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Physics and Astrophysics 1st Year Tutorial Archive

Tutorial Materials

I designed these tutorial materials for first-year undergraduate students in Maths with Physics and Physics with Astrophysics. 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
  • Week 19: see "Integration" worksheet

Accessibility

You can find the PDF versions of my tutorial materials available here. Additionally, I offer accessible versions in DOC, DOCX, and ODT formats, specifically designed for non-visual students. Feel free to reach out to me if you need these formats.

  NameSelect to sort (ascending) DescriptionSelect to sort (ascending) File Size Last UpdatedSelect to sort (ascending) KeywordsSelect to sort (ascending)
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 Free falling of two stacked balls. What is the ballistic velocity of a supernova expansion? 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) 02/03/25 Physics, Tutorial Resources
PDF document Week 15 additional notes A paper that shows the velocity map of the filaments in Crab nebula. This is to demonstrate the outer layer of the supernova remnant has a higher velocity than the inner layer. (17 MB) 02/03/25 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 (96 KB) 06/02/25 Physics, Tutorial Resources
PDF document Week 19 additional notes Gravitational and inertia mass, moment of inertia and the Equivalence Principles (143 KB) 06/02/25 Physics, Tutorial Resources
PDF document Week 21 Charging a capacitor, energy conservation in circuits, resistors, ladder network, Delta-Wye transformation, engineering, computational circuits (290 KB) 21/02/25 Tutorial Resources, Physics
PDF document Week 22 A taste of E&M field using an example of a moving parallel plate capacitor, Special Relativity (32 KB) 21/02/25 Physics, Tutorial Resources
PDF document Week 23 A first taste of astrophysical research: Write a Python code to calculate an exoplanet transient light curve and compare your model with the Spitzer data of DS Tuc A; Python; Learn how to ask questions (405 KB) 02/03/25 Physics, Tutorial Resources
PDF document Week 23 additional notes A journal paper that measures the dynamical properties of DS Tuc A using TESS and Spitzer data (1.9 MB) 02/03/25 Physics, Tutorial Resources
PDF document Week 24 How to write a good lab report? Measuring g using a pendulum (48 KB) 11/03/25 Physics, Tutorial Resources
PDF document Week 24 additional notes How to write a good lab report? Measuring g using a pendulum (316 KB) 11/03/25 Physics, Tutorial Resources

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