Module Leader

Dr Samuel Cooper

Assessment & Weighting

100% Exam

ECTS Credits: 7.5

Learning Outcomes

On successful completion of the module, students should be able to:
  • Recognise the basic vocabulary of vector, real, complex and numerical analysis
  • Recognise the symbolic representations of scalar, vector and complex variables typically used in engineering analysis, and of the principal functions and operators to manipulate them
  • Translate two-dimensional problems from mathematical to graphical representation, and vice versa
  • Correctly manipulate functions of mathematical objects commonly used to represent physical quantities in engineering systems
  • Gain confidence in handling and understanding mathematical expressions
  • Understand how to translate mathematical concepts into solutions using pen and paper, as well as computational methods

 

Description of Content

The module aims to provide students with sufficient mathematical tools and techniques to tackle a variety of engineering design problems. The main topics include:
  • Algebra (vectors, complex numbers, matrices and transformations, solving equations using matrices, eigenvalues and eigenvectors)
  • Analysis (Sequences, series, functions, curve sketching, introduction to Fourier series, limits)
  • Calculus (differentiation and integration of functions of one variable, Taylor series, first and second order differential equations, introduction to partial differentiation)
  • Computational maths (introduction to numerical analysis, numerical root finding)