Analysis III (for IC)

MATH-203(d) / 6 credits

Teacher: Antolin Sanchez Pablo

Language: English

Summary

The course studies the fundamental concepts of vector analysis and Fourier-Laplace analysis with a view to their use in solving multidisciplinary problems in scientific engineering.

Content

Vector analysis

  • The gradient, curl, divergence and Laplacian operators.
  • Curvilinear integrals and surface integrals.
  • Vector and potential fields.
  • Green's, divergence, and Stokes' theorems.

Fourier analysis and Laplace transforms

  • Fourier series
  • Identity of Parceval.
  • Distributions.
  • Fourier transforms.
  • Identity of Plancherel.
  • Applications to ordinary differential equations.
  • Applications to partial differential equations.

Learning Prerequisites

Required courses

Analyse I, Analyse II, Algèbre linéaire.

Teaching methods

Ex cathedra lectures and exercises sessions.

Assessment methods

Written exam.

Supervision

Office hours No
Assistants Yes
Forum Yes

Resources

Virtual desktop infrastructure (VDI)

No

Bibliography

B. Dacorogna et C. Tanteri, Analyse avancée pour ingénieurs, PPUR 2018.

Ressources en bibliothèque

Notes/Handbook

Course notes will be provided

Moodle Link

Prerequisite for

Analysis IV

In the programs

  • Semester: Fall
  • Exam form: Written (winter session)
  • Subject examined: Analysis III (for IC)
  • Courses: 3 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Fall
  • Exam form: Written (winter session)
  • Subject examined: Analysis III (for IC)
  • Courses: 3 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Fall
  • Exam form: Written (winter session)
  • Subject examined: Analysis III (for IC)
  • Courses: 3 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory

Reference week

Wednesday, 8h - 10h: Lecture STCC - Cloud C

Thursday, 13h - 14h: Lecture STCC - Cloud C

Thursday, 14h - 16h: Exercise, TP GCC330
GCA1416
CE15
CE1103
CM1104

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