Mathematics in the Sixth Form
The place of mathematics in the modern world need not be expounded here, but in addition, it has come to be regarded as a measure of intellectual acumen and ability to think logically. For this reason it is often cited as a course requirement, even when mathematical knowledge is not a significant portion of the study. Indeed, a pass in mathematics at GCSE level is required for entry to British universities.
The jump in conceptual difficulty between GCSE mathematics and A-level mathematics is considerable. It would, therefore, be unwise to attempt this course with anything less than grade A at GCSE level
Course Description and method of assessment
||Algebra and functions; coordinate geometry in the (x,y) plane; sequences and series; differentiation; integration.
||Algebra and functions; coordinate geometry in the (x,y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation; integration.
||Algebra and functions; trigonometry; exponentials and logarithms; differentiation; numerical methods.
||Algebra and functions; coordinate geometry in the (x,y) plane; sequences and series; differentiation; integration; vectors.
||Mathematical models in mechanics; vectors in mechanics; kinematics of a particle moving in a straight line; dynamics of a particle moving in a straight line or plane; statics of a particle; moments.
||Mathematical models in probability and statistics; representation and summary of data; probability; correlation and regression; discrete random variables; discrete distributions; the normal distribution.
What you can expect from the course
You will find portions of this course intellectually challenging and demanding. Successful completion of the course will equip you with a basic knowledge of statistical method and mechanical systems, as well as the ability to handle some quite difficult pure mathematics.