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Section (topics) |
By (date) |
Read (chapter) |
Practice (just try!) |
Submit (as HW) |
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Part 1
Real Numbers and Limits |
9/28
9/30 9/30 |
1.1 Basic Set Theory
notes
1.2 Functions notes 1.3 Induction, Natural Numbers notes |
Prac 1.1 solutions Prac 1.2 solutions Prac 1.3 solutions |
HW 1 solutions |
10/5
10/7 |
1.4 Ordered Field Axioms
notes
1.5 Completeness, Real Numbers notes |
Prac 1.4 solutions Prac 1.5 solutions |
HW 2 solutions |
10/12
10/14 10/21 |
1.6 Applying Completeness
notes
2.1 Convergence notes 2.2 Limit Theorems notes |
Prac 1.6 solutions Prac 2.1 solutions Prac 2.2 solutions |
HW 3 solutions |
| Exam One | 10/19 |
Covers material through 1.6 (review) (rev sol) (exam sol) |
3:30pm | FMH 417 | |
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Part 2
Sequences and Continuity |
10/26
10/28 |
2.3 Monotone Sequences
notes
2.4 Bolzano-Weierstrass Theorem notes |
Prac 2.3 solutions Prac 2.4 solutions |
HW 4 Due Nov 2 |
11/2
11/4 |
3.1 Function Limits
notes
3.2 Limit Theorems notes |
Prac 3.1 solutions Prac 3.2 solutions |
HW 5 Due Nov 9 |
11/9
11/18 |
3.3 Continuity
notes
3.4 Continuous Functions notes |
Prac 3.3 solutions Prac 3.4 solutions |
HW 6 Due Nov 23 |
| Exam Two | 11/16 |
Covers material through 3.2 |
3:30pm | FMH 417 | |
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Part 3
Derivatives and the MVT |
11/23
11/25 |
3.5 Uniform Continuity
notes
4.1 Defining Derivatives notes |
Prac 3.5 solutions Prac 4.1 solutions |
HW 7 Due Nov 30 |
11/30
12/2 |
4.2 Mean Value Theorem
notes
4.3 Applying the MVT notes |
Prac 4.2 solutions Prac 4.3 solutions |
HW 8 Due Dec 9 |
| Exam Three | 12/9 |
Covers material through 4.3 |
3:40-5:30 | FMH 417 | |
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