北京 景山学校 数学系
Calculus ++ @ MATHEMATICS @ Senior 2.4  。2011-12
jiguanglaoshi@gmail.com

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[1] October
[updated : 2011/11/03]
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Thursday

Oct. 20

4:05 - 4:45
Friday

Oct.21

4:05 - 4:45
 Chapter I :
Formal definitions of Limits of Functions
Example and illustrations

limits


cont @ a
lim1

Lim_Def_1.png

Lim 4

Lim_Def_4.png

Lim_3.png

Lim_Def_3.png


lim 2

Lim_Def_2.png



Registration form
to be returned asap !





Chart of definitions of limits
completed in class




Chart of theorems of
operations on limits
to be completed
 for Thursday 27


Chart of Theorems of
operations on limits
(SPQR)
ANSWERS
Thursday

Oct. 27

4:05 - 4:45
Friday

Oct.28

4:05 - 4:45
  • Collect Registration forms
  • Handout MEMO on definition of limits
General theorems on limits :
  • Study of the chart of Limits of the SUM, PRODUCT, QUOTIENT of two functions.
  • Study of the typical UNDECIDED forms
    未确定
            ∞ - ∞   ;  0 x ∞  ;  ∞ / ∞ ;  0 / 0
    •
    • Graph of the Infinite branches

    Application of the Theorems to :
    • Polynomials :
    Lim_pol.jpg

    • Fractions :
    Lim_Frac.jpg
    Lim_cases.jpg
    Examples :

    Lim_pol_fact_Example.jpg

    Lim_Frac_rat_Ex.jpg
    Assignment #2
    Exercises on Limit
    1-10

    Assignment #3
    Exercises on Limit
    11-20