İlgili konular
Bu kursta neler var
- 24 sa 42 dk video
- 20 ders
- Seviye: Orta
- Dil: English
- Nerede kaldığını hatırlıyoruz
- Tamamen ücretsiz, kartsız
Dersler
2 bölüm · 20 ders · 24 sa 42 dk toplam süre
1–10. dersler10 ders · 12 sa 21 dk
- Lecture 1: Pigeonhole Principle1 sa 14 dk
- Lecture 2: Independence and Conditioning1 sa 11 dk
- Lecture 3: Inclusion-Exclusion1 sa 19 dk
- Lecture 4: Counting1 sa 18 dk
- Lecture 5: More Counting and Generating Functions1 sa 12 dk
- Lecture 6: More on Generating Functions1 sa 20 dk
- Lecture 7: Generating Functions for Catalan Numbers1 sa 12 dk
- Lecture 8: Tail Bounds1 sa 21 dk
- Lecture 9: Chernoff Bounds55 dk
- Lecture 10: Modular Arithmetic1 sa 19 dk
11–20. dersler10 ders · 12 sa 21 dk
- Lecture 11: Basic Group Theory1 sa 15 dk
- Lecture 12: Introduction to Linear Programming1 sa 14 dk
- Lecture 13: Duality in Linear Programming1 sa 16 dk
- Lecture 14: Zero-Sum Games1 sa 14 dk
- Lecture 15: Max-Flow Min-Cut Theorem1 sa 18 dk
- Lecture 16: Data Compression and Shannon’s Noiseless Coding Theorem1 sa 9 dk
- Lecture 17: Huffman Coding1 sa 18 dk
- Lecture 18: Transmitting Information Reliably over a Noisy Channel & Shannon’s Noisy Coding Theorem1 sa 12 dk
- Lecture 19: Error-Correcting Codes—Hamming Codes1 sa 19 dk
- Lecture 20: Reed-Solomon Codes1 sa 6 dk
Ne gerekiyor
- Temel bilgi işe yarar: kurs temellerin ötesinden devam ediyor.
Açıklama
Instructors: Prof. Ankur Moitra, Prof. Peter Shor, Susan Ruff View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0 This course will teach you illustrative topics in discrete applied mathematics, including counting, generating functions, probability, linear optimization, algebraic structures, basic number theory, information theory, and coding theory. It is a CI-M (Communication Intensive in the Major) course and thus includes a writing component. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Bu kurs kimin için
- Bilim temellerini bilenler.
Bu iki madde kursun seviyesinden çıkardığımız sonuç. Açıklama yazarın kendisine ait.