期中测验时间: 11月4日 课件集合,关系,函数,基数组合数学
❖ 期中测验时间： ❖ 11月4日 ❖ 课件 集合，关系，函数，基数,组合数学
.o I Introduction to Set Theory ◆1 Sets and subsets &o Representation of set: Listing elements, Set builder notion, Recursive definition ☆∈,c,C 今P(4) &2. Operations on Sets 4. Operations and their properties A=?B AcB and b ca ☆ Or Properties Theorems, examples, and exercises
❖ ⅠIntroduction to Set Theory ❖ 1. Sets and Subsets ❖ Representation of set: ❖ Listing elements, Set builder notion, Recursive definition ❖ , , ❖ P(A) ❖ 2. Operations on Sets ❖ Operations and their Properties ❖ A=?B ❖ AB, and B A ❖ Or Properties ❖ Theorems, examples, and exercises
.3. Relations and Properties of relations reflexive ,irreflexive o symmetric asymmetric antisymmetric ◆ Transitive Closures of relations ☆r(R),S(R),t(R)= Theorems, examples, and exercises %4 Operations on Relations %Inverse relation, Composition Theorems, examples, and exercises
❖ 3. Relations and Properties of relations ❖ reflexive ,irreflexive ❖ symmetric , asymmetric ,antisymmetric ❖ Transitive ❖ Closures of Relations ❖ r(R),s(R),t(R)=? ❖ Theorems, examples, and exercises ❖ 4. Operations on Relations ❖ Inverse relation, Composition ❖ Theorems, examples, and exercises
&o 5. Equivalence relation and Partial order relations % Equivalence Relation 冷 equivalence class oo Partial order relations and Hasse Diagrams .o Extremal elements of partially ordered sets s maximal element, minimal element &o greatest element, least element &upper bound, lower bound &o least upper bound, greatest lower bound &o Theorems, examples, and exercises
❖ 5. Equivalence Relation and Partial order relations ❖ Equivalence Relation ❖ equivalence class ❖ Partial order relations and Hasse Diagrams ❖ Extremal elements of partially ordered sets: ❖ maximal element, minimal element ❖ greatest element, least element ❖ upper bound, lower bound ❖ least upper bound, greatest lower bound ❖ Theorems, examples, and exercises
%86 Everywhere functions s one to one, onto, one-to-one correspondence &o Composite functions and Inverse functions 8 Cardinality y. 8 Theorems, examples, and exercises
❖ 6.Everywhere Functions ❖ one to one, onto, one-to-one correspondence ❖ Composite functions and Inverse functions ❖Cardinality, 0 . ❖ Theorems, examples, and exercises