DSE M2 Revision Notes
1. Mathematical Induction (p.3)
- Principle + 3 classic question types
2. Binomial Theorem (p.7)
- General term, coefficient finding
3. Trigonometry for Calculus (p.10)
- Limits: sinx/x, 1-cosx/x
4. Differentiation Techniques (p.15)
- Chain rule, implicit diff, log diff
5. Application of Differentiation (p.22)
- Max/min, concavity, tangent
6. Integration Techniques (p.30)
- By parts, substitution, reduction formula
7. Vectors (p.38)
- Dot/cross, area of triangle, line & plane equations
8. Matrix & System of Equations (p.45)
- Inverse, Cramer's rule, Gaussian elimination
9. Past Paper Trend Analysis (p.50)
10. Formula Summary (p.55)
Key Content:
DSE Focus: Word problems leading to 3 linear equations. dse m2 notes pdf
Based on Hong Kong student forums (including LIHKG, DSE00, and Reddit’s r/HKDSE), here are the most recommended sources. DSE M2 Revision Notes 1
Understanding the behavior of functions as $x$ approaches a value or infinity. Key Content:
Standard Limits (Must Memorize):
L’Hôpital’s Rule: If $\lim_x \to a \fracf(x)g(x)$ results in $\frac00$ or $\frac\infty\infty$, then: $$\lim_x \to a \fracf(x)g(x) = \lim_x \to a \fracf'(x)g'(x)$$
When downloading or creating notes, ensure the following six major areas are comprehensively covered. The DSE exam weighting is roughly 60% Calculus and 40% Algebra, but both are critical.