The aims of this module are:_x000D_
To give students advanced mathematical tools common to engineering applications._x000D_
To demonstrate the physical origin of applied mathematics._x000D_
To understand the basic concepts in vector analysis, complex functions and Laplace transforms_x000D_
To be familiar with the equations of importance to engineering and science and their properties._x000D_
To train the students' ability to think logically and independently and to acquire the skills of problem solving._x000D_
To give students advanced mathematical tools common to engineering applications._x000D_
To demonstrate the physical origin of applied mathematics._x000D_
To understand the basic concepts in vector analysis, complex functions and Laplace transforms_x000D_
To be familiar with the equations of importance to engineering and science and their properties._x000D_
To train the students' ability to think logically and independently and to acquire the skills of problem solving._x000D_
学分: 2
This module serves as a second course in linear algebra. We present the general concepts and theory of linear spaces. We also introduce powerful tools in linear algebra for applications in science and engineering and introduce students to one of the major themes of modern mathematics: the classification of mathematical objects and structures. _x000D_
After completion of the module, students should be well prepared for further study of topics such as abstract algebra, numerical analysis, scientific computing and multivariable statistics._x000D_
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After completion of the module, students should be well prepared for further study of topics such as abstract algebra, numerical analysis, scientific computing and multivariable statistics._x000D_
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学分: 2
The module aims to provide a rigorous introduction to probability and mathematical statistics particularly for math majored students. It also enables students to discuss the potential scope of the applications and illustrate typical ways of analysis, and provide an appropriate technical background for related higher level MTH modules._x000D_
学分: 2
To provide a basic understanding of the principles of Real Analysis.
学分: 2
To provide a basic understanding of the principles of Real Analysis for more advanced modules in Financial Mathematics.
学分: 2
To introduce the student to a theory having intimate connections with other areas of mathematics and physical sciences, for instance, ordinary and partial differential equations and potential theory.
学分: 2
To introduce the world of discrete mathematics – an active branch of contemporary mathematics, grounded in real-life problems, that serves as a mathematical foundation of computer science, and is widely applied to the other fields of mathematics as well as to operational research and data science. The aim of the module is to acquaint students with the most commonly used combinatorial techniques and the most important aspects of graph theory. In addition, the course also aims to show multiple connections with other branches of mathematics (probability, linear algebra) and real-life applications (web-search algorithm, designing clash-free timetable, etc.). A major focus of the module is in equipping the students with a robust approach for solving mathematical problems, gaining confidence in tackling various types of problems that students have not encountered before.
学分: 2
To give students the opportunity to work in a guided but independent fashion to explore a substantial problem in depth, making practical use of principles, techniques and methodologies acquired elsewhere in the course. _x000D_
To give experience of carrying out a large piece of individual work and in producing a dissertation. _x000D_
To enhance communication skills, both oral and written.
To give experience of carrying out a large piece of individual work and in producing a dissertation. _x000D_
To enhance communication skills, both oral and written.
学分: 2
• To introduce the ideas and methods of the classical differential geometry of curves and surfaces in three dimensional Euclidean space._x000D_
• To translate intuitive geometrical ideas into mathematical concepts that allow for quantitative study._x000D_
• To illustrate geometrical concepts through examples._x000D_
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This module builds on concepts introduced in vector analysis, and has a wide range of applications in science and technology. It provides a foundation for further study of topics such as Riemannian geometry, continuum mechanics and general relativity._x000D_
• To translate intuitive geometrical ideas into mathematical concepts that allow for quantitative study._x000D_
• To illustrate geometrical concepts through examples._x000D_
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This module builds on concepts introduced in vector analysis, and has a wide range of applications in science and technology. It provides a foundation for further study of topics such as Riemannian geometry, continuum mechanics and general relativity._x000D_
学分: 2