AH Mathematics

Advanced Higher

Mathematics

INFO

Curriculum Leader: Ms Livingston

Entry Requirements:

  • Grades A, B at Higher Mathematics.

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.