Mathematical Foundations for Mechanial Engineering

Content

• Lecture 1 (26/02): Introduction

  • Brief overview of the course

• Lecture 2 (05/03): Linear algebra and applications

  • Matrix operations and linear systems; Vector space: inner and dot product, basis, dimension, orthonormalization; Linear transformation; Eigenvalues and eigenvectors

• Lecture 3 (12/03): Signal processing and dynamical systems: Part 1

  • Signal and systems; Properties;  Convolution operator for solving ODEs

• Lecture 4 (19/03): Signal processing and dynamical systems: Part 2

  • Fourier series x Fourier transform, Spectral analysis and fft algorithm with applications.

• Lecture 5 (26/03): Signal processing and dynamical systems: Part 3

  •  Data acquisition: sensors and actuators.

• Lecture 6 (09/03): Signal processing and dynamical systems: Part 4

  •  Laplace Transform, Ordinary differential equations (ODEs) and industrial applications.