Free online course Computational Physics in Python
Duration of the online course: 35 hours and 45 minutes
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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
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 11h17m
Exercise: What happens to the record button when screen sharing starts?
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 21h14m
Exercise: What determines if a point is in the Mandelbrot set?
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 31h19m
Exercise: Which Python library is used for fast numerical operations involving multiple loops?
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 41h23m
Exercise: What does F2Py compiler in Python help with?
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 51h21m
Exercise: What is the main purpose of a Makefile in programming?
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 61h34m
Exercise: How does OpenMP handle parallelism for multi-core processors?
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 71h30m
Exercise: What is the key challenge in calculating Bessel functions numerically?
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 81h21m
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 91h22m
Exercise: Understanding Python Class Variables
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 101h23m
Exercise: How to access specific data using NumPy slicing techniques?
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 111h24m
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 121h17m
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 131h26m
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 141h23m
Exercise: What method is particularly suited for solving the Schrödinger equation?
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 151h19m
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 161h25m
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 171h23m
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 181h21m
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 191h25m
Exercise: What is the primary approach used in the function to reduce noise?
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 201h21m
Exercise: Understanding Changes in the Vegas Algorithm Implementation
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 211h23m
Exercise: What is the key concept of Monte Carlo importance sampling?
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 221h20m
Exercise: What determines the acceptance of spin flips in Ising model simulations?
Video class: Computational Physics in Python, Rutgers University, 2021, lecture 231h21m
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 241h22m
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 251h17m
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 261h22m
Exercise: What is the primary goal of the simulated annealing process in the traveling salesman problem outlined in the transcript?