Learn how to think the way mathematicians do – a powerful cognitive process developed over thousands of years.
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Введение в математическое мышление
Стэнфордский университет
Об этом курсе
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начал новую карьеру, пройдя эти курсы
43%
получил значимые преимущества в карьере благодаря этому курсу
18%
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Промежуточный уровень
Прибл. 40 часа на выполнение
Английский
Субтитры: Английский
Приобретаемые навыки
Number TheoryReal AnalysisMathematical LogicLanguage
Карьерные результаты учащихся
44%
начал новую карьеру, пройдя эти курсы
43%
получил значимые преимущества в карьере благодаря этому курсу
18%
стал больше зарабатывать или получил повышение
Сертификат, ссылками на который можно делиться с другими людьми
Получите сертификат по завершении
100% онлайн
Начните сейчас и учитесь по собственному графику.
Гибкие сроки
Назначьте сроки сдачи в соответствии со своим графиком.
Промежуточный уровень
Прибл. 40 часа на выполнение
Английский
Субтитры: Английский
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Стэнфордский университет
The Leland Stanford Junior University, commonly referred to as Stanford University or Stanford, is an American private research university located in Stanford, California on an 8,180-acre (3,310 ha) campus near Palo Alto, California, United States.
Программа курса: что вы изучите
3 ч. на завершение
Week 1
START with the Welcome lecture. It explains what this course is about. (It comes with a short Background Reading assignment, to read before you start the course, and a Reading Supplement on Set Theory for use later in the course, both in downloadable PDF format.) This initial orientation lecture is important, since this course is probably not like any math course you have taken before – even if in places it might look like one! AFTER THAT, Lecture 1 prepares the groundwork for the course; then in Lecture 2 we dive into the first topic. This may all look like easy stuff, but tens of thousands of former students found they had trouble later by skipping through Week 1 too quickly! Be warned. If possible, form or join a study group and discuss everything with them. BY THE WAY, the time estimates for watching the video lectures are machine generated, based on the video length. Expect to spend a lot longer going through the lectures sufficiently well to understand the material. The time estimates for completing the weekly Problem Sets (Quiz format) are a bit more reliable, but even they are just a guideline. You may find yourself taking a lot longer.
3 ч. на завершение
6 видео ((всего 84 мин.))
6 видео
Lecture 1 - Introductory Material27мин
Lecture 2 - Logical Combinators26мин
Tutorial for Assignment 12мин
Tutorial for Assignment 29мин
Tutorial for Problem Set 19мин
1 практическое упражнение
Problem Set 12ч
4 ч. на завершение
Week 2
In Week 2 we continue our discussion of formalized parts of language for use in mathematics. By now you should have familiarized yourself with the basic structure of the course: 1. Watch the first lecture and answer the in-lecture quizzes; tackle each of the problems in the associated Assignment sheet; THEN watch the tutorial video for the Assignment sheet. 2. REPEAT sequence for the second lecture. 3. THEN do the Problem Set, after which you can view the Problem Set tutorial. REMEMBER, the time estimates for watching the video lectures are machine generated, based on the video length. Expect to spend a lot longer going through the lectures sufficiently well to understand the material. The time estimates for completing the weekly Problem Sets (Quiz format) are a bit more reliable, but even they are just a guideline. You may find yourself taking a lot longer.
4 ч. на завершение
6 видео ((всего 131 мин.))
6 видео
Lecture 4 - Equivalence24мин
SUPPLEMENT: Using the course evaluation rubric4мин
Tutorial for Assignment 311мин
Tutorial for Assignment 421мин
Tutorial for Problem Set 237мин
1 практическое упражнение
Problem Set 22ч
4 ч. на завершение
Week 3
This week we continue our analysis of language for use in mathematics. Remember, while the parts of language we are focusing have particular importance in mathematics, our main interest is in the analytic process itself: How do we formalize concepts from everyday life? Because the topics become more challenging, starting this week we have just one basic lecture cycle (Lecture -> Assignment -> Tutorial -> Problem Set -> Tutorial) each week. If you have not yet found one or more people to work with, please try to do so. It is so easy to misunderstand this material.
4 ч. на завершение
4 видео ((всего 128 мин.))
4 видео
SUPPLEMENT - How to Read Mathematical Formulas27мин
Tutorial for Assignment 547мин
Tutorial for Problem Set 323мин
1 практическое упражнение
Problem Set 32ч
3 ч. на завершение
Week 4
This week we complete our analysis of language, putting into place the linguistic apparatus that enabled, mathematicians in the 19th Century to develop a formal mathematical treatment of infinity, thereby finally putting Calculus onto a firm footing, three hundred years after its invention. (You do not need to know calculus for this course.) It is all about being precise and unambiguous. (But only where it counts. We are trying to extend our fruitfully-flexible human language and reasoning, not replace them with a rule-based straightjacket!)
3 ч. на завершение
4 видео ((всего 88 мин.))
4 видео
Lecture 6B - Working with Quantifiers 228мин
Tutorial for Assignment 616мин
Tutorial for Problem Set 427мин
1 практическое упражнение
Problem Set 42ч
Рецензии
Лучшие отзывы о курсе ВВЕДЕНИЕ В МАТЕМАТИЧЕСКОЕ МЫШЛЕНИЕ
от партнера AMNov 23, 2019
It was an amazing course! Lots of interesting content. The content is also explained really well, i found it really easy to understand. The assessments are a little challenging, but reasonably sized.
от партнера NRMar 4, 2018
An awesome course. Very easy to follow at the start, becomes more challenging at the end. I have a PhD in economics yet I struggled with the real analysis at the end. And that's just intro level! :-D
от партнера MFAug 25, 2017
Great course, it's really shows the way how to think in mathematical rigor. It gave me an intuition about what Mathematics is itself.\n\nThank you Profesor Keith Devlin, you are a great teacher !
от партнера JJApr 15, 2019
In the last lecture, based on what he previous taught, the professor give us the definition of limitation which is the beginning of the Calculus. I wish I taken this course before university.
от партнера HDMay 31, 2018
Great course about mathematical thinking, mathematical logic and proofs. I have a much better grasp on doing rigorous proofs after taking this course. Thanks for putting it together for us!
от партнера GDMay 9, 2017
Great course ! Provided new skills on how to think about maths and improved my overall confidence with the subject. I feel like I can go further in the study of mathematics thanks to this.
от партнера TTApr 5, 2017
I have to say I enjoyed the course and the reading materials. My advice would be to take the course it will make you think. It is a great refresher / introduction to mathematical thinking.
от партнера RCMar 4, 2018
It is nice to see connections among mathematical theories, and this course it is very well designed to accomplish this. I highly recommend if you want to improve your mathematical skills.
от партнера BKJun 18, 2017
Its a 5 star course taught by a great professor. The journey through this course was like reliving school days with even more fun. Course is really refreshing for math lovers. Go for it !
от партнера ZEJan 16, 2017
i just had taken this course in the college and i don't understand a lot of things but after i started in the course a lot of thinking going to be more clear , thank you for this course .
от партнера VVApr 23, 2018
With the help of this course, my grade for fundamental mathematics at school raised from C to A. Really thankful. This course truly helped me better understand the abstruse conceptions.
от партнера AVSep 26, 2019
One of the best online course i have ever taken. Thanks to Keith sir for explaining all the concepts so engagingly and in detail. Looking forward for course's like this on coursera.
от партнера AOApr 10, 2018
I am happy to learn Math from the beginning of the beginning. Moreover, if this course was read for me at school, I am sure that I could have much more closest relations with math:)
от партнера VRMay 5, 2017
The course is a really good introduction into the world of mathematical proofs and the logic behind them. Really, everyone will benefit from the way of thinking the course teaches.
от партнера AMMar 10, 2020
This course actually changed my life. It gave me the courage to start studying mathematics at a university. Thank you so much, Dr. Keith Devlin and the team at Stanford University!
от партнера VKMar 15, 2017
This is a very important course on the journey to mathematical mastery. It helped in developing the ability to read and write mathematical statements without feeling intimidated.
от партнера YSJun 11, 2017
Some work is involved and probably a good ideas to start on assignments earlier then later, but it's really thought through material that is being presented and great concepts.
от партнера DBApr 4, 2017
Hard work but worth it. I get the feeling I now know something about what maths is about.\n\nBrilliant teacher, although I didn't realize this until completing the course.
от партнера BWDec 21, 2017
As the name suggests, it is a great introduction to the world of mathematics. No unecessary pressure, which makes it an enjoyable experience for those willing to learn.
от партнера LHMar 20, 2017
I really learned a lot and had a glimpse of mathematical thinking. I believe this course will be very helpful for my future learning. Thank you very much, Prof. Devlin.
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Зарегистрировавшись на сертификацию, вы получите доступ ко всем видео, тестам и заданиям по программированию (если они предусмотрены). Задания по взаимной оценке сокурсниками можно сдавать и проверять только после начала сессии. Если вы проходите курс без оплаты, некоторые задания могут быть недоступны.
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Оплатив сертификацию, вы получите доступ ко всем материалам курса, включая оцениваемые задания. После успешного прохождения курса на странице ваших достижений появится электронный сертификат. Оттуда его можно распечатать или прикрепить к профилю LinkedIn. Просто ознакомиться с содержанием курса можно бесплатно.
Какие правила возврата средств?
Можно ли получить финансовую помощь?
What is the passing grade for this course?
Since the focus is to acquire a new way of thinking (as opposed to getting right answers), the passing grade for the weekly Problem Sets is 35%, and for the Test Flight Problem Sets 30%. Basically, this means that if you stick with the course and complete all the work diligently, you should get a passing grade.
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