| Date |
Activities
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Objectives |
Images
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Home
work
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Assignments |
Remarks
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Images |
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Links |
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Friday
3:15 - 3:55 |
Class
cancelled Term exam |
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Monday
3:15 - 3:55 |
No
class 端午节（Dragon boat festival) |
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Friday june 10 3:15 - 3:55 |
|
 Rolle's Theorem f '(c) = 0 |
 The MVT  |
Memo Rolle + MVT p.1 (.pdf to dowload) Wikipedia / Rolle's_theor |
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Monday June 13 3:15 - 3:55 |
Exercise
on
the Mean Value of a function: L'Hospital's Rule  Exercises on L'Hospital's Rule |
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Typical problem using L'Hospital Rule :  |
Memo Rolle + MVT p.1 +Lhospital's Rule p.2 Wikipedia / L'Hôpital's_rule Exercises on L'Hospital's Rule |
Friday June 17 3:15 - 3:55 |
Application
of
the MVT Finite Variations Inequalities | f ’(x)| ≤ M =>| f(b) – f(a) | ≤ M |b - a|. Application to the study of convergence of some Recursive Sequences : un+1 = f(un ) ; f(a) = a (fixed point) | f ’(x)| ≤ k (0 < k < 1) |un+1 - a |=|f(un) – f(a)| ≤ k.| un - a | |un - a | ≤ kn.| u0 - a | Lim un = a |
un+1 = Cos un  k = √3 / 2 |
  un+1 = f(un ) k = 1 / √2 |
Finite Variations Inequalities Last Problem ! Last Problem - ANSWERS |
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Monday
June 20
3:15 - 3:55 |
Open
discussion
! & Goodbye ! 再 见好运谢谢 |
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