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The objective of the course is to teach the student more advanced mathematical tools an d methods that are useful in physics, and to apply these methods on concrete physical systems. Topics include analytic functions, special functions, Fourier analysis: Laplace transforms, ordinary differential equations, partial differential equations, and Green's functions.
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This course examines the fundamental laws of physics to biological problems. This concept-context course is structured around two weekly plenary lectures and two tutorials during which relevant biological case studies and examples are used to introduce the fundamental physical concepts essential in the study of biological phenomena. For instance, classical mechanics is applied to investigate oscillations important for the perception of sound, continuum mechanics to describe the flow of developing tissue, and statistical physics to investigate random motion of molecules. Although the language of physics is mathematics, the emphasis of the course is on physics, not mathematics. Students are introduced to the fundamental tools for quantitative descriptions, study different branches of physics, and learn to apply them to biological problems. Throughout the course, students engage with the material in a diverse set of assignments and computational exercises. This learning-by-doing strategy teaches students how to use considerations based on fundamental physical principles to develop a quantitative intuition about biological systems. Individual e-assessments enable students and teachers to monitor knowledge and understanding as the course progresses.
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COURSE DETAIL
This calculus-based course provides a firm foundation in physical concepts and principles, covering kinematics and dynamics, fluids, elasticity, wave motion, sound, ideal gases, and heat and thermodynamics. Applications of physical concepts are stressed, particularly those related to biological and medical phenomena as well as those forming the basis of much of modern technology. Students gain further insight into the physics taught by carrying out a series of laboratory experiments and learning how to analyze and interpret the data. This is an intensive module requiring good mathematical skills, including algebra and trigonometry and a knowledge of vectors and of differential and integral calculus.
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This is the first of two physics courses that forms the core material for Stage 1 Medical and BHLS students. It addresses the fundamentals of mechanics, energy, fluids, heat, sound and light. This is the foundation in physics that is required for a continued learning in physics and technology, both in further courses and self-directed through a medical career.
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COURSE DETAIL
This course examines a broad overview of the major topics of physics. It covers mechanics, thermal physics, and oscillations and waves.
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This course is in the interdisciplinary field of icing in relation to aircraft. Ultimately, this course will draw from mathematics, physics, chemistry and engineering to provide attendees with a broad overview of the field of aircraft icing, and how the problem may be approached mathematically. This involves understanding the problem, discussing the current state of engineering solutions, and study of how mathematics can help to improve, enhance and further this field. Modelling of this phenomena is a threefold approach. Firstly, the trajectory of particles within the fluid flow concerning an oncoming aircraft is calculated. Secondly, the behavior and mechanics of impinging particles (particles that make contact with the aircraft) needs to be understood. Thirdly, how ice builds up on a surface alongside the possibility of it shedding are important.
This course serves as an introduction to understanding this field and the analytical modelling of this problem.
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In this course, students study practical applications of quantum mechanics. Students begin with a review of the basic ideas of quantum mechanics and give an elementary introduction to the Hilbert-space formulation. They then develop time-independent perturbation theory and consider its extension to degenerate systems. They derive the fine structure of Hydrogen-like atoms as an example. They study the ground state and first excited state of the Helium atom and discuss multi-electron atoms. The Rayleigh-Ritz variational method is introduced and applied to simple atomic and molecular systems. Students then examine quantum entanglement, exploring Bell's inequality, quantum teleporatation, superdense coding, quantum computing including Deutsch's and Grover's algorithms, and the role of information theory in quantum entanglement. Students then study time-dependent perturbation theory, obtain Fermi's Golden Rule, and look at radiative transitions and selection rules. Subsequently students study scattering in the Born Approximation and end by studying the Born-Oppenheimer approximation.
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