Theory and Applications of Differential Equations - MATH2121
Faculty: Faculty of Science
School: School of Mathematics and Statistics
Course Outline: http://www.maths.unsw.edu.au/
Campus: Sydney
Career: Undergraduate
Units of Credit: 6
EFTSL: 0.12500 (more info)
Indicative Contact Hours per Week: 4
Enrolment Requirements:
Prerequisite: MATH1231 or MATH1241 or MATH1251
Excluded: MATH2018, MATH2019, MATH2020, MATH2029, MATH2059, MATH2120, MATH2130, MATH2221
CSS Contribution Charge: 2 (more info)
Tuition Fee: See Tuition Fee Schedule
Further Information: See Class Timetable
Available for General Education: Yes (more info)
View course information for previous years.
Description
The following topics are treated both theoretically and with illustrative applications in physics, engineering and biology.
Ordinary differential equations: first order, linear second order, variation of parameters, dynamical systems, power series representations and Frobenius method, orthogonal functions and Fourier series, initial and boundary value problems, eigenfunction expansions, Bessel's equation.
Partial differential equations: classification, method of separation of variables, application of Fourier series, heat equation, wave equation, Laplace's equation, applications of Bessel functions.
Ordinary differential equations: first order, linear second order, variation of parameters, dynamical systems, power series representations and Frobenius method, orthogonal functions and Fourier series, initial and boundary value problems, eigenfunction expansions, Bessel's equation.
Partial differential equations: classification, method of separation of variables, application of Fourier series, heat equation, wave equation, Laplace's equation, applications of Bessel functions.
Study Levels
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