About this course
MATH3102 -- Methods and Models of Applied Mathematics B
COURSE CONTENT:
This course is about mathematical methods and their applications in
solving physical models encountered in various fields. The tools that
you learn form a foundation for further studies in physics, engineering,
applied mathematics and pure mathematics.
This course covers two main modules: 1. Vector analysis and
complex analysis; 2. Models described in terms of partial differential
equations and their solutions using the methods of separation of
variables, Fourier and Laplace transforms.
You will learn how to model various
types of `real-world' problems and how to solve these models by means of
mathematical methods developed in the course. Main applications
discussed in the unit are heat conduction/diffusion in solids, perfect
fluid flow, potential theory and the spread of pollutants.
WHERE IS IT USED:
The methods and models discussed in the unit are used in many fields
such as physics, finance, engineering, applied mathematics, fluid
mechanics, and so on. The course also paves the way for further studies
in applied and pure mathematics, mathematical and theoretical physics,
differential equations and financial mathematics.
WHO IS INTERESTED:
This course is for anyone who is interested in a rigorous description of
mathematical tools such as vector and complex analysis, Fourier and
Laplace transforms, and their applications to solve real world problems
in physics, engineering and applied mathematics. The course is suitable
for third year science and engineering students.
WHAT DO I NEED:
You should have some basic knowledge of vector analysis, complex
variable methods, partial and ordinary differential equations, as
provided by MATH2100 or chapters 8, 9, 10 and 11 (plus preferably 12 and
13) of E. Kreyszig, ``Advanced Engineering Mathematics", 8th Ed. (J.
Wiley, NY, 2001).
WHEN IS IT AVAILABLE:
The course is given every year, in semester 2.
CONTACT ADVICE:
Course Coordinator: Dr. Yao-Zhong Zhang Rm 702 Priestley Building Phone: 33653256 Email: yzz@maths.uq.edu.au
