Academics
Dop Course Outline
OS2008 Engineering Mathematics Ⅱ
Last Revised: 2018-04-11
Course Objectives
This course covers concepts of ordinary and partial differential equations and methods to yield solutions. It aims to prepare students with basic mathematical tools for studying professional courses
in scientific and engineering fields.
Prerequisite
Textbook E. Kreyszig, Advanced Engineering Mathematics, 10th edition, Wiley (2010).
Topical Outline 1. Ordinary Differential Equations (ODEs)
(a) First-order ODEs
(b) Second-order linear ODEs
(c) Higher-order linear ODEs
(d) Power-series solutions of ODEs
(e) Special functions
2. Laplace Transform
3. Fourier Analysis
(a) Fourier series
(b) Fourier integral
(c) Fourier transform
4. Partial Differential Equations (PDEs)
in scientific and engineering fields.
Prerequisite
Textbook E. Kreyszig, Advanced Engineering Mathematics, 10th edition, Wiley (2010).
Topical Outline 1. Ordinary Differential Equations (ODEs)
(a) First-order ODEs
(b) Second-order linear ODEs
(c) Higher-order linear ODEs
(d) Power-series solutions of ODEs
(e) Special functions
2. Laplace Transform
3. Fourier Analysis
(a) Fourier series
(b) Fourier integral
(c) Fourier transform
4. Partial Differential Equations (PDEs)
