The course has two strands. In the first strand the students learn rigorous foundations of the concepts of limits, continuity, sequences and series already encountered by them in MA111, MA112 and MA211. In the second strand the students are introduced to complex analysis. Complex analysis has applications in partial differential equations, Fourier series, theoretical physics and many other areas of pure and applied sciences.
The course has two strands. In the first strand the students learn rigorous foundations of the concepts of limits, continuity, sequences and series already encountered by them in MA111, MA112 and MA211. In the second strand the students are introduced to complex analysis. Complex analysis has applications in partial differential equations, Fourier series, theoretical physics and many other areas of pure and applied sciences.
Realistic models of the physical world are nonlinear, involving large amplitudes of motion and thus usually several equilibria of the system concerned. This course gives the background for the analysis and synthesis (design) of dynamic behaviour of general networks, which represent a large class of nonlinear systems, predominantly physical and in particular mechanical. Research projects will involve the application of nonlinear techniques to analyse the properties of nonlinear systems. It is essential that the
student is well-versed in one of the computing languages or computer algebra systems such as Mathematica.
The major topics that we will be covered are the following:
· Systems of First-Order Linear Equations: systems of linear algebraic equations; linear independence; eignevalues; eigenvectors; homogeneous linear systems with constant coefficients; complex eigenvalues; repeated eignenvalues;
· Nonlinear Differential Equations and Stability; the phase plane; autonomous systems and stability; almost linear systems; Lyapunov’s Second Method; periodic solutions and limit cycles; chaos and strange attractors.
Realistic models of the physical world are nonlinear, involving large amplitudes of motion and thus usually several equilibria of the system concerned. This course gives the background for the analysis and synthesis (design) of dynamic behaviour of general networks, which represent a large class of nonlinear systems, predominantly physical and in particular mechanical. Research projects will involve the application of nonlinear techniques to analyse the properties of nonlinear systems. It is essential that the
student is well-versed in one of the computing languages or computer algebra systems such as Mathematica.
The major topics that we will be covered are the following:
· Systems of First-Order Linear Equations: systems of linear algebraic equations; linear independence; eignevalues; eigenvectors; homogeneous linear systems with constant coefficients; complex eigenvalues; repeated eignenvalues;
· Nonlinear Differential Equations and Stability; the phase plane; autonomous systems and stability; almost linear systems; Lyapunov’s Second Method; periodic solutions and limit cycles; chaos and strange attractors.
Realistic models of the physical world are nonlinear, involving large amplitudes of motion and thus usually several equilibria of the system concerned. This course gives the background for the analysis and synthesis (design) of dynamic behaviour of general networks, which represent a large class of nonlinear systems, predominantly physical and in particular mechanical. Research projects will involve the application of nonlinear techniques to analyse the properties of nonlinear systems. It is essential that the
student is well-versed in one of the computing languages or computer algebra systems such as Mathematica.
The major topics that we will be covered are the following:
· Systems of First-Order Linear Equations: systems of linear algebraic equations; linear independence; eignevalues; eigenvectors; homogeneous linear systems with constant coefficients; complex eigenvalues; repeated eignenvalues;
· Nonlinear Differential Equations and Stability; the phase plane; autonomous systems and stability; almost linear systems; Lyapunov’s Second Method; periodic solutions and limit cycles; chaos and strange attractors.
Realistic models of the physical world are nonlinear, involving large amplitudes of motion and thus usually several equilibria of the system concerned. This course gives the background for the analysis and synthesis (design) of dynamic behaviour of general networks, which represent a large class of nonlinear systems, predominantly physical and in particular mechanical. Research projects will involve the application of nonlinear techniques to analyse the properties of nonlinear systems. It is essential that the
student is well-versed in one of the computing languages or computer algebra systems such as Mathematica.
The major topics that we will be covered are the following:
· Systems of First-Order Linear Equations: systems of linear algebraic equations; linear independence; eignevalues; eigenvectors; homogeneous linear systems with constant coefficients; complex eigenvalues; repeated eignenvalues;
· Nonlinear Differential Equations and Stability; the phase plane; autonomous systems and stability; almost linear systems; Lyapunov’s Second Method; periodic solutions and limit cycles; chaos and strange attractors.
Realistic models of the physical world are nonlinear, involving large amplitudes of motion and thus usually several equilibria of the system concerned. This course gives the background for the analysis and synthesis (design) of dynamic behaviour of general networks, which represent a large class of nonlinear systems, predominantly physical and in particular mechanical. Research projects will involve the application of nonlinear techniques to analyse the properties of nonlinear systems. It is essential that the
student is well-versed in one of the computing languages or computer algebra systems such as Mathematica.
The major topics that we will be covered are the following:
· Systems of First-Order Linear Equations: systems of linear algebraic equations; linear independence; eignevalues; eigenvectors; homogeneous linear systems with constant coefficients; complex eigenvalues; repeated eignenvalues;
· Nonlinear Differential Equations and Stability; the phase plane; autonomous systems and stability; almost linear systems; Lyapunov’s Second Method; periodic solutions and limit cycles; chaos and strange attractors.
Realistic models of the physical world are nonlinear, involving large amplitudes of motion and thus usually several equilibria of the system concerned. This course gives the background for the analysis and synthesis (design) of dynamic behaviour of general networks, which represent a large class of nonlinear systems, predominantly physical and in particular mechanical. Research projects will involve the application of nonlinear techniques to analyse the properties of nonlinear systems. It is essential that the
student is well-versed in one of the computing languages or computer algebra systems such as Mathematica.
The major topics that we will be covered are the following:
· Systems of First-Order Linear Equations: systems of linear algebraic equations; linear independence; eignevalues; eigenvectors; homogeneous linear systems with constant coefficients; complex eigenvalues; repeated eignenvalues;
· Nonlinear Differential Equations and Stability; the phase plane; autonomous systems and stability; almost linear systems; Lyapunov’s Second Method; periodic solutions and limit cycles; chaos and strange attractors.
This course is designed for students who want to study all sciences, engineering accounting or economics. MAF11 and MAF12 prepare students for study of mathematics at degree 1 level
This course is designed for students who want to study all sciences, engineering accounting or economics. MAF11 and MAF12 prepare students for study of mathematics at degree 1 level
This Quantitative Business Analysis course provides MBA students with the fundamental knowledge of quantitative methods (namely statistical concepts, and theories) and their application in business analysis. The application of the statistical theory provides students with the real-world examples for better understanding of business analysis and acquisition of skills. The problem-solving methods used in this course expose the students to practical business problems and strategic decision-making. The focus of this course is to apply quantitative methods using examples.
This Quantitative Business Analysis course provides MBA students with the fundamental knowledge of quantitative methods (namely statistical concepts, and theories) and their application in business analysis. The application of the statistical theory provides students with the real-world examples for better understanding of business analysis and acquisition of skills. The problem-solving methods used in this course expose the students to practical business problems and strategic decision-making. The focus of this course is to apply quantitative methods using examples.
This course aims to help students understand important management concepts and theories, covering the basic management functions and other important issues from a practical perspective. It provides a comprehensive and integrated introduction to the process of management in both functional and behavioural aspects. In particular, the course targets the development of human skills, personal, interpersonal and group skills by using a wide range of teaching methods that encourage student participation during tutorials. It is therefore imperative for students to read the prescribed text and other relevant materials from the library and the internet, in order to be able to participate effectively.
This course aims to help students understand important management concepts and theories, covering the basic management functions and other important issues from a practical perspective. It provides a comprehensive and integrated introduction to the process of management in both functional and behavioural aspects. In particular, the course targets the development of human skills, personal, interpersonal and group skills by using a wide range of teaching methods that encourage student participation during tutorials. It is therefore imperative for students to read the prescribed text and other relevant materials from the library and the internet, in order to be able to participate effectively.
This course aims to help students understand important management concepts and theories, covering the basic management functions and other important issues from a practical perspective. It provides a comprehensive and integrated introduction to the process of management in both functional and behavioural aspects. In particular, the course targets the development of human skills, personal, interpersonal and group skills by using a wide range of teaching methods that encourage student participation during tutorials. It is therefore imperative for students to read the prescribed text and other relevant materials from the library and the internet, in order to be able to participate effectively.
This course aims to help students understand important management concepts and theories, covering the basic management functions and other important issues from a practical perspective. It provides a comprehensive and integrated introduction to the process of management in both functional and behavioural aspects. In particular, the course targets the development of human skills, personal, interpersonal and group skills by using a wide range of teaching methods that encourage student participation during tutorials. It is therefore imperative for students to read the prescribed text and other relevant materials from the library and the internet, in order to be able to participate effectively.
This course aims to help students understand important management concepts and theories, covering the basic management functions and other important issues from a practical perspective. It provides a comprehensive and integrated introduction to the process of management in both functional and behavioural aspects. In particular, the course targets the development of human skills, personal, interpersonal and group skills by using a wide range of teaching methods that encourage student participation during tutorials. It is therefore imperative for students to read the prescribed text and other relevant materials from the library and the internet, in order to be able to participate effectively.
This course aims to help students understand important management concepts and theories, covering the basic management functions and other important issues from a practical perspective. It provides a comprehensive and integrated introduction to the process of management in both functional and behavioural aspects. In particular, the course targets the development of human skills, personal, interpersonal and group skills by using a wide range of teaching methods that encourage student participation during tutorials. It is therefore imperative for students to read the prescribed text and other relevant materials from the library and the internet, in order to be able to participate effectively.
This course aims to help students understand important management concepts and theories, covering the basic management functions and other important issues from a practical perspective. It provides a comprehensive and integrated introduction to the process of management in both functional and behavioural aspects. In particular, the course targets the development of human skills, personal, interpersonal and group skills by using a wide range of teaching methods that encourage student participation during tutorials. It is therefore imperative for students to read the prescribed text and other relevant materials from the library and the internet, in order to be able to participate effectively.
This course aims to help students understand important management concepts and theories, covering the basic management functions and other important issues from a practical perspective. It provides a comprehensive and integrated introduction to the process of management in both functional and behavioural aspects. In particular, the course targets the development of human skills, personal, interpersonal and group skills by using a wide range of teaching methods that encourage student participation during tutorials. It is therefore imperative for students to read the prescribed text and other relevant materials from the library and the internet, in order to be able to participate effectively.