Enroll Course: https://www.coursera.org/learn/analyse-numerique
Are you an engineering student seeking to enhance your computational skills? Look no further than the Coursera course ‘Analyse numérique pour ingénieurs’. This course offers a comprehensive introduction to numerical analysis, crucial for any engineer’s toolkit.
Drawing from the book ‘Introduction à l’analyse numérique’ by J. Rappaz and M. Picasso, this course spans the first seven chapters, making it an ideal starting point for those who wish to delve into the discipline of numerical methods.
**Course Structure**
The course is segmented into key themes related to numerical analysis:
1. **Interpolation**: Learn about Lagrange interpolation and interpolation over intervals, which are essential for estimating values from discrete data points.
2. **Numerical Differentiation**: This section introduces finite difference formulas to calculate first and second derivatives, a foundational concept in numerical methods.
3. **Numerical Integration**: Students will explore quadrature formulas, weights, and integration points, along with detailed methodologies like Gaussian quadrature.
4. **Solving Linear Systems**: Master fundamental techniques such as Gaussian elimination, LU decomposition, and LL^T decomposition to address linear systems.
5. **Nonlinear Equations and Systems**: Discover methods to tackle nonlinear equations using fixed-point methods and the Newton method.
6. **Differential Equations**: Focus on first-order differential equations, including existence, uniqueness, and the Euler methods for both linear and nonlinear systems.
7. **Boundary Value Problems**: Engage with one-dimensional linear boundary value problems and the finite difference method.
8. **Final Exam**: Test your understanding with a final exam, accounting for 30% of your total grade.
**Why Take This Course?**
The course not only equips you with theoretical knowledge but also provides practical applications of numerical methods, enhancing your analytical skills for real-world engineering challenges. By the end of the course, you will have a deeper understanding of how to apply these techniques to solve complex mathematical problems efficiently.
Whether you’re pursuing a career in engineering, applied mathematics, or physics, ‘Analyse numérique pour ingénieurs’ is a must-take. Enroll today on Coursera and start your journey into the fascinating world of numerical analysis!
Enroll Course: https://www.coursera.org/learn/analyse-numerique