This course is offered simultaneously with the lecture "MCS.T201: Set and Topology I" and provides exercises on set theory and metric space.
The aim of this course is to understand the fundamentals of set theory and metric space well and apply them to practical problems.
The students are expected to understand important examples of set theory and metric space, to learn the fundamentals to handle mathematical subjects rigorously and also to be able to apply them to practical problems.
Set, Map, Family of Sets, Axiom of Choice, Equivalence Relation, Quotient Set, Cardinality, Order Relation, Well-ordered set, Metric Space
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
The lectures provide exercises on topics of "MCS.T201 ： Set and Topology I". The students are strongly encouraged to register for "MCS.T201 ： Set and Topology I".
|Course schedule||Required learning|
|Class 1||Set and Set Operation||report1|
|Class 2||Map, Family of Sets, Axiom of Choice||report2|
|Class 3||Equivalence Relation and Quotient Set||report3|
|Class 5||Countable Set/Uncountable Set, Cardinality of the Continuum||report5|
|Class 6||Order Relation, Well-Ordered set, Zorn's lemma||report6|
|Class 7||Euclidean Space and Metric Space||report7|
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
"Set and Topological Space (in Japanese)" by Shigeyuki Morita published by Aasakura Shoten.
The person in charge will hand out materials accordingly.
By scores of reports and class performance. Details will be announced in the first lecture.
The students who register for this course are strongly encouraged to do for "MCS.T201: Set and Topology I" simultaneously.