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发表于 13-9-2010 11:02 PM
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回复 20# yw46
话说number and theory和logic and proof很重要下... |
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发表于 13-9-2010 11:09 PM
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回复 21# kelfaru
Paper 1 Syllabus:
1. Logic and proof 
2. Complex numbers 可以用来solve一些,但一定会有一些alternative solution不用用到complex number的
3. Matrices 没有用
4. Recurrence relations
5. Functions
6. Differentiation and integration 没有用
7. Power series
8. Differential equations 没有用
paper 1 50%没有用(和奥数无关),另一个paper 100%没有用
所以FMT只是25%和奥数有关 |
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发表于 13-9-2010 11:15 PM
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回复 22# yw46
number and theory没用吗??? |
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发表于 13-9-2010 11:17 PM
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回复 23# kelfaru
FMT有number theory么? |
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发表于 13-9-2010 11:20 PM
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回复 24# yw46
有啊...
应该在paper 2的... |
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发表于 13-9-2010 11:28 PM
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回复 25# kelfaru
啊找到了
STPM Further Mathematics Syllabus (thanks to Ru7h)
Note: 13 - 16 are statistic topics
1 Logic and Proof
2 Complex Numbers
Polar form
de Moivre's theorem
Equations (不会也无所谓)
3 Matrices
Row & Columns operations
System of linear equations
eigenvalues & eigenvectors
4 Recurrence Relations
Recurrence relations
Homogeneous linear recurrence relations
Non-homogenous linear recurrence relations
5 Functions
Inverse trigonometric functions
Hyperbolic functions
Inverse hyperbolic functions
6 Differentiation and Integration
7 Power Series
Taylor Polynomials
Taylor Series
8 Differential Equations
9 Number Theory
Divisibility
Modular Arithmetic
10 Graph Theory
Graphs
Paths & Cycles
Matrix Representations
11 Transformation Geometry
Transformation
Matrix Representations
12 Coordinate Geometry
Three-Dimensional vectors
Straight Lines
Planes (不会也无所谓)
13 Sampling and Estimation
Random samples
Sampling Distributions
Point Estimates
Interval Estimates
14 Hypothesis Testing
Hypotheses
Critical Regions
Tests of Significance
15 χ² Tests
χ² distributions
Tests for goodness of fit
Tests for Independence
16 Correlation and Regression
Scatter Diagrams
Pearson correlation coefficient
Linear Regression Lines |
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发表于 13-9-2010 11:30 PM
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小弟认为recurrence relations很重要下...话说FMT的 number theory 没有diophantine solutions吗? |
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发表于 15-9-2010 08:31 PM
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同意ywlim的说法，fmt对奥数没什么用
拿过fmt,参加过奥数
fmt的number theory syllabus的水准对奥数来说是小菜半碟 |
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发表于 13-1-2011 04:39 PM
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