About this Course
4.8
1,206개의 평가
277개의 리뷰
100% 온라인

100% 온라인

지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.
유연한 마감

유연한 마감

일정에 따라 마감일을 재설정합니다.
중급 단계

중급 단계

Hours to complete

완료하는 데 약 23시간 필요

권장: Expect to require at least 10 hours of study per week to complete this course satisfactorily....
사용 가능한 언어

영어

자막: 영어

귀하가 습득할 기술

Number TheoryReal AnalysisMathematical LogicLanguage
100% 온라인

100% 온라인

지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.
유연한 마감

유연한 마감

일정에 따라 마감일을 재설정합니다.
중급 단계

중급 단계

Hours to complete

완료하는 데 약 23시간 필요

권장: Expect to require at least 10 hours of study per week to complete this course satisfactorily....
사용 가능한 언어

영어

자막: 영어

강의 계획 - 이 강좌에서 배울 내용

1
Hours to complete
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....
Reading
6 videos (Total 84 min), 1 quiz
Video6개의 동영상
Lecture 1 - Introductory Material27m
Lecture 2 - Logical Combinators26m
Tutorial for Assignment 12m
Tutorial for Assignment 29m
Tutorial for Problem Set 19m
Quiz1개 연습문제
Problem Set 1m
2
Hours to complete
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. ...
Reading
6 videos (Total 131 min), 1 quiz
Video6개의 동영상
Lecture 4 - Equivalence24m
SUPPLEMENT: Using the course evaluation rubric4m
Tutorial for Assignment 311m
Tutorial for Assignment 421m
Tutorial for Problem Set 237m
Quiz1개 연습문제
Problem Set 2m
3
Hours to complete
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....
Reading
4 videos (Total 128 min), 1 quiz
Video4개의 동영상
SUPPLEMENT - How to Read Mathematical Formulas27m
Tutorial for Assignment 547m
Tutorial for Problem Set 323m
Quiz1개 연습문제
Problem Set 3m
4
Hours to complete
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!)...
Reading
4 videos (Total 88 min), 1 quiz
Video4개의 동영상
Lecture 6B - Working with Quantifiers 228m
Tutorial for Assignment 616m
Tutorial for Problem Set 427m
Quiz1개 연습문제
Problem Set 4m
4.8
277개의 리뷰Chevron Right
진로

38%

이 강좌를 수료한 후 새로운 경력 시작하기
경력 혜택

83%

이 강좌를 통해 확실한 경력상 이점 얻기
경력 프로모션

12%

급여 인상 또는 승진하기

최상위 리뷰

대학: NRMar 5th 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

대학: MFAug 26th 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 !

강사

Avatar

Dr. Keith Devlin

Co-founder and Executive Director
H-STAR institute

Stanford University 정보

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

  • 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.

  • 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.

  • 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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