ADVANCED HIGHER MATHS

Purpose:  As with all Mathematics courses, Advanced Higher aims to build upon and extend students’ mathematical skills, knowledge and understanding.  The course offers breadth and depth of mathematical experience and is extremely relevant to further study in not only Mathematics but also in areas such as the physical sciences, computer science, engineering and business management.

Entry Requirements: Higher Mathematics at A or B

Course Content: The course is made up of 3 units: 

Methods in Algebra and Calculus

extends the calculus skills from Higher and introduced partial fractions

Applications of Algebra and Calculus

extends graphical and algebraic work from Higher and applies the skills from Maths in Algebra and Calculus

Geometry, Proof and Systems of Equations

introduces matrices and vector equations and develops mathematical rigour and proof

Assessment:  Pupils are required to pass an internal assessment for each of the three units.  If these are completed successfully then the candidate will sit an external assessment in the May/June exam diet.  The external exam result will determine the pupil’s grade at A - D level.

ADVANCED HIGHER MATHEMATICS OF MECHANICS

Purpose:  Mechanics is the branch of mathematics concerned with the study of forces that act on bodies and any resultant motion that they experience and is widely used in physics and technology. Mechanics uses mathematics to enable us to model real-life situations and equip us with the skills we need to interpret and understand how things work, simplify, and solve problems, identify limitations and draw conclusions.

Entry Requirements: Higher Mathematics at A or B & studying Advanced Higher Mathematics.

Course Content: The course is made up of 3 units: 

Forces, energy and momentum

interpret the effects of both constant and variable forces on a body, use mathematical models in problems & develop the principles of momentum and impulse and those of work, power and energy.

Straight line, periodic and parabolic motion

interpret the effects of forces on a body and will use mathematical models in problems & explore the motion of projectiles in a vertical plane.

Mathematical techniques for mechanics

be introduced to the modelling of practical problems using differential equations while widening your skills in calculus.

Assessment:  Pupils are required to pass an internal assessment for each of the three units.  If these are completed successfully then the candidate will sit an external assessment in the May/June exam diet.  The external exam result will determine the pupil’s grade at A -D level.