Mathematics

1. 1 Functions Notes
   • Polynomial, rational and composite functions
   • Exponential and logarithmic functions
2. 2 Linear Programming Notes
3. 3 Coordinate Geometry Notes
   • Angle between two lines
   • Perpendicular distance
   • Locus of a moving point
   • Ratio theorem
4. 4 Trigonometry Notes
   • Ratios and small angles
   • Compound angles and factor formulae
   • Trigonometric functions and equations
5. 5 Differentiation Notes
   • First principles
   • Power, chain, product and quotient rules
   • Partial derivatives
6. 6 Applications of Differentiation Notes
   • Stationary points
   • Rates of change
   • Small changes
   • Series expansions
7. 7 Integration Notes
   • By parts
   • Substitution
   • Partial fractions
8. 8 Applications of Integration Notes
   • Area enclosed by a curve
   • Volume of a solid of revolution
   • Length of an arc
9. 9 Set Theory Notes
   • Operations
   • Expressions
   • Cardinality
10. 10 Logic Notes
    • Connectives and propositions
    • Arguments
    • Electrical networks

Source: Mathematics Syllabus for Advanced Secondary Education, Form V-VI (TIE 2023). Sub-topic wording follows the syllabus and is checked as each topic's notes are written.