MA10236: Methods and applications 1B
[Page last updated: 13 August 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: 

Assessment Summary:  EX 100% 
Supplementary Assessment: 

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

Notes:
