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About the Course:
The course builds on the skills and practice that have been worked on during the National 5 Mathematics course.
The course will:
1. motivate and challenge learners by enabling them to select and apply mathematical techniques in a variety of mathematical situations
2. develop confidence in the subject and a positive attitude towards further study in mathematics and the use of mathematics in employment
3. deliver in-depth study of mathematical concepts and the ways in which mathematics describes our world allow candidates to interpret, communicate and manage information in mathematical form.
4. devlop skills which are vital to scientific and technological research and development
5. deepen candidates’ skills in using mathematical language and exploring advanced mathematical ideas
Entry Requirements:
A grade A or B from Higher Mathematics is recommended, but candidates with a grade C could attempt the course at the discretion of the faculty head.
Course Content:
The course is split into key areas:
Calculus - Differentiation building on from the skills taught at Higher Mathematics.
Integration building on from the skills taught at Higher Mathematics.
Applying calculus to real life scenarios
Solving first and second order differential equations.
Algebra, Proof and Number Theory - Working with Partial Fractions.
Investigating features of graphs and sketching graphs.
Expanding expressions using the binomial theorem.
Finding terms in sequences.
Using and applying summation formulae and Maclaurin expansion
Proof.
Matrices, Vectors and Complex Numbers - Using Gaussian Elimination to solve systems of equations.
Understanding and using Matrix Algebra
Carrying out calculations involving Matrices.
Working with Vectors - 3D lines, planes, vector product
Performing algebraic and geometric operations on complex numbers
Assessment:
The Higher course is assessed externally in the form of a final examination that is worth 100% of the final award.
There are two papers:
Paper 1 (35 marks) - 1 hour
Paper 2 (80 marks) - 2 hours 30 minutes
As part of the course learners will complete various class assessments throughout the year
Progression:
After completing this course candidates can progress on the following pathways:
1. Further/Higher Education or employment.
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