Analysis III

MATH-202(c) / 5 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. Fourier transforms. Identity of Plancherel. Laplace transforms. Applications to ordinary differential equations. Applications to partial differential equations.

Learning Prerequisites

Required courses

Analyse I, Analyse II, Algèbre linéaire.

Analysis I, Analysis II, Linear algebra.

Assessment methods

Written exam

Resources

Moodle Link

In the programs

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

Reference week

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