北京 景山学校 数学系

Calculus ++ @ MATHEMATICS @ Senior 2.4  。2010-11
jiguanglaoshi@gmail.com

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[7] May
[updated : 2011/06/02]
Date
Activities / Objectives
 Images / Home work / Assignments
Remarks / Images
References / Links

Tuesday

May 03

3:15 - 3:55




IBP



Integration by part
.ppt to download


Friday

May 06

3:15 - 3:55
  • Integration by parts :

    • Review & complete problems
      # IV to VIII from the .ppt

    • More Exercises for those who already completed the above



From Monday May 9th
until the end of the semester,
the Tuesday's class
is moved to Monday's
same period.


More Exercises on I.B.P.


 

Monday

May 9

3:15 - 3:55

  • Correction of Problems IV and VIII
    of the .ppt by students.
wallis

comb

INt_e  e
students sent to the Board
to give the answers





Answers / Exercises on I.B.P.


Friday

May 13

3:15 - 3:55
    • Check exercises of May 6th
New kind of Integrals :
  • Derivative of an integral of which the end is a function of x.
    derF


  • Extended Integrals :
    ext
Derivation of the function defined by :
IBP1

Limits of this function in 1+ and +∞
ibp2







Extended Integrals Exercises




Monday


May 16

3:15 - 3:55
chg_v

Elementary Examples





chgt1

chgt2
周 楠
says that she hates Maths
and she thinks that this it's useless ...
but she is good enough !
May be she does not realize that
 unless we return to the stone age,
Maths is just the solution to all problems
except may be ... Love !!!


TEST
Friday May 20th
Integrals / IBP
Extended Integrals
Derivative of an Integral function

Elementary Change of variable under





Change of variable under ∫

Friday

May 21

3:15 - 3:55
TEST
Integrals / IBP
Extended Integrals
Derivative of an Integral function
Elementary Change of variable under

T12345

67 

89

910





Time extension :
60 minutes
instead of 40 minutes

Test graded on 40 Pts



Test [A]

Test [B]




Monday


May
23

3:15 - 3:55




Return of papers and Correction

of TESTS A & B


TESTS RESULTS
[40 pts]
  • 32 ≤ N ≤ 40 = 06 %
  • 24 ≤ N ≤ 31 = 15 %
  • 20 ≤ N ≤ 23 = 15 %
  • 16 ≤ N ≤ 19 = 08 %
  • 00 ≤ N ≤ 15 = 56 %

Friday

May 25

3:15 - 3:55
Integrals
Extra Change of variable
Typical Exercises
extraxhgvar
Applications of the change of variable
(Wallis' integrals)
wallis=

wallis_bis


Class extremely
demotivated
by
coming up
Mid Term Exam
next Friday
June 2 & 3


Extra change of variable



Extra change of variable
ANSWERS

Monday

May
30

3:15 - 3:55
Correction of last problem :
Extended Integrals

Ipn



No class next Friday June 3rd
because of the Mid Term Exam





Extra change of variable
ANSWERS