Mathematical Foundations for Mechanial Engineering

Content

• Lecture 1 (06/08): Introduction

  • Brief overview of the course

• Lecture 2 (13/08): 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 (20/08): Signal processing and dynamical systems: Part 1

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

• Lecture 4 (27/08): Signal processing and dynamical systems: Part 2

  • Data acquisition: sensors and actuators; Fourier transform (fft algorithm) with applications.

• Lecture 5 (03/09): Signal processing and dynamical systems: Part 3

  • Bode diagram; Laplace Transform with applications.

• Lecture 6 (10/09): Signal processing and dynamical systems: Part 4

  • Ordinary differential equations (ODEs) and industrial applications