Free Course Image Computational Physics in Python

Free online courseComputational Physics in Python

Duration of the online course: 35 hours and 45 minutes

2

StarStar

(1)

Build real-world physics simulation skills with this free Python course—numerical methods, Monte Carlo and modeling tools to boost study and career results.

In this free course, learn about

  • Python tools for computational physics: arrays, plotting, profiling, numerical best practices
  • Fast numerical computing: NumPy vectorization; Numba/JIT for speeding multi-loop code
  • Interfacing/compiling code: F2Py to wrap Fortran; Makefiles to automate builds
  • Parallelism basics: OpenMP shared-memory multithreading for multi-core CPUs
  • Fractals: iteration criterion for membership of a point in the Mandelbrot set
  • Numerical special functions: stability issues in computing Bessel functions
  • Data structures/OOP: dict keys incl. tuples; class vs instance variables in Python
  • Array data access: NumPy slicing/indexing to extract and manipulate subarrays
  • Solving ODEs: why use different integrators; accuracy vs stability tradeoffs
  • Root finding: SciPy methods for multi-dimensional nonlinear equation solving
  • Schrödinger equation numerics: stable integration for decaying solutions; suitable solvers
  • Monte Carlo integration: 1/sqrt(N) error; importance sampling and optimal weight choice
  • Vegas algorithm: adaptive stratified/importance sampling; implementation and noise reduction
  • Statistical physics & optimization: Ising Metropolis acceptance; Wang-Landau; annealing/TSP

Course Description

Turn core physics ideas into working code and learn how scientists and engineers explore systems that are too complex for pencil-and-paper math. In this free online course, you will use Python to model, simulate, and analyze physical problems with the mindset of computational physics: choose an approach, implement it efficiently, validate results, and interpret what the numbers mean. It is designed for learners who want more than formulas, aiming to gain practical problem-solving skills that translate to exams, research projects, and technical roles where simulation and data-driven reasoning matter.

Throughout the lessons, you will strengthen your Python foundations in a way that serves computation: working with arrays, slicing and indexing, structured code, and reusable components. You will also see why performance becomes a scientific issue, and how faster numerical workflows can come from optimized libraries, compiled extensions, and parallel thinking. The course builds intuition for accuracy and stability, highlighting why certain numerical choices succeed or fail and how to spot common pitfalls such as accumulated error, sensitivity to initial conditions, or unreliable approximations.

As you progress, you will connect algorithms to real physics use cases. You will work with iterative procedures and root-finding, explore ordinary differential equations as models of dynamical systems, and engage with techniques used in quantum problems such as the Schrödinger equation. You will also develop a practical understanding of randomness as a tool, using Monte Carlo ideas for high-dimensional integration and simulation, along with variance reduction and importance sampling strategies that make results more useful in realistic time.

The course experience emphasizes learning by doing: short exercises and targeted questions help you test understanding, reinforce concepts, and build confidence in translating a physical question into computational steps. By the end, you will be better prepared to read and write scientific Python code, evaluate numerical output critically, and approach new physics problems with a toolbox that scales from classroom assignments to research-style exploration.

Course content

  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 1 1h17m
  • Exercise: What happens to the record button when screen sharing starts?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 2 1h14m
  • Exercise: What determines if a point is in the Mandelbrot set?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 3 1h19m
  • Exercise: Which Python library is used for fast numerical operations involving multiple loops?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 4 1h23m
  • Exercise: What does F2Py compiler in Python help with?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 5 1h21m
  • Exercise: What is the main purpose of a Makefile in programming?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 6 1h34m
  • Exercise: How does OpenMP handle parallelism for multi-core processors?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 7 1h30m
  • Exercise: What is the key challenge in calculating Bessel functions numerically?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 8 1h21m
  • Exercise: Which data type in Python allows keys to be more generic, including tuples of integers?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 9 1h22m
  • Exercise: Understanding Python Class Variables
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 10 1h23m
  • Exercise: How to access specific data using NumPy slicing techniques?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 11 1h24m
  • Exercise: What is the purpose of using different methods in solving Ordinary Differential Equations (ODEs) with Skype?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 12 1h17m
  • Exercise: What method is used to solve the multi-dimensional root finding problem in Python's SciPy library?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 13 1h26m
  • Exercise: What is a more stable approach for integrating functions that decrease exponentially fast when solving the Schrödinger equation?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 14 1h23m
  • Exercise: What method is particularly suited for solving the Schrödinger equation?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 15 1h19m
  • Exercise: What is a key difference between solving a hydrogen atom problem and an LDA atomic problem?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 16 1h25m
  • Exercise: What is a common error scaling when using Monte Carlo methods for high-dimensional integrals?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 17 1h23m
  • Exercise: What is considered the best weight function in a Monte Carlo integration using importance sampling?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 18 1h21m
  • Exercise: What is a key feature of the Vegas algorithm as discussed in the class?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 19 1h25m
  • Exercise: What is the primary approach used in the function to reduce noise?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 20 1h21m
  • Exercise: Understanding Changes in the Vegas Algorithm Implementation
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 21 1h23m
  • Exercise: What is the key concept of Monte Carlo importance sampling?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 22 1h20m
  • Exercise: What determines the acceptance of spin flips in Ising model simulations?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 23 1h21m
  • Exercise: What is the advantage of moving through energy space in the Juan Plundo Algorithm?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 24 1h22m
  • Exercise: What is the primary challenge when using gradient methods for finding a global minimum in complex functions?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 25 1h17m
  • Exercise: What is the purpose of adding a known function in high dimensional integration using a Markov Chain?
  • Video class: Computational Physics in Python, Rutgers University, 2021, lecture 26 1h22m
  • Exercise: What is the primary goal of the simulated annealing process in the traveling salesman problem outlined in the transcript?

This free course includes:

35 hours and 45 minutes of online video course

Digital certificate of course completion (Free)

Exercises to train your knowledge

100% free, from content to certificate

Ready to get started?Download the app and get started today.

Install the app now

to access the course
Icon representing technology and business courses

Over 5,000 free courses

Programming, English, Digital Marketing and much more! Learn whatever you want, for free.

Calendar icon with target representing study planning

Study plan with AI

Our app's Artificial Intelligence can create a study schedule for the course you choose.

Professional icon representing career and business

From zero to professional success

Improve your resume with our free Certificate and then use our Artificial Intelligence to find your dream job.

You can also use the QR Code or the links below.

QR Code - Download Cursa - Online Courses

More free courses at Physics

Free Ebook + Audiobooks! Learn by listening or reading!

Download the App now to have access to + 5000 free courses, exercises, certificates and lots of content without paying anything!

  • 100% free online courses from start to finish

    Thousands of online courses in video, ebooks and audiobooks.

  • More than 60 thousand free exercises

    To test your knowledge during online courses

  • Valid free Digital Certificate with QR Code

    Generated directly from your cell phone's photo gallery and sent to your email

Cursa app on the ebook screen, the video course screen and the course exercises screen, plus the course completion certificate