Module Descriptions
MAS110 Mathematics Core 1
Autumn Semester (20 credits)
Pre–requisites
A–Level Mathematics or equivalent.
Aims/Description
This course reviews and extends some topics from A-Level, and introduces students to new topics in university mathematics. The topics covered include set theory, permutations and combinations, differentiation and integration, trigonometry, exponentials and logarithms, complex numbers, hyperbolic functions and differential equations.
Teaching Methods
Lectures, Problem Solving/Example Classes.
Assessments
Formal Examination, Coursework.
MAS111 Mathematics Core 2
Spring Semester (20 credits)
Pre–requisites
MAS110
Aims/Description
This module aims to extend the material from MAS110. The central aims of this course will be to learn how to interpret the geometry of functions with more than one variable, solve systems of linear equations, and use calculus to understand the graphs of functions with several variables and the volumes that they bound. Material covered will include, but is not limited to, plane and solid geometry, matrix multiplication, linear equations, Gaussian elimination, graphs and level sets of functions with two variables, partial derivatives, volumes, and double integrals.
Teaching Methods
Lectures, Problem Solving/Example Classes.
Assessments
Formal Examination, coursework.
MAS112 Vectors and Mechanics
Autumn & Spring Semester (20 credits)
Co-requisites
MAS110, MAS111
Aims/Description
The module begins with the algebra of vectors, essential for the study of many branches of applied mathematics. The theory is illustrated by many examples, with emphasis on geometry including lines and planes. Vectors are then used to define the velocity and acceleration of a moving particle, thus leading to an introduction to Newtonian particle mechanics. Newton's laws are applied to particle models in areas such as sport, rides at theme parks and oscillation theory.
Teaching Methods
Lectures, Problem Solving/Example Classes.
Assessments
Formal Examination, Coursework.
MAS113 Introduction to Probability and Statistics
Autumn & Spring Semester (20 credits)
Co-requisites
MAS110, MAS111
Aims/Description
The module provides an introduction to the fields of probability and statistics, which form the basis of much of applicable mathematics and operations research. The theory behind probability and statistics will be introduced, along with examples occurring in diverse areas. Some of the computational statistical work may make use of the statistics package R.
Teaching Methods
Lectures, Problem Solving/Example Classes.
Assessments
Formal Examination, Coursework.
MAS114 Numbers and Groups
Autumn & Spring Semester (20 credits)
Co-requisites
MAS110, MAS111
Aims/Description
The module provides an introduction to more specialised Pure Mathematics. The first half of the module will consider techniques of proof, and these will be demonstrated within the study of properties of integers and real numbers. The second semester will study symmetries of objects, and develop a theory of symmetries which leads to the more abstract study of groups.
Teaching Methods
Lectures, Problem Solving/Example Classes.
Assessments
Formal Examination, Coursework.
MAS115 Mathematical Investigation Skills
Autumn & Spring Semester (20 credits):
Co-requisites
MAS110, MAS111
Aims/Description
This module introduces topics which will be useful throughout students' time as undergraduates and beyond. These skills fall into two categories: computer literacy and presentation skills. Various computer packages are introduced in other modules; these share some programming capabilities, and one aim of this module is to develop programming techniques to perform mathematical investigations within the context of these mathematical packages. Students will also meet the typesetting system LaTeX, preparing reports and presentations on mathematical topics.
Teaching Methods
Lectures, Problem Solving/Computer Classes.
Assessments
Portfolio of work, Presentation.