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Programme & Unit Catalogues

## MA10236: Methods and applications 1B

Owning Department/School: Department of Mathematical Sciences
Credits: 6
Level: Certificate (FHEQ level 4)
Period: Semester 2
Assessment Summary: EX 100%
Assessment Detail:
• Examination (EX 100%)
Supplementary Assessment: MA10236 Mandatory extra work (where allowed by programme regulations)
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
• USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 1)
• USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 1)
• USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 1)
• USMA-AFB13 : BSc(Hons) Mathematics (Year 1)
• USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 1)
• USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 1)
• USMA-AFM14 : MMath(Hons) Mathematics (Year 1)
• USMA-AAM15 : MMath(Hons) Mathematics with Study year abroad (Year 1)
• USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 1)
• USMA-AFB01 : BSc(Hons) Mathematics and Statistics (Year 1)
• USMA-AAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 1)
• USMA-AKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 1)
• USMA-AFB05 : BSc(Hons) Statistics (Year 1)
• USMA-AAB06 : BSc(Hons) Statistics with Study year abroad (Year 1)
• USMA-AKB06 : BSc(Hons) Statistics with Year long work placement (Year 1)
Department of Physics
• USXX-AFB03 : BSc(Hons) Mathematics and Physics (Year 1)
• USXX-AAB04 : BSc(Hons) Mathematics and Physics with Study year abroad (Year 1)
• USXX-AKB04 : BSc(Hons) Mathematics and Physics with Year long work placement (Year 1)
• USXX-AFM01 : MSci(Hons) Mathematics and Physics (Year 1)
• USXX-AAM01 : MSci(Hons) Mathematics and Physics with Study year abroad (Year 1)
• USXX-AKM01 : MSci(Hons) Mathematics and Physics with Year long work placement (Year 1)

Notes:
* This unit catalogue is applicable for the 2015/16 academic year only. Students continuing their studies into 2016/17 and beyond should not assume that this unit will be available in future years in the format displayed here for 2015/16.
* Programmes and units are subject to change at any time, 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 pre-requisite rules.