HSC Year 12 Mathematics Advanced Calculus
Course

HSC Year 12 Mathematics Advanced – Calculus

3.1 Differentiation
3.2 Application of Differentiation
3.3 Integration
3.4 Application of Integration

30 Lessons

Course Materials

DIFFERENTIATION

Derivative of Sine Functions

Derivatives of Cosine Functions

Derivatives of Tangent Functions

Derivatives of Exponential Functions

Derivatives of Logarithmic Functions

APPLICATION OF DIFFERENTIATION

Increasing and Decreasing Functions

Turning Points

Points of Inflection and Concavity

Curves of Rational Functions

Sketching Graphs Containing Stationary Points

Gradient Functions

Kinematics

INTEGRATION

Basic Integration Rules

Integration of Power Functions

Particular Values

Indefinite Integration by Recognition

Integration of Sine and Cosine

Integration of Exponential Functions

Definite Integral of Exponential Functions

Integration of Rational Functions

Integration by Recognition

Definite Integral of Rational Functions

APPLICATION OF INTEGRATION

Area Under a Curve

Area between Two Functions

Kinematics using Integration

Calculating Integrals using Trapezoidal Rule