As a Salford mathematics graduate you will have valuable transferable skills that are highly regarded by employers from a range of industries.
You will be numerate, have high level problem solving skills and be able to apply maths to a huge range of situations in industries such as engineering, computing, business, finance and accounting.
We encourage participation in a placement year in industry where you can develop your practical and theoretical knowledge.
Our maths degree is situated in the School of Computing, Science & Engineering and the modules within this course are shaped to reflect the diversity of courses within the School - meaning you will have many options as to which industry you wish to take your mathematical skills to.
Some of your first year will follow on from what you have learned at A level with modules in linear algebra, calculus and probability. At Salford you will also learn about mathematical modelling from an early stage so you become familiar with modelling particular physical processes relevant to industries such as engineering and computing.
In your second year you will continue to solve real-world problems in a dedicated module called Business and Industrial Mathematics. Other modules include Numerical Analysis, Inviscid Fluid Dynamics and Statistics.
In your third year you will have the option to specialise alongside your core modules and also carry out a project in an area of your choice.
Year 1
Probability
This module will build upon and extend your A Level (or equivalent) mathematical probability knowledge and develop the subject of probability with applications.
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Analysis
This module will introduce the concept of proofs and construct simple proofs. It will give you an understanding of fundamental concepts of limit, continuity, differentiability, integration and function in mathematical analysis. On completion of the module you will be able to apply the notion of limit to prove fundamental theorems and to perform integration.
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Linear Algebra
This module introduces the principles of linear algebra and you will develop skills in solving numerical problems using matrices.
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Mathematical Methods 1
This module will build upon and extend on your A Level (or equivalent) mathematical techniques and provide a mathematical foundation in support of subsequent mathematics modules. You will cover the subject of differential equations with applications.
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Mathematical Modelling
This module will build upon and extend your A Level (or equivalent) mathematical techniques providing a mathematical foundation in support of subsequent mathematics modules. You will also cover differential equations with applications and be introduced to problem solving using a symbolic computing environment.
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Mechanics and Vector Calculus
This module introduces the principles of classical mechanics and vector calculus. You will develop skills in solving numerical problems in mechanics and vector calculus.
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Year 2
Business and Industrial mathematics
This module will give you experience in business and industrial working practices and how to solve practical mathematical problems.
At the beginning of the module a series of seminars will be given by speakers on a variety of mathematical applications in business in industry including: probability and statistics, operational research, fluids, structural and solid mechanics, (intelligent) computer algorithms, business and economic models, and how these impact on their work.
Deliverables, which consist of written reports and oral presentations, are assessed on a group basis and are to be produced both during and at the end of the semester to strict deadlines.
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Inviscid Fluid Dynamics
This module will introduce fundamental mathematical concepts of fluid dynamics, with a focus on inviscid flow. You will learn how to apply the techniques to important physical problems such as hydrodynamics and aerodynamics.
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Mathematics Methods 2
This module will extend your methods in differential and integral calculus, first and second order partial differential equations and methods in differential and integral calculus for the complex variable.
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Numerical Analysis
You will learn how to present key numerical (using the computer) solutions in optimisation and ordinary and partial differential equation. You will also apply the techniques to important physical problems such as the heat, diffusion and wave equation.
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Statistics
This module will develop a sound knowledge in probability models and distribution theory, skills in statistics and data analysis and provide an awareness of the principles and scope of data analysis models often implemented in statistical software packages.
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Tensor Algebra and Linear Elasticity
This module will introduce tensors and tensor algebra. You will learn how to use tensors in the representation of physical phenomena, be introduced to concepts associated with the mechanics of continuous media and find the solutions of the linear elastic properties of some simple shapes.
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Year 3
Compulsory modules:
Mathematical Methods 3
This module will teach you integral methods for scalar and vector fields and multiple integrals, in addition to the theory and the application of Fourier and Laplace transforms with examples.
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Project
The project will give you the opportunity to develop a mathematical model within one of the challenging research theme areas prioritized by EPSRC and the EU Research Council and of benefit and importance to society. These are: climate, nanotechnology, renewable energy and sustainable economics. The aim is for you to demonstrate your understanding of the application of mathematics to one of these areas and give you an opportunity to demonstrate your knowledge, understanding and skills.
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Optional modules:
Artificial Intelligence and Neural Networks
You will learn how to express methods for solving problems in a precise form, to analyse their complexity and to develop and understanding of recursion. You will use Artificial Intelligence (AI) techniques to solve problems and become familiar with AI techniques and terminology for knowledge representation, searching, machine learning and case based reasoning.
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Continuum Mechanics
This module develops the concepts associated with modelling material response using a continuum theory.
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Mathematical Statistics
The module aims to survey models for statistical and dynamic processes.
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Operational Research
You will develop the concepts associated with operational research, and apply them to practical problems.
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Viscous Fluids
This module will give you the skills to derive the incompressible Navier-Stokes equations of a viscous fluid, and the ensuing Stokes, Oseen and Euler equations. You will also learn how to obtain solutions to the Stokes equation and Oseen equation in terms of the Green's integral representation by singular force solutions and how to apply to this a variety of problems, in particular flow past slender and thin bodies.
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