LAUNCH YOUR FUTURE IN ENGINEERING

ENGINEERING

UNIVERSITY FOUNDATION PROGRAMME

the building blocks for your future career in engineering

A career in engineering offers limitless possibilities. At CATS Cambridge, we are ideally placed to inspire and educate high-achieving students who are looking to pursue an engineering degree at a top UK university Engineering is a diverse field, with many different academic and career paths that can be pursued. To ensure our students can discover the engineering path they desire and ensure they have options when selecting a university, we have developed the Engineering University Foundation Programme taught exclusively at CATS Cambridge

DEVELOPING FUTURE ENGINEERS

The UFP Engineering course is suited to students wishing to study an Engineering related discipline at university. This course aims to provide the necessary knowledge of Physics, Mathematics and Materials Science to enable progression to Higher Education

A knowledge and understanding of aspects of Physics, Mathematics and Materials Science relevant for many areas of Engineering

001

Analytical and critical thinking skills, including applying these to practical concepts

002

A commercial awareness and understanding of construction projects, including short term and long-term financial decisions

003

The skills of communication, collaboration, presentation, analysis, interpretation, application and evaluation within areas of the syllabus

004

Practical skills through conducting practical experiments

005

UFP Engineering is designed to develop each students' practical skills and knowledge in key academic areas

This course is designed to be delivered in conjunction with the University Foundation Programme (UFP) for Mathematics and Chemistry as the course content and assessment styles complement and support the student in their progression through UFP Engineering.

MASTER ENGINeERING CONCEPTS

Reporting and Mechanics

001

Energy and Power

002

Waves

003

Electric Circuits

004

Physics for Engineering

005

Further Trigonometry

006

Through 11 specially tailored subjects

Further Calculus

007

Complex Numbers

008

Vectors

009

Matrix Algebra

010

Numerical Methods

011

Further Trigonometry

Understand and use the definitions of secant, cosecant and cotangent and of arcsin, arccos and arctan; their relationships to sine, cosine and tangent; understanding of their graphs; their ranges and domains Understand and use double angle formulae; use of formulae for , and ; understand geometrical proofs of these formulae. Understand and use expressions for in the equivalent forms of and

006

UNIVERSITY progression

50%

75%

OF CATS STUDENTS WENT ON TO ATTEND A TOP 20 UK UNIVERSITY

OF THE TOP 20 UNIVERISTIES FOR ENGINEERING IN THE UK HAVE ACCEPTED CATS STUDENTS

RUSSELL GROUP UNIVERSITIES HAVE ACCEPTED CATS ENGINEERING STUDENTS

Our large purpose-built campus is designed to give you the best environment for both studying and living in the city of Cambridge – providing everything you need to succeed both personally and educationally.

CATS Cambridge A Campus Engineered for Success

Cambridge is renowned for it's world-class university and is one of the fastest-growing economies in the UK, being home to many technological and engineering global organisations, such as Apple, Microsoft Research, and Samsung. The city has great transport connections with both central London being just a 50 minutes train ride and London Stansted Airport being only a 20 minutes train journey.

UFP Engineering

Independent Study

UFP Maths

UFP Chemistry

Personal Tutorial Time

Break

Lunch

0900

0955

1050

1305

1205

Mon

Tues

Weds

Thurs

Friday

Martin Blake BSc

COURSE STRUCTURE

Engineering UFP is taken alongside two other subjects such as Chemistry and Mathmatics to form a full University Foundation Programme

course teachers

Throughout the academic year there will be opportunities to develop key skills in the areas of group work, presentation skills, research methods and report writing

Poster Coursework

20%

10%

20%

ASSESSMENT

The Engineering UFP assesses students in a variety of ways on their ability to recall and apply knowledge.

Why students choose CaTS Cambridge

Studying at CATS has given me direction. I have become more focused because of the help I got from teachers and the student community

Darius from Nigeria completed A levels and progressed to study Chemical Engineering at Imperial College London

What I love about CATS College is that it offers these higher education sessions. Each week you get talk to someone about your university choices

Janika, CATS A-level Student 2020

I wanted to study in the UK because I felt it would help me to gain a better understanding of UK university life and develop a future career in UK Engineering. I hope to work in the automobile sector, Formula 1 is my main goal

Vallabhbhai CATS Cambridge A Level Student 2020, Now studying Aeronautical Engineering at the University of Glasgow

Engineering courses CATS students go on to study include:

Mechanical Engineering

Civil Engineering

Electronic Engineering

Chemical Engineering

Aeronautical Engineering

Bioengineering

Since 2012, CATS students have progressed to 80 out of the top 100 universities ranked in ‘The Times Good University Guide 2020’ guaranteed progression to top universities

Identify and draw free-body diagrams representing the forces acting on an object Explain Newton’s laws and solve problems Fluid resistance and terminal velocity

001

Reporting and Mechanics

Solve problems involving the work done by a force State the principle of conservation of energy Understand how to carry out an investigation to show the conservation of energy from GPE to KE

002

Energy and Power

Explain and discuss qualitatively the diffraction of waves at apertures and obstacles Define simple harmonic motion (SHM) and state the defining equation as Describe and solve problems of standing (stationary) waves.

003

Waves

Be able to solve problems using the equations: Investigating combinations of resistors in parallel and series circuits Be able to design an experiment affecting one or more factors that affect resistance in a wire

004

Electric Circuits

Understand and use moments in simple static contexts Understand and use Young’s modulus Understand and use properties of materials, including financial factors

005

Physics for Engineering

Differentiate simple functions and relations defined implicitly, for first derivative only Construct simple differential equations in pure mathematics and in context, (contexts may include kinematics, population growth and modelling the relationship between price and demand) Evaluate the analytical solution of simple first order differential equations with separable variables, including finding particular solutions. (Separation of variables may require factorisation involving a common factor)

007

Further Calculus

Solve any quadratic equation with real coefficients; solve cubic or quartic equations with real coefficients (given sufficient information to deduce at least one root for cubics or at least one complex root or quadratic factor for quartics) Understand and use the complex conjugate; know that non-real roots of polynomial equations with real coefficients occur in conjugate pairs Use and interpret Argand diagrams

008

Complex Numbers

Use vectors to solve problems in pure mathematics and in context, including forces and kinematics Calculate the scalar product and use it to express the equation of a plane, and to calculate the angle between two lines, the angle between two planes and the angle between a line and a plane Calculate the cross product and use it to find a perpendicular vector in 3D

009

Vectors

Use matrices to represent linear transformations in 2-D; successive transformations; single transformations in 3-D (3-D transformations confined to reflection in one of x = 0, y = 0, z = 0 or rotation about one of the coordinate axes) (knowledge of 3-D vectors is assumed) Calculate determinants of 2 x 2 and 3 x 3 matrices and interpret as scale factors including the effect on orientation Interpret geometrically the solution and failure of solution of three simultaneous linear equations

010

Matrix Algebra

Solve equations approximately using simple iterative methods; be able to draw associated cobweb and staircase diagrams Solve equations using the Newton-Raphson method and other recurrence relations of the form . Understand how such methods can fail Understand and use numerical integration of functions, including the use of the trapezium rule and estimating the approximate area under a curve and limits that it must lie between.

011

Numerical Methods

CATS Cambridge

Museum of technology

King's College

CSVPA

CHRIST'S COLLEGE

Varsity house accommodation

London

45 mins by train

FITZWILLIAM MUSEUM

UFP Engineering

Independent Study

ESL

1200

Independent Study

UFP Maths

UFP Chemistry

1105

UFP Engineering

Independent Study

ESL

Independent Study

UFP Maths

UFP Chemistry

1400

1510

UFP Engineering

Teacher of Science, Assistant Programme Director (Upper Sixth)

Ken Wheeler MA (Hons)

Teacher of Mathematics

Rob Mathers MMath

Head of Mathematics

CAMBRIDGE FOR eNGINEERING

Martin studied for a BSC in Archaeology at Bournemouth University before becoming a teacher of Science in 2004. After teaching all three sciences for his extensive career, he is currently teaching Physics, and developing new and exciting experiments for his Science classes.

Martin Blake Teacher of Science, Assistant Programme Director (Upper Sixth)

Ken Wheeler has an MA (Hons) in Natural Sciences (specialising in Theoretical Physics) from Cambridge University and a PGSCE from Worcester College. His previous roles inlcude being a Finance Director for media corporations, and director of a consultancy business. On his return to teaching he joined CATS, where he finds great satisfaction in teaching across all levels.

Ken Wheeler MA (Hons) Teacher of Mathematics

Rob has a Master’s Degree in Mathematics from Durham University and a PGCE in Secondary Mathematics from Exeter University. He has been teaching at CATS College since 2009. He is currently the College’s Head of Mathematics. Rob has been rated as Outstanding during the College’s previous ISI and OFTSED inspections. He has taught all levels of Mathematics from IGCSE to STEP preparation.

Rob Mathers Head of Mathematics

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MATHEMATICAL BRIDGE

Makespace Cambridge

cavendish laboratory

Click to see sample topics from each subject area

Sample topics include:

Students are free to pick an appropriate engineering subject that interests them Students produce a short article on why they chose this subject and why it is important to others Students produce a 1,500-word written report discussing their research in more detail Students produce a digital A1-sized poster on their chosen topic along with a 250-word abstract

Independent work 36 marks

50%

20%

Paper covering science and logistics of a construction project Assessment will focus on mathematical and scientific justification for an Engineering model, plus a criticism of these solutions from a modelling assumption and long-term financial viewpoint.

2 hours 20 marks

Controlled Assessment:

20%

Students sit an exam contain questions on any topics from the Pure Mathematics content Students must answer all questions Calculators permitted

2 hours 90 marks

Controlled Assessment:

50%

Students must answer 25 multiple choice questions on selected topics Calculators permitted

40 minutes 25 marks

Multiple Choice Questions

10%

DOWNLOAD THE FULL COURSE SPECIFICATION

Identify and draw free-body diagrams representing the forces acting on an object Explain Newton’s laws and solve problems Fluid resistance and terminal velocity

001

Energy and Power

Sample topics include:

Identify and draw free-body diagrams representing the forces acting on an object Explain Newton’s laws and solve problems Fluid resistance and terminal velocity

001

Waves

Sample topics include:

Identify and draw free-body diagrams representing the forces acting on an object Explain Newton’s laws and solve problems Fluid resistance and terminal velocity

001

Electric Circuits

Sample topics include:

Identify and draw free-body diagrams representing the forces acting on an object Explain Newton’s laws and solve problems Fluid resistance and terminal velocity

001

Physics for Engineering

Sample topics include:

Identify and draw free-body diagrams representing the forces acting on an object Explain Newton’s laws and solve problems Fluid resistance and terminal velocity

001

Further Trigonometry

Sample topics include:

Identify and draw free-body diagrams representing the forces acting on an object Explain Newton’s laws and solve problems Fluid resistance and terminal velocity

001

Further Calculus

Sample topics include:

Identify and draw free-body diagrams representing the forces acting on an object Explain Newton’s laws and solve problems Fluid resistance and terminal velocity

001

Complex Numbers

Sample topics include:

Identify and draw free-body diagrams representing the forces acting on an object Explain Newton’s laws and solve problems Fluid resistance and terminal velocity

001

Vectors

Sample topics include:

Identify and draw free-body diagrams representing the forces acting on an object Explain Newton’s laws and solve problems Fluid resistance and terminal velocity

001

Matrix Algebra

Sample topics include:

Identify and draw free-body diagrams representing the forces acting on an object Explain Newton’s laws and solve problems Fluid resistance and terminal velocity

001

Numerical Methods

Sample topics include:

MonDAY

09:00

09:55

10:50

13:05

12:05

12:00

11:05

14:00

15:10

UFP Engineering

Break

Personal Tutorial Time

Lunch

Independent Study

UFP Chemistry

Independent Study

UFP Chemistry

TUESDAY

Break

Independent Study

UFP Engineering

Personal Tutorial Time

Lunch

Independent Study

ESL

UFP Maths

WEDNESDAY

UFP Maths

Break

Personal Tutorial Time

Lunch

Independent Study

UFP Chemistry

ESL

Independent Study

THURSDAY

Independent Study

Break

Personal Tutorial Time

Lunch

ESL

UFP Maths

Independent Study

UFP Engineering

FRIDAY

UFP Chemistry

Break

Personal Tutorial Time

Lunch

UFP Maths

UFP Engineering

Independent Study

CONTACT

PRESENTATION MODE