MATHEMATICS FOR ENGINEERING 3

MATHEMATICS FOR ENGINEERING 3

ECTS credits: 6

Objectives:

Mathematics in Engineering requires an understanding of the mathematical language, principles and techniques that are essential to the study of engineering.

This module helps students gain the mathematical knowledge required to understand and solve engineering problems.

Emphasis is placed on the implementation of numerical methods using computer codes and critical analysis of the numerical results.

Syllabus: 

            Part 1 – Numerical methods

            Numerical methods for non-linear equations:

  • Bisection
  • Newton-Raphson
  • Fixed point
  • Convergence issues

            Numerical integration:

  • Review of the main integration techniques
  • Lagrangian interpolating polynomial
  • Rectangle rule
  • Trapezoidal rule
  • Simpson’s rule
  • Convergence issues

            Numerical methods for differential equations:

  • Review of some analytical solutions to ODE’s
  • Euler methods
  • Runge-Kutta methods
  • Convergence issues

            Lab work using computer codes – Applications to real-life problems.

Part 2 – Probability and statistics

Basic principles in Probabilities

Descriptive statistics

Random variables, probability density functions (continuous and discrete), normal, binomial and Poisson distributions