---
title: 111微積分(1)
tags: 微積分一
---

## 課前介紹
### Some info
- Office: Q617
- Office Hours: Tues 10:00 - 12:00
- cell: 0937749881

### Calculus desc.
Origin：From newton investigated Limits
Most important Conception： Limits
Newton's contribution ： Find the relation between integration and differential（inverse relation 互逆關係）

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Learn How to Learn
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Topics:
1. 以函數為例子來求極限
1. 導數/微分公式
1. 微分的應用

Prerequisite: High School Math

Grading:
Daily Grade 40%
Miderm 30%
Final 30%

Daily Grade computed by:
Formuls = 50(base point) + 2*(Early Bird) + 2*(In Class Exercise/HomeWork) + 5*(quiz or miderm/final) + (Bouns Point)

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Homework Copying is strictly prohibited
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考試方式(待挑選)：
跟學校考 -> 集中考試
自己考 -> open book

## 1.1 函數
A = $\pi r ^2$
dependent variable (A) = some compute with independent variable ( r )

>Function is realtion between dependent and independent variable

> 集合A 按照對應法則 F 都可以在 集合B 中找到 "唯一" 一個相對應元素 y
> 我們記之為 $y = f(x)$

>

$range \subseteq setB$

**我們目前探討之微積分的 定義域 為 實數**
實數(可以被表示在數線上) ＝ 有理數(可以被換成分數) + 無理數(循環小數 etc.)

開區間 $(a,b) = (x|a<x<b)$
閉區間 $[a,b] = (x|a <= x <= b )$
無窮區間 $(a,+\infty)$ 無限大不能是閉區間

### 名詞：
[常用名詞](http://amath2.nchu.edu.tw/hcwang/calculus_translation.html)
inverse relation (互逆關係)： 積分在微分後會變成自己
domain (定義域)
range (值域)
independent variable (自變數)
dependent variable (應變數)