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Notes and exercises for A Level H2/3 Mathematics and H2 Further Mathematics.

Contents

A green icon (🟒) indicates the relevant section has been added. A yellow icon (🟑) indicates a work in progress. A red icon (πŸ”΄) indicates there is no such section (e.g. the tutorial does not exist).

Group A

Code Chapter Notes Tutorial Self-Practice Assignment
A1 Equations and Inequalities 🟒 🟒 🟒 🟒
A2 Numerical Methods of Finding Roots 🟒 🟒 🟑 🟒
A3 Sequences and Series I 🟒 🟒 🟒 🟒
A4 Sequences and Series II 🟒 🟒 🟒 🟒
A5 Recurrence Relations 🟒 🟒 🟒 🟒
A6 Polar Coordinates 🟒 🟒 🟒 🟒
A7 Vectors I - Basic Properties and Vector Algebra 🟒 🟒 🟒 🟒
A8 Vectors II - Lines 🟒 🟒 🟒 🟒
A9 Vectors III - Planes 🟒 🟒 🟑 🟒
A10.1 Complex Numbers - Cartesian Form 🟒 🟒 🟑 🟒
A10.2 Complex Numbers - Polar Form 🟒 🟒 🟑 🟒
A10.3 Complex Numbers - Geometrical Effects and De Moivre’s Theorem 🟒 🟒 🟑 🟒
A10.4 Complex Numbers - Loci in Argand Diagram 🟒 🟒 🟑 🟒
A11 Permutations and Combinations 🟒 🟒 🟑 🟒
A12 Probability 🟒 🟒 🟑 🟒
A13 Introduction to Statistics 🟑 πŸ”΄ πŸ”΄ πŸ”΄
A14A Discrete Random Variables 🟑 🟒 🟑 🟒
A14B Special Discrete Random Variables 🟑 🟒 🟑 🟒
A15A Continuous Random Variables 🟑 🟑 🟑 🟑

Group B

Code Chapter Notes Tutorial Self-Practice Assignment
B1 Graphs and Transformations I 🟒 🟒 🟑 🟒
B2 Graphs and Transformations II 🟒 🟒 🟑 🟒
B3 Functions 🟒 🟒 🟑 🟒
B4 Differentiation 🟒 🟒 🟑 🟒
B5 Applications of Differentiation 🟒 🟒 🟑 🟒
B6 MacLaurin Series 🟒 🟒 🟒 🟒
B7 Integration Techniques 🟒 🟒 🟒 🟒
B8 Applications of Integration I - Area and Volume 🟒 🟒 🟑 🟒
B9 Applications of Integration II - Arc Length and Surface Area 🟒 🟒 🟑 🟒
B10 Applications of Integration III - Trapezium and Simpson’s Rule 🟒 🟒 🟑 🟒
B11 Functions of Two Variables 🟒 🟒 🟒 🟒
B12 Separable DE 🟒 🟒 🟑 🟒
B13 Linear First Order DE 🟒 🟒 🟑 🟒
B14 Euler Method and Improved Euler Method 🟒 🟒 🟑 🟒
B15 Modelling Populations with First Order DE 🟒 πŸ”΄ πŸ”΄ πŸ”΄
B16 Second Order DE 🟒 🟒 🟑 🟑
B17A Matrices and Linear Spaces 🟑 🟑 🟑 🟑

H3 Mathematics

Topic Notes Exercises
Mathematical Proofs and Reasoning 🟑 🟑

Examinations

9758 9649
JC1 WA 1 🟒 🟒
WA 2 🟒 🟒
Promos 🟒 🟒 9820
JC2 WA 1 πŸ”΄ πŸ”΄ πŸ”΄
WA 2 πŸ”΄ πŸ”΄ πŸ”΄

Compiling

Prerequisites

To compile TripleMath.tex, ensure that you have $\LaTeX$ installed on your local machine. Additionally, download the asdia.sty package . Follow the installation instructions provided in the repository to set it up correctly.

Steps

  1. Clone the GitHub repository to your local machine. To minimize the size of the .git folder, it’s recommended to use the --depth 1 flag:
git clone --depth 1 [email protected]:asdia0/TripleMath.git
  1. Create a folder called figures in the root directory. This is where TikZ-generated figures will be stored.
  2. Run the following command to compile TripleMath.tex:
pdflatex -synctex=1 -interaction=nonstopmode -file-line-error --shell-escape TripleMath.tex

Note that the first compilation may take some time, as it will generate all TikZ figures in the document. For subsequent compilations, you can omit the --shell-escape flag unless you’ve modified the TikZ code.