Discrete Mathematics I: Schedule

Aoyama Gakuin University, Fall 2021/22, Martin J. Dürst (last updated 2021-10-07

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)
Review / 復習
January 28
Term Final Exam / 期末試験