, 4.3abe Section 1.3: 3.1, 3.2, 3.3 |
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| 4 September |
Section 1.2: 2.6, 2.7, 2.8 Section 1.1: 1.5, 1.12 |