Discrete Mathematics I: Schedule

Aoyama Gakuin University, Fall 2017/8, Martin J. Dürst

September 15
The Importance of Mathematics / 数学の重要性
September 22
Natural Number Representation / Natural Number Representation / 整数の表現
September 29
Propositions and Boolean Formulæ / 命題と論理式
October 6
Propositional Logic, Normal Forms / 命題論理、標準形
October 13
Logic Circuits, Axioms for Basic Logic / 論理回路、基本論理の公理化
October 20
[overseas conference, no lecture / 海外出張、休講]
October 27
Predicate Logic, Universal and Existential Quantifiers / 述語論理、全称限量子、存在限量子
November 3
(Aoyama festival, no lectures / 青山祭、休講)
November 10
Applications of Predicate Logic / 述語論理の応用
November 17
Sets / 集合
November 24
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 1
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 8
Algebraic Structures: Groups, Symmetric Groups / 代数系の基礎、群、対称群
December 15
Boolean Algebra / ブール代数
December 22
Modular Arithmetic / 合同算術
December 24 to January 9
(Winter Vacations)
January 12 (maybe January 17 or January 23)
[Make-up Class / 補講] Mathematical Induction and other Proof Methods / 数学的帰納法などの証明方法
January 19
Review / 復習
January 24 to 31
Term Final Exam Period / 期末試験期間