数学物理理学学士荣誉学士

课程模块Modules

• 年一Year one
• 年二Year two
• Year three

5 modules

• 古典力学classical mechanics
• relativity
• vibrations and waves
• 量子物理quantum physics
• thermal physics
• linear algebra: systems of linear equations; introduction to matrices and matrix algebra
• analysis: the real numbers; sequences; infinite series; limits and continuity of functions
• programming in python: variables; logic and loops; functions; plotting graphs; debugging
• linear algebra: vector spaces; linear maps; eigenvalues and eigenvectors
• analysis: single-variable and multi-variable calculus (differential and integral)

4 modules

• 量子vs古典州Quantum vs classical states
• Fourier series and transforms: translating from position to momentum space
• The Heisenberg uncertainty principle (particularly from a Fourier perspective)
• The time-dependent and time-independent Schrödinger equation
• Bound and unbound states, scattering and tunnelling
• Wavepackets
• The subtleties of the particle in a box
• Operators, observables, and the thorny measurement problem
• Matrix mechanics and Dirac notation
• The quantum harmonic oscillator
• Conservation and correspondence principles
• Angular momentum
• Stern-Gerlach experiment
• Spin
• Zeeman effect, Rabi oscillations
• 2D与3D系统2D and 3D systems
• Degeneracies
• Hydrogen atom and the radial Schrödinger equation
• Entanglement and non-locality
• and, of course, that ever-frustrating feline

3 modules

• 纯数学Pure Mathematics
• 应用数学Applied Mathematics
• 数据分析Data Analysis
• 数学物理Mathematical Physics

13 modules

• observational evidence for the Big Bang
• how the expansion of the Universe depends on its contents and geometry
• how the contents of the Universe evolve as it expands and cools
• dark matter and dark energy: observational evidence and the latest theoretical models
• inflation, a proposed period of accelerated expansion in the very early Universe
• 人口动力学population dynamics
• biological oscillations
• pattern formation
• nonlinear growth phenomena