ADVANCED HIGHER |
Entrance Requirement
Higher Mathematics at Grade A or B.
Course Descriptor
The Advanced Higher Mathematics Course enables learners to select and apply complex mathematical techniques in a variety of mathematical situations. Learners interpret, analyse, communicate and manage information in mathematical form, while exploring more advanced techniques.
The course consists of 3 units:
METHODS IN ALGEBRA & CALCULUS
1.1 Applying algebraic skills to partial fractions
1.2 Applying calculus skills through techniques of differentiation
1.3 Applying calculus skills through techniques of integration
1.4 Applying calculus skills to solving differential equations
GEOMETRY, PROOFS & SYSTEMS OF EQUATIONS
1.1 Applying algebraic skills to matrices and systems of equations
1.2 Applying algebraic and geometric skills to vectors
1.3 Applying geometric skills to complex numbers
1.4 Applying algebraic skills to number theory
1.5 Applying algebraic and geometric skills to methods of proof
APPLICATIONS OF ALGEBRA AND CALCULUS
1.1 Applying algebraic skills to the binomial theorem and to complex numbers
1.2 Applying algebraic skills to sequences and series
1.3 Applying algebraic skills to summation and mathematical proof
1.4 Applying algebraic and calculus skills to properties of functions
1.5 Applying algebraic and calculus skills to motion and optimisation
The course is appropriate for anyone with a pass at A or B level in Higher, wishing to extend their knowledge and understanding of mathematics.
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, Computing.