# Singapore University of Social Sciences

## Numerical Methods and Advanced Calculus (MTH217)

Applications Open: 01 April 2020

Applications Close: 14 June 2020

Next Available Intake: July 2020

Language: English

Duration: 6 months

Fees: \$1378

Area of Interest: Science & Technology

Schemes: Lifelong Learning Credit (L2C)

Funding: To be confirmed

School/Department: School of Science & Technology

### Synopsis

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

### Topics

• 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.