Year 12 Maths Advanced

Year 12, 2 UNITS MATHS – ADVANCED

Term 1
Week 1 — Sinusoids and Transformations
Week 2 — Trigonometric Equations
Week 3 — Differentiation (I): Trigonometric Functions
Week 4 — Differentiation (II): Exponential and Logarithmic Functions
Week 5 — Review and Consolidation
Week 6 — Applications of Differentiation (I): Stationary Points, and the Second Derivative
Week 7 — Applications of Differentiation (II): Maxima, Minima, and Curve Sketching
Week 8 — Applications of Differentiation (III): Optimization
Week 9 — Integration (I): Indefinite Integral, and the Primitive Function
Week 10 — Integration (II): Definite Integrals

Term 2
Week 1 — Definite Integrals (I): Fundamental Theorem of Calculus
Week 2 — Definite Integrals (I): Finding Areas Bound by Curves
Week 3 — Numerical Integration: The Trapezoidal Rule
Week 4 — Applications of Calculus (I): Rates Of Change
Week 5 — Applications of Calculus (II): Displacement, Velocity and Acceleration
Week 6 — Applications of Calculus (III): Further Displacement, Velocity And Acceleration
Week 7 — Sequences and Series (I): Arithmetic and Geometric Progression
Week 8 — Sequences and Series (II): Applications of AP and GP
Week 9 — Financial Mathematics: Superannuation and Time-Repayment
Week 10 — Statistical Analysis (I): Introduction to Statistics

Term 3
Week 1 — Statistical Analysis (II): Organising Data for Analysis
Week 2 — Bivariate Data Analysis (I): Measure of Central Tendency and Spread
Week 3 — Bivariate Data Analysis (II): Measure of Positions
Week 4 — Continuous Random Variables and Normal Distribution
Week 5 — Bivariate Data Analysis (III)
Week 6 — General Revision (I)
Week 7 — General Revision (II)
Week 8 — Trial Examination (I)
Week 9 — Trial Examination (II)
Week 10 — Trial Examination (III)