**Higher Mathematics Course**

Higher Mathematics is designed to build upon and extend students mathematical learning in the areas of algebra, geometry and trigonometry and to introduce students to elementary calculus.

The Course aims to:

♦ motivate and challenge learners by enabling them to select and apply mathematical techniques in a variety of mathematical situations

♦ develop confidence in the subject and a positive attitude towards further study in mathematics and the use of mathematics in employment

♦ deliver in-depth study of mathematical concepts and the ways in which mathematics describes our world

♦ allow learners to interpret, communicate and manage information in mathematical form; skills which are vital to scientific and technological research and development

♦ deepen the learner’s skills in using mathematical language and exploring advanced mathematical ideas

## The course is divided into three component units:

**Expressions and Functions**

The general aim of this Unit is to develop knowledge and skills that involve the manipulation of expressions, the use of vectors and the study of mathematical functions. The Outcomes cover aspects of algebra, geometry and trigonometry, and also skills in mathematical reasoning and modelling.

**Relationships and Calculus **

The general aim of this Unit is to develop knowledge and skills that involve solving equations and to introduce both differential calculus and integral calculus. The Outcomes cover aspects of algebra, trigonometry, calculus, and also skills in mathematical reasoning and modelling.

**Applications **

The general aim of this Unit is to develop knowledge and skills that involve geometric applications, applications of sequences and applications of calculus. The Outcomes cover aspects of algebra, geometry, calculus, and also skills in mathematical reasoning and modelling.

**Assessment**

To gain an overall course award, students must pass all unit assessments and the Course assessment.

The Course assessment will consist of two Components:

Component 1 — question paper:

Paper 1 (Non-Calculator) - 1 hour 10 minutes

The purpose of this question paper is to assess mathematical skills without the aid of a calculator. This question paper will give learners an opportunity to apply numerical, algebraic, geometric, trigonometric, calculus, and reasoning skills. They will use these skills within mathematical contexts in cases where a calculator may compromise the assessment of this understanding, such as in solving equations or working with indices, surds and logarithms.

Paper 1 (Non-Calculator) will have 60 marks and will consist of short and extended response questions.

Component 2 — question paper:

Paper 2 - 1 hour 30 minutes

The purpose of this question paper is to assess mathematical skills. A calculator may be used. This question paper will give learners an opportunity to apply numerical, algebraic, geometric, trigonometric, calculus, and reasoning skills.

Paper 2 will have 70 marks and will consist of short and extended response questions.

**Revision**

Students have their own password to access scholar revision materials and aslo have revision materials and coure notes on their UMPC.

## Useful websites include:

www.mathsworkout.co.uk (students have a username and password to access materials)