课程信息
88,077 次近期查看

100% 在线

立即开始,按照自己的计划学习。

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初级

完成时间大约为25 小时

建议:6 weeks, 2–5 hours/week...

英语(English)

字幕:英语(English), 阿拉伯语(Arabic)

您将获得的技能

Mathematical InductionProof TheoryDiscrete MathematicsMathematical Logic

100% 在线

立即开始,按照自己的计划学习。

可灵活调整截止日期

根据您的日程表重置截止日期。

初级

完成时间大约为25 小时

建议:6 weeks, 2–5 hours/week...

英语(English)

字幕:英语(English), 阿拉伯语(Arabic)

教学大纲 - 您将从这门课程中学到什么

1
完成时间为 3 小时

Making Convincing Arguments

10 个视频 (总计 43 分钟), 4 个阅读材料, 4 个测验
10 个视频
Proofs?3分钟
Proof by Example1分钟
Impossibility Proof2分钟
Impossibility Proof, II and Conclusion3分钟
One Example is Enough3分钟
Splitting an Octagon1分钟
Making Fun in Real Life: Tensegrities10分钟
Know Your Rights5分钟
Nobody Can Win All The Time: Nonexisting Examples8分钟
4 个阅读材料
Slides10分钟
Python10分钟
Slides1分钟
Acknowledgements1分钟
1 个练习
Tiles, dominos, black and white, even and odd6分钟
2
完成时间为 5 小时

How to Find an Example?

16 个视频 (总计 90 分钟), 6 个阅读材料, 12 个测验
16 个视频
Narrowing the Search6分钟
Multiplicative Magic Squares5分钟
More Puzzles9分钟
Integer Linear Combinations5分钟
Paths In a Graph4分钟
N Queens: Brute Force Search (Optional)10分钟
N Queens: Backtracking: Example (Optional)7分钟
N Queens: Backtracking: Code (Optional)7分钟
16 Diagonals (Optional)3分钟
Warm-up5分钟
Subset without x and 100-x4分钟
Rooks on a Chessboard2分钟
Knights on a Chessboard5分钟
Bishops on a Chessboard2分钟
Subset without x and 2x6分钟
6 个阅读材料
Slides1分钟
N Queens: Brute Force Solution Code (Optional)10分钟
N Queens: Backtracking Solution Code (Optional)10分钟
16 Diagonals: Code (Optional)10分钟
Slides (Optional)1分钟
Slides1分钟
3 个练习
Is there...20分钟
Number of Solutions for the 8 Queens Puzzle (Optional)20分钟
Maximum Number of Two-digit Integers2分钟
3
完成时间为 6 小时

Recursion and Induction

13 个视频 (总计 111 分钟), 3 个阅读材料, 8 个测验
13 个视频
Recursion9分钟
Coin Problem4分钟
Hanoi Towers7分钟
Introduction, Lines and Triangles Problem10分钟
Lines and Triangles: Proof by Induction5分钟
Connecting Points12分钟
Odd Points: Proof by Induction5分钟
Sums of Numbers8分钟
Bernoulli's Inequality8分钟
Coins Problem9分钟
Cutting a Triangle8分钟
Flawed Induction Proofs9分钟
Alternating Sum9分钟
3 个阅读材料
Two Cells of Opposite Colors: Hints10分钟
Slides1分钟
Slides10分钟
5 个练习
Largest Amount that Cannot Be Paid with 5- and 7-Coins10分钟
Pay Any Large Amount with 5- and 7-Coins20分钟
Number of Moves to Solve the Hanoi Towers Puzzle30分钟
Two Cells of Opposite Colors: Feedback
Induction18分钟
4
完成时间为 3 小时

Logic

10 个视频 (总计 53 分钟), 2 个阅读材料, 9 个测验
10 个视频
Examples6分钟
Counterexamples4分钟
Basic Logic Constructs10分钟
If-Then Generalization, Quantification8分钟
Reductio ad Absurdum4分钟
Balls in Boxes4分钟
Numbers in Tables5分钟
Pigeonhole Principle2分钟
An (-1,0,1) Antimagic Square2分钟
Handshakes3分钟
2 个阅读材料
Slides10分钟
Slides1分钟
4 个练习
Examples, Counterexamples and Logic14分钟
Numbers in Boxes5分钟
How to Pick Socks5分钟
Pigeonhole Principle10分钟
4.5
115 个审阅Chevron Right

41%

完成这些课程后已开始新的职业生涯

37%

通过此课程获得实实在在的工作福利

来自Mathematical Thinking in Computer Science的热门评论

创建者 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.

创建者 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.

讲师

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

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关于 Introduction to Discrete Mathematics for Computer Science 专项课程

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

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