MA Public Opinion and Political Behaviour
Integrated Master in Mathematics: Mathematics options

Year 2, Component 07

Option(s) from list
Optimisation (Linear Programming)

Are you able to solve a small linear programming problem using an appropriate version of the Simplex Algorithm? Learn to formulate an appropriate linear programming model and use the MATLAB computer package to solve linear programming problems. Understand the methods of linear programming, including both theoretical and computational aspects.

Numerical Methods

In this module, you will learn how to extend techniques from calculus to vector-valued systems, through classical concepts such as gradient, divergence and curl. You will learn central theorems about these operators, and examine various applications and examples.

Riemann Integration and Lebesgue Measure

The integral of a function is a certain type of limit. But what is the best way to define this? What does the integral mean geometrically? Can it be extended beyond the nice functions we are used to? Are there any functions whose integral cannot be defined? This module answers these questions and more, introducing measures and the mathematical foundations of integration.

Analytical Mechanics

The techniques of this module allow you to study systems of particles acted on by forces. Building on Newton’s laws of motion, you will develop advanced techniques necessary for studying complicated, multi-particle systems. You will also consider beautiful extensions of Newton's equations due to Lagrange and Hamilton, which allow for simplified treatments of many interesting problems and provide the foundation for the modern understanding of dynamics.

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