Advanced Higher Maths

ENTRY REQUIREMENTS

You will need to have gained A-B pass in Higher Maths to be able to progress to Adv H

COURSE DESCRIPTION

This Course is designed to enthuse, motivate, and challenge pupils by enabling them to  select and apply complex mathematical techniques in a variety of mathematical situations, both practical and abstract.  Learners will acquire and apply operational skills necessary for exploring more complex mathematical ideas. In addition, learners will develop mathematical reasoning skills and will gain experience in logical thinking and methods of proof. The Course has three mandatory Units.

Methods in Algebra and Calculus (Advanced Higher)

The aim of the Unit is to develop advanced knowledge and skills in algebra and calculus that can be used in practical and abstract situations to manage information in mathematical form. The Outcomes cover partial fractions, standard procedures for both differential calculus and integral calculus, as well as methods for solving both first order and second order differential equations. The importance of logical thinking and proof is emphasised throughout.

Applications of Algebra and Calculus (Advanced Higher)

The aim of the Unit is to develop advanced knowledge and skills that involve the application of algebra and calculus to real life and mathematical situations, including applications to   geometry. Learners will acquire skills in interpreting and  analysing problem situations where these skills can be used. The Outcomes cover the binomial theorem, the algebra of complex numbers, properties of functions, and rates of change. Aspects of sequences and series are introduced, including summations, proved by induction.

Geometry, Proof and Systems of Equations (Advanced Higher)

The aim of the Unit is to develop advanced knowledge and skills that involve geometry, number and algebra, and  to  examine  the  close  relationship  between  them. Learners  will  develop  skills  in  logical  thinking.  The Outcomes cover matrices,  vectors , solving systems of equations, the geometry of complex numbers, as well as processes of rigorous proof.

Assessment

Students are assessed by a final examination at the end of the year. This examination makes up 100% of the final mark. The final examination comprises two papers:

• Non-Calculator

• Calculator

WHAT WILL MY HOME COMMITMENT BE FOR THIS COURSE?

Students can expect to be doing at least 2—3 hours of homework per week which will include a selection of,  End of Topic formal homework, Consolidation of notes from previous week, Completion of exercises as home practice & Past paper practice.

IS MATHS FOR ME?

You will enjoy this subject if: 

· You like understanding how the world around us is understood and shaped by mathematics.

· You enjoy number and developing your mathematical skills to cope with increasingly complex ideas and problems.

· You like to communicate in a concise and logical way.