Graduate Certificate in Mathematics and Statistics

Program Overview

The Graduate Certificate in Mathematics and Statistics at UNSW Sydney enhances mathematical and statistical knowledge for students with a quantitative background. It offers specialized modules in data science, statistical modeling, applied partial differential equations, and financial modeling. The program emphasizes hands-on learning and prepares graduates for careers in fields requiring mathematical or statistical expertise.

Program Outline

Degree Overview:

The Graduate Certificate in Mathematics and Statistics is a concise and adaptable program designed to deepen the mathematical or statistical knowledge acquired in undergraduate studies. It is intended for students with a bachelor's degree with a substantial quantitative component, such as science, engineering, or finance, who want to strengthen their mathematical background for further study.

Objectives:

• Enhance mathematical and statistical knowledge and skills.
• Develop problem-solving, analytical, and critical thinking abilities.
• Prepare students for advanced studies or careers in fields requiring mathematical or statistical expertise.

Outline:

Course Schedule:

• Courses are offered in Term 1 and Term 3.

Individual Modules:

• MATH4610 Mathematics and Statistics for Data Science (6 UOC):
• Introduction to data science and its applications.
• Data collection, cleaning, and analysis techniques.
• Statistical modeling and inference.
• Machine learning algorithms.
• STAT4030 Statistical Modelling (6 UOC):
• Statistical models and their applications.
• Model selection, parameter estimation, and hypothesis testing.
• Advanced regression techniques.
• Time series analysis.
• MATH4580 Applied Partial Differential Equations (6 UOC):
• Partial differential equations and their applications in science and engineering.
• Analytical and numerical methods for solving PDEs.
• Boundary value problems and asymptotic analysis.
• MATH4605 Mathematics of Financial Modelling (6 UOC):
• Mathematical foundations of financial modeling.
• Stochastic processes, options pricing, and risk management.
• Simulation techniques in finance.

Assessment:

Assessment Methods:

• Written examinations
• Assignments
• Projects
• Presentations

Assessment Criteria:

• Understanding of mathematical and statistical concepts
• Problem-solving skills
• Analytical and critical thinking abilities
• Communication skills
• Ability to apply mathematical and statistical knowledge to real-world problems

Teaching:

Teaching Methods:

• Lectures
• Tutorials
• Workshops
• Online learning resources

Faculty:

The program is taught by leading academics from the School of Mathematics and Statistics at UNSW Sydney. Faculty members are renowned for their research expertise and dedication to teaching.

Unique Approaches:

• The program emphasizes hands-on learning through assignments, projects, and presentations.
• Students have access to state-of-the-art computational resources and software.
• The program is designed to be flexible and can be tailored to the individual needs of students.

Careers:

Potential Career Paths:

• Mathematicians and statisticians
• Data scientists
• Quantitative analysts
• Financial analysts
• Risk managers
• Researchers
• Teachers

Opportunities:

• Graduates are highly sought after in various industries, including finance, technology, healthcare, and government.
• The program provides a strong foundation for further study in mathematics, statistics, or related fields.