About this Course
최근 조회 91,122

다음 전문 분야의 5개 강좌 중 1번째 강좌:

100% 온라인

지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.

유동적 마감일

일정에 따라 마감일을 재설정합니다.

초급 단계

완료하는 데 약 25시간 필요

권장: 6 weeks, 2–5 hours/week...

영어

자막: 영어, 아랍어

귀하가 습득할 기술

Mathematical InductionProof TheoryDiscrete MathematicsMathematical Logic
Course을(를) 수강하는 학습자
  • Chemists
  • Security Engineers
  • Software Engineers
  • Machine Learning Engineers
  • Data Scientists

다음 전문 분야의 5개 강좌 중 1번째 강좌:

100% 온라인

지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.

유동적 마감일

일정에 따라 마감일을 재설정합니다.

초급 단계

완료하는 데 약 25시간 필요

권장: 6 weeks, 2–5 hours/week...

영어

자막: 영어, 아랍어

강의 계획 - 이 강좌에서 배울 내용

1
완료하는 데 3시간 필요

Making Convincing Arguments

10개 동영상 (총 43분), 4 readings, 4 quizzes
10개의 동영상
Proofs?3m
Proof by Example1m
Impossibility Proof2m
Impossibility Proof, II and Conclusion3m
One Example is Enough3m
Splitting an Octagon1m
Making Fun in Real Life: Tensegrities10m
Know Your Rights5m
Nobody Can Win All The Time: Nonexisting Examples8m
4개의 읽기 자료
Slides10m
Python10m
Slides1m
Acknowledgements1m
1개 연습문제
Tiles, dominos, black and white, even and odd6m
2
완료하는 데 5시간 필요

How to Find an Example?

16개 동영상 (총 90분), 6 readings, 12 quizzes
16개의 동영상
Narrowing the Search6m
Multiplicative Magic Squares5m
More Puzzles9m
Integer Linear Combinations5m
Paths In a Graph4m
N Queens: Brute Force Search (Optional)10m
N Queens: Backtracking: Example (Optional)7m
N Queens: Backtracking: Code (Optional)7m
16 Diagonals (Optional)3m
Warm-up5m
Subset without x and 100-x4m
Rooks on a Chessboard2m
Knights on a Chessboard5m
Bishops on a Chessboard2m
Subset without x and 2x6m
6개의 읽기 자료
Slides1m
N Queens: Brute Force Solution Code (Optional)10m
N Queens: Backtracking Solution Code (Optional)10m
16 Diagonals: Code (Optional)10m
Slides (Optional)1m
Slides1m
3개 연습문제
Is there...20m
Number of Solutions for the 8 Queens Puzzle (Optional)20m
Maximum Number of Two-digit Integers2m
3
완료하는 데 6시간 필요

Recursion and Induction

13개 동영상 (총 111분), 3 readings, 8 quizzes
13개의 동영상
Coin Problem4m
Hanoi Towers7m
Introduction, Lines and Triangles Problem10m
Lines and Triangles: Proof by Induction5m
Connecting Points12m
Odd Points: Proof by Induction5m
Sums of Numbers8m
Bernoulli's Inequality8m
Coins Problem9m
Cutting a Triangle8m
Flawed Induction Proofs9m
Alternating Sum9m
3개의 읽기 자료
Two Cells of Opposite Colors: Hints10m
Slides1m
Slides10m
5개 연습문제
Largest Amount that Cannot Be Paid with 5- and 7-Coins10m
Pay Any Large Amount with 5- and 7-Coins20m
Number of Moves to Solve the Hanoi Towers Puzzle30m
Two Cells of Opposite Colors: Feedback
Induction18m
4
완료하는 데 3시간 필요

Logic

10개 동영상 (총 53분), 2 readings, 9 quizzes
10개의 동영상
Counterexamples4m
Basic Logic Constructs10m
If-Then Generalization, Quantification8m
Reductio ad Absurdum4m
Balls in Boxes4m
Numbers in Tables5m
Pigeonhole Principle2m
An (-1,0,1) Antimagic Square2m
Handshakes3m
2개의 읽기 자료
Slides10m
Slides1m
4개 연습문제
Examples, Counterexamples and Logic14m
Numbers in Boxes5m
How to Pick Socks5m
Pigeonhole Principle10m
4.5
120개의 리뷰Chevron Right

44%

이 강좌를 수료한 후 새로운 경력 시작하기

40%

이 강좌를 통해 확실한 경력상 이점 얻기

Mathematical Thinking in Computer Science의 최상위 리뷰

대학: ADMar 26th 2019

The teachers are informative and good. They explain the topic in a way that we can easily understand. The slides provide all the information that is needed. The external tools are fun and informative.

대학: JVOct 16th 2017

I really liked this course, it's a good introduction to mathematical thinking, with plenty of examples and exercises, I also liked the use of other external graphical tools as exercises.

강사

Avatar

Alexander S. Kulikov

Visiting Professor
Department of Computer Science and Engineering
Avatar

Michael Levin

Lecturer
Computer Science
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Vladimir Podolskii

Associate Professor
Computer Science Department

캘리포니아 샌디에고 대학교 정보

UC San Diego is an academic powerhouse and economic engine, recognized as one of the top 10 public universities by U.S. News and World Report. Innovation is central to who we are and what we do. Here, students learn that knowledge isn't just acquired in the classroom—life is their laboratory....

국립 연구 고등 경제 대학 정보

National Research University - Higher School of Economics (HSE) is one of the top research universities in Russia. Established in 1992 to promote new research and teaching in economics and related disciplines, it now offers programs at all levels of university education across an extraordinary range of fields of study including business, sociology, cultural studies, philosophy, political science, international relations, law, Asian studies, media and communicamathematics, engineering, and more. Learn more on www.hse.ru...

Introduction to Discrete Mathematics for Computer Science 전문 분야 정보

Discrete Math is needed to see mathematical structures in the object you work with, and understand their properties. This ability is important for software engineers, data scientists, security and financial analysts (it is not a coincidence that math puzzles are often used for interviews). We cover the basic notions and results (combinatorics, graphs, probability, number theory) that are universally needed. To deliver techniques and ideas in discrete mathematics to the learner we extensively use interactive puzzles specially created for this specialization. To bring the learners experience closer to IT-applications we incorporate programming examples, problems and projects in our courses....
Introduction to Discrete Mathematics for Computer Science

자주 묻는 질문

  • 강좌에 등록하면 바로 모든 비디오, 테스트 및 프로그래밍 과제(해당하는 경우)에 접근할 수 있습니다. 상호 첨삭 과제는 이 세션이 시작된 경우에만 제출하고 검토할 수 있습니다. 강좌를 구매하지 않고 살펴보기만 하면 특정 과제에 접근하지 못할 수 있습니다.

  • 강좌를 등록하면 전문 분야의 모든 강좌에 접근할 수 있고 강좌를 완료하면 수료증을 취득할 수 있습니다. 전자 수료증이 성취도 페이지에 추가되며 해당 페이지에서 수료증을 인쇄하거나 LinkedIn 프로필에 수료증을 추가할 수 있습니다. 강좌 내용만 읽고 살펴보려면 해당 강좌를 무료로 청강할 수 있습니다.

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