Course

HSC Maths Extension 1

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22 Lessons

HSC Maths Extension 1 Course

The content of this course and its depth of treatment indicate that it is intended for students who have demonstrated a mastery of the skills of Stage 5 Mathematics and are interested in the study of further skills and ideas in mathematics. The course is intended to give these students a thorough understanding of and competence in aspects of mathematics, including many which are applicable to the real world. It has general educational merit and is also useful for concurrent studies of science, industrial arts and commerce. The course is a recommended minimum basis for further studies in mathematics as a major discipline at a tertiary level and for the study of mathematics in support of the physical and engineering sciences. Although the course is sufficient for these purposes, students of outstanding mathematical ability should consider undertaking the Mathematics Extension 2 course.

The content of this course, which includes the whole of the 2 Unit course, and its depth of treatment as specified in Part A and Part B indicate that it is intended for students who have demonstrated a mastery of the skills included in the School Certificate mathematics course and who are interested in the study of further skills and ideas in mathematics.

The HSC Maths Extension 1 course is intended to give these students a thorough understanding of, and competence in, aspects of mathematics including many which are applicable to the real world.

The course has general educational merit and is also useful for concurrent studies of science, industrial arts and commerce. It is a recommended minimum basis for further studies in mathematics as a major discipline at a tertiary level, and for the study of mathematics in support of the physical and engineering sciences. Although the HSC Maths Extension 1 course is sufficient for these purposes, it is recommended that students of outstanding mathematical ability should consider undertaking the HSC Maths Extension 2.

HSC Maths 2U Topics

Probability > Probability Fundamentals

Probability > Probability Diagrams

Probability > Applications Probability

Probability > Exam Preparation Papers

Series and Applications

Series and Applications > Exam Preparation Papers

Geometrical Applications of Calculus > Properties

Geometrical Applications of Calculus > Maxima and Minima

Geometrical Applications of Calculus > Primitive Functions

Geometrical Applications of Calculus > Exam Preparation Papers

Integration > Fundamentals (Free)

Integration > Applications

Integration > Exam Preparation Papers

Logarithmic and Exponential Functions > Basic Logarithms

Logarithmic and Exponential Functions > Logarithmic Functions

Logarithmic and Exponential Functions > Exponential Functions

Logarithmic and Exponential Functions > Exam Preparation Papers

Trigonometric Functions > Properties

Trigonometric Functions > Circles and Small Angles

Trigonometric Functions > Graphs

Trigonometric Functions > Differentiation

Trigonometric Functions > Integration

Motion > Rates of Change

Motion > Velocity and Acceleration

Motion > Graphs

Motion > Exponential Growth and Decay

HSC Maths Extension 1 Topics

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Mathematical Induction > Fundamentals

Mathematical Induction > Divisibility Proofs

Mathematical Induction - Inequality Proofs

Mathematical Induction > Exam Preparation Papers

Further Calculus > Methods of Integration

Further Calculus > Trigonometric Functions (Free)

Further Calculus > Related Rates of Change

Inverse Functions > Definition

Inverse Functions - Trigonometric Functions

Inverse Functions > Properties

Inverse Functions > Graphs

Inverse Functions > Calculus

Numerical Estimation

Binomial Theorem > Expansion

Binomial Theorem > Properties

Counting Techniques > Factorials

Counting Techniques > Permutations

Counting Techniques > Combinations

Motion > Projectile Motion

Motion > Simple Harmonic Motion

Circle Geometry

Circle Geometry > Exam Preparation Papers