Transcript Matrix analysis as a case Fang-Ming Han Ph.D | Assistant professor

Teaching of engineering mathematics:
Matrix analysis as a case
Fang-Ming Han
Ph.D | Assistant professor
Department of automation, Tsinghua university, Beijing China
PERSONAL PROFILE
Fang-Ming Han
Ph.D | Assistant professor
Institute of information processing
Department of automation, Tsinghua university,
Beijing China
RESEARCH INTERESTS
 Wideband wireless digital communications
 Advanced signal processing
 Information theory and coding theory
TEACHING
 Matrix analysis and applications — graduate course
 Advanced signal processing — graduate course
 Signal analysis and processing — undergraduate course
CURRICULUM OBJECTIVES
· Knowledge level
(1) Grasp the preliminaries of matrix analysis theory
(2) Deeply understand the intension and extension of
related concepts and theorems.
(3) Touch upon the advance in selected topics.
· Ability level
PROJECT DESCRIPTION
BACKGROUND
(1) Learn the basic idea of mathematical modeling,
and the skill of transforming an engineering
/physical problem to a mathematical one.
(2) Develop basic skills and thinking logic/approaches
for academic research.
· Thinking level
(1) Cultivate divergent thinking and critical spirit.
Matrix:
PROBLEMS AND SOLUTIONS
 How to teach engineering mathematics?
 Matrix analysis is a fundamental mathematical tool
underlying many engineering disciplines, such as radar/
sonar/audio signal processing, information science,
aviation/aerospace engineering, civil engineering.
 Curriculum: Matrix analysis and applications
MOTIVATION
In most of traditional mathematical textbooks and course, it
seems that mathematical concepts, formula and theorems
are abstract, complicated and tedious. Except for few smart
sprite, most students would feel involved in mathematics
study, let alone how to apply them in practical engineering
problems.
 How to make the dull formula vivid, interesting and
stereoscopic, so as the students are willing to
accept them?
 How to create a scenario overcoming the traditional mathematics teaching – mechanical and
tedious –, rousing the student’s enthusiasm
successfully, urging the student independently into
studying?
 How to improve the student’s ability of applying
the theoretical knowledge in solving practical
problems more efficiently?
 How to excite the student’s innovative ability
effectively?