|Semester 1 Credit Value:||10|
|MAS1041||Mathematical Methods A|
|MAS1042||Mathematical Methods B|
|MAS1141||Analytical Geometry and the Foundations of Differential Equations|
|MAS1142||Modelling with Differential Equations|
To present the basic mathematical methods needed in the formulation of both physical and mathematical problems involving vector and scalar quantities in 3D space.
The development of mathematical representations of physical and thought models, and their solutions, requires some basic mathematical tools. This course (with MAS2105) introduces the various ideas that are needed in order to describe and formulate problems in three dimensions. Thus MAS2104 provides the important links between the calculus and (3D) vectors: the vector calculus.
Vector Calculus: scalar and vector functions and fields; gradient, divergence and curl; spherical and cylindrical coordinates; curves, tangent vectors and review of line integrals; surfaces, normal vectors; surface and volume integrals; Gauss' and Stokes' Theorems.
Students will know basic methods required to model scalar and vector fields in multidimensional space; they will know various ways to define such geometric objects such as curves, surfaces and volumes; they will know basic operators of vector calculus (gradient, divergence, curl, etc.); they will know the fundamental integral theorems (Gauss' and Stokes' theorems).
Students will be able to describe and analyse curves, surfaces and volumes, to perform rather complicated transformations of scalar and vector fields, and they will gain confidence in evaluating path, surface and volume integrals. They will be able to calculate the basic vector calculus, and to apply the fundamental integral theorems.
|Graduate Skills Framework Applicable:||Yes|
|Guided Independent Study||Assessment preparation and completion||1||1:30||1:30||Unseen Exam|
|Scheduled Learning And Teaching Activities||Lecture||22||1:00||22:00||Formal lectures|
|Guided Independent Study||Assessment preparation and completion||5||5:00||25:00||Written assignments and CBAs|
|Scheduled Learning And Teaching Activities||Lecture||2||1:00||2:00||Revision lectures|
|Scheduled Learning And Teaching Activities||Lecture||6||1:00||6:00||Problem classes|
|Guided Independent Study||Assessment preparation and completion||1||11:00||11:00||Revision for unseen Exam|
|Scheduled Learning And Teaching Activities||Drop-in/surgery||24||0:00||0:00||Office Hours in a staff office|
|Scheduled Learning And Teaching Activities||Drop-in/surgery||6||1:00||6:00||Drop-ins in the lecture room|
|Guided Independent Study||Independent study||1||21:30||21:30||Studying, practising and gaining understanding of course material|
|Guided Independent Study||Independent study||5||1:00||5:00||Assignment review|
|MAS3104||Introduction to Vector Calculus|
Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work. Problem Classes are used to help develop the students’ abilities at applying the theory to solving problems. Drop-ins are used to identify and resolve specific queries raised by students and to allow students to receive individual feedback on marked work. Office hours provide an opportunity for more direct contact between individual students and the lecturer.
The format of resits will be determined by the Board of Examiners
|Module Code||Module Title||Semester||Comment|
|MAS3104||Introduction to Vector Calculus||1||N/A|
|Prob solv exercises||1||M||10||Written assignments and computer based assessments|
A substantial formal unseen examination is appropriate for the assessment of the material in this module. Coursework assignments (approximately 5 assignments of approximately equal weight) allow the students to develop their problem solving techniques, to practise the methods learnt in the module, to assess their progress and to receive feedback; this is thus formative as well as summative assessment. The coursework assignments may be written assignments, computer based assessments or a combination of the two, and in the case of combined assessments the deadlines for the two parts will not necessarily be the same.
Note: The Module Catalogue now reflects module information relating to academic year 14/15. Please contact your School Office if you require module information for a previous academic year.
Disclaimer: The University will use all reasonable endeavours to deliver modules in accordance with the descriptions set out in this catalogue. Every effort has been made to ensure the accuracy of the information, however, the University reserves the right to introduce changes to the information given including the addition, withdrawal or restructuring of modules if it considers such action to be necessary.