Heat diffusion
Solve the 2D heat equation by finite differences and animate the solution.
All pathsDiscover Coursera PlusAfter step 2 After step 3 After step 4
Physics & maths · 37Intermediate
Scientific Computing Specialist
Researchers or engineers who model and simulate.
Python, differential equations and numerical methods in MATLAB, mathematics for machine learning and data analysis.
420hours of coursework
42weeks at 10 h
4steps
18courses
4universities
Target skills
Python ProgrammingApplied MathematicsDerivativesCalculusLinear AlgebraGeometryModel OptimizationDimensionality ReductionMachine LearningRegression AnalysisData ProcessingRestful API
Skill labels as listed on Coursera.
Target jobs
- Scientific computing engineer
- Simulation engineer
- Modelling researcher
Progression
- 1University of MichiganBeginnerPython, SQL, SQLite
Stated prerequisites: No prerequisites; designed as an on-ramp to programming
Show the 5 courses
Course Level Length Rating (reviews) Programming for Everybody (Getting Started with Python) Beginner 17 h 4.8 (233,775) Python Data Structures Beginner 20 h 4.9 (97,365) Using Python to Access Web Data Beginner 19 h 4.8 (44,591) Using Databases with Python Beginner 14 h 4.8 (21,659) Capstone: Retrieving, Processing, and Visualizing Data with Python Beginner 9 h 4.7 (14,483) - 2The Hong Kong University of Science and TechnologyBeginnerMATLAB
Stated prerequisites: Single variable calculus and some computer programming ability
Show the 5 courses
Course Level Length Rating (reviews) Matrix Algebra for Engineers Beginner 20 h 4.9 (4,726) Differential Equations for Engineers Beginner 27 h 4.9 (2,251) Vector Calculus for Engineers Beginner 30 h 4.8 (1,425) Numerical Methods for Engineers Intermediate 40 h 4.8 (451) Mathematics for Engineers: The Capstone Course Intermediate 10 h 5.0 (45) - 3Imperial College LondonBeginnerPython, NumPy
Stated prerequisites: High school maths; basic Python helpful for course 3
Show the 3 courses
Course Level Length Rating (reviews) Mathematics for Machine Learning: Linear Algebra Beginner 19 h 4.6 (12,618) Mathematics for Machine Learning: Multivariate Calculus Beginner 18 h 4.7 (5,786) Mathematics for Machine Learning: PCA Intermediate 21 h 4.0 (3,190) - 4University of Colorado BoulderIntermediatePython
Stated prerequisites: Data Wrangling with Python specialization or equivalent skills
Show the 5 courses
Course Level Length Rating (reviews) Classification Analysis Intermediate 38 h — Regression Analysis Intermediate 40 h 4.9 (10) Clustering Analysis Intermediate 37 h 4.5 (11) Association Rules Analysis Intermediate 23 h 4.8 (13) Data Analysis with Python Project Intermediate 18 h —
With Coursera Plus
This path takes 420 hours, about 10 months at 10 hours a week. A Coursera Plus subscription gives access to most of its courses during that time.
Projects to build
Image compression
Compress an image by singular value decomposition and measure quality by rank.
Calibrate a model
Fit the parameters of an SIR epidemic model to real data by optimisation.
Free textbooks
Python for EverybodyCharles R. SeveranceFree, CC BY 4.0
Notes on Diffy QsJiří LeblFree, CC BY-SA 4.0
Mathematics for Machine LearningM. P. Deisenroth, A. A. Faisal, C. S. OngFree PDF
Python for Data Analysis, 3rd ed.Wes McKinneyOpen access online