To provide an introduction to the analysis of engineering problems using mathematical techniques which the students will require in the first year of their engineering degree schemes.

• LO 1 : Solve applied mathematical problems involving classical mechanics using fundamental physical concepts such as the conservation of momentum and the conservation of energy. 

• LO 2 : Apply vector analysis to physical problems posed in more than one dimension. 

• LO 3 : Solve systems of equations by identifying known and unknown parameters, through techniques such as substitution. 

• LO 4 : Understand how simple techniques of calculus (differentiation, integration and simple differential equations) can be applied to classical mechanics. 

The module will be delivered through a blend of online teaching and learning material, guided study, and on-campus face-to-face classes (tutorials, feedback sessions). Extensive notes for pre/post lecture reading will be provided together with suggested further reading.

Subject-Specific Skills: 

• Use of mathematical skills in formulation and solution of a range of engineering problems. 

Transferable/Employability Skills (Graduate Attributes): 

• Independent and critical thinkers 

  • ICT2: Demonstrate intellectual curiosity and engage in the pursuit of new knowledge and understanding 

  • ICT3: Investigate problems and offer effective solutions, reflecting on and learning from successes and failures 

• Reflective & Resilient 

  • RR2: Demonstrate resilience, adaptability and creativity in dealing with challenges, and be open to change 

  • RR3: Identify and articulate own skills, knowledge and understanding confidently and in a variety of contexts 

  • RR4: Engage with new ideas, opportunities and technologies, building knowledge and experience to make informed decisions about own future 

SUMMATIVE ASSSSMENT  

The module is assessed through a mid-semester in class test (20%) covering LO1p,2p,3p,&4p  and a formal two hour examination (80%) at the end of the Spring semester covering LO1p,2p,3p,&4p. 

FORMATIVE ASSESSMENT  

Students will have access to formative self-guided problems, and example problems which will be solved during in person sessions 

THE OPPORTUNITY FOR REASSESSMENT IN THIS MODULE: 

Opportunities for re-assessment is only permitted provided you have not failed more credit than in the resit rule adopted by your programme.  If the amount of credit you have failed is more than permitted by the relevant resit rule, you may be permitted to repeat study if you are within the threshold set for the Repeat rule adopted by your programme.  You will be notified of your eligibility to resit/repeat any modules after the Examining Board in the Summer period. 

All resit assessments will be held in the Resit Examination period, prior to the start of the following academic session. 

The opportunity for reassessment in this module will be set at component level. The remit of the reassessment will be set by the module leader mapped against the module learning outcomes.    

Systems at rest 
representing applied forces and reactions, the Third Law, equilibrium, the free-body diagram, force diagrams, moments 
Systems in motion (i) 
representing linear motion, 1-D displacement, velocity and acceleration, graphical representation, relative motion, velocity diagrams, motion along a circular path, the centripetal acceleration. 
Change of motion 
cause and effect, the First and Second Laws, the concept of mass, motion under gravity, motion along a defined path, motion of projectiles. 
Effects of forces (i) 
force and displacement, work; the concept of mechanical energy, potential energy 
work done in deforming an elastic body, strain energy, conservation of mechanical energy. 
Systems in motion (ii) 
representing uniform rotation, angular velocity, relative motion in rotation, transfer of rotation in belt drives and gears, simple mechanisms. 
Effects of forces (ii) 
force and time, impulse, change of momentum, exchange of momentum and energy in impact and rebound, loss of mechanical energy by conversion 
Using the calculus 
applications of differentiation, interpreting graphical representations and signals, application of integration, definite integrals, areas and volumes, changes of velocity and displacement from acceleration records, numerical approximations in signal processing 
Linear systems in engineering 
formation of differential equations, solution by integration, variable force situations, simple harmonic motion