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好料分享，數學lecture clips
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发表于 12-8-2009 11:29 PM
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本帖最后由 peaceboy 于 9-10-2010 11:50 PM 编辑
还好当年我第一个回帖 
跟着topic稍微整理了下....
xxxxx<<<暂无
第二页即见模式，不过太多会卡
 这页内编辑过了就不在第二页编辑了，很卡
点击你要的题目进入 (right click , open in new tab/window)
===================================================
Chapter 1 : Number and set
1.1 Absolute value :
concept
how to solve more than or less than question
1.2 Logarithms
concept
law of logarithm 1
law of logarithm 2
1.3 Complex number
introduction to i[imaginary number]
complex number 1
complex number 2
Rationalize a Denominator
xxxxx Argand diagram
1.4 Sets
xxxxx
====================================================
Chapter 2 Polynomials
long division
polynomials divison
completing the square
discrimination of quadratic equation, b^2 -4ac
quadratic inequalities-basic
xxxxx (cubic inequalities)
partial fraction 1
partial fraction 2
partial fraction 3
====================================================
Chapter 3 Sequence and Series
intro to sum , AP Formula GP formula prove
intro to sum , AP Formula GP formula prove 2
binomial Expansion- (ax+b)^n
binomial Expansion- (ax+b)^n 2
binomial Expansion- (ax+b)^n 3 (u can ignore this)
if n is not a positive integer , got other way....
====================================================
Chapter 4 Matrix
introduction
multiplication matrix 1
multiplication matrix 2
inverse matrix 1
inverse matrix 2
inverse matrix 3 Gauss-Jordan elimination not in our syllabus
Use Matrices to solve equations
====================================================
Chapter 5 Coordinate Geometry
distance formula
Midpoint Formula
xxxxx--ratio formula
Intro to Circles
Intro to Ellipses
Intro to Hyperbolas
asymptote
Hyperbolas 2
Hyperbolas 3
parametric equation 1
parametric equation 2
parametric equation 3
parametric equation 4
====================================================
Chapter 6 Function
introduction
function 2
function 3
function 4
--limit--
intro
limit 2
limit 3
limit 4
Squeeze Theorem
====================================================
Chapter 7 Differentiation
understanding
1st principle
basic
basic
chain rule--important knowledge
exp of chain rule
Even more examples using the chain rule.
product rule-basic
quotient rule ,differentiation of e^x, ln x, sin x, cos x, and tan x
more exp
Implicit Differentiation 1
Implicit Differentiation 2
newton raphson method
Maxima Minima Slope
Inflection Points and Concavity Intuition
Introduction to rate-of-change
Rates-of-change (part 2)
====================================================
Chapter 8 Integration
intro
example
formula formula rewrite : integrate ([f(x)]^n)f'(x) = {[f(x)]^(n+1)}/(n+1) + c
integration by substitution
intro of integration by part
exp of integration by part
Why Definite Integrals = Area Under Curve 1
Why Definite Integrals = Area Under Curve 2
Why Definite Integrals = Area Under Curve 3
Use of definite integrals to find the area under a curve 1
Use of definite integrals to find the area under a curve 2
Volume 1
Volume 2
Volume 3
Volume 4
Volume 5 not in our syllabus
Volume 6 not in our syllabus
Volume 7 not in our syllabus
Volume 8 not in our syllabus |
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发表于 13-8-2009 07:58 AM
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谢谢分享.. |
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发表于 13-8-2009 08:12 PM
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谢谢楼主分享 |
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发表于 13-8-2009 09:05 PM
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真得不错~
谢谢分享。 |
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楼主 |
发表于 14-8-2009 07:47 PM
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回复 2# peaceboy,3# 乙劍真人,4# @影子@,5# ~HeBe~_@ 的帖子
不用客气,
不过可以的话,
我想让这个帖子制顶
不然迟点没人会贴,
这样好的东西会被忽略的
希望能够帮到大家. |
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发表于 17-8-2009 04:47 PM
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真的很强，喜欢他的教导方式，哈哈！
学了很多学校和书里学不到的东西。 |
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发表于 18-8-2009 09:42 PM
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有好料？？ 我来了！！
哈哈哈~
谢谢分享，先去看看。 |
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发表于 19-8-2009 05:15 AM
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他大大增强了我对数学的兴趣和通过他，我更加明白之前学的
实在是太赞了，谢谢楼主分享，stpm能拿A了
What other teachers can't teach in a few hours he manages to teach in a few minutes and gives us deep and thorough understanding.
MIT mathematics degree graduate, what a genius
He is one of the best english speakers I've seen and probably the best math teacher |
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发表于 20-8-2009 01:53 PM
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看不懂。LOWER SIX 好像还没到这个LEVEL |
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发表于 20-8-2009 06:38 PM
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我现在明白了数学天才跟普通学生的差别，他们是真正了解!
有了他，每人都能变数学天才！ |
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楼主 |
发表于 20-8-2009 10:28 PM
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我自己本身是看了他的function
才了解整个function的意思
他真得很不错
所以可不可以
再一次请斑竹替我置顶呢？？？
很开心大家都有受惠。 |
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发表于 23-8-2009 08:52 AM
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感谢搂住！
现在明白了很多之前都不明白的东西，哈哈，不必再revise了，已经可以开始教人了，哈哈！什么stpm问题都能搞掂！
不止数学，也学了很多physics的concept，比如thermodynamics.读了两年，现在终于知道charles' law, boyle's law , ideal gas equation怎样跑出来！现在也才知道为何volume increase pressure decrease when no external force is applied. His explanation makes me understand the whole thing better than tuition teachers and school teachers combined = =
All in all, thanks for sharing that! |
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发表于 23-8-2009 12:58 PM
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真的很不错。。。
可是就是缺少了MATH S 的paper 2 |
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楼主 |
发表于 25-8-2009 12:47 AM
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原帖由 chrystalyeoh 于 23-8-2009 12:58 PM 发表 
真的很不错。。。
可是就是缺少了MATH S 的paper 2
也不是没有拉
有statistic和probability嘛~~
linear programming,network planning,time series那些
靠书本应该也能了
不会太难啦
加油咯 |
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发表于 25-8-2009 11:42 AM
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回复 15# 秦雨霖 的帖子
嗯，说的也是。。。
你那么清楚课程的？。。。
难到你也是今年的MATH S考生吗？ |
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发表于 25-8-2009 12:13 PM
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楼主 |
发表于 25-8-2009 04:19 PM
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原帖由 chrystalyeoh 于 25-8-2009 11:42 AM 发表
嗯，说的也是。。。
你那么清楚课程的？。。。
难到你也是今年的MATH S考生吗？
对的
今年
谢谢harry帮我说了。 |
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发表于 25-8-2009 06:13 PM
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原帖由 秦雨霖 于 2009/8/25 12:47 AM 发表
也不是没有拉
有statistic和probability嘛~~
linear programming,network planning,time series那些
靠书本应该也能了
不会太难啦
加油咯
for maths T，差不多每課都有了，除了set theory和deductive geometry |
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楼主 |
发表于 25-8-2009 06:58 PM
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原帖由 darksider 于 25-8-2009 06:13 PM 发表
for maths T，差不多每課都有了，除了set theory和deductive geometry
感觉上
有了sal,
好像都不用补习了
哈哈……
sal 万岁
（知道谁是sal吗？） |
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