DSE Further Mathematics Curriculum Proposal Part 1

之前 EDB 有提及過將現時既 M1 / M2 合併成為 Further Mathematics，但最後就擱置左，但 Jacky Sir 就多年都支持將課程十分割裂既 M1 / M2 合併成為一科，以下就係 Jacky Sir 計劃既 Further Mathematics Syllabus

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!