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This subject introduces students to the use of advanced mathematics in economics. After reviewing basic concepts we will study in detail some of the classic existence proofs in game theory and general equilibrium theory. Students will be expected to solve problems and generate proofs, and will be assessed on this.
Intended learning outcomes
On successful completion of this subject students should be able to understand the definitions and fundamental concepts of linear algebra, vector calculus, and real analysis as they relate to studies in advanced economics. They should be able to use these tools to:
- prove relevant optimisation theorems;
- set up and solve optimal control problems;
- set up and solve dynamic programming problems.
High level of development:
- problem solving;
- interpretation and analysis;
- critical thinking.
Moderate level of development:
- oral communication;
- written communication;
- collaborative learning;
- team work;
- application of theory to practice;
- receptiveness to alternative ideas.
Some level of development:
- synthesis of data and other information;
- evaluation of data and other information;
- use of computer software;
- accessing data and other information from a range of sources.
Last updated: 18 December 2020