Your programme is made up of credits, the total differs on programme to programme.
Semester 2 Credit Value: | 10 |
ECTS Credits: | 5.0 |
European Credit Transfer System | |
To lay the mathematical foundations for more advanced mathematics needed to describe
physical systems. Students will learn how to solve simple differential equations and how known computational tools of the calculus of functions of a single variable generalize to functions of many variables.
A general introduction to differential equations: Partial and ordinary; linear and non-linear; homogeneous and non- homogeneous. First-order ordinary differential equations (ODEs): direct integration; separation of variables; general linear first order ODEs. Second-order linear ODEs: Constant coefficients, inhomogeneous equations. Partial differentiation of multivariable functions: stationary points, chain rule. Integration of multivariable functions: Double and triple integration, change of variables, polar, spherical and cylindrical coordinates.
Category | Activity | Number | Length | Student Hours | Comment |
---|---|---|---|---|---|
Guided Independent Study | Assessment preparation and completion | 37 | 1:00 | 37:00 | Completion of in course assignments/ examination revision |
Scheduled Learning And Teaching Activities | Lecture | 2 | 1:00 | 2:00 | Revision Lectures |
Scheduled Learning And Teaching Activities | Lecture | 20 | 1:00 | 20:00 | Formal Lectures |
Guided Independent Study | Independent study | 41 | 1:00 | 41:00 | Preparation time for lectures, background reading, coursework review |
Total | 100:00 |
Code | Title |
---|---|
MAS1611 | Multivariate Calculus and Differential Equations |
Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work.
The teaching methods are appropriate to allow students to develop a wide range of skills, from understanding basic concepts and facts to higher-order thinking.
The format of resits will be determined by the Board of Examiners
Description | Length | Semester | When Set | Percentage | Comment |
---|---|---|---|---|---|
Written Examination | 120 | 2 | A | 80 | N/A |
Module Code | Module Title | Semester | Comment |
---|---|---|---|
Multivariate Calculus and Differential Equations | 2 | N/A |
Description | Semester | When Set | Percentage | Comment |
---|---|---|---|---|
Prob solv exercises | 2 | M | 5 | Problem-solving exercises assessment |
Prob solv exercises | 2 | M | 5 | Problem-solving exercises assessment |
Prob solv exercises | 2 | M | 5 | Problem-solving exercises assessment |
Prob solv exercises | 2 | M | 5 | Problem-solving exercises assessment |
A substantial formal unseen examination is appropriate for the assessment of the material in this module. The format of the examination will enable students to reliably demonstrate their own knowledge, understanding and application of learning outcomes. The assurance of academic integrity forms a necessary part of programme accreditation.
Examination problems may require a synthesis of concepts and strategies from different sections, while they may have more than one ways for solution. The examination time allows the students to test different strategies, work out examples and gather evidence for deciding on an effective strategy, while carefully articulating their ideas and explicitly citing the theory they are using.
The coursework assignment allows 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 assessment has a secondary formative purpose as well as a primary summative purpose.