###### Brief Information

- Name : Finite Mathematics 유한수학
- Lecturer : Sang-Mok Kim 김상목
- Semester : 2016 Spring
- Major : BS, Mathematics
- Textbook
- Syllabus : Syllabus_2016-5-1__Finite Mathematics.pdf
- In short
- The professor said this course is about
**discrete mathematics**.

- The professor said this course is about

#### Assignments

- [Assignment 1] Logic and Functions | Finite Mathematics
- [Assignment 2] Functions, Mathematical Induction, Equivalence Relations, and Selected Exercises in Chapter 1 of the Textbook | Finite Mathematics
- Exercises of assignment 2: Finite Mathematics) Assignment 2.pdf
- Solution:

- [Assignment 3] Sets, Functions, the Pigeonhole Principle and the Binomial Theorem
- [Assignment 4] Linear Recurrence Relations including the Tower of Hanoi Sequence, the Catalan Number, and the Fibonacci Sequence
- [Assignment 5]

#### Lectures

##### 1. Introduction | 2016-03-07 Mon.

- In South Korea, mathematics graduates are demanded in lots of industries. However, there are few people good at mathematics and English literacy.
- If you learn English through mathematics, you can get used to using advanced English words.
- The revolution of the ‘fundamental theorem of calculus’.
- Continuity makes us use the
*Intermediate Value Theorem(IVT)*, which can be used to find approximate values. - Following the
*uncertainty principle*, the observing the nature has limit. Between some boundaries, it is still reasonable to consider the value we found as the limit of the solution.

###### Classification of mathematics

- By approach: algebra, analysis
- By theme: number theory, topology, geometry, combinatorics

###### Story Flow of Analysis

##### 2. Finite and Infinite | 2016-03-09 Wed.

- Number
- The category of the numbers
- What is infinity?
- Infinity sets
- Whether exists or not, the foundation of mathematics is not affected.
- Know how to prove
- “We live in the DISCRETE world.” “우리는 유한의 세계에 살고 있다.”
- “There are an infinity-like finite set.” “무한 같은 유한이 있다.”