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| - | ===== Descrete Structure ===== | + | ===== Descrete Structures ===== |
| === Content of the course === | === Content of the course === | ||
| + | \\ | ||
| + | * **Precision**. Write and think clear and precise statements | ||
| + | * **Formal reasoning**. Inference, proof techniques | ||
| + | * **Intuitive set theory**. Sets and operations on them, comparing sets, surprising facts about infinite sets | ||
| + | * **Methods for analyzing growth of functions** | ||
| + | * **Elementary and recursive algorithms** | ||
| + | * **Elementary number theory**. Congruences and what can be done with them | ||
| + | * **Induction techniques** | ||
| + | * **Counting**. Combinatorics, methods for counting | ||
| + | * **Discrete probability theory** | ||
| + | * **Generating functions** | ||
| + | * **Graph theory** | ||
| + | \\ | ||
| + | \\ | ||
| + | ===Courses and Exercises=== | ||
| - | Precision | + | Courses on Tuesdays from 8:15 to 10:00 and on Fridays from 8:15 to 10:00 |
| - | Write and think clear and precise statements | + | Exercise sessions on Fridays from 10:15 to 12:00 |
| - | Formal reasoning | ||
| - | Inference, proof techniques | + | ===Book=== |
| - | Intuitive set theory | + | We will follow the book “Discrete Mathematics and its Applications” by Kenneth Rosen |
| + | 7th Edition | ||
| + | Global Edition | ||
| + | Book can be purchased at La Fontaine. | ||
| + | Read the book in paralell of the Class | ||
| + | \\ | ||
| + | \\ | ||
| + | **Presentations**: | ||
| + | \\ | ||
| + | {{ :en:courses:2015-2016:proof_l06_02102015.pdf |}} | ||
| - | Sets and operations on them, comparing sets, surprising facts about infinite sets | + | {{ :en:courses:2015-2016:analog-vs-digital-computation.pdf |}} |
| - | Methods for analyzing growth of functions | + | {{ :en:courses:2015-2016:l18counting.pdf |}} |
| - | Elementary and recursive algorithms | + | {{ :en:courses:2015-2016:l21expectation_variance.pdf |}} |
| - | Elementary number theory | + | {{ :en:courses:2015-2016:l23graphs.pdf |}} |
| - | Congruences and what can be done with them | + | {{ :en:courses:2015-2016:l25trees.pdf |}} |
| - | Induction techniques | ||
| - | |||
| - | Counting | ||
| - | |||
| - | Combinatorics, methods for counting | ||
| - | Discrete probability theory | ||
| - | |||
| - | Generating functions | ||
| - | |||
| - | Graph theory | ||