Triple Math

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 (🔴) 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	🟢	🔴	🔴	🔴
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	🟢	🟢	🟡	🟢

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	🟢	🔴	🔴	🔴
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	🟢	🟢	🟡	🟢

H3 Mathematics

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	🟢	🟡

Examinations

H2 Mathematics and H2 Further Mathematics

		9758	9649
JC1	WA 1	🟢	🟢
	WA 2	🟢	🟢
	Promos	🟢	🟢
JC2	WA 1	🟢	🟢
	WA 2	🟢	🟢
	Prelims	🟡	🟢

H3 Mathematics

	9820
Timed Practice 1	🟢
Timed Practice 2	🟢
Timed Practice 3	🟢
Prelims	🟢

Compiling

Prerequisites

To compile triple-math.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 this 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 git@github.com:asdia0/TripleMath.git

2. Create a folder called figures in the root directory. This is where TikZ-generated figures will be stored.
3. Run the following command to compile triple-math.tex:

pdflatex -synctex=1 -interaction=nonstopmode -file-line-error --shell-escape triple-math.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.