Check out the YASS Courses on:

• Essential Maths 1

• Discovering Maths

• Maths for Science

• Introducing Statistics

Description of Course

Advanced Higher Mathematics aims to build upon and extend students’ mathematical learning in the areas of algebra, geometry and calculus.

Course Content

Methods in Algebra & Calculus

• Use of algebraic skills

• Use the rules of differentiation & further differentiation techniques

• Integration using standard results and special cases and further integration techniques

• Solve differential equations

Applications of Algebra & Calculus

• Use of binomial theorem.

• Understand and use complex numbers.

• Understand and use sequences and series.

• Use standard methods to prove results in elementary number theory.

• Use of properties of functions.

Geometry, Proof & Systems of Equations

• Use vectors in three dimensions.

• Use of matrix techniques to solve systems of linear equations.

• Use matrix algebra.

• Use further number theory and direct methods of proof.

Assessment

The course is assessed entirely on the final course exam.

• Paper 1 (Non-calculator) - 1 hour

• Paper 2 (Calculator) – 2 hours 30 minutes

Each paper will consist of short and extended response questions.