Numerical analysis

MATH-251(b) / 4 credits

Teacher: Herbst Michael

Language: English

Summary

The students will learn key numerical techniques for solving standard mathematical problems in science and engineering. The underlying mathematical theory and properties are discussed.

Content

The topics covered include:

  • Linear and non-linear systems of equations
  • Finding roots and fixed points
  • Polynomial interpolation
  • Solving linear and non-linear equations
  • Gradient-based methods for solving linear and eigenproblems
  • Numerical integration and differentiation
  • Basic numerical techniques for solving differential equations

Assessment methods

Written

Resources

Bibliography

  • Tobin A. Driscoll, Richard J. Braun *Fundamentals of Numerical Computation*, SIAM (2022). Web version: https://tobydriscoll.net/fnc-julia/
  • MIT's Introduction to computational thinking: https://computationalthinking.mit.edu/

Ressources en bibliothèque

Websites

Moodle Link

In the programs

  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Numerical analysis
  • Courses: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Numerical analysis
  • Courses: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Numerical analysis
  • Courses: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Numerical analysis
  • Courses: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: optional

Reference week

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