Syllabus: Refer to Canvas for details and
updated information
Instructor
Contact Details: Rm 3457; phone:
2358-7446; e-mail: mamu@ust.hk
Course Description
Credits: 3 units; Topic: Differential equations
Exclusions: MATH 2350, MATH 2352
Prerequisites: AL Pure Mathematics/AL Applied
Mathematics; or MATH 1014; or MATH 1018; or MATH 1020; or MATH 1024
Textbook:
Boyce and DiPrima, Elementary Differential Equations and Boundary
Value Problems, Global Ed., Wiley
Course Topics:
· Introduction(Chapter 1)
o
Mathematical
models; Direction Fields (1.1)
o
Solution
of Some DEs(1.2)
· First Order Equations(Chapter 2)
o
Linear
equations; Method of Integrating Factors (2.1)
o
Separable
equations (2.2)
· Second Order Linear Equations(Chapter 3)
o
Homogeneous
Equations with constant coef. (3.1,
3.3
and 3.4)
o
Solutions of linear homogeneous equations; the Wronskian
(3.2)
o
Nonhomogeneous
equations; undetermined coef. (3.5)
· Series Solutions of Second Order
Linear Equations
(Chapter 5)
o
Power
series (5.1)
o
Series
solutions near an ordinary point (5.2)
o
Euler
Equations; Regular Singular Points (5.4)
· Laplace Transform (Chapter 6)
o
Laplace
transform (6.1)
o
Initial
value problems (6.2)
o
Impulse
functions (6.5)
· Systems of First Order Linear
Equations
(Chapter 7)
o
Introduction
(7.1)
o
Basic
theory (7.4)
o
Homogeneous
linear systems with constant coefficients (7.5,
7.6)
· Partial Differential Equations and
Fourier Series
(Chapter 10, optional)
o
Two-Point
Boundary Value Problem (10.1)
o
Separation
of Variables; Heat Conduction in a Rod (10.5)
o
Laplace Equation
(10.8)