Introduction to C++ and Numerical Methods

These lecture notes are a complement to the class and hopefully a good resource for the students.

Lecture Notes

Google Collab

Introduction to C++

• Introduction to Programming and C++
• Resources
• Very fast intro to the basics of c++

Numerical Calculus

• Numerical differentiation
• Common Numerical Integration Algorithms

Modern and primitive arrays, and basic Linear Algebra

• Modern arrays
• 1D Arrays for 2D Matrices
• Vector operations: Coefficient-wise , array computing

Linear Algebra and Numerical Libraries

• Linear Systems : Matrices, Vectors, eigen systems

Ordinary differential equations: Initial value problems

• Ordinary differential equations (and initial value problems)
• Introduction to molecular dynamics through OOP

Random Numbers and Applications

• Random Numbers
• Random numbers in simulations

Python introduction

• Python Programming (very fast) Introduction
• Basic data structures
• Matplotlib
• Efficient Python arrays : Numpy
• SciPy - Library of scientific algorithms for Python