Discrete Mathematics I: Schedule
Aoyama Gakuin University, Fall 2021/22, Martin J.
Dürst （last updated 2021-12-16）
- September 17 (online)
- The Importance of Mathematics / 数学の重要性
- September 24 (online)
- Representation of Natural Numbers / 自然数の表現
- October 1
- Propositions and Boolean Formulæ / 命題と論理式
- October 8
- Propositional Logic, Normal Forms / 命題論理、標準形
- October 15: No lecture
- October 22 (online)
- Logic Circuits, Axioms for Basic Logic /
論理回路、基本論理の公理化
- October 29
- [Aoyama festival, no lectures /
青山祭、休講]
- November 5
- Sets / 集合
- November 12
- Predicate Logic, Universal and Existential Quantifiers /
述語論理、全称限量子、存在限量子
- November 19
- Applications of Predicate Logic / 述語論理の応用
- November 26
- Relations: Tuples, Cross Products, Representations of Relations /
関係の基本:
順序対、n項組、直積集合、関係の表現
- December 3
- Applications of Relations: Properties of Relations, Equivalence
Relations, Order Relations / 関係の応用:
関係の性質、同値関係、半順序
- December 10
- Algebraic Structures: Groups, Symmetric Groups /
代数系の基礎、群、対称群
- December 17
- Boolean Algebra / ブール代数
- December 24 to January 5
- (Winter Vacations)
- January 7
- Modular Arithmetic / 合同算術
- January 14
- Mathematical Induction and other Proof Methods /
数学的帰納法などの証明方法
- January 21 (Make-up Class / 補講; same time same
place)
- Review / 復習
- January 28
- Term Final Exam / 期末試験