STPM Further Mathematics

Note: 13 - 16 are statistic topics

1. Logic and Proof

2. Complex Numbers
Polar form
de Moivre´s theorem
Equations

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

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

Updated On: 07.11.01