# Singapore University of Social Sciences

## Mathematical Methods II (MTH320)

Applications Open: 01 April 2022

Applications Close: 15 June 2022

Next Available Intake: July 2022

Language: English

Duration: 6 months

Fees: \$1378 View More Details on Fees

Area of Interest: Science & Technology

Schemes: Alumni Continuing Education (ACE), Lifelong Learning Credit (L2C)

Funding: To be confirmed

School/Department: School of Science & Technology

### Synopsis

MTH320 Mathematical Methods II gives a comprehensive introduction to more advanced topics such as solving ordinary differential equations with power series solutions, using Laplace transforms to solve ordinary differential equations and solving partial differential equations via Fourier series. Relevant physical models such as vibrating string, heat flow from a body in space and membranes will be taught alongside with the mathematics.

Level: 3
Credit Units: 5
Presentation Pattern: Every July

### Topics

• Power Series Solutions
• Laplace Transform
• Inverse Laplace Transform
• Sturm-Liouville Problems
• Fourier Series
• Fourier Transform
• Wave Equation
• Solution by Separating Variables
• Heat Equation
• Laplace Equation
• Solution of PDEs by Laplace Transforms

### Learning Outcome

• Determine the solutions of a given partial differential equation by Laplace transform.
• Show the validity of given mathematical statements in differential equations.
• Explain the results/conclusions of a mathematical model.
• Solve a given partial differential equation by Fourier series.
• Compute the Fourier series of a piecewise continuous function.
• Sketch solutions of a given differential equation.