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Breakthrough Diploma Mathematics for HKDSE 文憑數學新突破
Book A 甲部
1 - Numbers, Approximation and Estimation
2 - Simple Equalities and Quadratic Equations
3 - Functions and Graphs
4 - Polynomials
5 - Ratio and Variations
6 - Percentages
7 - Inequalities
8 - Symmetry and Transformation
9 - Plane Geometry (1)
10 - Plane Geometry (2)
11 - Trigonometry (1)
12 - Mensuration
13 - Coordinate Geometry (1)
14 - Probability (1)
15 - Statistics
16 - Statistical Survey
17 - Further Applications, Inquiry and Investigation (1)
1 - 數、近似值與估算
2 - 簡易等式與二次方程
3 - 函數及其圖像
4 - 多項式
5 - 比及變分
6 - 百分法
7 - 不等式
8 - 對稱及變換
9 - 平面幾何 (1)
10 - 平面幾何 (2)
11 - 三角 (1)
12 - 求積法
13 - 坐標幾何 (1)
14 - 概率 (1)
15 - 統計
16 - 統計調查
17 - 數學的進一步應用、探索與研究 (1)

Book B 乙部
18 - Trigonometry (2)
19 - Coordinate Geometry (2)
20 - Exponential and Logarithmic Functions
21 - Quadratic Equations with Complex Roots
22 - More about Equations and Graphs of Functions
23 - Arithmetic and Geometric Sequences
24 - Linear Programming
25 - Permutation and Combination
26 - Probability (2)
27 - Further Applications, Inquiry and Investigation (2)
18 - 三角 (2)
19 - 坐標幾何 (2)
20 - 指數和對數函數
21 - 含複數根的二次方程
22 - 續方程及函數的圖像
23 - 等差與等比數列
24 - 線性規劃
25 - 排列與組合
26 - 概率 (2)
27 - 數學的進一步應用、探索與研究 (2)

Multiple Choice 選擇題
1 - Numbers, Approximation and Estimation
2 - Simple Equalities and Quadratic Equations
3 - Functions and Graphs
4 - Polynomials
5 - Ratio and Variations
6 - Percentages
7 - Inequalities
8 - Symmetry and Transformation
9 - Plane Geometry (1)
10 - Plane Geometry (2)
11 - Trigonometry (1)
12 - Mensuration
13 - Coordinate Geometry (1)
14 - Probability (1)
15 - Statistics
16 - Statistical Survey
17 - Further Applications, Inquiry and Investigation (1)
18 - Trigonometry (2)
19 - Coordinate Geometry (2)
20 - Exponential and Logarithmic Functions
21 - Quadratic Equations with Complex Roots
22 - More about Equations and Graphs of Functions
23 - Arithmetic and Geometric Sequences
24 - Linear Programming
25 - Permutation and Combination
26 - Probability (2)
27 - Further Applications, Inquiry and Investigation (2)
1 - 數、近似值與估算
2 - 簡易等式與二次方程
3 - 函數及其圖像
4 - 多項式
5 - 比及變分
6 - 百分法
7 - 不等式
8 - 對稱及變換
9 - 平面幾何 (1)
10 - 平面幾何 (2)
11 - 三角 (1)
12 - 求積法
13 - 坐標幾何 (1)
14 - 概率 (1)
15 - 統計
16 - 統計調查
17 - 數學的進一步應用、探索與研究 (1)
18 - 三角 (2)
19 - 坐標幾何 (2)
20 - 指數和對數函數
21 - 含複數根的二次方程
22 - 續方程及函數的圖像
23 - 等差與等比數列
24 - 線性規劃
25 - 排列與組合
26 - 概率 (2)
27 - 數學的進一步應用、探索與研究 (2)


Module 1 單元 1
0 - Basic Terms and Mathematical Logic
1 - Binomial Expansions for Positive Integral Indices
2 - Limits and Continuity of Functions
3 - Exponential and Logarithmic Functions
4 - Methods of Differentiation
5 - Applications of Differentiation
6 - Indefinite Integration
7 - Definite Integration
8 - Conditional Probability and Bayes' Theorem
9 - Discrete Random Variables and Probability Distribution
10 - Some Special Discrete Probability Distributions
11 - The Normal Distribution
12 - Point and Interval Estimation
0 - 基本術語及數學邏輯
1 - 指數為正整數的二項展式
2 - 函數的極限與連續性
3 - 指數函數及對數函數
4 - 求導數的法則
5 - 求導法的應用
6 - 不定積分法
7 - 定積分法
8 - 條件概率及貝葉斯定理
9 - 離散隨機變量及概率分佈
10 - 一些特殊的離散概率分佈
11 - 正態分佈
12 - 點及區間估計

Module 2 單元 2
0 - Basic Terms and Mathematical Logic
1 - Mathematical Induction
2 - Binomial Theorem with Positive Integral Indices
3 - Trigonometry
4 - Limits and Continuity of Functions
5 - Methods of Differentiation
6 - Applications of Differential Calculus
7 - Indefinite Integration
8 - Definite Integration
9 - Applications of Definite Integration
10 - Determinants and Matrices
11 - Systems of Linear Equations
12 - Vectors and Their Applications
0 - 基本術語及數學邏輯
1 - 數學歸納法
2 - 指數為正整數的二項式
3 - 三角學
4 - 函數的極限與連續性
5 - 求導數的法則
6 - 求導法的應用
7 - 不定積分法
8 - 定積分法
9 - 定積分法的應用
10 - 行列式及矩陣
11 - 線性方程組
12 - 向量及其應用