Course

HSC Maths Extension 2

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26 Lessons

Introduction of HSC Maths Extension 2

The HSC Maths Extension 2 course is defined in the same terms as the HSC Maths Extension 1 Course in other subjects. Thus it offers a suitable preparation for study of the subject at tertiary level, as well as a deeper and more extensive treatment of certain topics than is offered in other Mathematics courses.

This syllabus is designed for students with a special interest in mathematics who have shown that they possess special aptitude for the subject. It represents a distinctly high level in school mathematics involving the development of considerable manipulative skill and a high degree of understanding of the fundamental ideas of algebra and calculus. These topics are treated in some depth. Thus the course provides a sufficient basis for a wide range of useful applications of mathematics as well as an adequate foundation for the further study of the subject.

Aims and Objectives

The Board of Secondary Education recognises that the aims and objectives of the syllabus may be achieved in a variety of ways and by the application of many different techniques. Success in the achievement of these aims and objectives is the concern of the Board which does not, however, either stipulate or evaluate specific teaching
methods. The general aim is to present mathematics as a living art which is intellectually exciting, aesthetically satisfying, and relevant to a great variety of practical situations.
Specific aims of the course are:

  • To offer a program that will be of interest and value to students with the highest levels of mathematical ability at the stage of the Higher School Certificate and which will present some challenge to such students.
  • To study useful and important mathematical ideas and techniques appropriate to these levels of ability.
  • To develop both an understanding of these ideas and techniques and an ability to apply them to the study and solution of a wide variety of problems.
  • To provide the mathematical background necessary for further studies in mathematics, and useful for concurrent study of subjects such as science, economics and industrial arts.

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

US$16 - Purchase This Course

Sketching Graphs > Sketching Graphs Fundamentals

Sketching Graphs > Operations

Sketching Graphs > Transformations

Sketching Graphs > Controls

Sketching Graphs > Exam Preparation Papers

Complex Numbers > Fundamentals

Complex Numbers > Geometrical Representations

Complex Numbers > Exam Preparation Papers

Conics > Equations of Ellipse

Conics > Tangents and Normals to Ellipse

Conics > Hyperbola

Conics > Rectangular Hyperbola

Integration > Basic Techniques

Integration > Trigonometric Functions

Integration > Integration by Parts (Free)

Integration > Recurrence Formula Reduction Formula

Volumes > Slicing Method

Volumes > Cylindrical Shells Method

Volumes > Parallel Cross Sections

Mechanics > Basic Dynamics

Mechanics > Resisted Motion

Mechanics > Uniform Circular Motion

Mechanics > Banked Tracks

Polynomials > Remainder and Factor Theorems

Polynomials > Properties

Miscellaneous Topics > Inequalities