6.1 Implicit Differentiation
6.2 Differential Equations
6.3 Pairs of Varying Quantities – Polynomials
6.4 Related Rates, Velocity and Tangents
6.5 Trigonometric Parameterisations
Archives: Courses
SACE Stage 2 Specialist Mathematics – Rates of Change and Differential Equations
SACE Stage 2 Specialist Mathematics – Integration Techniques and Applications
5.1 Integration Techniques
5.2 Applications of Integral Calculus
SACE Stage 2 Specialist Mathematics – Vectors in Three Dimensions
4.1 The Algebra of Vectors in Three Dimensions
4.2 Vector and Cartesian Equations
4.3 Sydtems of Linear Equations
SACE Stage 2 Specialist Mathematics – Functions and Sketching Graphs
3.1 Composition of functions
3.2 One-to-One Functions
3.3 Sketching Graphs
SACE Stage 2 Specialist Mathematics – Complex Numbers
2.1 Cartesian and Polar Forms
2.2 The Complex (Argand) Plane
2.3 Roots of Complex Numbers
2.4 Factorisation of Polynomials
SACE Stage 2 Specialist Mathematics – Mathematical Induction
1.1 Proof my Mathematical Induction
1.2 Divisibility Proof
1.3 Inequality Proof
SACE Stage 2 Mathematical Methods – Sampling and Confidence Intervals
6.1 Confidence Intervals for a Population Mean
6.2 Population Properteis
6.3 Confidence Intervals for a Population Proportion
SACE Stage 2 Mathematical Methods – Continuous Random Variables
5.1 Introduction to Continuous Random Variables
5.2 Normal Distributions
5.3 Sampling
SACE Stage 2 Mathematical Methods – Logarithmic Functions
4.1 Using Logarithms for Solving Exponential Equations
4.2 Logarithmic Functions and their Graphs
4.3 Calculus of Logarithmic Functions
SACE Stage 2 Mathematical Methods – Integral Calculus
3.1 Anti-Differentiation
3.2 The Area under Curves
3.3 Fundamental Theorem of Calculus
3.4 Applications of Integration
SACE Stage 2 Mathematical Methods – Discrete Random Variables
2.1 Discrete Random Variables
2.2 The Bernoulli Distribution
2.3 Repeated Bernoulli Trials and the Binomial Distribution
SACE Stage 2 Mathematical Methods – Further Differentiation and Applications
1.1 Introductory Differential Calculus
1.2 Differential Rules
1.3 Exponential Functions
1.4 Trigonometric functions
1.5 The Second Derivative
SACE Stage 2 General Mathematics – Discrete Models
5.1 Critical Path Analysis
5.2 Assignment Problems
SACE Stage 2 General Mathematics – Financial Models
4.1 Models for Saving
4.2 Models for Borrowing
SACE Stage 2 General Mathematics – Statistical Models
3.1 Bivariate Statistics
3.2 The Normal Distribution
SACE Stage 2 General Mathematics – Modelling with Matrices
2.1 Application of Matrices to Network Problems
2.2 Application of Matrices to Transition Problems
SACE Stage 2 General Mathematics – Modelling with Linear Relationship
1.1 Simultaneous Linear Equations
1.2 Linear Programming
SACE Stage 2 Essential Mathematics – Investments and Loans
5.1 Lump-Sum Investments
5.2 Annuity Investments
5.3 Loan Annuities
SACE Stage 2 Essential Mathematics – Statistics
4.1 Sampling from Populations
4.2 Analysiis and Representation of Sets od Data
4.3 Linear Correlation