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| Subject: | Mathematics |
| Views: | 23,689 |
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Math Major Basics: Prerequisites to Higher Mathematics
Course Description
Math Doctor Bob provides a brief course on logic, proofs, sets, and the integers. Intended as a prerequisite playlist for Abstract Algebra and Real Analysis courses.
Math Doctor Bob provides a clear explanation on the strategies behind writing mathematical proofs.
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Video Lectures & Study Materials
| # | Lecture | Play Lecture |
|---|---|---|
| 1 | Propositional Logic (12:29) | Play Video |
| 2 | Logical Equivalence (17:06) | Play Video |
| 3 | Formal Proofs (14:05) | Play Video |
| 4 | Methods of Proof (24:29) | Play Video |
| 5 | Example of Complete/Strong Induction (7:38) | Play Video |
| 6 | Example of Induction (Advanced): Balanced Strings (11:00) | Play Video |
| 7 | Naive Set Theory (22:08) | Play Video |
| 8 | Set Operations (21:52) | Play Video |
| 9 | Two Tough Set Equalities (10:35) | Play Video |
| 10 | Binary Relations (23:46) | Play Video |
| 11 | Mappings 1: Examples (19:49) | Play Video |
| 12 | Mappings 2: Basic Properties (24:01) | Play Video |
| 13 | Mappings 3: Composition and Inverse Mappings (22:41) | Play Video |
| 14 | Cardinality 1: Finite Sets (21:29) | Play Video |
| 15 | Cardinality 2: Infinite Sets (23:17) | Play Video |
| 16 | Divisibility Properties of the Integers (25:25) | Play Video |
| 17 | The Euclidean Algorithm for the Integers (9:03) | Play Video |
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*If any embedded videos constitute copyright infringement, we strictly recommend contacting the website hosts directly to have such videos taken down. In such an event, these videos will no longer be playable on CosmoLearning or other websites.
