The degree

Covered

Mapped concepts: Atoms and the nucleus, Displacement, velocity and acceleration, Electric charge and current, Electric fields, Lenses and focal length, Magnetic fields, Measurement, precision and accuracy, Momentum and impulse, Newton's first law, Newton's second law, Newton's third law, Phase transitions, Photons and quanta, Physical quantities and units, Radioactivity and half-life, Reflection and refraction, Scalars and vectors, Significant figures, Simple harmonic motion, Snell's law, Specific heat capacity, Speed and motion, Temperature and heat, Thermal expansion, Uncertainty and error, Voltage and resistance, Wave properties: amplitude, wavelength and frequency, Waves and oscillations, Work and energy

Covered

Mapped concepts: Acids, bases and pH, Chemical bonding, Chemical equilibrium, Reaction kinetics, Redox reactions, Stoichiometry, The mole and amount of substance, The periodic table

No syllabus text was captured for this course in the source scrape.

Covered — Theory covered — bench work needs a real lab

Mapped concepts: Combining uncertainties, Measurement, precision and accuracy, Physical quantities and units, Propagation of uncertainty through functions, Scalars and vectors, Significant figures, Uncertainty and error, Graphing and linearisation of data, Least-squares fitting and linear regression, Statistical distributions in measurement

Covered

Mapped concepts: Classes of materials, Structure and properties

Covered — Theory covered — bench work needs a real lab

Mapped concepts: Acids, bases and pH, Chemical bonding, Chemical equilibrium, Reaction kinetics, Redox reactions, Stoichiometry, The mole and amount of substance, The periodic table

Covered

Mapped concepts: Algorithms and program structure, Control flow, Data structures and algorithms, Numerical methods in computing

Covered

Mapped concepts: Algorithms and program structure, Control flow

Covered

Mapped concepts: Algorithms and program structure, Control flow, Data structures and algorithms

Covered

Mapped concepts: Complex numbers, Determinants, First-order differential equations, Second-order differential equations, Functions and inverses, Limits of functions, Lines and planes in space, Matrices, Polar and exponential form, Systems of linear equations, The cross product, The definite integral, The derivative, The dot product, The indefinite integral, Vectors in space, Improper integrals, Curve sketching with derivatives

Covered

Mapped concepts: Infinite series, Multiple integrals, Partial derivatives, Vector spaces and linear independence, First-order differential equations, Second-order differential equations, Fourier series, Multivariable optimisation and Lagrange multipliers, Introduction to partial differential equations

Covered

Mapped concepts: Probability, Random variables and distributions, Common probability distributions, Point and interval estimation, Hypothesis testing

Covered

Mapped concepts: AC circuits and impedance, Ampère's law, The Biot–Savart law, Capacitance, Coulomb's law, Dielectrics and capacitor energy, Electric charge and current, Electric fields, Electric power and Joule heating, Electric potential and potential energy, Electromagnetic induction, Electromagnetic waves, Electromagnetic waves in media, Gauss's law, Inductance and RL circuits, Kirchhoff's laws and circuit analysis, LC and RLC oscillations, The Lorentz force, Magnetic fields, Maxwell's equations, RC and RL circuit transients, Resistivity and conductivity, The Poynting vector, Voltage and resistance, Band theory of solids, Semiconductors and doping, Superconductivity, The Hall effect, Thévenin and Norton equivalent circuits, Transformers and AC power distribution, Charged particle motion: mass spectrometry and cyclotrons, Magnetic materials and ferromagnetic hysteresis, Electric motors, generators and thermoelectric effects, Piezoelectric and ferroelectric materials

Covered

Mapped concepts: Diffraction gratings, Dispersion and chromatic effects, Optical instruments and magnification, Optical resolution and the Rayleigh criterion, The Michelson interferometer, Thin-film interference, Interference and diffraction, Lenses and focal length, Polarization of light, Resonance, Simple harmonic motion, Snell's law, Standing waves, Total internal reflection, The wave nature of light, Wave properties: amplitude, wavelength and frequency, Reflection and refraction, The wave equation, Maxwell's equations, The Poynting vector, Signals and Fourier analysis, Blackbody radiation and Planck's law, The Doppler effect, The photoelectric effect, Photons and quanta, Lasers and stimulated emission, Rayleigh and Mie scattering, Fresnel equations and Brewster's angle, Birefringence and wave plates, Radiometric and photometric quantities, Photodetectors: PMTs and CCDs, Nonlinear optics and harmonic generation, Electric dipole radiation

Covered

Mapped concepts: Heisenberg's uncertainty principle, The photoelectric effect, Photons and quanta, Quantised energy levels in atoms, Radioactivity and half-life, Wave-particle duality, Wavefunctions and probability, Compton scattering, X-rays and their production, Nuclear binding energy, Nuclear fission and fusion, Radioactive decay modes, The Standard Model of particle physics, Conservation laws in particle interactions, The Schrödinger equation, The de Broglie wavelength, Quantum tunneling, Particle in a box, Quantum numbers and atomic orbitals, The hydrogen atom and atomic structure, Spin and angular momentum in quantum mechanics, The Pauli exclusion principle, Atoms and the nucleus, Nuclear shell model, spin and parity, Nuclear reactions and threshold energy, The Zeeman effect and Stern-Gerlach experiment, Fine structure and spin-orbit coupling, Ionizing radiation detection and dosimetry

Covered

Mapped concepts: Heat transfer mechanisms, Internal energy and the first law, Thermodynamic processes, Beats and superposition, Sound waves and intensity, The Doppler effect, The wave equation, Wave energy and power, Centre of mass, Centripetal force, Damped oscillations, Elastic and inelastic collisions, Friction, Kepler's laws of planetary motion, Projectile motion, Rolling motion, Static equilibrium, Uniform circular motion, Bernoulli's equation, Buoyancy and Archimedes' principle, Conservation of energy, Conservation of momentum, Coupled and driven oscillators, Displacement, velocity and acceleration, Fluid continuity and flow rate, Ideal gas law, Interference and diffraction, Kinetic theory of gases, Lagrangian mechanics, Surface tension and capillarity, Drag and terminal velocity, Reynolds number and turbulence, Moment of inertia and rotational dynamics, Momentum and impulse, Newtonian gravitation, Newton's first law, Newton's second law, Newton's third law, Pascal's principle and hydraulics, Phase transitions, Pressure in fluids, Resonance, Rotational kinetic energy, Simple harmonic motion, Specific heat capacity, Thermal expansion, Torque and angular momentum, Viscosity and Poiseuille flow, Wave properties: amplitude, wavelength and frequency, Work and energy

Covered

Mapped concepts: Length contraction, Postulates of special relativity, Relativistic momentum and energy, Time dilation, Relativity of simultaneity, Lorentz transformations, Relativistic velocity addition, Spacetime and four-vectors, The relativistic Doppler effect

Covered

Mapped concepts: Blackbody radiation and Planck's law, Microstates and multiplicity, The equipartition theorem, The partition function, Entropy and the second law, Free energy and spontaneity, The laws of thermodynamics, The statistical definition of entropy, The Carnot cycle and heat engines, The Maxwell-Boltzmann distribution, Quantum statistics: Fermi-Dirac and Bose-Einstein, Thermodynamic processes, Ideal gas law, Phase transitions, Maxwell's thermodynamic relations, Critical phenomena and continuous phase transitions, Liouville's theorem and phase space

Covered

Mapped concepts: Heisenberg's uncertainty principle, Particle in a box, Quantum tunneling, Spin and angular momentum in quantum mechanics, The hydrogen atom and atomic structure, Wavefunctions and probability, The de Broglie wavelength, The Schrödinger equation, Operators and observables, Expectation values and measurement, Potential steps and finite wells, The quantum harmonic oscillator, Quantum numbers and atomic orbitals, The Pauli exclusion principle, Band theory of solids, Quantum statistics: Fermi-Dirac and Bose-Einstein, The Heisenberg picture and time-dependent perturbation theory, Basics of molecular quantum mechanics

Covered

Mapped concepts: Vectors in space, The dot product, The cross product, Lines and planes in space, Vector fields and the gradient, Divergence and curl, The divergence and Stokes' theorems, Partial derivatives, Multiple integrals, Matrices, Eigenvalues and eigenvectors, Tensor algebra and curvilinear coordinates, Dynamical systems and phase portraits

Covered

Mapped concepts: Coupled and driven oscillators, Lagrangian mechanics, Moment of inertia and rotational dynamics, Rotational kinetic energy, Torque and angular momentum, Displacement, velocity and acceleration, Conservation of energy, Central force motion and orbits, Non-inertial frames and fictitious forces, Hamiltonian mechanics, The Lorentz force, Liouville's theorem and phase space, Noether's theorem and symmetries, Nonholonomic constraints and Lagrange multipliers, Canonical transformations and Hamilton–Jacobi theory

Covered

Mapped concepts: Signals and Fourier analysis, Wave properties: amplitude, wavelength and frequency, Interference and diffraction, Resonance

Covered — Theory covered — bench work needs a real lab

Mapped concepts: Capacitance, Coulomb's law, Dielectrics and capacitor energy, Electric fields, Electric power and Joule heating, Electromagnetic induction, Inductance and RL circuits, Kirchhoff's laws and circuit analysis, The Lorentz force, Magnetic fields, Resistivity and conductivity, Voltage and resistance, Spin and angular momentum in quantum mechanics, RC and RL circuit transients, LC and RLC oscillations, AC circuits and impedance, The Hall effect, Charged particle motion: mass spectrometry and cyclotrons, Magnetic materials and ferromagnetic hysteresis, Thermionic emission and vacuum tube devices, The Millikan oil-drop experiment and the elementary charge

Covered — Theory covered — bench work needs a real lab

Mapped concepts: Lenses and focal length, Polarization of light, Snell's law, Total internal reflection

Covered — Theory covered — bench work needs a real lab

Mapped concepts: Centre of mass, Elastic and inelastic collisions, Friction, Projectile motion, Combining uncertainties, Displacement, velocity and acceleration, Momentum and impulse, Newton's first law, Newton's second law, Newton's third law, Phase transitions, Scalars and vectors, Significant figures, Specific heat capacity, Thermal expansion, Uncertainty and error, Work and energy, Mechanical deformation: elasticity and plasticity, Moment of inertia and rotational dynamics, Rotational kinetic energy, Sound waves and intensity, Drag and terminal velocity, Ideal gas law, Thermodynamic processes

Covered

Mapped concepts: Spectroscopy, Quantised energy levels in atoms, Photons and quanta, The hydrogen atom and atomic structure, The wave nature of light, Signals and Fourier analysis, Lasers and stimulated emission, The Michelson interferometer, Photodetectors: PMTs and CCDs, Raman and fluorescence spectroscopy

Covered

Mapped concepts: Radioactive decay modes, Radioactivity and half-life, Compton scattering, The photoelectric effect, X-rays and their production, Statistical distributions in measurement, Ionizing radiation detection and dosimetry

Not covered yet

Covered

Mapped concepts: First-order differential equations, Second-order differential equations, Infinite series, The divergence and Stokes' theorems, The Schrödinger equation, Separation of variables and Sturm-Liouville problems, Classification of PDEs: parabolic, hyperbolic, elliptic, The Laplace transform, The Green's function method, Bessel functions, Legendre polynomials and other special functions

Covered

Mapped concepts: The greenhouse effect and planetary energy balance, Stellar classification and the Hertzsprung-Russell diagram, Hubble's law and the expanding universe, Kepler's laws of planetary motion, Non-inertial frames and fictitious forces, Spectroscopy, Plate tectonics and Earth's interior, Atmospheric and ocean physics

Not covered yet

Covered

Mapped concepts: Complex numbers, Polar and exponential form, Functions of a complex variable, Residue theorem and contour integration, Laurent series and singularities, Conformal mapping

Covered

Mapped concepts: The greenhouse effect and planetary energy balance, Stellar classification and the Hertzsprung-Russell diagram, Hubble's law and the expanding universe, Kepler's laws of planetary motion, Non-inertial frames and fictitious forces, Spectroscopy, Plate tectonics and Earth's interior, Atmospheric and ocean physics, Solar system formation and planetary astronomy, Stellar evolution and compact objects, Dark matter and galactic structure, General relativity and cosmological models

Covered

Mapped concepts: Mean free path and vacuum regimes, Kinetic theory of gases, Ideal gas law, Real gases and the van der Waals equation, Phase transitions, Heat transfer mechanisms, Thermal expansion, Superconductivity, Pressure in fluids

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: Crystal structure and lattices, Band theory of solids, Semiconductors and doping, Superconductivity, Lasers and stimulated emission

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: SI definitions, traceability and calibration, Physical quantities and units, Measurement, precision and accuracy, Uncertainty and error, Combining uncertainties, Propagation of uncertainty through functions, Significant figures, Statistical distributions in measurement

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: Thin-film deposition and growth, Mean free path and vacuum regimes, Crystal structure and lattices, Thin-film interference, Surface tension and capillarity, Phase transitions

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: Bragg diffraction and crystal structure determination, Crystal structure and lattices, X-rays and their production, Interference and diffraction, Wave properties: amplitude, wavelength and frequency, Measurement, precision and accuracy

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: Quantum confinement and low-dimensional materials, Band theory of solids, Semiconductors and doping, Particle in a box, Quantum statistics: Fermi-Dirac and Bose-Einstein, Lasers and stimulated emission, Crystal structure and lattices, The Hall effect

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: Quantum tunneling, Potential steps and finite wells, Particle in a box, Band theory of solids, Semiconductors and doping, Lasers and stimulated emission, Superconductivity, Quantum statistics: Fermi-Dirac and Bose-Einstein, The Pauli exclusion principle, The photoelectric effect, The de Broglie wavelength, Quantised energy levels in atoms

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: Maxwell's equations, Electromagnetic waves in media, Dielectrics and capacitor energy, Magnetic materials and ferromagnetic hysteresis, Electric dipole radiation, The Poynting vector, Polarization of light, Dispersion and chromatic effects, Gauss's law, Ampère's law

No syllabus text was captured for this course in the source scrape.

Not covered yet

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: Random walks and diffusion, Brownian motion and the Stokes–Einstein relation, Markov chains and the memoryless property, Statistical distributions in measurement, The Maxwell-Boltzmann distribution, Probability, Random variables and distributions, Common probability distributions

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: Fixed points and phase-plane stability, Bifurcations and the loss of stability, Deterministic chaos and Lyapunov exponents, Limit cycles and Poincaré sections, Damped oscillations, Coupled and driven oscillators, Resonance, Eigenvalues and eigenvectors, Matrices, First-order differential equations, Second-order differential equations

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: Aerosols and particulate measurement, Atmospheric and ocean physics, Rayleigh and Mie scattering, Measurement, precision and accuracy, SI definitions, traceability and calibration, Uncertainty and error, Spectroscopy, The greenhouse effect and planetary energy balance

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: Atmospheric and ocean physics, The greenhouse effect and planetary energy balance, Heat transfer mechanisms, Ideal gas law, Phase transitions, Non-inertial frames and fictitious forces, Pressure in fluids, Blackbody radiation and Planck's law

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: Numerical methods in computing, Data structures and algorithms, Algorithms and program structure

No syllabus text was captured for this course in the source scrape.

Not covered yet

No syllabus text was captured for this course in the source scrape.

Not covered yet

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: Wavefunctions and probability, Operators and observables, Expectation values and measurement, Spin and angular momentum in quantum mechanics

No syllabus text was captured for this course in the source scrape.

Covered

Mapped concepts: Stellar classification and the Hertzsprung-Russell diagram, Stellar evolution and compact objects, Solar system formation and planetary astronomy, Hubble's law and the expanding universe, Dark matter and galactic structure, General relativity and cosmological models, Kepler's laws of planetary motion, Newtonian gravitation, Blackbody radiation and Planck's law, Spectroscopy, The Doppler effect, Optical instruments and magnification

No syllabus text was captured for this course in the source scrape.

Not covered yet

No syllabus text was captured for this course in the source scrape.