# Stage 2 Mathematical Methods

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31 Lessons

## 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

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8 Lessons

## 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

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16 Lessons

## 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

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6 Lessons

## 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

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16 Lessons

## SACE Stage 2 Mathematical Methods – Continuous Random Variables

5.1 Introduction to Continuous Random Variables 5.2 Normal Distributions 5.3 Sampling

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## 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

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Mathematical Methods develop an increasingly complex and sophisticated understanding of calculus and statistics. By using functions and their derivatives and integrals and by mathematically modelling physical processes, students develop a deep understanding of the physical world through a sound knowledge of relationships involving rates of change. Students use statistics to describe and analyse phenomena that involve uncertainty and variation.

Mathematical Methods provide the foundation for further study in mathematics, economics, computer sciences, and the sciences. It prepares students for courses and careers that may involve statistics, such as health or social sciences. When studied together with Specialist Mathematics, this subject can be a pathway to engineering, physical science, and laser physics.

Source – Subject Outline, South Australian Certificate of Education 2023