Jingshan Maths Senior 2 Page 1

Date	Activities / Objectives	Images / Home work / Assignments	Remarks / Images	References / Links
Tuesday Sept. 15 3:45 - 5:25	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. 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.	Review all material handed out in class Download Assignment #1 Return it on Tues. Sept.22 a >0 a < 0 A > 0 A < 0	你们好我是纪老师,我姓纪我的名字叫纪光很高兴认识你们我想你们喜欢学习数学我喜欢数学. 我的前辈是瑞士的一个著名数学家他的名字是 EULER, 他生活在俄国十八世纪. 我的母语是法语我也能说英语我用英语教你们数学, 不过,有些学生不大明白英语, 我说慢一点儿. 我要象在法国那样教数学. 谢谢. 现在,上课	1st semester Planning project (4 pages) Memo/Parabola (2 pages) Parabola.ppt (to download) Homographic functions.ppt (to download) Memo/Hyperbola (to download) Assignment #1 due for Tues. Sept.22 (to download) Glossary
Tuesday Sept. 22 3:45 - 5:25	Collection of the personnal registration sheets (with pictures). Collection of the Assignment #1 Correction of the exercices of the Assignment #1 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.	Correction of Assgn.#1 Ex.2 Animated demo about the tangent line Assignment #2 (to be returned on October 12th)	Material Handed out in class : Assignment #2 (2 pages) correction of Ex.2 in Assignment #1 (1 page) Memo on Hyperbolas (2 pages) Only 5 students have returned Assignment #1 Students who have not returned their registration sheet with a picture and /or their Assignment must return them on Wednesday to Wu LaoSh	Assignment #2 (to be returned on october 12th) Glossary Edited version

Date

Activities / Objectives

Images / Home work / Assignments

Remarks / Images

References / Links

Tuesday

Sept. 15

3:45 - 5:25

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.

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.

Review all material handed out in class
Download Assignment #1
Return it on Tues. Sept.22

a >0

a < 0

A > 0

A < 0

你们好

我是纪老师,我姓纪

我的名字叫纪光

很高兴认识你们

我想你们喜欢学习数学

我喜欢数学.

我的前辈是瑞士的一个著名数学家

他的名字是 EULER,

他生活在俄国十八世纪.

我的母语是法语

我也能说英语

我用英语教你们数学,

不过,有些学生不大明白英语,

我说慢一点儿.

我要象在法国那样教数学.

谢谢.

现在,上课

1st semester Planning project
(4 pages)

Memo/Parabola
(2 pages)

Parabola.ppt
(to download)

Homographic
functions.ppt
(to download)

Memo/Hyperbola
(to download)

Assignment #1
due for Tues. Sept.22
(to download)

Glossary

Tuesday

Sept. 22

3:45 - 5:25

Collection of the personnal registration sheets (with pictures).

Collection of the Assignment #1

Correction of the exercices
of the Assignment #1

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.

Correction of Assgn.#1 Ex.2

Animated demo about the tangent line

Assignment #2
(to be returned on October 12th)

Material Handed out in class :

Assignment #2
(2 pages)
correction of Ex.2
in Assignment #1
(1 page)
Memo on Hyperbolas
(2 pages)

Only 5 students have returned Assignment #1

Students who have not returned their registration sheet
with a picture
and /or their Assignment

must return them on Wednesday to Wu LaoSh

Assignment #2
(to be returned on october 12th)

Glossary
Edited version

Assignment #2 (to be returned on October 12th)

Assignment #2 (to be returned on october 12th)

Assignment #2
(to be returned on October 12th)

Assignment #2
(to be returned on october 12th)