北京 景山学校 数学系

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

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[1] September
[updated : 2010/09/23]
Date
Activities / Objectives
 Images / Home work / Assignments
Remarks / Images
References / Links








Tuesday


Sept. 21

15:15 - 16:45
Chapter I :
Review on elementary functions :
1. Second Degree functions :
    a) Algebraic properties of the basic
       function : x ---> y= ax2
        • parity
        • sign of the Rate of growth

    b) Geometric properties of the
        Parabola associated with it :

        • symmetry / Oy
        • sign of a / direction
        
tangent to the vertex.

        • tangent to (1/a;1/a)

    c) Transformations of the basic
        function  associated with vector
        translations applied to the
        original
Parabola.






Review all material handed out in class
Download Assignment #1

a >0

a < 0



General case







我很高兴还来北京景山学校。

可能你们知道我在Paris NYC 数学很都年,和去年我在景山。

都你们知道我用英语教数学

我的汉语不流利。

如果我说英语太快你们高速我






1st semester Planning project


Memo/Parabola
(2 pages)

Parabola.ppt
(to download)





Assignment #1
(to download)


Glossary

Tuesday

Sept. 28

15:15 - 16:45
Collection of the personnal registration sheets
(with pictures)
.
Correction of the exercices
of the Assignment #1
2. Homographic functions :

    a) properties of the fundamental function
                    h : x ----> y = A/x

    b) Geometric properties of the
        
Hyperbola associated with it.

    c) Transformations of the basic
        function  associated with vector
        translations applied to the
        original
Hyperbola.

    d) Construction of the hyperbola (H5) by             mean of the vertical and horizontal
         asymptotes, plus one point.


==============================

Introduction to the concept
of Tangent line.

New exercise on Tangent line
(same parabola)

Study of the general case
(second degree function)

Definition of the derivative of a function in one point as limit of the rate of growth in one point

Equation of the tangent line
in one point of a parabola and of a hyperbola.


A > 0


A < 0





Correction of Assgn.#1 Ex.2




Animated demo about the tangent line



Material handed out  in class :

Assignment #2
(2 pages)




Correction of Ex.2
in Assignment #1

(1 page)



Memo/Hyperbola
(2 pages)



Assignment #2
(2 pages to download)


Homographic functions.ppt
(to download)


Memo/Hyperbola
(to download)


Glossary

(to be edited every week)