Singapore University of Social Sciences

Engineering Mathematics I

Engineering Mathematics I (MTH240)

Synopsis

MTH240 Engineering Mathematics I will introduce students to the mathematical foundations of linear algebra and probability required for solutions to engineering problems. The course will be driven from the engineering systems perspective and expose students to methodology to identify appropriate simplifications in system modelling that lead to simplified mathematical description from a more comprehensive one.

Level: 2
Credit Units: 5
Presentation Pattern: EVERY JULY

Topics

  • System of Linear Equations
  • Gaussian Elimination
  • Rank of a Matrix
  • Vector Space
  • Determinants
  • Eigenvalues and Eigenvectors
  • Sample Spaces and Events
  • Random variables
  • Expectation and variance of random variables
  • Binomial distribution
  • Poisson distribution
  • Normal distribution

Learning Outcome

  • Calculate the probability of the occurrence of an event.
  • Compute a basis of a given subspace.
  • Determine expectation and variance of random variables.
  • Solve system of linear equations.
  • Evaluate the eigenvalues and eigenvectors of a given square matrix.
  • Apply probability models in practical settings.
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