• A-
• A
• A+
03-5715131#35401 mengfen@mx.nthu.edu.tw 吳小姐

Title

Video

Syllabus

## 章節大綱

L32_ A
Chapter 6:Differentiable mappings

(1)Thm_1

L32_ B
Chapter 6:Differentiable mappings(cont.)
(1)Definition: Let f:A ⊂ R^n -> R^m be a function O⊂A
(2)Prop: Let f:A ⊂ R^n -> R^m be a function O⊂ A'
(3)Thm:(o(x)的四則運算)

L32_C
Chapter 6:Differentiable mappings(cont.)
(1)Thm:(o(x)的四則運算)
(2)Definition:
Let f:I⊂ R->R be a function.
We sat that f is diff. at x if ∃ a number in R,denoted by
f(x),s.t. f(x＋h)-f(x)=f'(x)h＋o(R)
(3)Definition:
Let f:I⊂ R->R be a function.
We sat that f is diff. at x if ∃ a vector in R,denoted by
∇f(x),s.t. f(x＋h)-f(x)=∇f(x)h＋o(R)
(4)In general,let f:A ⊂ R->R be a function.
Consider f(x＋h)-f(x)=∇h

L32_D
C. Chapter 6:Differentiable mappings(cont.)
(1)In general,let f:A ⊂ R->R be a function.
Consider f(x＋h)-f(x)= h
(2)Consider a linear function
(3)Definition:A mapping f:A ⊂ R^n -> R^m is said to be
diff. at x if there is a linear function,
denoted by Df(x),s.t. f(x＋h)-f(x)=Df(x)h＋o(R)

### 課程資訊

• #### 高淑蓉 教授

• 上架日期: 2020-05-26
• 點閱次數: 5883