北京 景山 学校 数学系
Elective / Pre-Calculus @ MATHEMATICS @ Senior 1  。2009-2010
jiguanglaoshi@gmail.com

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[2] October
[updated : 090/10/27]
Date
 Activities / Objectives
  Images / Home Work
 Remarks / Images
 References / Linkis
Monday

Oct. 12

14:50 -15:35

15:45 -16:30
Review of elementary functions
(Part 3)
Examples - Equations - Graphs - Exercises
    Use of Mathematical software.
a) Homographic functions [.ppt]


b) Interception of lines and Hyperbola


Equilateral Hyperbola


Assignment #4
To be returned on Oct.19th
 
Equilateral Hyperbola
 Assignment #4
To be returned on Oct.19th
 



Monday

Oct. 19

14:50 -15:35

15:45 -16:30
  • Return Ass. # 3 on Graphs of Parabolas
  • Collect Ass. # 4 on Homogaphic functions.
  • Handout Ass. # 5 on Associatied functions
Chapter IV :
Associated functions / geometric transformations
    Examples  - Equations - Graphs - Exercises
    Use of Mathematical software : ===>

a)     g(x) = - f(x) / Ox Symmetry

b)    g(x) = f(-x) / Oy Symmetry

c)    g(x) = - f(-x) / Central Symmetry

d)    g(x) = f(x - L) + H  / Translation
Assignment #5
to be returned on Oct.26
af




Assignment #5









Monday

Oct. 26

14:50 -15:35

15:45 -16:30
  • Return Ass. # 4 on Graphs of Hyperbolas
  • Collect Ass. # 5 on graph of associated functions.
  • Show answers to Ass. # 5 on the computer.
  • Handout Ass. # 6 on Axes of Symmetry and Center of Symmetry.
  • Exercises (Ass. #6 p.1) on associated functions with the Sqr function  :
             Rad
  • Theorem  on Axis of Symmetry x=a
                  x=a
  • Theorem  on Center of Symmetry I(a;b)
    I
Assignment #6
To be returned on Nov.2

niao

oi
Visit of the Head of the Math
Department
&
Head of Highschool

Review Test
Monday
Nov. 2
Problems similar to those in the 6 previous assignments :
  • Linear and affine functions
  • Linear programming
  • Second degree functions
  • Homographic functions
  • Associated functions
  • Symmetries







Assignment #6