 # Singapore University of Social Sciences

## Mathematical Foundations for Data Science (DSM101)

Applications Open: 01 October 2021

Applications Close: 30 November 2021

Next Available Intake: January 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

Mathematical Foundations for Data Science will introduce students to the essential matrix algebra, optimisation, probability and statistics required for pursuing Data Science. Students will be exposed to computational techniques to perform row operations on matrices, compute partial derivatives and gradients of multivariable functions. Basic concepts on minimisation of cost functions and linear regression will also be taught so that students will have sound mathematical foundations to proceed and understand standard algorithms in Data Science and Machine Learning.

Level: 1
Credit Units: 5
Presentation Pattern: Every January

### Topics

• Matrix operations
• Singular value decomposition
• Functions of several variables
• Limits
• Continuity
• Partial derivatives
• The chain rule
• Directional derivatives
• Maxima and minima
• Sample statistics
• Linear regression

### Learning Outcome

• Determine the limit or partial derivatives of a multivariate function.
• Solve for the gradient or directional derivative of a multivariable function in a given direction.
• Show the linear transformations on means and variances/covariances of datasets.
• Comment on results obtained by singular value decomposition of a matrix.
• Apply linear regression models in data science.
• Use Python to perform calculations in matrix algebra, differential multivariable calculus and statistical analysis.