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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?