Resources

SageMath

• SageMath webpage
• SageMath tutorial
• SageMath documentation: Tutorials, Guides, Cookbooks in various languages
• SageMath for Newbies
• William Stein's SageMath course (2014)

Python

• Python webpage
• Python tutorial: great place to start learning about Python.
• Dive into Python: a book about Python for those who already know some programming. Chapters 2--5 provide a good foundation.
• Learn Python in 10 minutes

Other

• Project Euler: a series of challenging mathematical/computer programming problems. These will be your homework problems.

Day 1

Introduction to SageMath

• Introduction to SageMath
• Worksheet 1: Getting help from within SageMath
• Worksheet 2: The notebook as an interface
• Worksheet 3: Basic matrices
• Worksheet 4: Basic calculus

Introduction to Python

• Worksheet 5: First steps towards programming
• Worksheet 6: Lists

Homework

• Homework 1: Install SageMath and do the first three Project Euler problems.

Day 2

Python

• Worksheet: Functions
• Worksheet: Functional programming tools
• Worksheet: Tuples
• Worksheet: Sets
• Worksheet: Strings
• Worksheet: Dictionaries
• Worksheet: Looping techniques

SageMath

• Worksheet: 2D Graphics, Plotting and Visualization

Homework

• Continue working on Project Euler problems.
• Plot your favourite 2D functions.

Day 3

Object-Oriented Programming: Classes and Inheritance

• Worksheet: Objects and classes
• Worksheet: Class Inheritance

Homework

• See the worksheets.

Day 4

Exercises

• Euler problem 7: What is the 10001st prime number?
• Euler problem 10: Find the sum of all the primes below two million.

SageMath

• Worksheet: Introduction to Cython
• Sagetex: SageMath + LaTeX.
  • You need to copy sagetex.sty and sagetex.py into your working directory.
  • Here are some examples: example.pdf, example.tex.
  • And a LaTeX template file: template.tex.
  • To compile:
    • pdflatex filename.tex
    • sage filename.sage
    • pdflatex filename.tex