微積分 I
   
Syllabus
重要觀念重申   &   指定練習
(在下一個 pdf 檔還沒出現以前,最後一個 pdf 檔仍會增修!)
Functions
Limits and Continuity
Derivative & Differential
You don't need to do innumerable exercises, as long as you know every in and out of limit and those derivative rules .....
drill
Finding Local and Global Extrema
1st Order ODE, Anti-derivative/Indefinite Integral
More separable ODE problems will be assigned after we are done with anti-derivatives.
Various Mean Values Theorems and L'Hopital Rule
1st Order ODE, Anti-derivative/Indefinite Integral
Anti-derivative(續),Riemann Sum, Definite Integral, Fundamantal Theorem of Calculus
limit of finite sum <==> definite integral
練習範例
Applications of Definite Integrals