This course provides a very brief introduction to basic mathematical concepts like propositional and predicate logic, set theory, the number system, and proof techniques. At the end of the course, students will be able to
(1) detect the logical structure behind simple puzzles
(2) be able to manipulate logical expressions
(3) explain the connection between logic and set theory
(4) explain the differences between natural, integer, rational, real and complex numbers
(5) recognise different basic proof techniques
教學大綱 - 您將從這門課程中學到什麼
週
1完成時間為 10 分鐘
Introduction
Overview and motivation of the topics to be treated in the course
1 個閱讀材料
1 個閱讀材料
Why logic for economists?10分鐘
完成時間為 1 小時
Propositional logic
Logical propositions and the rules that govern them.
4 個視頻 （總計 41 分鐘）, 4 個測驗
4 個練習
Logical knots6分鐘
Basic transformations6分鐘
De Morgan's laws6分鐘
The Lady or the Tiger?10分鐘
完成時間為 1 小時
Predicate logic, set theory, and functions
Logical statements that depend on a variable.
4 個視頻 （總計 57 分鐘）, 2 個測驗
4 個視頻
Predicate logic and set notation11分鐘
Functions and their graphs18分鐘
Onto and one-to-one19分鐘
2 個練習
Predicate logic and set theory12分鐘
About functions8分鐘
週
2完成時間為 1 小時
Numbers
2 個視頻 （總計 39 分鐘）, 1 個測驗
1 個練習
Questions about numbers6分鐘
完成時間為 20 分鐘
Final test
1 個測驗
1 個練習
Final Test20分鐘
講師
Florian
Dr. Ir.Quantitative Economics
關於 阿姆斯特丹大学
A modern university with a rich history, the University of Amsterdam
(UvA) traces its roots back to 1632, when the Golden Age school Athenaeum
Illustre was established to train students in trade and philosophy. Today,
with more than 30,000 students, 5,000 staff and 285 study programmes
(Bachelor's and Master's), many of which are taught in English, and a
budget of more than 600 million euros, it is one of the largest
comprehensive universities in Europe. It is a member of the League of
European Research Universities and also maintains intensive contact with
other leading research universities around the world.
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