麻豆女优

• Class code: MM201
• Level: 2
• Semester (including exams): 1 (September to December)
• Credits: 20 (10 ECTS)
• Level of study: Undergraduate
• Prerequisites:
• Teaching methods: lectures, seminars, tutorials

Class descriptor

This module will introduce you to the basic ideas of linear algebra, such as matrices and determinants, vector spaces, bases, eigenvalues and eigenvectors. You'll study various standard methods for solving ordinary differential equations and understand their relevance.

• Class code: MM221
• Level: 2
• Semester (including exams): 1 (September to December)
• Credits: 10 (5 ECTS)
• Level of study: Undergraduate
• Prerequisites:
• Teaching methods: lectures, seminars, tutorials

Class descriptor

This module will introduce you to the basic ideas of linear algebra, such as matrices and determinants, vector spaces, bases, eigenvalues and eigenvectors. You'll study various standard methods for solving ordinary differential equations and understand their relevance.

• Class code: MM203
• Level: 2
• Semester (including exams): 1 (September to December)
• Credits: 20 (10 ECTS)
• Level of study: Undergraduate
• Prerequisites:
• Teaching methods: lectures, seminars, tutorials

Class descriptor

This module will give a rigorous treatment of convergence of sequences and infinite series of real numbers and of continuity, differentiability and integrability of functions of a real variable. It will illustrate the importance of these concepts in the analysis of problems arising in applications.

• Class code: MM301
• Level: 3
• Semester (including exams): 1 (September to December)
• Credits: 20 (10 ECTS)
• Level of study: Undergraduate
• Prerequisites: Offers are made in accordance with specified entry requirements although admission to undergraduate programmes is considered on a competitive basis and entry requirements stated are normally the minimum level required for entry. Whilst offers are made primarily on the basis of an applicant meeting or exceeding the stated entry criteria, admission to the University is granted on the basis of merit, and the potential to succeed. As such, a range of information is considered in determining suitability. In exceptional cases, where an applicant does not meet the competitive entry standard, evidence may be sought in the personal statement or reference to account for performance which was affected by exceptional circumstances, and which in the view of the judgement of the selector would give confidence that the applicant is capable of completing the programme of study successfully.
• Teaching methods: Lectures, Seminars/Tutorials

Class descriptor

In this module we'll introduce basic algebraic structures, with particular emphasis on those pertaining to finite dimensional linear spaces and deepen your understanding of linear mappings. We'll also provide an introduction to inner product spaces and bilinear forms.

This is a compulsory module. 

• Class code: MM302
• Level: 3
• Semester (including exams): 1 (September to December)
• Credits: 20 (10 ECTS)
• Level of study: Undergraduate
• Prerequisites: Offers are made in accordance with specified entry requirements although admission to undergraduate programmes is considered on a competitive basis and entry requirements stated are normally the minimum level required for entry. Whilst offers are made primarily on the basis of an applicant meeting or exceeding the stated entry criteria, admission to the University is granted on the basis of merit, and the potential to succeed. As such, a range of information is considered in determining suitability. In exceptional cases, where an applicant does not meet the competitive entry standard, evidence may be sought in the personal statement or reference to account for performance which was affected by exceptional circumstances, and which in the view of the judgement of the selector would give confidence that the applicant is capable of completing the programme of study successfully.
• Teaching methods: Lectures, Seminars/Tutorials

Class descriptor

In this module we’ll introduce you to analytical methods for solving ordinary and partial differential equations, so you'll develop an understanding along with technical skills in this area.

This is a compulsory module. 

• Class code: MM304
• Level: 3
• Semester (including exams): 1 (September to December)
• Credits: 20 (10 ECTS)
• Level of study: Undergraduate
• Prerequisites: Offers are made in accordance with specified entry requirements although admission to undergraduate programmes is considered on a competitive basis and entry requirements stated are normally the minimum level required for entry. Whilst offers are made primarily on the basis of an applicant meeting or exceeding the stated entry criteria, admission to the University is granted on the basis of merit, and the potential to succeed. As such, a range of information is considered in determining suitability. In exceptional cases, where an applicant does not meet the competitive entry standard, evidence may be sought in the personal statement or reference to account for performance which was affected by exceptional circumstances, and which in the view of the judgement of the selector would give confidence that the applicant is capable of completing the programme of study successfully.
• Teaching methods: Lectures, Seminars/Tutorials, Practical

Class descriptor

This module will: review the concepts of probability distributions and how to work with these, present approaches to parameter estimation, focusing on maximum likelihood estimation, bootstrap estimation, and properties of estimators, present hypothesis testing procedures, including classical likelihood ratio tests and computer-based methods for testing parameter values, and goodness-of-fit tests, introduce and provide understanding of the least squares multiple regression model, general linear model, transformations and variable selection procedures, present use of R functions for regression and interpretation of R output.

• Class code: MM305
• Level: 3
• Semester (including exams): 1 (September to December)
• Credits: 20 (10 ECTS)
• Level of study: Undergraduate
• Prerequisites: Offers are made in accordance with specified entry requirements although admission to undergraduate programmes is considered on a competitive basis and entry requirements stated are normally the minimum level required for entry. Whilst offers are made primarily on the basis of an applicant meeting or exceeding the stated entry criteria, admission to the University is granted on the basis of merit, and the potential to succeed. As such, a range of information is considered in determining suitability. In exceptional cases, where an applicant does not meet the competitive entry standard, evidence may be sought in the personal statement or reference to account for performance which was affected by exceptional circumstances, and which in the view of the judgement of the selector would give confidence that the applicant is capable of completing the programme of study successfully.
• Teaching methods: Lectures, Seminars/Tutorials

Class descriptor

This module will: convey the generalisation of the mechanics of single-particle systems to many-particle systems, convey the central ideas of a continuum description of material behaviour and to understand relevant constraints, ground students in the basic principles governing three-dimensional motions of rigid bodies, convey how the ideas of continuum theory are applied to static and inviscid fluids.

• Class code: MM204
• Level: 2
• Semester (including exams): 2 (January to May)
• Credits: 20 (10 ECTS)
• Level of study: Undergraduate
• Prerequisites:
• Teaching methods: lectures, seminars, tutorials

Class descriptor

This module will present the basic concepts of probability theory and statistical inference and provide you with the tools to appropriately analyse a given data set and effectively communicate the results of such analysis.

• Class code: MM205
• Level: 2
• Semester (including exams): 2 (January to May)
• Credits: 20 (10 ECTS)
• Level of study: Undergraduate
• Prerequisites: Offers are made in accordance with specified entry requirements although admission to undergraduate programmes is considered on a competitive basis and entry requirements stated are normally the minimum level required for entry. Whilst offers are made primarily on the basis of an applicant meeting or exceeding the stated entry criteria, admission to the University is granted on the basis of merit, and the potential to succeed. As such, a range of information is considered in determining suitability. In exceptional cases, where an applicant does not meet the competitive entry standard, evidence may be sought in the personal statement or reference to account for performance which was affected by exceptional circumstances, and which in the view of the judgement of the selector would give confidence that the applicant is capable of completing the programme of study successfully.
• Teaching methods: Lectures, Seminars/Tutorials

Class descriptor

This module will develop your appreciation of the basic concepts of force, momentum and energy, and of Newton’s laws of motion. The module will equip you to apply these concepts to model physical systems, in particular the orbital motion of bodies.

This is a compulsory module. 

• Class code: MM202
• Level: 2
• Semester (including exams): 2 (January to May)
• Credits: 20 (10 ECTS)
• Level of study: Undergraduate
• Prerequisites: Offers are made in accordance with specified entry requirements although admission to undergraduate programmes is considered on a competitive basis and entry requirements stated are normally the minimum level required for entry. Whilst offers are made primarily on the basis of an applicant meeting or exceeding the stated entry criteria, admission to the University is granted on the basis of merit, and the potential to succeed. As such, a range of information is considered in determining suitability. In exceptional cases, where an applicant does not meet the competitive entry standard, evidence may be sought in the personal statement or reference to account for performance which was affected by exceptional circumstances, and which in the view of the judgement of the selector would give confidence that the applicant is capable of completing the programme of study successfully.
• Teaching methods: Lectures, Seminars/Tutorials

Class descriptor

This module will present basic ideas, techniques and results for calculus of two and three variables, along with differentiation and integration over curves, surfaces and volumes of both scalar and vector fields.

This is a compulsory module. 

• Class code: MM206
• Level: 2
• Semester (including exams): 2 (January to May)
• Credits: 20 (10 ECTS)
• Level of study: Undergraduate
• Prerequisites: Offers are made in accordance with specified entry requirements although admission to undergraduate programmes is considered on a competitive basis and entry requirements stated are normally the minimum level required for entry. Whilst offers are made primarily on the basis of an applicant meeting or exceeding the stated entry criteria, admission to the University is granted on the basis of merit, and the potential to succeed. As such, a range of information is considered in determining suitability. In exceptional cases, where an applicant does not meet the competitive entry standard, evidence may be sought in the personal statement or reference to account for performance which was affected by exceptional circumstances, and which in the view of the judgement of the selector would give confidence that the applicant is capable of completing the programme of study successfully.
• Teaching methods: Lectures, Practical

Class descriptor

This module will introduce you to the R computing environment. It'll enable you to use R to import data and perform statistical tests, allow you to understand the concept of an algorithm and what makes a good algorithm and will equip you for implementing simple algorithms in R.

This is a compulsory module. 

• Class code: MM222
• Level: 2
• Semester (including exams): 2 (January to May)
• Credits: 10 (5 ECTS)
• Level of study: Undergraduate
• Prerequisites: Offers are made in accordance with specified entry requirements although admission to undergraduate programmes is considered on a competitive basis and entry requirements stated are normally the minimum level required for entry. Whilst offers are made primarily on the basis of an applicant meeting or exceeding the stated entry criteria, admission to the University is granted on the basis of merit, and the potential to succeed. As such, a range of information is considered in determining suitability. In exceptional cases, where an applicant does not meet the competitive entry standard, evidence may be sought in the personal statement or reference to account for performance which was affected by exceptional circumstances, and which in the view of the judgement of the selector would give confidence that the applicant is capable of completing the programme of study successfully.
• Teaching methods: Lectures, Seminars/Tutorials

Class descriptor

This module will present basic ideas, techniques and results for calculus of two and three variables, along with differentiation and integration over curves, surfaces and volumes of both scalar and vector fields.

This is a compulsory module. 

• Class code: MM300
• Level: 3
• Semester (including exams): 2 (January to May)
• Credits: 20 (10 ECTS)
• Level of study: Undergraduate
• Prerequisites: Offers are made in accordance with specified entry requirements although admission to undergraduate programmes is considered on a competitive basis and entry requirements stated are normally the minimum level required for entry. Whilst offers are made primarily on the basis of an applicant meeting or exceeding the stated entry criteria, admission to the University is granted on the basis of merit, and the potential to succeed. As such, a range of information is considered in determining suitability. In exceptional cases, where an applicant does not meet the competitive entry standard, evidence may be sought in the personal statement or reference to account for performance which was affected by exceptional circumstances, and which in the view of the judgement of the selector would give confidence that the applicant is capable of completing the programme of study successfully.
• Teaching methods: Lectures, Seminars/Tutorials

Class descriptor

This module will introduce functions of a complex variable, define concepts such as continuity, differentiability, analyticity, line integration, singular points, etc. You will examine some important properties of such functions and consider some applications of them, for example, conformal mappings and the evaluation of real integrals using the Residue Theorem. You will also be introduced to Fourier and Laplace transform methods for solving linear ordinary differential equations and convolution type integral equations.

This is a compulsory module.

• Class code: MM303
• Level: 3
• Semester (including exams): 2 (January to May)
• Credits: 20 (10 ECTS)
• Level of study: Undergraduate
• Prerequisites: Offers are made in accordance with specified entry requirements although admission to undergraduate programmes is considered on a competitive basis and entry requirements stated are normally the minimum level required for entry. Whilst offers are made primarily on the basis of an applicant meeting or exceeding the stated entry criteria, admission to the University is granted on the basis of merit, and the potential to succeed. As such, a range of information is considered in determining suitability. In exceptional cases, where an applicant does not meet the competitive entry standard, evidence may be sought in the personal statement or reference to account for performance which was affected by exceptional circumstances, and which in the view of the judgement of the selector would give confidence that the applicant is capable of completing the programme of study successfully.
• Teaching methods: Lectures, Seminars/Tutorials

Class descriptor

In this module you will be introduced to the basic theory and applications of: metric spaces, normed vector spaces and Banach spaces, inner product spaces and Hilbert spaces, bounded linear operators on normed linear spaces. 

• Class code: MM306
• Level: 3
• Semester (including exams): 2 (January to May)
• Credits: 20 (10 ECTS)
• Level of study: Undergraduate
• Prerequisites: Offers are made in accordance with specified entry requirements although admission to undergraduate programmes is considered on a competitive basis and entry requirements stated are normally the minimum level required for entry. Whilst offers are made primarily on the basis of an applicant meeting or exceeding the stated entry criteria, admission to the University is granted on the basis of merit, and the potential to succeed. As such, a range of information is considered in determining suitability. In exceptional cases, where an applicant does not meet the competitive entry standard, evidence may be sought in the personal statement or reference to account for performance which was affected by exceptional circumstances, and which in the view of the judgement of the selector would give confidence that the applicant is capable of completing the programme of study successfully.
• Teaching methods: Lectures, Seminars/Tutorials, Practical

Class descriptor

This module will motivate the need for numerical algorithms to approximate the solution of problems that can’t be solved with pen and paper. You’ll develop your skills in performing detailed analysis of the performance of numerical methods and will continue to develop your skills in the implementation of numerical algorithms using R.