I am now at Glasgow University studying Law with French. Hamilton College has provided me with many skills that I have taken forward into the next stage of my life.

Christopher Lewis-Laverty
Head Boy 2010/2011


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Higher Mathematics


 The aim of this course is to build upon and extend students’ Mathematical learning in the areas of Algebra, Geometry and Trigonometry and to introduce students to elementary Calculus. 

Mathematics 1 (H), Mathematics 2 (H) and Mathematics 3 (H) are progressive units. 


 Students would normally be expected to have attained a Standard Grade Credit grade 1 award.


 Three mandatory 40 hour units.

 Unit Title, Length and Brief Description

 Mathematics 1 (H) 40 hours (Mandatory) - Topics studied include the gradient and equation of the straight line, sketching and identifying related functions and graphs, composite functions, solution of trigonometric equations, basic differentiation and recurrence relationships.

Mathematics 2 (H) 40 hours (Mandatory) - Topics include quadratic theory and the remainder theorem, basic integration, use of the addition formulae in trigonometry and the equation of a circle and tangency.

Mathematics 3 (H) 40 hours - Topics include vectors in three dimensions and the scalar product, further differentiation and integration, properties of exponential and logarithmic functions and further trigonometric relationships