Mathematics+Extension1+Course+Structure

The course is divided into two parts: the Preliminary Course (mostly covered in Year 11) and the HSC Course (mostly covered in Year 12). Depending on the teaching sequence, student needs and the textbooks used, your teacher may adjust the order, however all topics must be covered as per the Board of Studies syllabus documentation.

The Extension 1 course is made up of:
 * All the topics from the Mathematics course,
 * Some extensions of the Mathematics topics - typically adding harder problems or extending the content a little further
 * Additional topics exclusive to Mathematics Extension 1.

In the BOS documentation, topics and outcomes exclusive to the Extension 1 course are indicated with the letter **E** (for extension). An extract of the first 16 pages of the BOS 23 Unit Syllabus:

//Note that Mathematics Extension 1 adds extra material into// //many of the standard Mathematics topics// ||= **Course** P = Prelim H = HSC ||= **"Maths in Focus" Chapter** P = Prelim H = HSC ||
 * =  ||< **Topic**
 * = 1 || Basic Arithmetic and Algebra ||= P ||= P1/P2/P3 ||
 * = 2 || Plane Geometry (includes Circle Geometry) ||= P ||= P4/P9/H1 ||
 * = 3 || Probability ||= H ||= H11 ||
 * = 4 || Real Functions and their Geometrical Representation ||= P ||= P5 ||
 * = 5 || Trigonometric Ratios ||= P ||= P6 ||
 * = 6 || Linear Functions and Lines ||= P ||= P7 ||
 * = 7 || Series and Applications ||= H ||= H8 ||
 * = 8 || The Tangent to a Curve and the Derivative of a Function ||= P ||= P8 ||
 * = 9 || The Quadratic Polynomial and the Parabola ||= P ||= P10/P11 ||
 * = 10 || Geometrical Applications of Differentiation ||= H ||= H2 ||
 * = 11 || Integration ||= H ||= H3 ||
 * = 12 || Logarithmic and Exponential Functions ||= H ||= H4 ||
 * = 13 || The Trigonometric Functions ||= H ||= H5 ||
 * = 14 || Applications of Calculus to the Physical World ||= H ||= H6 ||
 * = **E**15 || Inverse Functions and the Inverse Trigonometric Functions ||= H ||= H7 ||
 * = **E**16 || Polynomials ||= P ||= P12/H9 ||
 * = **E**17 || Binomial Theorem ||= H ||= H10 ||
 * = **E**18 || Permutations and Combinations ||= H ||= P13 ||