# AS/A Level Mathematics

## Key Details

- Available at:Llangefni, Rhos-on-Sea, Pwllheli, Rhyl, Dolgellau
- Study Mode:Full-time
- Course Length:
1-2 years

## AS/A Level Mathematics

### Full-time (Further Education)

**Please note:**
We recommend that you have access to a laptop or Chromebook to enable coursework to be completed digitally at home. There is a dedicated IT Digital Inclusion fund to support those learners who do not have a digital device and are unable to purchase one.

## Course Description

Would you like to develop your mathematic skills at an advanced level? This course develops your understanding of maths, both the underlying concepts and the advanced implications. It will enhance your interest in the subject and its wider applications, allowing you to excel. It will also provide skills that are invaluable for many Higher Education courses, and can lead to careers in engineering, accounting, teaching, computing and many other areas.

The course can be taken as part of a full-time programme of study in conjunction with other AS subjects, or possibly with other Level 3 qualifications.

## Entry Criteria

Applying for A Levels? Click ‘Apply Now’ on any of the subjects you are interested in studying. You will be able to specify your other two A Level choices during the online application process.

In order to qualify for this course, you will need the following:

- 6 GCSEs at grade C or above, including English or Welsh 1st Language
- GCSE Mathematics (Higher Tier) grade B

As part of the application process, you will be asked to attend an interview to give you the opportunity to discuss the course.

Progression to A Level is based on your performance at AS Level.

## Delivery

This course is delivered as follows:

- Group work
- Classroom based learning
- Tutorial support
- Educational visits
- MOODLE (virtual learning environment).

Your programme **will include** a combination of:

- Essential Skills qualifications and/or
- GCSE resits and/or
- The Welsh Baccalaureate

**Welsh Baccalaureate**

Welsh Baccalaureate is a valuable qualification which is often studied alongside your Level 3 full-time course.

The qualification is graded A*-E, carrying the equivalent UCAS points at Level 3, and equips you with transferable personal and business skills. It is highly regarded by universities and employers alike.

As part of the qualification, you will learn about Global Citizenship, Enterprise and Employability and take part in community engagement and work experience.

**Essential Skills**

This may include a combination of Application of Number, Communication, Digital Literacy and Essential Employability Skills

**GCSE resits**

This may include GCSE Numeracy/Maths and/or Welsh/English Language.

**Maths & Welsh/English**

If you don't achieve a C or above in Maths and/ or English/Welsh, we will support you to retake these subjects as part of your study programme.

## Assessment

This course is assessed through a range of activities these can include:

- Practical and written assessments/assignments
- Presentations and demonstrations
- Portffolios of work
- Performance and observation

## Progression

Whether you study the full A Level or just the AS Level, the course adds to your qualifications and helps you to progress. You will gain UCAS points and be able to apply for a range of Higher Education courses at many institutions. This includes degrees in Mathematics, Physics, Engineering, Computer Science, Economics, and other subjects.

## Campus Information Llangefni

The course can be taken as part of a full-time programme of study in conjunction with other AS subjects, or possibly with other Level 3 qualifications. Physics combines particularly well with maths, and the work on statistics will help with interpretation in several academic disciplines. Our staff will be happy to help you put together a programme most suited to your needs. The course can also be taken on a part-time basis by mature students.

**Unit information**

The course covers many aspects of mathematics, and is designed to develop both a broad and in-depth understanding of the subject, as well as enjoyment and achievement. The emphasis on mathematical modelling and context means that you will be able to recognise and use mathematics in numerous aspects of daily life. The models include the nature of distributions within statistics, and the effect of forces within kinematics. The course requires an excellent understanding of algebra and trigonometry, and will develop these topics and introduce others such as calculus, probability distributions and Newton’s laws.

**Year 1 (AS) (40%)**

U1 (Pure – 25%) : Quadratic and simultaneous equations, inequalities, completing the square, surds, trigonometric equations and proofs, coordinate and circle geometry, differentiation and turning points, curve sketching, integration and evaluating areas, the binomial theorem, vectors, logarithms and exponential functions and proofs.

**U2 (Applied – 15%):**

- Statistics

Sampling, statistical diagrams and measures, regression, rules of probability, Venn diagrams, the Binomial, Poisson and discrete Uniform distributions, Hypothesis testing and working with large data sets

- Mechanics

Equations of motion, travel graphs, vertical motion, rectilinear motion, Newton’s laws, lifts and connected particles, pulleys and vectors within kinematics.

**Year 2 (A2) (60%)**

U3 (Pure – 35%) : Arithmetic and geometric progressions, further binomial expansion, partial fractions, arcs and sectors, reciprocal trig functions, derivative of trigonometric, exponential and logarithmic functions, differentiation of composite, product and quotient functions, composite angles, harmonic trig functions, modulus, sketching and transforming functions, implicit and parametric differentiation, points of inflection, integration by parts and by substitution, functions and their inverses, iterative methods, differential equations within geometry.

**U4 (Applied – 25%):**

- Statistics

The uniform and normal distributions, further hypothesis testing, correlation and causation, independence of events, conditional probability, Bayes’ theorem.

- Mechanics

Resolving forces, equilibrium, friction, further pulley systems, motion in two dimensions, vector kinematics, vector calculus .

- Differential equations

Forming, solving and modelling with differential equations

## Campus Information Dolgellau

The course can be taken as part of a full-time programme of study in conjunction with other AS subjects, or possibly with other Level 3 qualifications. Physics combines particularly well with maths, and the work on statistics will help with interpretation in several academic disciplines. Our staff will be happy to help you put together a programme most suited to your needs. The course can also be taken on a part-time basis by mature students.

**Unit information**

The course covers many aspects of mathematics, and is designed to develop both a broad and in-depth understanding of the subject, as well as enjoyment and achievement. The emphasis on mathematical modelling and context means that you will be able to recognise and use mathematics in numerous aspects of daily life. The models include the nature of distributions within statistics, and the effect of forces within kinematics. The course requires an excellent understanding of algebra and trigonometry, and will develop these topics and introduce others such as calculus, probability distributions and Newton’s laws.

**Year 1 (AS) (40%) **

U1 (Pure – 25%) : Quadratic and simultaneous equations, inequalities, completing the square, surds, trigonometric equations and proofs, coordinate and circle geometry, differentiation and turning points, curve sketching, integration and evaluating areas, the binomial theorem, vectors, logarithms and exponential functions and proofs.

**U2 (Applied – 15%): **

Statistics

Sampling, statistical diagrams and measures, regression, rules of probability, Venn diagrams, the Binomial, Poisson and discrete Uniform distributions, Hypothesis testing and working with large data sets

Mechanics

Equations of motion, travel graphs, vertical motion, rectilinear motion, Newton’s laws, lifts and connected particles, pulleys and vectors within kinematics.

**Year 2 (A2) (60%)**

U3 (Pure – 35%) : Arithmetic and geometric progressions, further binomial expansion, partial fractions, arcs and sectors, reciprocal trig functions, derivative of trigonometric, exponential and logarithmic functions, differentiation of composite, product and quotient functions, composite angles, harmonic trig functions, modulus, sketching and transforming functions, implicit and parametric differentiation, points of inflection, integration by parts and by substitution, functions and their inverses, iterative methods, differential equations within geometry.

**U4 (Applied – 25%):**

Statistics

The uniform and normal distributions, further hypothesis testing, correlation and causation, independence of events, conditional probability, Bayes’ theorem.

Mechanics

Resolving forces, equilibrium, friction, further pulley systems, motion in two dimensions, vector kinematics, vector calculus .

Differential equations

Forming, solving and modelling with differential equations

## Campus Information Pwllheli

The course can be taken as part of a full-time programme of study in conjunction with other AS subjects, or possibly with other Level 3 qualifications. Physics combines particularly well with maths, and the work on statistics will help with interpretation in several academic disciplines. Our staff will be happy to help you put together a programme most suited to your needs. The course can also be taken on a part-time basis by mature students.

**Unit information**

The course covers many aspects of mathematics, and is designed to develop both a broad and in-depth understanding of the subject, as well as enjoyment and achievement. The emphasis on mathematical modelling and context means that you will be able to recognise and use mathematics in numerous aspects of daily life. The models include the nature of distributions within statistics, and the effect of forces within kinematics. The course requires an excellent understanding of algebra and trigonometry, and will develop these topics and introduce others such as calculus, probability distributions and Newton’s laws.

**Year 1 (AS) (40%) **

U1 (Pure – 25%) : Quadratic and simultaneous equations, inequalities, completing the square, surds, trigonometric equations and proofs, coordinate and circle geometry, differentiation and turning points, curve sketching, integration and evaluating areas, the binomial theorem, vectors, logarithms and exponential functions and proofs.

**U2 (Applied – 15%): **

Statistics

Sampling, statistical diagrams and measures, regression, rules of probability, Venn diagrams, the Binomial, Poisson and discrete Uniform distributions, Hypothesis testing and working with large data sets

Mechanics

Equations of motion, travel graphs, vertical motion, rectilinear motion, Newton’s laws, lifts and connected particles, pulleys and vectors within kinematics.

**Year 2 (A2) (60%)**

U3 (Pure – 35%) : Arithmetic and geometric progressions, further binomial expansion, partial fractions, arcs and sectors, reciprocal trig functions, derivative of trigonometric, exponential and logarithmic functions, differentiation of composite, product and quotient functions, composite angles, harmonic trig functions, modulus, sketching and transforming functions, implicit and parametric differentiation, points of inflection, integration by parts and by substitution, functions and their inverses, iterative methods, differential equations within geometry.

**U4 (Applied – 25%):**

Statistics

The uniform and normal distributions, further hypothesis testing, correlation and causation, independence of events, conditional probability, Bayes’ theorem.

Mechanics

Resolving forces, equilibrium, friction, further pulley systems, motion in two dimensions, vector kinematics, vector calculus .

Differential equations

Forming, solving and modelling with differential equations

## Campus Information Rhyl

**Unit information**

**Year 1 (AS) (40%)**

**U2 (Applied – 15%):**

- Statistics

- Mechanics

**Year 2 (A2) (60%)**

**U4 (Applied – 25%):**

- Statistics

- Mechanics

- Differential equations

Forming, solving and modelling with differential equations

## Campus Information Rhos-on-Sea

**Unit information**

**Year 1 (AS) (40%)**

**U2 (Applied – 15%):**

- Statistics

- Mechanics

**Year 2 (A2) (60%)**

**U4 (Applied – 25%):**

- Statistics

- Mechanics

- Differential equations

Forming, solving and modelling with differential equations

## Other details

**Course type:**
Full-time (Further Education)

**Level:**
3

**Programme Area:**

- International
- AS/A-Level

**Bilingual:**

This programme is available bilingually at the following campus(es):

- Dolgellau
- Pwllheli