首先,同其他 electives 一樣,Further Mathematics 都係分為 Compulsory Part 同埋 Elective Part,Compulsory Part 就會 focus on bridge from Maths Core 同埋高等數學既 foundation knowledge 同埋高等數學最重要既 calculus(就好似 M1 / M2 都有 calculus 咁),而 Elective Part 就係三揀一:
- 第一個係 Algebra,呢個 elective part 同 M2 既 Algebra Part 一樣,不過主要多左 Complex numbers(而呢課亦係 EDB 早前提出既 Further Mathematics 課程一樣~)
- 第二個係 Statistics,呢個 elective part 同 M1 既 Statistics Part 一樣,不過主要多左 Hypothesis testing
- 第三個係 Decision Mathematics,呢個 elective part 就係新制及舊制均未出現,但現時香港重視 STEM,而 Decision Mathematics 既 skills 係處理唔同問題及 programming 都會好有用,所以作為新生代既課程,包括呢一個 elective part 係大勢所趨
詳細既 Learning units 及教學時數如下:
Foundation
Knowledge Area
1.
More about functions
2.
The principle of mathematical
induction
3.
The binomial theorem
4.
More about rational functions
5.
More about trigonometry
6.
More about exponential
functions and logarithmic functions
7.
The polar coordinate system
Total
|
5
5
6
4
17
7
6
50
|
Calculus
Area
8.
Limits and continuity
9.
Differentiation
10. Applications of differentiation
11. Indefinite integration
12. Definite integration
13. Numerical integration
14. First-order differential equations
15. Analytic geometry
Total
|
7
14
16
17
15
6
14
21
110
|
Elective
Module 1 – Algebra Area
16. Matrices and determinants
17. Systems of linear equations
18. Vectors
19. Complex numbers
Total
|
13
6
34
22
75
|
Elective
Module 2 – Statistics Area
20. More about probabilities
21. Discrete random variables and probability distributions
22. The binomial, geometric and Poisson distributions
23. Continuous random variables and probability distributions
24. Sampling distribution and point estimates
25. Confidence intervals and hypothesis testing
Total
|
6
8
20
22
7
12
75
|
Elective
Module 3 – Decision Mathematics Area
26. Divisibility, greatest common divisor and Diophantine equations
27. Introduction to modular arithmetic
28. Recurrence relations
29. Introduction to algorithms
30. Algorithms in graphs
31. Introduction to game theory
Total
|
8
15
11
8
17
16
75
|
Inquiry
and investigation
|
15
|
Total
|
250
|
之後既 posts 會再詳細講下每個 learning units 既內容架!密切留意!
大家有意見既話都可以同我講架!
Thanks for your attention!
沒有留言:
發佈留言