# Mathematical methods (for SPH)

## Summary

This course complements the Analysis and Linear Algebra courses by providing further mathematical background and practice required for 3rd year physics courses, in particular electrodynamics and quantum mechanics.

## Content

The course consists of a series of problems that illustrate the use of several mathematical methods (mostly taught in other courses): linear algebra, real and complex analysis, vector calculus, differential equations, Sturm-Liouville theory, special functions, Fourier series, Fourier transforms, theory of distributions, variational calculus, elements of group theory, probability and statistics.

## Learning Prerequisites

## Required courses

Analyse I, II and III. Linear algebra I and II Physics I, II, and III.

## Recommended courses

Linear Algebra I and II.

Analysis I, II, III and IV.

Probability and Statistics.

Analytical Mechanics.

## Learning Outcomes

By the end of the course, the student must be able to:

- Solve Physics and Mathematical problems using an appropriate method taught during the first two years of Bachelor.

## Transversal skills

- Demonstrate the capacity for critical thinking

## Teaching methods

Ex cathedra lecture and assisted exercises in the classroom

## Assessment methods

written exam

## Supervision

Assistants | Yes |

## Resources

## Bibliography

The main reference for the course is the book by Arfken:

G. B. Arfken, H. J. Weber, and F. E. Harris

"Mathematical Methods for Physicists, A Comprehensive Guide"

7th edition, Academic Press 2013.

Hard copies and electronic version available through EPFL library.

## Ressources en bibliothèque

## Moodle Link

## In the programs

**Semester:**Spring**Exam form:**Written (summer session)**Subject examined:**Mathematical methods (for SPH)**Lecture:**1 Hour(s) per week x 14 weeks**Exercises:**2 Hour(s) per week x 14 weeks**Type:**mandatory

## Reference week

Mo | Tu | We | Th | Fr | |

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21-22 |