HSC Mathematics Extension 1
HSC Mathematics Extension 1 Course Description (3 Unit) = 2 Unit + Extra
2 Unit
The mathematics 2 Unit Syllabus has been divided into a Preliminary course and an HSC course as follows:
Preliminary Course
HSC Course
Extra:
Preliminary Course
HSC Course
HSC Mathematics Extension 1 Past Paper:
2 Unit
The mathematics 2 Unit Syllabus has been divided into a Preliminary course and an HSC course as follows:
Preliminary Course
- Basic arithmetic and algebra (1.1–1.4)
- Real functions (4.1–4.4)
- Trigonometric ratios (5.1–5.5)
- Linear functions (6.1–6.5, 6.7)
- The quadratic polynomial and the parabola (9.1–9.5)
- Plane geometry – geometrical properties (2.1–2.4)
- Tangent to a curve and derivative of a function (8.1–8.9)
HSC Course
- Coordinate methods in geometry (6.8)
- Applications of geometrical properties (2.5)
- Geometrical applications of differentiation (10.1–10.8)
- Integration (11.1–11.4)
- Trigonometric functions (including applications of trigonometric ratios) (13.1–13.6, 13.7)
- Logarithmic and exponential functions (12.1–12.5)
- Applications of calculus to the physical world (14.1–14.3)
- Probability (3.1–3.3)
- Series (7.1–7.3) and Series applications (7.5)
Extra:
Preliminary Course
- Other inequalities (1.4 E)
- Circle geometry (2.6–2.10)
- Further trigonometry (sums and differences, t formulae, identities and equations) (5.6–5.9)
- Angles between two lines (6.6)
- Internal and external division of lines into given ratios (6.7 E)
- Parametric representation (9.6)
- Permutations and combinations (18.1)
- Polynomials (16.1–16.3)
- Harder applications of the Preliminary 2 Unit course
HSC Course
- Methods of integration (11.5)
- Primitive of sin 2x and cos 2x (13.6 E)
- Equation dN/dt = k(N – P) (14.2 E)
- Velocity and acceleration as a function of x (14.3 E)
- Projectile motion (14.3 E)
- Simple harmonic motion (14.4)
- Inverse functions and inverse trigonometric functions (15.1–15.5)
- Induction (7.4)
- Binomial theorem (17.1–17.3)
- Further probability (18.2)
- Iterative methods for numerical estimation of the roots of a polynomial equation (16.4)
- Harder applications of HSC 2 Unit topics (including 10.5 E, 13.4 E, 14.1 E)
HSC Mathematics Extension 1 Past Paper: