MADRAS MATHEMATICS

Entrance Requirement
Higher Mathematics at Grade A or B.

Course Descriptor
The Advanced Higher Mathematics of Mechanics Course offers learners an enhanced awareness of the range and power of mathematics and the importance of mathematical applications to society in general. Learners use and extend mathematical skills needed to solve problems in mechanics, analyse the physical factors impacting bodies, and consider the state of equilibrium or the movement of a body and interpret the underlying factors using known mathematical methods.
The course consists of 3 units:

 Linear and Parabolic Motion
1 Use mathematical operational and reasoning skills linked to linear and parabolic motion by:
1.1 Applying skills to motion in a straight line
1.2 Applying skills to vectors associated with motion
1.3 Applying skills to projectiles moving in a vertical plane
1.4 Applying skills to forces associated with dynamics and equilibrium

Force, Energy and Periodic Motion
1 Use mathematical operational and reasoning skills linked to force, energy and periodic motion by:
1.1 Applying skills to principles of momentum, impulse, work, power and energy
1.2 Applying skills to motion in a horizontal circle with uniform angular velocity
1.3 Applying skills to simple harmonic motion
1.4 Applying skills to centres of mass

Mathematical Techniques for Mechanics
Use mathematical operational skills linked to mechanics by:
1.1 Applying algebraic skills to expansion of expressions and to partial fractions
1.2 Applying calculus skills to differentiation of functions
1.3 Applying calculus skills through techniques of integration
1.4 Applying calculus skills to solving differential equations

The Work of the Course
In class pupils discover, develop and practice ideas and examples from the course topics through various resources such as jotters, posters, show-me boards, group work, textbooks, IT.
At home daily revision and practice of work covered in class, formal homework at fortnightly intervals (at least) is required.

Assessment
Final Grade: Course Work 0%                   External Exam 100%

Possible progression to university/college courses in Maths, Sciences, Engineering