26 August 2016
Real analysis is the area of mathematics dealing with real numbers and the analytic properties of real-valued functions and sequences. In this course we shall develop concepts such as convergence, continuity, completeness, compactness and convexity in the settings of real numbers, Euclidean spaces, and more general metric spaces.
Real analysis is part of the foundation for further study in mathematics as well as graduate studies in economics. A considerable part of economic theory is difficult to follow without a strong background in real analysis. For example, the concepts of compactness and convexity play an important role in optimisation theory and thus in microeconomics.
Dr Eleni Katirtzoglou
This LSE Methods Summer Programme course in real analysis is designed to meet the needs of economics students who are planning to study at postgraduate level as well as professionals who need to follow developments in economic analysis and research.
After completing this course students will:
- gain knowledge of concepts of modern analysis, such as convergence, continuity, completeness, compactness and convexity in the setting of Euclidean spaces and more general metric spaces
- develop a higher level of mathematical maturity combined with the ability to think analytically
- be able to write simple proofs on their own and study rigorous proofs
- be able to follow more advanced treatments of real analysis and study its applications in disciplines such as economics.
The decision to award credits is at the discretion of the student's home institution. Students should always check with their home institution to confirm the number of credits that can be awarded.
GBP 1435: Student rate - available to current university (including PhD) students.
Academic staff and staff of UK charities are eligible for a reduced rate of £2,030
GBP 2550: Standard rate
Previous students of LSE may be eligible for a 15% discount on their tuition fees.