Algorithms and the Integers (4/4), 3.7 Applications of Number Theory, Induction and Recur (1/4), 4.1 Mathematical Induction, 4.2 Strong Induction and Well-Ordering
| 週次 | 課程內容 | 課程影音 | 課程下載 |
|---|---|---|---|
| 第一週 | Logic and Proofs (1/5) 1.1 Proposition Logic 1.2 Proposition Equivalences 1.3 Predicates and Quantifiers 1.4 Nested Quantifiers | 線上觀看 | MP4下載 |
| 第一週 | Logic and Proofs (2/5) 1.1 Proposition Logic 1.2 Proposition Equivalences 1.3 Predicates and Quantifiers 1.4 Nested Quantifiers | 線上觀看 | MP4下載 |
| 第二週 | Logic and Proofs (3/5) 1.1 Proposition Logic 1.2 Proposition Equivalences 1.3 Predicates and Quantifiers 1.4 Nested Quantifiers | 線上觀看 | MP4下載 |
| 第二週 | Logic and Proofs (4/5) 1.5 Rules of Inference 1.6 Introduction to Proofs | 線上觀看 | MP4下載 |
| 第三週 | Logic and Proofs (5/5) 1.7 Proof Methods and Strategy Sets, Functions, Sequences, and Sums (1/3) Preliminary Test #1 2.1 Sets | 線上觀看 | MP4下載 |
| 第四週 | Sets, Functions, Sequences, and Sums (2/3) 2.2 Set Operations 2.3 Functions 2.4 Sequences and Summations | 線上觀看 | MP4下載 |
| 第四週 | Sets, Functions, Sequences, and Sums (3/3) 2.2 Set Operations 2.3 Functions 2.4 Sequences and Summations | 線上觀看 | MP4下載 |
| 第五週 | Algorithms and the Integers (1/4) 3.4 The Integers and Division 3.5 Primes and Greatest Common Divisors 3.6 Integers and Algorithms | 線上觀看 | MP4下載 |
| 第五週 | Algorithms and the Integers (2/4) 3.4 The Integers and Division 3.5 Primes and Greatest Common Divisors 3.6 Integers and Algorithms | 線上觀看 | MP4下載 |
| 第五週 | Algorithms and the Integers (3/4) 3.4 The Integers and Division 3.5 Primes and Greatest Common Divisors 3.6 Integers and Algorithms | 線上觀看 | MP4下載 |
| 第七週 | Algorithms and the Integers (4/4) 3.7 Applications of Number Theory Induction and Recur (1/4) 4.1 Mathematical Induction 4.2 Strong Induction and Well-Ordering | 線上觀看 | MP4下載 |
| 第七週 | Induction and Recur (2/4) 4.1 Mathematical Induction 4.2 Strong Induction and Well-Ordering | 線上觀看 | MP4下載 |
| 第八週 | Induction and Recur (3/4) 4.3 Recursive Definitions and Structural Induction 4.4 Recursive Algorithms | 線上觀看 | MP4下載 |
| 第八週 | Induction and Recur (4/4) 4.3 Recursive Definitions and Structural Induction 4.4 Recursive Algorithms Counting (1/2) 5.1 The Basics of Counting | 線上觀看 | MP4下載 |
| 第九週 | Counting (2/2) 5.2 The Pigeonhole Principle 5.3 Permutations and Combinations 5.4 Binomial Coefficients 5.5 Generalized Permutations and Combinations | 線上觀看 | MP4下載 |
| 第十一週 | Advanced Counting Techniques (1/4) 7.1 Recurrence Relations 7.2 Solving Linear Recurrence Relations | 線上觀看 | MP4下載 |
| 第十二週 | Advanced Counting Techniques (2/4) 7.4 Generating Functions Example 1-3 7.5 Inclusion-Exclusion 7.6 Applications of Inclusion-Exclusion 8.1 Relations and Their Properties 8.2 n-ary Relations and Their Applications | 線上觀看 | MP4下載 |
| 第十二週 | Advanced Counting Techniques (3/4) 7.4 Generating Functions Example 1-3 7.5 Inclusion-Exclusion 7.6 Applications of Inclusion-Exclusion 8.1 Relations and Their Properties 8.2 n-ary Relations and Their Applications | 線上觀看 | MP4下載 |
| 第十二週 | Advanced Counting Techniques (4/4) 7.4 Generating Functions Example 1-3 7.5 Inclusion-Exclusion 7.6 Applications of Inclusion-Exclusion Relations (1/4) 8.1 Relations and Their Properties 8.2 n-ary Relations and Their Applications | 線上觀看 | MP4下載 |
| 第十四週 | Relations (2/4) 8.3 Representing Relations 8.4 Closures of Relations 8.5 Equivalence Relations | 線上觀看 | MP4下載 |
| 第十四週 | Relations (3/4) 8.3 Representing Relations 8.4 Closures of Relations 8.5 Equivalence Relations | 線上觀看 | MP4下載 |
| 第十五週 | Relations (4/4) 8.6 Partial Orderings Graphs(1/3) 9.1 Graphs and Graph Models 9.2 Graph Terminology and Special Types of Graphs | 線上觀看 | MP4下載 |
| 第十六週 | Graphs (2/3) 9.3 Representing Graphs and Graph Isomorphism 9.4 Connectivity | 線上觀看 | MP4下載 |
| 第十七週 | Graphs (3/3) 9.5 Euler and Hamilton Paths 9.6 Shortest-Path Problems | 線上觀看 | MP4下載 |
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