Lectures and lab classes

Week 0

Revise Python for the class test with:

• Python basics – Slides (PDF, 134KB)

• Python basics – Videos

Week 1

• Lecture 1: Introducing the course (PDF, 160KB)

• Lab class 1: Jupyter notebook (PDF, 100KB)

• Solutions: HTML | .ipynb (6KB)

• Class discussion (PDF, 141KB)

Week 2

• Lecture 2: Arrays in numpy (PDF, 137KB)

• Class test 1 (.ipynb, 9KB)

• Class test 1 answers

• The Mandelbrot set (PDF, 96KB)

Week 3

• Lecture 3: Plotting (PDF, 598KB)

• Lab class 3: matplotlib (PDF, 174KB)

• Solutions: HTML | .ipynb (140KB)

• The logistic map (PDF, 155KB)

Week 4

• Lecture 4: Ordinary differential equations (PDF, 488KB)

  • logistic.py (689B)

  • van_der_Pol.py (838B)

• Lab class 4: Solving ODEs with odeint() (PDF, 141KB)

• Solutions: HTML | .ipynb (247KB)

Week 5

• Lecture 5: Numerical methods for ODEs (PDF, 197KB)

• Lab class 5: Explicit methods for ODEs (PDF, 157KB)

• Solutions: HTML | .ipynb (99KB)

Week 6

• Lecture 6: Implicit methods for ODEs (PDF, 204KB)

• Lab class 6: Implicit methods for ODEs (PDF, 127KB)

• Solutions: HTML | .ipynb (106KB)

Week 7

• Lecture 7: Curve fitting (PDF, 160KB)

  • Example 1: linear_model_fit.py (624B)

  • Example 2: nonlinear_model_fit.py (868B)

• Lab class 7: Fitting data (PDF, 170KB)

• Solutions: HTML | .ipynb (108KB)

Week 8

• Lecture 8: Linear systems and conditioning (PDF, 214KB)

• Lab class 8: Gauss-Jordan elimination (PDF, 208KB)

  • gauss-jordan1.py (946B)

  • gauss-jordan2.py (807B)

  • gauss-jordan3.py

• Solutions: HTML | .ipynb (7KB)

Week 9

• Lecture 9: Animations (PDF, 593KB)

• Lab class 9: Animations (PDF, 189KB)

  1. sinwave.py (554B)

  2. logistic.py (841B)

  3. fractal_anim.py (852B)

  4. vanderpol.py (880B)

  5. lorenz.py (2KB)

  6. particle_box.py (5KB)

     • Codes 5 and 6 by J Vanderplas

• Solutions: HTML | .ipynb (194KB)

Week 10

• Lecture 10: The discrete Fourier transform (PDF, 707KB)

  • fft_signal.py (922B)

  • fft_examples.py (1KB)

  • gibbs.py (277B)

• Lab class 10: Discrete Fourier transform (PDF, 323KB)

• Solutions: .ipynb (135KB)