Singapore University of Social Sciences

Numerical Methods and Advanced Calculus

Numerical Methods and Advanced Calculus (MTH217)


MTH217 considers more advanced techniques to solve various problems in applied mathematics, and prepares students for higher level 3 studies in applied mathematics.

Level: 2
Credit Units: 5
Presentation Pattern: Every July
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.


  • Functions of Several Variables.
  • Classification of stationary points.
  • Numerical Methods for Ordinary Differential Equations.
  • Systems of differential equations.
  • Fourier Series.
  • Fourier series for even and odd functions, and for any periodic functions.
  • Differential Equations.
  • Heat transfer problems.
  • Vector Calculus.
  • Coordinate systems.
  • Multiple Integrals.
  • The scalar line integral, area integrals, volume integrals.

Learning Outcome

  • Use functions of several variables.
  • Solve optimization points of functions of several variables.
  • Identify appropriate numerical methods to solve a class of differential equations.
  • Calculate and contrast exact and numerical solutions to a class of differential equations.
  • Describe Fourier series of functions and periodic functions.
  • Solve partial differential equations by separating variables.
  • Determination of vector calculus problems in 3 dimensions.
  • Identify force problems using potential fields.
  • Solve multiple integrals, including area, centre of mass and inertial multiple integrals.
  • 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 numerical methods and advanced calculus using Mathcad.
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