Enroll Course: https://www.coursera.org/learn/analyse-numerique
Course Overview
Are you an engineering student or a professional looking to strengthen your skills in numerical analysis? If so, the Coursera course ‘Analyse numérique pour ingénieurs’ may be the perfect fit for you. Designed for bachelor students at EPFL, this course dives deep into foundational concepts of numerical analysis, following the textbook by J. Rappaz and M. Picasso. Over the span of the course, learners will embark on a journey through the crucial components of numerical analysis crucial for engineers, including interpolation, numerical differentiation and integration, solving linear and non-linear systems, and more.
Course Structure
The course comprises seven chapters, introducing students to vital numerical techniques:
- Interpolation: Learn about Lagrange interpolation and interval interpolation techniques.
- Numerical Differentiation: Discover finite difference formulas to approximate first and second derivatives.
- Numerical Integration: Dive into quadrature formulas, integration points, and Gaussian formulas.
- Solving Linear Systems: Engage in Gaussian elimination, LU decomposition, and LL^T decomposition.
- Non-linear Equations: Explore non-linear equations, fixed-point methods, and the Newton method.
- Ordinary Differential Equations: Understand first-order differential equations and numerical solutions using Euler’s method.
- One-Dimensional Boundary Value Problems: Tackle linear and non-linear boundary value problems using finite difference methods.
The completion of the course culminates in a final exam, accounting for 30% of the final grade, ensuring that students grasp the material adequately.
Why Take This Course?
This course is not only well-structured and comprehensive, but it is also highly applicable for engineering professionals. The practical applications of numerical techniques across various fields such as aerospace, civil engineering, and data science make this course invaluable. Moreover, the learning materials are well-curated, providing a strong theoretical and practical foundation needed for anyone looking to excel in engineering disciplines.
A Personal Recommendation
Having gone through numerous technical courses, I can confidently recommend ‘Analyse numérique pour ingénieurs’. The clarity of explanations paired with practical exercises significantly enhances understanding and retention of complex concepts. The course is accessible to anyone with a basic understanding of calculus and linear algebra, making it suitable for a wide audience.
In conclusion, if you want to build a strong base in numerical methods that will prove beneficial throughout your engineering career, I highly recommend enrolling in this course!
Enroll Course: https://www.coursera.org/learn/analyse-numerique