| Mon 27 Jan |
A |
Appendix: notation, sets, functions |
Read Chapter 1 |
Mon 10 Feb (Group) |
| Wed 29 Jan |
A |
Appendix: quantifiers, negations |
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1.3 |
Algebraic structure |
3 (note 1 is incorrect), 5, 7 |
Mon 10 Feb (Group) |
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1.4 |
Order structure |
3 |
Mon 10 Feb (Group) |
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1.5 |
Bounds |
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| Mon 3 Feb |
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No class |
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| Wed 5 Feb |
1.6 |
Sups and infs, completeness |
1, 17, 20 |
Mon 10 Feb (Group) |
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1.7 |
The Archimedean property |
1 |
Thu 20 Feb (Individual) |
| Mon 10 Feb |
1.9 |
Rationals are dense |
1, 5 |
Thu 20 Feb (Individual) |
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1.10 |
Metric structure of the reals |
3, 5, 7 |
Thu 20 Feb (Individual) |
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Read 2.1, 2.2, 2.4 |
Thu 20 Feb (Individual) |
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2.1 |
Introduction |
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| Wed 12 Feb |
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No class |
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| Mon 17 Feb |
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No class |
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| Wed 19 Feb |
2.2 |
Sequences |
6 |
Wed 26th Feb (Group) |
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2.3 |
Countable sets |
10 |
Wed 26th Feb (Group) |
| Thu 20 Feb |
2.4 |
Convergence |
2, 3, 5, 8, 10, 12, 16 |
Wed 26th Feb (Group) |
| Mon 24 Feb |
2.5 |
Divergence |
HW A, 3, 7, 8 |
Mon 10th March (Individual) |
| Wed 26 Feb |
2.6 |
Boundedness and limits |
1, 2, 5 |
Mon 10th March (Individual) |
| Mon 3 Mar |
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Review |
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| Wed 5 Mar |
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Midterm 1 |
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| Mon 10 Mar |
2.7 |
Algebra of limits |
1, 4, 5, 7 |
Wed 19th March (Group) |
| Wed 12 Mar |
2.8 |
Order properties of limits |
2, 5, 9 |
Wed 19th March (Group) |
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6, 7, 8 (only do proofs for one) |
Wed 19th March (Group) |
| Mon 17 Mar |
2.9 |
Monotone convergence |
1 a-d (typo in a), 4 |
Wed 26th March (Individual) |
| Wed 19 Mar |
A.8/1.8 |
Induction |
3, 6 |
Wed 26th March (Individual) |
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2.10 |
Examples of sequences |
Read this section, 1 |
Wed 26th March (Individual) |
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2.11 |
Subsequences |
3, 6, 7, 12 |
Wed 26th March (Individual) |
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15, 17 |
Mon 7th April (Group) |
| Mon 24 Mar |
2.13 |
Upper and lower limits |
2, 9, 13, 15 |
Mon 7th April (Group) |
| Wed 26 Mar |
2.12 |
Cauchy sequences |
3, 4, 6 |
Mon 7th April (Group) |
| Mon 31 Mar |
4.2 |
Points |
1, 4, 5, 10, 13, 20, 24 |
Wed 23rd April (Individual) |
| Wed 2 Apr |
4.3 |
Sets |
3, 4, 5, 8, 9, 16, 17 |
Wed 23rd April (Individual) |
| Mon 7 Apr |
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Review |
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| Wed 9 Apr |
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Midterm 2 |
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| Mon 14 Apr |
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Spring break |
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| Wed 16 Apr |
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Spring break |
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| Mon 21 Apr |
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Spring break |
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| Wed 23 Apr |
4.4 |
Elementary Topology |
3, 4, 8 |
Wed 30th April (Group) |
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4.5.1 |
Bolzano-Weierstrauss |
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| Mon 28 Apr |
5.1 |
Introduction to limits |
1, 3, 10 (without using sequences) |
Wed 30th April (Group) |
| Wed 30 Apr |
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13, 16, 17 |
Wed 7th May (Group) |
| Mon 5 May |
5.2 |
Properties of limits |
1, 5 (unique and bounded), 11, |
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12, 15 (algebra) |
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5.4 |
Continuity |
7, 9, 11 |
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| Wed 7 May |
5.5 |
Properties of continuous functions |
1, 2, 3, 4 |
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5.6 |
Uniform continuity |
8, 9, 12 |
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| Mon 12 May |
5.7 |
Extremal properties |
3, Read 7.1-7.3 |
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7.2 |
The derivative |
3d, 4, 9, 12, 15 |
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| Wed 14 May |
7.3 |
Computing the derivative |
3, 5, 14, 16 |
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Review 37, 38, 43, 45 |
Wed 14th May (Group) |
| Mon 19 May |
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Final |
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