Discrete Mathematics I: Schedule
Aoyama Gakuin University, Fall 2022/23, Martin J.
Dürst （last updated 2022-09-05）
- September 16 (on demand)
- The Importance of Mathematics /
数学の重要性
- September 23
- [Autumn Equinox, no lectures / 秋分の日、休講]
- September 30
- Representation of Natural Numbers /
自然数の表現
- October 7
- Propositions and Boolean Formulæ / 命題と論理式
- October 14
- Propositional Logic, Normal Forms / 命題論理、標準形
- October 21
- Logic Circuits, Axioms for Basic Logic /
論理回路、基本論理の公理化
- October 28
- [Aoyama festival, no lectures / 青山祭、休講]
- November 4
- Sets / 集合
- November 11
- Predicate Logic, Universal and Existential Quantifiers /
述語論理、全称限量子、存在限量子
- November 18
- Applications of Predicate Logic / 述語論理の応用
- November 23
- 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 2
- 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 9
- Algebraic Structures: Groups, Symmetric Groups /
代数系の基礎、群、対称群
- December 16
- Boolean Algebra / ブール代数
- December 23
- Modular Arithmetic / 合同算術
- December 24 to January 5
- (Winter Vacations)
- January 6
- Mathematical Induction and other Proof Methods /
数学的帰納法などの証明方法
- January 13
- Review / 復習
- January 20
- [Makeup classes / 補講]
- January 24-31
- Term Final Exam / 期末試験