À propos de ce cours
4.8
1,211 notes
279 avis
100 % en ligne

100 % en ligne

Commencez dès maintenant et apprenez aux horaires qui vous conviennent.
Dates limites flexibles

Dates limites flexibles

Réinitialisez les dates limites selon votre disponibilité.
Niveau intermédiaire

Niveau intermédiaire

Heures pour terminer

Approx. 23 heures pour terminer

Recommandé : Expect to require at least 10 hours of study per week to complete this course satisfactorily....
Langues disponibles

Anglais

Sous-titres : Anglais

Compétences que vous acquerrez

Number TheoryReal AnalysisMathematical LogicLanguage
100 % en ligne

100 % en ligne

Commencez dès maintenant et apprenez aux horaires qui vous conviennent.
Dates limites flexibles

Dates limites flexibles

Réinitialisez les dates limites selon votre disponibilité.
Niveau intermédiaire

Niveau intermédiaire

Heures pour terminer

Approx. 23 heures pour terminer

Recommandé : Expect to require at least 10 hours of study per week to complete this course satisfactorily....
Langues disponibles

Anglais

Sous-titres : Anglais

Programme du cours : ce que vous apprendrez dans ce cours

Semaine
1
Heures pour terminer
3 heures pour terminer

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 vidéos (Total 84 min), 1 quiz
Video6 vidéos
Lecture 1 - Introductory Material27 min
Lecture 2 - Logical Combinators26 min
Tutorial for Assignment 12 min
Tutorial for Assignment 29 min
Tutorial for Problem Set 19 min
Quiz1 exercice pour s'entraîner
Problem Set 1s
Semaine
2
Heures pour terminer
4 heures pour terminer

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 vidéos (Total 131 min), 1 quiz
Video6 vidéos
Lecture 4 - Equivalence24 min
SUPPLEMENT: Using the course evaluation rubric4 min
Tutorial for Assignment 311 min
Tutorial for Assignment 421 min
Tutorial for Problem Set 237 min
Quiz1 exercice pour s'entraîner
Problem Set 2s
Semaine
3
Heures pour terminer
4 heures pour terminer

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 vidéos (Total 128 min), 1 quiz
Video4 vidéos
SUPPLEMENT - How to Read Mathematical Formulas27 min
Tutorial for Assignment 547 min
Tutorial for Problem Set 323 min
Quiz1 exercice pour s'entraîner
Problem Set 3s
Semaine
4
Heures pour terminer
3 heures pour terminer

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 vidéos (Total 88 min), 1 quiz
Video4 vidéos
Lecture 6B - Working with Quantifiers 228 min
Tutorial for Assignment 616 min
Tutorial for Problem Set 427 min
Quiz1 exercice pour s'entraîner
Problem Set 4s
4.8
279 avisChevron Right
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a commencé une nouvelle carrière après avoir terminé ces cours
Avantage de carrière

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Promotion de carrière

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Meilleurs avis

par 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

par 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 !

Enseignant

Avatar

Dr. Keith Devlin

Co-founder and Executive Director
H-STAR institute

À propos de Stanford University

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....

Foire Aux Questions

  • Une fois que vous êtes inscrit(e) pour un Certificat, vous pouvez accéder à toutes les vidéos de cours, et à tous les quiz et exercices de programmation (le cas échéant). Vous pouvez soumettre des devoirs à examiner par vos pairs et en examiner vous-même uniquement après le début de votre session. Si vous préférez explorer le cours sans l'acheter, vous ne serez peut-être pas en mesure d'accéder à certains devoirs.

  • Lorsque vous achetez un Certificat, vous bénéficiez d'un accès à tout le contenu du cours, y compris les devoirs notés. Lorsque vous avez terminé et réussi le cours, votre Certificat électronique est ajouté à votre page Accomplissements. À partir de cette page, vous pouvez imprimer votre Certificat ou l'ajouter à votre profil LinkedIn. Si vous souhaitez seulement lire et visualiser le contenu du cours, vous pouvez accéder gratuitement au cours en tant qu'auditeur libre.

  • 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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