# Singapore University of Social Sciences

## Mathematical Methods I (MTH319)

Applications Open: 01 April 2022

Applications Close: 31 May 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

MTH319 Mathematical Methods I will introduce students to the mathematical foundations for solutions to engineering problems. The course will be driven from the engineering systems perspective and expose students to methodology to identify appropriate simplifications in system modelling that lead to simplified mathematical description from a more comprehensive one.

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

### Topics

• Linear Systems of Equations
• Gaussian Elimination
• Linear Independence
• Rank of a Matrix
• Vector Space
• Determinants
• Inverse of a Matrix
• Eigenvalues and Eigenvectors
• Modelling and first order differential equations
• Modelling and second order differential equations
• Linear systems of differential equations
• Stability and linear classification

### Learning Outcome

• Determine the solutions of an initial value problem.
• Show the validity of given mathematical statements.
• Calculate a basis of a given subspace.
• Solve system of linear equations or differential equations.
• Compute the eigenvalues and eigenvectors of a given square matrix.
• Sketch solutions of a given differential equation.