Mathematics II - PH312

Location Term Level Credits (ECTS) Current Convenor 2019-20
Canterbury Spring
View Timetable
4 15 (7.5) DR J Miao

Pre-requisites

UK Advanced Level Mathematics Examinations with a normal minimum attainment of a Grade C on the main Mathematics A - Level. Any generally accepted equivalent of this content and attainment is regarded as an acceptable prerequisite.

Restrictions

None

2019-20

Overview

Differential Equations: Solving differential equations, separable equations, linearity, homogeneity, first and second order equations, particular integrals. Boundary and initial values, auxiliary equations with complex roots, coefficients and terms, examples from physics.

Partial Derivatives: functions of two variables , partial derivatives, directional derivatives, functions many variables, higher derivatives, function of a function, implicit differentiation, differentiation of an integral w.r.t a parameter, Taylor expansions, stationary points.

Elementary multivariate Calculus: the chain rule, Multiple integrals, integrals over rectangles/irregular areas in the plane, change of order of integration.

Polar Coordinates: Cylindrical polar coordinates in two and three dimensions, integrals, spherical coordinates, solid angle.

Introduction to Vector Calculus : Gradients, Divergence, Gauss's theorem, Curl, Stokes' theorem.

Details

Contact hours

24 lecture hours and 12 hours workshop sessions.

Total study time: 150 hours, including contact hours and 114 independent learning hours.

Availability

This is not available as a wild module.

Method of assessment

Coursework 30% comprising two in course test and weekly home work involving problem solving, and two one hour class test. Final (written, unseen, 2hrs) exam 70%.

Indicative reading

Engineering Mathematics (7th Ed.); Stroud, K.A. & Booth, D.J. (2013)

See the library reading list for this module (Canterbury)

Learning outcomes

  • Solve problems in physics using appropriate mathematical tools
  • Present and interpret information graphically
  • Make use of appropriate texts, research-based materials or other learning resources as part of managing their own learning.
  • Problem-solving skills, in the context of both problems with well-defined solutions and open-ended problems; an ability to formulate problems in precise terms and to identify key issues, and the confidence to try different approaches in order to make progress on challenging problems. Numeracy is subsumed within this area..
  • Analytical skills – associated with the need to pay attention to detail and to develop an ability to manipulate precise and intricate ideas, to construct logical arguments and to use technical language correctly.

  • University of Kent makes every effort to ensure that module information is accurate for the relevant academic session and to provide educational services as described. However, courses, services and other matters may be subject to change. Please read our full disclaimer.