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Some engineering problems cannot be solved by adding more material or damping alone. Active control offers a different approach: instead of passively resisting an unwanted disturbance, it introduces carefully designed secondary sources or actuators whose outputs cancel or reshape a system's response. The same principle quietens aircraft cabins, controls precision machinery and underpins the noise-cancelling headphones millions of people use every day.

You will build a firm understanding of the physics behind active control and learn to model and analyse it across sound, vibration and mechatronics problems. Working through a range of industrial applications, you will see how the feasibility of a control strategy is assessed, where it succeeds and where its limits lie. In doing so, you will develop the analytical skills to predict how a controlled system behaves and to judge when active control is the right engineering choice.

By the end of the module, you will be able to formulate and analyse active control problems, evaluate candidate solutions against real system requirements, and reason confidently about the trade-offs involved. This places you at the meeting point of acoustics, dynamics and control engineering, a field with growing demand across transport, manufacturing and consumer technology, and provides a strong basis for advanced study or research in active and smart systems.

This module will introduce the techniques and contemporary methods used in active remote sensing systems, focusing on LIDAR and RADAR systems. The module will cover the fundamental principles of active remote sensing (e.g. the measurement techniques of these systems). Additionally, the module will focus on practical application areas of data from these systems, specifically in terrestrial systems, such as three-dimensional (3D) topographic mapping, forests characteristics mapping and surface deformation.

This module will introduce the techniques and contemporary methods used in active remote sensing systems, focusing on LIDAR and RADAR systems. The module will cover the fundamental principles of active remote sensing (e.g. the measurement techniques of these systems). Additionally, the module will focus on practical application areas of data from these systems, specifically in terrestrial systems, such as three-dimensional (3D) topographic mapping, forests characteristics mapping and surface deformation.

This subject arises through a fusion of compound interest theory with probability theory, and provides the mathematical framework necessary for analysing such contracts, which are essentially long term financial transactions in which the various cash flows at different times are contingent on the death (life assurance) or survival (life annuities) of one or more specified human lives. Having developed this framework, we can address issues such as how to determine the premium that should be charged for a certain life assurance contract, including allowance for expenses and/or profit, and how to determine the value that should be represented in the balance sheet of a life assurance company in respect of the policies that it has sold. These examples reflect the two main traditional areas of actuarial activity within a life assurance company: pricing and reserving.

The module begins with an examination of the various factors that affect mortality, and of how risk classification may be used to address the heterogeneity within a given population. Next, probabilities of survival and death are introduced, and it is shown how these may be represented within and extracted from life tables. Compound interest theory is then combined with such probabilities to analyse and evaluate both life assurance benefits and life annuity benefits. With the relevant theory fully developed, the module then becomes somewhat more applied. Premium calculation is explored in detail first, followed by the determination and application of reserves, and, in both areas, the theory is applied to quite realistic and complex problems. Finally, the alternative perspective of cash-flow analysis, or profit-testing, is introduced and applied to assess the emergence of profit from, and overall profitability of, a life contract.

This module is a pre-requisites for MATH6130

This subject arises through a fusion of compound interest theory with probability theory, and provides the mathematical framework necessary for analysing such contracts, which are essentially long term financial transactions in which the various cash flows at different times are contingent on the death (life assurance) or survival (life annuities) of one or more specified human lives. Having developed this framework, we can address issues such as how to determine the premium that should be charged for a certain life assurance contract, including allowance for expenses and/or profit, and how to determine the value that should be represented in the balance sheet of a life assurance company in respect of the policies that it has sold. These examples reflect the two main traditional areas of actuarial activity within a life assurance company: pricing and reserving.

The module begins with an examination of the various factors that affect mortality, and of how risk classification may be used to address the heterogeneity within a given population. Next, probabilities of survival and death are introduced, and it is shown how these may be represented within and extracted from life tables. Compound interest theory is then combined with such probabilities to analyse and evaluate both life assurance benefits and life annuity benefits. With the relevant theory fully developed, the module then becomes somewhat more applied. Premium calculation is explored in detail first, followed by the determination and application of reserves, and, in both areas, the theory is applied to quite realistic and complex problems. Finally, the alternative perspective of cash-flow analysis, or profit-testing, is introduced and applied to assess the emergence of profit from, and overall profitability of, a life contract.

Pre-requisite for MATH3066

This subject arises through a fusion of compound interest theory with probability theory, and provides the mathematical framework necessary for analysing such contracts, which are essentially long term financial transactions in which the various cash flows at different times are contingent on the death (life assurance) or survival (life annuities) of one or more specified human lives. Having developed this framework, we can address issues such as how to determine the premium that should be charged for a certain life assurance contract, including allowance for expenses and/or profit, and how to determine the value that should be represented in the balance sheet of a life assurance company in respect of the policies that it has sold. These examples reflect the two main traditional areas of actuarial activity within a life assurance company: pricing and reserving.

The module begins with an examination of the various factors that affect mortality, and of how risk classification may be used to address the heterogeneity within a given population. Next, probabilities of survival and death are introduced, and it is shown how these may be represented within and extracted from life tables. Compound interest theory is then combined with such probabilities to analyse and evaluate both life assurance benefits and life annuity benefits. With the relevant theory fully developed, the module then becomes somewhat more applied. Premium calculation is explored in detail first, followed by the determination and application of reserves, and, in both areas, the theory is applied to quite realistic and complex problems. Finally, the alternative perspective of cash-flow analysis, or profit-testing, is introduced and applied to assess the emergence of profit from, and overall profitability of, a life contract.

This module is a pre-requisites for MATH6130

This subject arises through a fusion of compound interest theory with probability theory, and provides the mathematical framework necessary for analysing such contracts, which are essentially long term financial transactions in which the various cash flows at different times are contingent on the death (life assurance) or survival (life annuities) of one or more specified human lives. Having developed this framework, we can address issues such as how to determine the premium that should be charged for a certain life assurance contract, including allowance for expenses and/or profit, and how to determine the value that should be represented in the balance sheet of a life assurance company in respect of the policies that it has sold. These examples reflect the two main traditional areas of actuarial activity within a life assurance company: pricing and reserving.

The module begins with an examination of the various factors that affect mortality, and of how risk classification may be used to address the heterogeneity within a given population. Next, probabilities of survival and death are introduced, and it is shown how these may be represented within and extracted from life tables. Compound interest theory is then combined with such probabilities to analyse and evaluate both life assurance benefits and life annuity benefits. With the relevant theory fully developed, the module then becomes somewhat more applied. Premium calculation is explored in detail first, followed by the determination and application of reserves, and, in both areas, the theory is applied to quite realistic and complex problems. Finally, the alternative perspective of cash-flow analysis, or profit-testing, is introduced and applied to assess the emergence of profit from, and overall profitability of, a life contract.

This module is a pre-requisites for MATH6130

This subject arises through a fusion of compound interest theory with probability theory, and provides the mathematical framework necessary for analysing such contracts, which are essentially long term financial transactions in which the various cash flows at different times are contingent on the death (life assurance) or survival (life annuities) of one or more specified human lives. Having developed this framework, we can address issues such as how to determine the premium that should be charged for a certain life assurance contract, including allowance for expenses and/or profit, and how to determine the value that should be represented in the balance sheet of a life assurance company in respect of the policies that it has sold. These examples reflect the two main traditional areas of actuarial activity within a life assurance company: pricing and reserving.

The module begins with an examination of the various factors that affect mortality, and of how risk classification may be used to address the heterogeneity within a given population. Next, probabilities of survival and death are introduced, and it is shown how these may be represented within and extracted from life tables. Compound interest theory is then combined with such probabilities to analyse and evaluate both life assurance benefits and life annuity benefits. With the relevant theory fully developed, the module then becomes somewhat more applied. Premium calculation is explored in detail first, followed by the determination and application of reserves, and, in both areas, the theory is applied to quite realistic and complex problems. Finally, the alternative perspective of cash-flow analysis, or profit-testing, is introduced and applied to assess the emergence of profit from, and overall profitability of, a life contract.

This module is a pre-requisites for MATH6130

This subject arises through a fusion of compound interest theory with probability theory, and provides the mathematical framework necessary for analysing such contracts, which are essentially long term financial transactions in which the various cash flows at different times are contingent on the death (life assurance) or survival (life annuities) of one or more specified human lives. Having developed this framework, we can address issues such as how to determine the premium that should be charged for a certain life assurance contract, including allowance for expenses and/or profit, and how to determine the value that should be represented in the balance sheet of a life assurance company in respect of the policies that it has sold. These examples reflect the two main traditional areas of actuarial activity within a life assurance company: pricing and reserving.

The module begins with an examination of the various factors that affect mortality, and of how risk classification may be used to address the heterogeneity within a given population. Next, probabilities of survival and death are introduced, and it is shown how these may be represented within and extracted from life tables. Compound interest theory is then combined with such probabilities to analyse and evaluate both life assurance benefits and life annuity benefits. With the relevant theory fully developed, the module then becomes somewhat more applied. Premium calculation is explored in detail first, followed by the determination and application of reserves, and, in both areas, the theory is applied to quite realistic and complex problems. Finally, the alternative perspective of cash-flow analysis, or profit-testing, is introduced and applied to assess the emergence of profit from, and overall profitability of, a life contract.

Pre-requisite for MATH3066

This subject arises through a fusion of compound interest theory with probability theory, and provides the mathematical framework necessary for analysing such contracts, which are essentially long term financial transactions in which the various cash flows at different times are contingent on the death (life assurance) or survival (life annuities) of one or more specified human lives. Having developed this framework, we can address issues such as how to determine the premium that should be charged for a certain life assurance contract, including allowance for expenses and/or profit, and how to determine the value that should be represented in the balance sheet of a life assurance company in respect of the policies that it has sold. These examples reflect the two main traditional areas of actuarial activity within a life assurance company: pricing and reserving.

The module begins with an examination of the various factors that affect mortality, and of how risk classification may be used to address the heterogeneity within a given population. Next, probabilities of survival and death are introduced, and it is shown how these may be represented within and extracted from life tables. Compound interest theory is then combined with such probabilities to analyse and evaluate both life assurance benefits and life annuity benefits. With the relevant theory fully developed, the module then becomes somewhat more applied. Premium calculation is explored in detail first, followed by the determination and application of reserves, and, in both areas, the theory is applied to quite realistic and complex problems. Finally, the alternative perspective of cash-flow analysis, or profit-testing, is introduced and applied to assess the emergence of profit from, and overall profitability of, a life contract.

This module is a pre-requisites for MATH6130