MATH 210 at the University of British Columbia is an introduction to mathematical computing with Python and Jupyter. We start with basic Python programming including datatypes, logic, loops and functions and then we explore scientific computing packages NumPy, SciPy and Matplotlib. We use these packages to solve problems in calculus, linear algebra, differential equations and data visualization.
| Date | Notebook | Topics | Resources |
|---|---|---|---|
| September 5 | notes-2018-09-05 | Jupyter notebooks | Jupyter |
| September 7 | notes-2018-09-07 | Markdown and LaTeX | Markdown, LaTeX, math symbols and Detexify |
| September 10 | notes-2018-09-10 | Numbers, variables and sequences | Python tutorial |
| September 12 | notes-2018-09-12 | Sequences, list comprehensions and series | Sequences and series in Python, and list comprehensions |
| September 14 | notes-2018-09-14 | Series and functions | Taylor series and functions |
| September 17 | notes-2018-09-17 | Functions and logic | Functions and logic |
| September 19 | notes-2018-09-19 | Logic and loops | Logic and loops |
| September 21 | notes-2018-09-21 | For loops and while loops | Loops |
| September 24 | notes-2018-09-24 | Bisection method | Roots and optimization and bisection method |
| September 26 | notes-2018-09-26 | Secant method | Roots and optimization and secant method |
| September 28 | notes-2018-09-28 | Newton's method | Roots and optimization and Newton's method |
| October 1 | notes-2018-10-01 | Introduction to SciPy | SciPy, NumPy and Matplotlib |
| October 3 | notes-2018-10-03 | NumPy arrays | NumPy tutorial, Matplotlib and (more) NumPy |
| October 5 | notes-2018-10-05 | More NumPy arrays | NumPy arrays |
| October 10 | notes-2018-10-10 | Plotting with Matplotlib | Pyplot commands |
| October 12 | notes-2018-10-12 | Riemann Sums | Riemann sums |
| October 15 | - | Riemann Sums: Error Formulas | Riemann sums |
| October 17 | notes-2018-10-17 | Trapezoid Rule | Trapezoid rule |
| October 19 | notes-2018-10-19 | Trapezoid Rule: Error Formulas | Trapezoid rule and nonelementary integrals |
| October 22 | notes-2018-10-22 | Example: Bessel Functions | Trapezoid rule and Bessel functions |
| October 24 | notes-2018-10-24 | Numerical Differentiation | Numerical differentiation and finite differences |
| October 26 | notes-2018-10-26 | Example: Arc length | Arc length |
| October 29 | notes-2018-10-29 | Linear algebra with SciPy | scipy.linalg documentation |
| November 2 | notes-2018-11-02 | Linear systems | scipy.linalg.solve |
| November 5 | notes-2018-11-05 | Gaussian elimination and interpolation | Interpolation |
| November 7 | notes-2018-11-07 | Interpolation and linear regression | Linear regression and Vandermonde matrix |
| November 9 | notes-2018-11-09 | Linear regression (continued) | |
| November 14 | notes-2018-11-14 | Polynomial regression | Polynomial regression |
| November 16 | notes-2018-11-16 | Eigenvalues and eigenvectors | Eigenvalues/eigenvectors, simple graphs and the adjacency matrix |
| November 19 | notes-2018-11-19 | Applications: graphs, linear systems of ODEs | Adjacency matrix and linear systems of ODEs |
| November 21 | notes-2018-11-21 | Applications: linear system of ODEs | Linear systems of ODEs |
| November 23 | notes-2018-11-23 | Euler's method | Euler's method |
| November 26 | notes-2018-11-26 | Euler's method and scipy.integrate.odeint | scipy.integrate.odeint |
| November 28 | notes-2018-11-28 | Second order equations | Vibrations and Van der pol oscillator |
| November 30 | notes-2018-11-30 | Planetary orbits | Orbits and Euler's 3-body problem |