Brock University · MATH 3P08

Advanced Differential Equations: Sturm–Liouville

Official title : Advanced Differential Equations Sturm-Liouville

Credits : 0.5Reference year : 2024-25

This reference describes the indicated catalogue. Check with the institution to confirm the current offer and the conditions applicable to your intake.

Description

Advanced Differential Equations Sturm-Liouville theory for linear second-order differential equations. Series expansions by orthogonal functions.Fourier series;Hermite and Laguerre polynomials; Legendre functions and spherical harmonics.Emphasis on applications to physical science,including the harmonic oscillator,hydrogen atom,Schrodinger equation and electromagnetic waves. Use of Maple for graphing. Lectures, 3 hours per week; lab/tutorial, 1 hour per week. Prerequisite(s): MATH 2P08 . Note: this course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term.

Prerequisites

  • Prerequisite(s): MATH 2P08 .

Conditions and arrangements

  • Prerequisite(s): MATH 2P08 .
  • Note: this course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term.
Reference text in its original language

Advanced Differential Equations Sturm-Liouville theory for linear second-order differential equations. Series expansions by orthogonal functions.Fourier series;Hermite and Laguerre polynomials; Legendre functions and spherical harmonics.Emphasis on applications to physical science,including the harmonic oscillator,hydrogen atom,Schrodinger equation and electromagnetic waves. Use of Maple for graphing. Lectures, 3 hours per week; lab/tutorial, 1 hour per week. Prerequisite(s): MATH 2P08 . Note: this course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term.

  • Prerequisite(s): MATH 2P08 .
  • Note: this course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term.

Sources and references

Dates and sources are retained to help you verify the information. Translations are provided to facilitate reading; the official source governs conditions and requirements.

Source reference : https://brocku.ca/webcal/2024/undergrad/math.html

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