MA10236: Methods and applications 1B
[Page last updated: 15 October 2020]
Academic Year:  2020/1 
Owning Department/School:  Department of Mathematical Sciences 
Credits:  6 [equivalent to 12 CATS credits] 
Notional Study Hours:  120 
Level:  Certificate (FHEQ level 4) 
Period: 
 Semester 2

Assessment Summary:  EX 100% 
Assessment Detail:  
Supplementary Assessment: 
 Likeforlike reassessment (where allowed by programme regulations)

Requisites: 
Before taking this module you must take MA10230

Description:  Aims: To introduce threedimensional vectors and their algebraic and geometrical properties. To introduce Newtonian mechanics by considering a selection of problems involving the classical dynamics of particles.
Learning Outcomes: After taking this unit, the students should be able to:
* Demonstrate familiarity with the laws of vector algebra, and their application to 2D and 3D algebraic and geometric problems.
* Apply vector algebra and rudimentary vector calculus in the modelling of physical phenomena involving particle motion.
* Apply Newton's second law of motion to derive, analyse and solve equations of motion for problems in particle dynamics.
Skills: Numeracy T/F A
Problem Solving T/F A
Written and Spoken Communication F (in tutorials)
Content: Vector algebra: scalar and vector products, equations of lines and planes, scalar triple products and volumes.
Curves and kinematics of particles: vector functions of one variable, derivatives, application to particle motion, velocity and acceleration, use of polar coordinates, angular velocity.
Classical dynamics of particles: momentum, Newton's laws of motion, forces and vector fields, directional derivatives and gradients, potentials and line integrals.
Solution of the equations of motion for a variety of problems: conservative and nonconservative forces, energy, angular momentum, motion under a central force, Newton's law of gravitation and Kepler orbits. 
Programme availability: 
MA10236 is Compulsory on the following programmes:
Department of Mathematical Sciences
 USMAAFB15 : BSc(Hons) Mathematical Sciences (Year 1)
 USMAAAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 1)
 USMAAKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 1)
 USMAAFB13 : BSc(Hons) Mathematics (Year 1)
 USMAAAB14 : BSc(Hons) Mathematics with Study year abroad (Year 1)
 USMAAKB14 : BSc(Hons) Mathematics with Year long work placement (Year 1)
 USMAAFB01 : BSc(Hons) Mathematics and Statistics (Year 1)
 USMAAAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 1)
 USMAAKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 1)
 USMAAFB05 : BSc(Hons) Statistics (Year 1)
 USMAAAB06 : BSc(Hons) Statistics with Study year abroad (Year 1)
 USMAAKB06 : BSc(Hons) Statistics with Year long work placement (Year 1)
 USMAAFM14 : MMath(Hons) Mathematics (Year 1)
 USMAAAM15 : MMath(Hons) Mathematics with Study year abroad (Year 1)
 USMAAKM15 : MMath(Hons) Mathematics with Year long work placement (Year 1)
Department of Physics
 USXXAFB03 : BSc(Hons) Mathematics and Physics (Year 1)
 USXXAAB04 : BSc(Hons) Mathematics and Physics with Study year abroad (Year 1)
 USXXAKB04 : BSc(Hons) Mathematics and Physics with Year long work placement (Year 1)
 USXXAFM01 : MSci(Hons) Mathematics and Physics (Year 1)
 USXXAAM01 : MSci(Hons) Mathematics and Physics with Study year abroad (Year 1)
 USXXAKM01 : MSci(Hons) Mathematics and Physics with Year long work placement (Year 1)

Notes:  This unit catalogue is applicable for the 2020/21 academic year only. Students continuing their studies into 2021/22 and beyond should not assume that this unit will be available in future years in the format displayed here for 2020/21.
 Programmes and units are subject to change in accordance with normal University procedures.
 Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any prerequisite rules.
 Find out more about these and other important University terms and conditions here.
