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| DAY | TOPIC | READING (Do before class) |
Assign. Out | Assign. In |
| M1 | Intros, Syllabus, Intro to Proof | HW
A Start HW #1 |
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| W1 | Proof Methods | 1.1 - 1.9 (It's a lot, but try to do as much as you can) |
HW #1 | HWA |
| F1 | Well-Ordering Principle | 2.1-2.4 | ||
| M2 | Logic and Propositions | 3.1-3.5 | HW1 | |
| W2 | Propositions and
Equivalences In-class exercises |
3.3 | Start on HW 2 (Chapter 2, Section 3.1) |
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| F2 | Quantifiers and Predicates | 3.6 | HW 2 | |
| M3 |
(More with) Proofs with Propositions and Predicates
In-class exercises |
3.4 | ||
| W3 | Work on
problems/Review for exam See Moodle for a practice exam |
4.1 |
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| F3 | EXAM 1 (During class time) | |||
| M4 | Sets | 4.1 | HW 3 | |
| W4 | Sequences, Functions | Sections 4.2, 4.3 | ||
| F4 | Binary Relations, Equivalence Relations | Section 4.4, and additional readings from Rosen, found on Moodle | HW #4 | HW 3 |
| M5 | Induction | Sections 5.1, 5.2 |
Work on Problems 5.3 and 5.5 from the text to go over in class on Wednesday | |
| W5 | Strong Induction | Sections 5.2, 5.3, | ||
| F5 | No Class - Midquarter Break | HW 4 | ||
| M6 | Recurrence Relations | Reading on Moodle
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HW #5 | |
| W6 | Divisibility, GCDs, Prime Factorization | 9.1-9.4 (skim over 9.3) | ||
| F6 | Modular Arithmetic | 9.5 - 9.7 | Begin to work on Project 1: Relations
and Databases. See Moodle for reading and full
details. |
HW 5 |
| M7 | Modular arithmetic, Inverses | 9.6-9.9 (9.8 optional, but interesting) | Problems to try as part of
review: 9.4, 9.5, 9.9, 9.10, 9.12, 9.24 See Moodle for practice exam 2 |
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| W7 | Review for Exam | |||
| F7 | EXAM 2 (During class time) | |||
| M8 | Euler's Theorem, RSA | 9.10, 9.11 | PP #1 | |
| W8 | SEE MONDAY 8 | 10.1-10.2, 10.5, 12.1-12.3 | Project 2: RSA | |
| F8 | Intro to Graph
Theory, Isomorphisms,
Bipartite Graphs, Coloring and
Connectivity
Graph Theory Definitions |
10.1-10.2, 10.5, 12.1-12.10 | HW #6 | |
| M9 | Walks,
Paths, Cycles, Coloring,
Connectivity In-class exercises Additional In-class exercises |
Finish reading sections in Chapter 12 | ||
| W9 | Counting, Subsets, Repetition, Binomial Theorem | 15.1-15.6 | HW 6 | |
| F9 | Poker, Pigeonhole, Inclusion-Exclusion | 15.7-15.10 | ||
| M10 | Probability In-Class Exercises |
17.1-17.5 | ||
| W10 | Conditional Probability | 18.1-18.3 | ||
| F10 | Course Wrap-up and review | |||
| M11 | Final Exam: MWF 1:20, Monday, 11/19, 6:30pm - 9:00 pm | All workdue |