MAS248 Mathematics III (Chemical)

Semester 1, 2021/22 10 Credits
Lecturer: Dr Julia Rees 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.


  • 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


Provisional: 2 hour written exam, answer all 4 questions (which may contain sub-parts). (This may be subject to change due to Covid disruption.)

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: Laplace’s equation; diffusion equation; wave equation; d’Alembert’s solution; normal modes.
  • Introduction to probability distributions.

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.