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