MAS248 Mathematics III (Chemical)

Note: Information for future academic years is provisional. Timetable information and teaching staff are especially likely to change, but other details may also be altered, some courses may not run at all, and other courses may be added.

Semester 1, 2019/20 10 Credits
Lecturer: Dr Julia Rees uses MOLE Timetable Reading List
Aims Outcomes Teaching Methods Assessment Full Syllabus

A Level 2 mathematics module for engineering students.

Prerequisites: MAS157 (Mathematics for Chemists)
No other modules have this module as a prerequisite.




Aims

  • To consolidate previous mathematical knowledge;
  • To develop new mathematical skills needed for Chemical Engineering.

Learning outcomes

  • Find stationary points of functions f(x) or f(x,y), and use numerical algorithms for finding roots of f(x), i.e. solutions of f(x)=0;
  • Recognise periodic, even and odd functions, and have a working knowledge of Fourier series;
  • Understand the difference between scalar and vector fields;
  • Differentiate and integrate these fields in space and/or time in simple cases;
  • Understand the physical significance of these processes;

Teaching methods

Lectures, tutorials, independent study


18 lectures, 9 tutorials

Assessment

Formal exam Format: attempt all four questions

Full syllabus

  • Revision of partial differentiation and chain rule.
  • Finding maxima, mimina and roots of functions: stationary points; maxima, minima and saddle points; finding the roots of a function of one variable using bisection and Newton-Raphson methods.
  • Fourier series: periodic functions; Fourier series; even and odd functions.
  • Vector analysis: scalar and vector fields; grad, div and curl; vector identities; directional derivative; Laplacian; scalar and vector potentials.
  • Partial differential equations: chain rule; 1-D wave equation; d’Alembert’s solution; normal modes; Laplace’s equation; heat conduction equation.

Reading list

Type Author(s) Title Library Blackwells Amazon
B E. Kreyszig Advanced Engineering Mathematics Blackwells Amazon
B K.A. Stroud Further Engineeering Mathematics: Programmes and Problems Blackwells Amazon

(A = essential, B = recommended, C = background.)

Most books on reading lists should also be available from the Blackwells shop at Jessop West.