Course unit details:
Mathematics 0J2

Course unit fact file
Unit code MATH19852
Credit rating 10
Unit level Level 1
Teaching period(s) Semester 2
Offered by Department of Mathematics
Available as a free choice unit? No

Aims

The course unit aims to provide a basic course in mechanics for students in the Foundation Year.

Learning outcomes

1. Use Newton’s equations of linear motion involving the position, velocity and acceleration. 
2. Evaluate the Momentum, Power, Kinetic Energy, Potential Energy and Work Done (as an 
integral) for particles subject to forces.  
3. Use conservation laws, and the coefficient of restitution, to solve problems involving 
collisions and particles connected by light strings. 
4. Use Newton’s equations of motion in three dimensions, involving position, velocity and 
acceleration vectors. 
5. Evaluate Power and Kinetic Energy as scalar products. 
6. Solve problems of projectiles and of particles in circular motion with constant speed. 
7. Evaluate moments for systems of forces and solve for equilibrium. 
8. Compute the position of the centre of mass of a lamina. 
9. For bodies in contact with rough surfaces, use the laws of friction to decide whether (and 
what sort of) motion will occur. 

Syllabus

Dynamics I: Newton's Laws for linear motion. Concepts of mass, force, weight momentum, power, 
kinetic energy, work as an integral. Impulses, collisions, conservation laws, connected particle 
problems. 
Dynamics II: Newton's Law for general motion in vector form. Position, velocity and acceleration 
vectors. Power and kinetic energy as scalar products. Free motion under uniform gravity. Motion in a 
circle with constant speed. 
Statics: Forces and moments. Particles and rigid bodies under systems of coplanar forces. Laws of 
friction. Centre of mass. 

Assessment methods

Method Weight
Other 20%
Written exam 80%

Coursework 1; Weighting within unit 10%

Coursework 2; Weighting within unit 10%

Examination; Weighting within unit 80%

Study hours

Scheduled activity hours
Lectures 24
Tutorials 11
Independent study hours
Independent study 65

Teaching staff

Staff member Role
Mike Simon Unit coordinator

Additional notes

This course unit detail provides the framework for delivery in 20/21 and may be subject to change due to any additional Covid-19 impact.  

Please see Blackboard / course unit related emails for any further updates

Fees and funding

Fees

Tuition fees for home students will be £10,050 for the 2027/28 academic year. In England and Wales, tuition fees for home undergraduate students are subject to the Government fee cap, which the Government has announced will be £10,050 for the 2027/28 academic year.

Government policy is to increase the fee cap on an annual basis to reflect inflation (i.e. increasing costs), and the tuition fee home students pay in subsequent academic years will reflect any increases in the Government fee cap (which we will communicate to you as soon as we can in advance of the relevant academic year).

Tuition fees for international students will be £29,200 for the 2027/28 academic year. For subsequent academic years, the University reserves the right to increase the tuition fee by up to 7% each year, including to reflect rising costs associated with delivering our education and wider student experience.

For general information please see the undergraduate finance pages.

Policy on additional costs

All students should normally be able to complete their programme of study without incurring additional study costs over and above the tuition fee for that programme. Any unavoidable additional compulsory costs totalling more than 1% of the annual home undergraduate fee per annum, regardless of whether the programme in question is undergraduate or postgraduate taught, will be made clear to you at the point of application. Further information can be found in the University's Policy on additional costs incurred by students on undergraduate and postgraduate taught programmes (PDF document, 91KB).

Scholarships/sponsorships

The Foundation Year Bursary  is available to UK students who are registered on an undergraduate foundation year here and who has had a full financial assessment carried out by Student Finance.

Details of country-specific funding available to international students can be found within our  International country profiles .

The University of Manchester is committed to attracting and supporting the very best students. We have a focus on nurturing talent and ability, therefore, we want to make sure that you have the opportunity to study here, regardless of your financial circumstances.

For information about scholarships please visit our  undergraduate student finance pages  and the Department funding pages that you intend to progress to after successfully completing the Foundation Year.

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