Singapore University of Social Sciences

Fundamentals of Mathematical Methods and Mechanics (MTH211)

Synopsis

MTH211 is concerned with the use of mathematics to solve real-world problems. Part of it deals with the representation of relevant aspects of the real worldin the form of mathematical models; another part is concerned with the mathematical methods that are useful in working with these models. The material of the course is organized in a way that reflects these broad divisions. By far the most important element of the models part of the course is the study of Newtonian mechanics. Newtonian mechanics is the basic source of models of the motion of objects of ordinary size moving with ordinary speeds (or not moving at all), and itunderpins much of physical science and mechanical engineering.

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.

Topics

  • Review of Mathematical principles
  • First order differential equations
  • Second order differential equations
  • Vector algebra
  • Statics
  • Newtonian mechanics in one-dimension

Learning Outcome

  • Identify a variety of mathematical techniques for applied mathematical problems.
  • Present methods of differentiation and integration.
  • Interpret first and second order differential equations.
  • Apply vectors and vector algebra to a variety of problems.
  • Solve static and force problems with vectors.
  • Apply Newtonian mechanics.
  • 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 mathematical methods and mechanics using Mathcad.
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