Further Mathematics T Paper 1 讨论专区

~HeBe~_@

Further Mathematics T Paper 1 讨论专区


看到大家那么努力把STPM区搞好。
有如：
华文讨论专区、 生物讨论区 等。

我用google search来search，结果好像没有任何人可以分享历年的考题。

不过，当年我很努力地亲手 到处 寻找 Further Mathematics T资料。

我会列出
STPM Mathematics T (also known as Pure Mathematics) Syllabus
STPM Mathematics S (also known as Statistical Mathematics) Syllabus
STPM Further Mathematics Syllabus

我手中有历年的Further Mathematics T Paper 1考卷。
1979-1988 Model Answer
1991年至2000年； 2005年
得空的时候，我会Scan出来给大家做。
我会附上解答。

希望这些可以帮到考生们。

P/S:
若有人想放出 FM 的练习题或考题，欢迎欢迎~  
但是，我将不去解答，因为我 工作了，没时间。
希望有同志们可以帮到你们。

即将登场~

[ 本帖最后由 ~HeBe~_@ 于 27-6-2009 10:58 PM 编辑 ]

~HeBe~_@

Please take note that the first eight topics (Paper 1) of Maths T and Maths S are the same. Besides, Maths T and Maths S are mutually exclusive. In other words, a STPM candidate cannot take both subjects at the same time. Maths T is taken by most science stream stuedents whereas Maths S is taken by some art stream students. Meanwhile, Further Maths is taken as the optional fifth subject by some science stream students.

STPM Mathematics T (also known as Pure Mathematics) Syllabus

• Numbers and Sets
  Real numbers
  Exponents and logarithms
  Complex numbers
  Sets
• Polynomials
  Polynomials
  Equations and inequalities
  Partial fractions
• Sequences and Series
  Sequences
  Series
  Binomial expansions
• Matrices
  Matrices
  Inverse matrices
  System of linear equations
• Coordinate Geometry
  Cartesian coordinates in a plane
  Straight lines
  Curves
• Functions
  Functions and graphs
  Composite functions
  Inverse functions
  Limit and continuity of a function
• Differentiation
  Derivative of a function
  Rules for differentiation
  Derivative of a function defined implicitly or parametrically
  Applications of differentiation
• Integration
  Integral of a function
  Integration techniques
  Definite integrals
  Applications of integration
• Differential Equations
  Differential equations
  First order differential equations with separable variables
  First order homogeneous differential equations
• Trigonometry
  Solution of a triangle
  Trigonometric formulae
  Trigonometric equations and inequalities
• Deductive Geometry
  Axioms
  Polygons
  Circles
• Vectors
  Vectors
  Applications of vectors
• Data Description
  Representation of data
  Measures of location
  Measures of dispersion
• Probability
  Techniques of counting
  Events and probabilities
  Mutually exclusive events
  Independent and conditional events
• Discrete Probability Distributions
  Discrete random variables
  Mathematical expectation
  The binomial distribution
  The Poisson distribution
• Continuous Probability Distributions
  Continuous random variable
  Probability density function
  Mathematical expectation
  The normal distribution

~HeBe~_@

STPM Mathematics S (also known as Statistical Mathematics) Syllabus

• Numbers and Sets
  Real numbers
  Exponents and logarithms
  Complex numbers
  Sets
• Polynomials
  Polynomials
  Equations and inequalities
  Partial fractions
• Sequences and Series
  Sequences
  Series
  Binomial expansions
• Matrices
  Matrices
  Inverse matrices
  System of linear equations
• Coordinate Geometry
  Cartesian coordinates in a plane
  Straight lines
  Curves
• Functions
  Functions and graphs
  Composite functions
  Inverse functions
  Limit and continuity of a function
• Differentiation
  Derivative of a function
  Rules for differentiation
  Derivative of a function defined implicitly or parametrically
  Applications of differentiation
• Integration
  Integral of a function
  Integration techniques
  Definite integrals
  Applications of integration
• Linear Programming
• Network Planning
• Data Description
• Probability
• Probability Distributions
• Sampling and Estimation
• Correlation and Regression
• Time Series and Index Number

~HeBe~_@

STPM Further Mathematics Syllabus
Note: 13 - 16 are statistic topics

• Logic and Proof
• Complex Numbers
  Polar form
  de Moivre's theorem
  Equations
• Matrices
  Row & Columns operations
  System of linear equations
  eigenvalues & eigenvectors
• Recurrence Relations
  Recurrence relations
  Homogeneous  linear recurrence relations
  Non-homogenous linear recurrence relations
• Functions
  Inverse trigonometric functions
  Hyperbolic functions
  Inverse hyperbolic functions
• Differentiation and Integration
• Power Series
  Taylor Polynomials
  Taylor Series
• Differential Equations
• Number Theory
  Divisibility
  Modular Arithmetic
• Graph Theory
  Graphs
  Paths & Cycles
  Matrix Representations
• Transformation Geometry
  Transformation
  Matrix Representations
• Coordinate Geometry
  Three-Dimensional vectors
  Straight Lines
  Planes
• Sampling and Estimation
  Random samples
  Sampling Distributions
  Point Estimates
  Interval Estimates
• Hypothesis Testing
  Hypotheses
  Critical Regions
  Tests of Significance
• χ² Tests
  χ² distributions
  Tests for goodness of fit
  Tests for Independence
• Correlation and Regression
  Scatter Diagrams
  Pearson correlation coefficient
  Linear Regression Lines

笨蛋一个

历年考题可以来这里拿
http://cwooi.com/index.php?optio ... unc=select&id=2

个人猜想明年这一科应该绝种了

~HeBe~_@

这个的历年考卷是从1999年开始直到现今。
1979-1988 Model Answer
我的是从1991年至2000年； 2005年

绝种了？
怎么说？哪里来的消息？原因是什么？

[ 本帖最后由 ~HeBe~_@ 于 28-6-2009 02:40 AM 编辑 ]

笨蛋一个

越来越少人拿，而且明年应该换syllabus了，很大的可能会被废掉

~HeBe~_@

这个消息是从官方得来的吗？
哪里来的消息？^^
若是真的？不是很惨吗？

harry_lim

原帖由 ~HeBe~_@ 于 18-6-2009 12:32 PM 发表

[quote]

Sampling and Estimation
Random samples
Sampling Distributions
Point Estimates
Interval Estimates

。。。。

Correlation and Regression
Scatter Diagrams
Pearson correlation coefficient
Linear Regression Lines

请问下
这两课跟math S的一样吗？
如果是一样。。。那么就大概大概的教我吧

笨蛋一个

很多老师说今年是最后一年用旧的syllabus，而且要换semester system了，所以我想fm应该不能幸免吧。

没有官方消息，听来的 所以有可能是错的

笨蛋一个

一样的

~HeBe~_@

大同小异。。。。。
^^

harry_lim

原帖由 笨蛋一个 于 18-6-2009 09:03 PM 发表
一样的

噢
很难吗？

原帖由 ~HeBe~_@ 于 18-6-2009 09:06 PM 发表
大同小异。。。。。
^^

哦～可以简单的教我吗？

~HeBe~_@

我唯有说：“对不起”

若要教，真的不简单教，
我没时间去温习以前所学的，更何况现在的工作忙得我团团转。。。
中学的校务太多了。。
不好意思。你问问那些正拿着的人。。。。

P/S:
若有人想放出 FM 的练习题或考题，欢迎欢迎~  
但是，我将不去解答，因为我 工作了，没时间。
希望有同志们可以帮到你们。

~HeBe~_@

原来如此。。。。。
那。。看看明年怎样了。。^^

~HeBe~_@

心血来潮。。。
今天我来介绍Remainder Theorem。
很多的Math S or T 生只学到一个Remainder Theorem..
^^
我教多你们一个Theorem.
你们学过第一个，但是没学过 第二个。

Remainder Theorem
1.
If a polynomial f(x) is divided by x -a, the remainder is f(a).
i.e. f(x) = (x - a)q(x) + f(a)

As a consequence of this theorem,
it follows that if f(a) = 0, then (x - a) is a factor of f(x).

2.
If a polynomial f(x) is divided by (x - a)^2,
the remainder is f'(a)(x -a) + f(a).
i.e. f(x) = q(x)(x - a)^2 + f'(a)(x - a) + f(a)

If f'(a) = f(a) = 0, then (x - a) is a repeated factor of f(x).

芭樂

看了不明白哈哈

~HeBe~_@

再读多几遍就明白了咯....
xexexe....
若还是不明白，我才给例子。

~HeBe~_@

这里要update一些资料：

政府考生若要报考STPM Further Mathematics T, 你得是理科生。
私人重考生若要报考STPM Futher Mathematics T, 你得以前是理科生，
重考的同一时，你得多报考 Maths T, 才能允许你报考 Further Maths T.

darksider

咳!
f'(a)是不是differentiated 的 function?