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
|Intercultural skills||Communication skills||✔ Specialist 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|
"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. If you register for "MCS.T201: Set and Topology I", its score will be counted as a part of contributions also. 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.