L17_A
4.6 Uniform Continuity(cont.)
4.6 Uniform Continuity(cont.)
(1) Example: f(x)=sin(x^2) is not uniformly continuous on R.
(2)Thm:有界 & uniformly continuous
L17_B
4.6 Uniform Continuity(cont.)
4.6 Uniform Continuity(cont.)
(1) Definition of Lipschitz function
(2) Thm: The diatance function cl:MxM->
R is a Lipschitz function
(3) Thm: compact and uniformly continuous
L17_C
4.6 Uniform Continuity(cont.)
4.6 Uniform Continuity(cont.)
(1) Thm: compact and uniformly continuous(cont.)
L17_D
4.7 Differentiation of functions of one variable
4.7 Differentiation of functions of one variable
同學自行複習
4.8 Integration of functions of one variable
(1) Definition
(2) Thm
(3) Cor
10610高等微積分練習題_1(暫).jpg
