Notes and exercises for A Level H2/3 Mathematics and H2 Further Mathematics.
A green icon (🟢) indicates the relevant section has been added. A yellow icon (🟡) indicates a work in progress. A red icon (🔴) indicates there is no such section (e.g. the tutorial does not exist).
| 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 | 🟢 | 🔴 | 🔴 | 🔴 |
| A14A | Discrete Random Variables | 🟢 | 🟢 | 🟡 | 🟢 |
| A14B | Special Discrete Random Variables | 🟢 | 🟢 | 🟡 | 🟢 |
| A15A | Continuous Random Variables | 🟢 | 🟢 | 🟡 | 🟢 |
| A15B | Special Continuous Random Variables | 🟢 | 🟢 | 🟡 | 🟢 |
| A16 | Sampling | 🟢 | 🟢 | 🟡 | 🟢 |
| A17 | Confidence Intervals | 🟢 | 🟢 | 🟡 | 🟢 |
| A18A | Hypothesis Testing I - Single Value | 🟢 | 🟢 | 🟡 | 🟢 |
| A18B | Hypothesis Testing II - Two Values | 🟢 | 🟢 | 🟡 | 🟢 |
| A18C | Hypothesis Testing III - Goodness-of-Fit and Independence | 🟢 | 🟢 | 🟡 | 🟢 |
| 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 | 🟢 | 🔴 | 🔴 | 🔴 |
| B16 | Second Order DE | 🟢 | 🟢 | 🟡 | 🟢 |
| B17A | Linear Algebra - Matrices | 🟢 | 🟢 | 🟢 | 🟢 |
| B17B | Linear Algebra - Linear Spaces | 🟢 | 🟢 | 🟢 | 🟢 |
| B17C | Linear Algebra - Eigenvalues and Eigenvectors | 🟢 | 🟢 | 🟢 | 🟢 |
| B18 | Correlation and Regression | 🟢 | 🟢 | 🟡 | 🟢 |
| B19 | Non-Parametric Tests | 🟢 | 🟢 | 🟡 | 🟢 |
| Topic | Notes | Tutorials |
|---|---|---|
| Mathematical Proofs and Reasoning | 🟢 | 🟢 |
| Analysis 1.1 - Functions and Graphs | 🟢 | 🟢 |
| Analysis 1.2 - Differentiation | 🟢 | 🟢 |
| Analysis 1.3 - Integration | 🟢 | 🟢 |
| Analysis 1.4 - Differential Equations | 🟢 | 🟢 |
| Analysis 2.1 - Limits | 🟢 | 🟢 |
| Analysis 2.2 - Sequences and Series | 🟢 | 🟢 |
| Analysis 3 - Inequalities | 🟢 | 🟢 |
| Analysis 4 - Complex Numbers | 🟢 | 🟢 |
| Counting 1 - Bijection Principle | 🟢 | 🟢 |
| Counting 2 - Inclusion-Exclusion | 🟢 | 🟢 |
| Counting 3 - Recurrence Relations | 🟢 | 🟡 |
| Counting 4 - Probability | 🟢 | 🟡 |
| 9758 | 9649 | ||
|---|---|---|---|
| JC1 | WA 1 | 🟢 | 🟢 |
| WA 2 | 🟢 | 🟢 | |
| Promos | 🟢 | 🟢 | |
| JC2 | WA 1 | 🟢 | 🟢 |
| WA 2 | 🟢 | 🟢 | |
| Prelims | 🟡 | 🟢 |
| 9820 | |
|---|---|
| Timed Practice 1 | 🟢 |
| Timed Practice 2 | 🟢 |
| Timed Practice 3 | 🟢 |
| Prelims | 🟢 |
To compile triple-math.tex, ensure that you have asdia.sty package. Follow the installation instructions provided in the repository to set it up correctly.
- Clone this repository to your local machine. To minimize the size of the
.gitfolder, it’s recommended to use the--depth 1flag:
git clone --depth 1 git@github.com:asdia0/TripleMath.git- Create a folder called
figuresin the root directory. This is where TikZ-generated figures will be stored. - Run the following command to compile
triple-math.tex:
pdflatex -synctex=1 -interaction=nonstopmode -file-line-error --shell-escape triple-math.texNote 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.