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
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Assessment Summary: | EX 100% |
Assessment Detail: | |
Supplementary Assessment: |
- Like-for-like reassessment (where allowed by programme regulations)
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Requisites: |
Before taking this module you must take MA10230
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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-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)
- 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)
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)
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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 pre-requisite rules.
- Find out more about these and other important University terms and conditions here.
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