# 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

#### Integration > Exam Preparation Papers

- Integration > Exam Preparation Paper 1
- Integration > Exam Preparation Paper 2
- Integration > Exam Preparation Paper 3
- Integration > Exam Preparation Paper 4
- Integration > Exam Preparation Paper 5
- Integration > Exam Preparation Paper 6
- Integration > Exam Preparation Paper 7
- Integration > Exam Preparation Paper 8
- Integration > Exam Preparation Paper 9

#### Trigonometric Functions > Differentiation

- Differentiation of Sine Function : Chain Rule
- Differentiation of Sine Function : Product Rule
- Differentiation of Sine Function : Quotient Rule
- Differentiation of Cosine Function : Chain Rule
- Differentiation of Cosine Function : Product Rule
- Differentiation of Cosine Function : Quotient Rule
- Differentiation of Tangent Function
- Differentiation of Degrees
- Applications of Differentiation

# HSC Maths Extension 1 Topics

#### Course Materials

#### Circle Geometry

- Arcs, Angles and Chords
- Angle at the Circumference
- Chords and Centres
- Equidistant from the Centres
- Cut Internally and Externally
- Angles in the Same Segment
- Angle in a Semi-Circle
- Opposite Angles of a Cyclic Quadrilateral
- Exterior Angle of a Cyclic Quadrilateral
- Tangent to a Circle
- Alternate Segment
- Two Tangents to a Circle
- Secant from an External Point