Learn how to think the way mathematicians do – a powerful cognitive process developed over thousands of years.

제공자:

## Introduction to Mathematical Thinking

## About this Course

### 학습자 경력 결과

## 44%

## 43%

## 18%

### 귀하가 습득할 기술

### 학습자 경력 결과

## 44%

## 43%

## 18%

#### 100% 온라인

#### 유동적 마감일

#### 중급 단계

#### 완료하는 데 약 24시간 필요

#### 영어

## 강의 계획 - 이 강좌에서 배울 내용

**완료하는 데 3시간 필요**

## 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.

**완료하는 데 3시간 필요**

**6개의 동영상**

**1개 연습문제**

**완료하는 데 4시간 필요**

## 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.

**완료하는 데 4시간 필요**

**6개의 동영상**

**1개 연습문제**

**완료하는 데 4시간 필요**

## 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.

**완료하는 데 4시간 필요**

**4개의 동영상**

**1개 연습문제**

**완료하는 데 3시간 필요**

## 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!)

**완료하는 데 3시간 필요**

**4개의 동영상**

**1개 연습문제**

### 검토

#### 4.8

##### INTRODUCTION TO MATHEMATICAL THINKING의 최상위 리뷰

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

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.

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 !

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.

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!

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.

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.

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 .

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.

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 !

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.

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.

### 제공자:

#### 스탠퍼드 대학교

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.

## 자주 묻는 질문

강의 및 과제를 언제 이용할 수 있게 되나요?

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.

이 수료증을 구매하면 무엇을 이용할 수 있나요?

수료증을 구매하면 성적 평가 과제를 포함한 모든 강좌 자료에 접근할 수 있습니다. 강좌를 완료하면 전자 수료증이 성취도 페이지에 추가되며, 해당 페이지에서 수료증을 인쇄하거나 LinkedIn 프로필에 수료증을 추가할 수 있습니다. 강좌 콘텐츠만 읽고 살펴보려면 해당 강좌를 무료로 청강할 수 있습니다.

환불 규정은 어떻게 되나요?

재정 지원을 받을 수 있나요?

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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