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Academic Year: | 2017/8 |
Owning Department/School: | Department of Mathematical Sciences |
Credits: | 6 [equivalent to 12 CATS credits] |
Notional Study Hours: | 120 |
Level: | Certificate (FHEQ level 4) |
Period: |
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Assessment Summary: | EX 100% |
Assessment Detail: |
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Supplementary Assessment: |
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Requisites: | Before taking this module you must take MA10230 |
Description: | Aims: To introduce three-dimensional 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 non-conservative 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
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Notes:
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