Discrete Mathematics I: Schedule
Aoyama Gakuin University, Fall 2020/21, Martin J.
Dürst
- September 18
- The Importance of Mathematics / 数学の重要性
- September 25
- Representation of Natural Numbers / 自然数の表現
- October 2
- Propositions and Boolean Formulæ / 命題と論理式
- October 9
- Propositional Logic, Normal Forms / 命題論理、標準形
- October 16
- Logic Circuits, Axioms for Basic Logic /
論理回路、基本論理の公理化
- October 23
- Sets / 集合
- October 30
- [Aoyama festival, no lectures /
青山祭、休講]
- November 6
- Predicate Logic, Universal and Existential Quantifiers /
述語論理、全称限量子、存在限量子
- November 13
- Applications of Predicate Logic / 述語論理の応用
- November 20
- 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
- November 27
- 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 4
- Algebraic Structures: Groups, Symmetric Groups /
代数系の基礎、群、対称群
- December 11
- Boolean Algebra / ブール代数
- December 18
- Modular Arithmetic / 合同算術
- December 23 to January 7
- (Winter Vacations)
- January 8
- Mathematical Induction and other Proof Methods /
数学的帰納法などの証明方法
- January 15
- Review / 復習
- January 22 [Make-up Classes / 補講]
- January 29
- Term Final Exam / 期末試験