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PX161-10 UG Tutorial Materials

I designed these tutorial materials for first-year undergraduate students in Maths with Physics and Physics with Astrophysics. In the Autumn term, they align with the curriculum of PX145 and PX155, providing comprehensive support for your studies. Feel free to contact me for solutions or additional guidance.


  • Week 2: see "Complex Number" worksheet
  • Week 6: see "Curve Sketching" worksheet
  • Week 9: see "Waves" worksheet
  Name Description File Size Last Updated Keywords
PDF document Week 3 Applications of vectors in kinematics and dynamics (234 KB) 15/11/24 Physics, Tutorial Resources
PDF document Week 4 How to launch a rocket (Potential, forces, and stable and unstable equilibrium) (433 KB) 15/11/24 Physics, Tutorial Resources
PDF document Week 5 How does a seismograph work? (Oscillations and differential equations for damped oscillations) (367 KB) 15/11/24 Physics, Tutorial Resources
PDF document Week 7 How does a gyroscope work? (Rotational mechanics, torques, angular momentum, moment of inertia and linear - rotational equivalencies ) (420 KB) 15/11/24 Physics, Tutorial Resources
PDF document Week 8 How does overtone work on a string instrument? (Waves and the transverse wave speed on a string) (358 KB) 15/11/24 Physics, Tutorial Resources
PDF document Week 10 Python exercise: visualise two-dimensional waves using Python and understand wave factors (142 KB) 02/12/24 Physics, Tutorial Resources
PDF document Week 15 What is gravity assist? How to make a new particle in a relativistic collision? (Newtonian and relativistic collisions, zero-momentum/centre-of-mass frames) (375 KB) 25/11/24 Physics, Tutorial Resources
PDF document Week 16 What is an ellipse? What are the mathematical properties of an ellipse? What are the three Kepler's Laws? How to prove Kepler's Laws using algebra? (111 KB) 16/01/25 Physics, Tutorial Resources
PDF document Week 16 additional notes Why is the path of a planet planar? (Lecture notes from Clark University) (172 KB) 16/01/25 Physics, Tutorial Resources
PDF document Week 17 Lorentz transformation, time dilation, length contraction, invariant speed of light (98 KB) 16/01/25 Physics, Tutorial Resources
PDF document Week 17 additional notes An introduction to the modern history of the time before Special Relativity and the Michelson–Morley experiment (Lecture notes from Case Western Reserve University, where the Michelson-Morley experiment took place) (1.3 MB) 16/01/25 Physics, Tutorial Resources
PDF document Week 18 Gauss's Law, electric field, gravitational field (139 KB) 23/01/25 Physics, Tutorial Resources

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