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| 9/3, 9/5 |
Introduction and Administrivia. Statements, truths, and conditionals. Truth tables. | Read Note to the Student, Chapter 1, sections 2.1 and 2.2. | 2.1: 2, 3, 4, 8, 10, 11 (due 9/12) Since some people have no book yet, here are the problems in PDF or html format. Solutions are available as PDF or html. |
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| 9/10, 9/12 | The language of mathematics. Quantifiers. Propositional Logic. | Read sections 2.3 and chapter 3. | 2.2: 2, 6.
2.3: 1, 2, 5. part 5c has a typo; skip that part
3.2: 3, 6. (due 9/19) Solutions are available as PDF or html. |
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| 9/19 | No class 9/17 (follows Monday schedule) More on quantifiers, begin formal proofs |
Read 4.1 and 4.2 | 3.3: 3, 5.
3.4: 5.
4.2: 2, 10, 11, 13, 15, 16.
(due 9/26) Solutions are available as PDF or html. |
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| 9/24, 9/26 | more on proofs, rules of inference, axiom systems | 4.3, 4.4, appendix I |
4.3: 5, 11, 14, 17
4.4: 2, 5, 7, 10, 18, 26, 29
(due 10/3) Solutions are available as PDF or html. | ||||
| 10/1, 10/3 | Mathematical Induction; Sets. | 4.5, 4.6, chapter 5 |
4.5: 3, 8, 9, 14, 19
5.1: 14, 16
5.2: 2, 6
5.3: 2, 3
(due 10/10) Solutions are available as PDF or html. |
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| 10/8, 10/10 | Relations, equivalence relations. | chapter 6 |
6.2: 2, 4, 12a, 13.
6.3: 2, 10.
7.1: 7, 8, 9.
7.2: 2, 7.
7.3: 14.
(due tuesday 10/29)
Solutions are available as PDF or html. |
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| 10/15, 10/17 | First exam on 10/15 order relations and functions. |
7.1, 7.2, 7.3 | |||||
| 10/22, 10/24 | Recursive functions and inductive definitions; cardinality; counting and the binomial theorem. | 7.4, 7.5, 7.6, |
7.4: 3, 5, 11a, 11b.
7.5: 3, 9a, 9c, 18.
7.6: 3, 5.
Geometry Notes: Exercises
2.2, 2.3, 2.4
(due 11/7)
Solutions are available as PDF or html. |
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| 10/29, 10/31 | Introduction to Euclidean geometry; the axioms and postulates of Euclid's geometry, a modern version. Triangles and laws of congruence. | Geometry Notes: sec. 1 (PDF) and sec. 2.1-2.8 (PDF). | |||||
| 11/5, 11/7 | Inequalities for triangles; Congruence laws. | Geometry Notes: sec. 2.9-2.13 (PDF), | Geometry Notes: Exercises
2.9-2.13,
2.14-2.17
(due 11/14) Solutions are available as PDF or html. |
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| 11/12, 11/14 | The parallel axiom. The sum of the angles of a triangle. | Geometry notes: sec. 3 (PDF). | Geometry Notes: Exercises
3.3, 3.4,
4.2,
4.5.
(due tuesday 11/25) Solutions are available as PDF or html. |
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| 11/19, 11/21 | Second Exam on 11/19 Rectangles and area, The Pythagorean theorem, Similar triangles. |
Geometry notes: sec. 4.1-4.2 (PDF). | |||||
| 11/25 | Go over exam, finish similar triangles. No class 11/28 (Thanksgiving) |
Geometry notes: sec. 4.2 (PDF). | Geometry Notes: Exercises
4.6,
4.7, 4.10,
5.1,
5.3,
5.6, 5.7.
(due thursday 12/13) Solutions are available as PDF or html. |
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| 12/3, 12/5 | trigonometry; circles and lines, circumscribed circles; inscribed circles | Geometry notes: sec. 4.3, 4.4 (PDF), and sec. 5 (PDF). | |||||
| 12/10, 12/13 | more geometry, Review | Geometry notes section 6 (PDF) | |||||
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