Singapore University of Social Sciences

Fundamentals of Mathematical Modelling (MTH213)


MTH213 is designed to equip you with standard mathematical modelling techniques that can be applied to model the real world scenarios. Students are expected to take MTH211 before taking the course MTH213Topics such as mathematical modeling techniques in Oscillations and Energy method in mechanics. Newtonians mechanics in more that one-dimension, heat transfer, circular motion of particles as well as rotational of rigid bodies introduced. The course also covered the key stages in the mathematical modelling process.

Level: 2
Credit Units: 5
Presentation Pattern: Every January
E-Learning: BLENDED - Learning is done MAINLY online using interactive study materials in Canvas. Students receive guidance and support from online instructors via discussion forums and emails. This is supplemented with SOME face-to-face sessions. If the course has an exam component, this will be administered on-campus.


  • Oscillations.
  • Oscillations and Energy.
  • Newtonian mechanics in more than one-dimension.
  • Resisted projectiles.
  • Stages in mathematical modelling process.
  • The skills of modelling.
  • Heat and temperature.
  • Transient heat transfer.
  • Kinematics of circular motion.
  • Angular momentum and torque law.
  • Rotation of rigid bodies.
  • Rotation about a moving axis.

Learning Outcome

  • Apply mathematical techniques to oscillation problems.
  • Describe Newtonians mechanics in more than one dimension.
  • Analyze projectile problems.
  • Interpret heat transfer models.
  • Describe general equations of circular motion.
  • Implement rigid body descriptions and solve rigid body rotation problems.
  • Apply a range of mathematical techniques to solve a variety of quantitative problems.
  • Analyze and solve problems individually and/or as part of a group.
  • Solve a number of problem sets within strict deadlines.
  • Solve problems related to modelling using Mathcad.
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