PHY1029 : Multivariate Calculus and Differential Equations
- Offered for Year: 2017/18
- Module Leader(s): Dr Gerasimos Rigopoulos
- Owning School: Mathematics, Statistics and Physics
- Teaching Location: Newcastle City Campus
|Semester 2 Credit Value:||10|
To lay the mathematical foundations for more advanced mathematics needed to describe
physical systems. Students will learn how to use functions of many variables, learn a variety
of coordinate systems and learn how to solve simple differential equations.
Outline Of Syllabus
Partial differentiation: stationary points, chain rule.
Integration: Polar, spherical and cylindrical coordinates. Double integration; change of variables; line integrals.
Differential equations: Partial and ordinary; linear and non-linear; homogeneous and non- homogeneous. Solving ODEs: direct integration; separation of variables. First-order differential equations: separable, homogeneous and general linear. Second-order differential equations: Constant coefficients.
|Scheduled Learning And Teaching Activities||Lecture||23||1:00||23:00||Formal lectures|
|Guided Independent Study||Assessment preparation and completion||1||6:00||6:00||Revision for class test|
|Guided Independent Study||Assessment preparation and completion||1||2:00||2:00||Unseen Exam|
|Scheduled Learning And Teaching Activities||Lecture||1||2:00||2:00||Assignment Laboratory|
|Scheduled Learning And Teaching Activities||Lecture||1||1:00||1:00||Class Test|
|Scheduled Learning And Teaching Activities||Lecture||2||1:00||2:00||Revision lectures|
|Scheduled Learning And Teaching Activities||Lecture||3||1:00||3:00||Problem classes|
|Guided Independent Study||Assessment preparation and completion||1||13:00||13:00||Revision for unseen exam|
|Scheduled Learning And Teaching Activities||Drop-in/surgery||4||1:00||4:00||Tutorials in the lecture room|
|Guided Independent Study||Independent study||1||18:00||18:00||Studying, practising and gaining understanding of course material|
|Guided Independent Study||Independent study||5||2:00||10:00||Review of courseworkassignments and class test|
|Guided Independent Study||Independent study||4||4:00||16:00||Preparation for Coursework Assignments|
Teaching Rationale And Relationship
Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work. Tutorials are used to identify and resolve specific queries raised by students and to allow students to receive individual feedback on marked work. The small group tutorials allow students to improve their understanding of fundamental material and to develop mathematical presentation skills. 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|
|MAS1603||Multivariable Calculus and Differential Equations||2||N/A|
|Prob solv exercises||2||M||10||Coursework assignments|
|Prob solv exercises||2||M||10||Course test|
Assessment Rationale And Relationship
A substantial formal unseen examination is appropriate for the assessment of the material in this module. Written assignments, CBA's and an assignment laboratory of approximately equal weight (worth approximately 10% in total) and one class test (worth approximately 10% in total) allow the students to develop their problem solving techniques, to practise the methods learnt in the module and to receive feedback; this is thus formative as well as summative assessment.