At the invitation of Professor Li Deyi, a famous teacher in Hubei, on the afternoon of March 11, Professor Fan Qibin of the School of Mathematics and Statistics of Wuhan University was invited to give an academic report entitled "Some Transformation Skills Driven by Advanced Mathematical Problems" for teachers and students of our college in classroom 11310.
On behalf of the school, Ding Yiming extended a warm welcome to Professor Fan Qibin, introduced his academic achievements to the teachers and students present, and hoped that through this report, students of related majors would deepen their mastery of the basic skills of advanced mathematics.
At the report meeting, Professor Fan Qibin took a series of typical problems in advanced mathematics as a guide, and guided students to explore the rules of the problems step by step and master the "key" of solving the problems through the explanation of classic examples.
"Since middle school, we have known the method of sum and difference product, so how can we apply it to solving derivatives?" Professor Fan Qibin introduced how to use the sum and difference products to simplify the solution of complex derivative inequalities and derive the answers, and then helped students understand and master the transformation skills through a number of example problems. "Errands, assignments and harmony are relatively common, and students may be unfamiliar with accumulation, but these are very practical methods."
"Using reverse thinking to simplify complex problems is sometimes the easiest way to solve them." Professor Fan Qibin listed a number of problems in the National Mathematics Competition, and through the reverse use of Green's formula, the double integral was turned into a surface integral, which greatly improved the efficiency of problem solving. "I prefer to use some problem-solving skills when doing problems," said Professor Fan Qibin, "even if the ideas are more complicated, but the solution will be much simpler." ”
Under the guidance of Professor Fan, the students gradually mastered a variety of problem-solving techniques. The geometric intuition method makes the conditions given by the problem intuitive by drawing, which can make the original problem clear and clear; The dimensionality adjustment method transforms multi-dimensional problems into one-dimensional solutions and one-dimensional problems into multi-dimensional problems, and it is important to transform them into the most intuitive expressions. The parameter variation method transforms the original unknowns into new parameters, and the function inequality can be simplified and the problem can be easily solved.
During the Q&A session, Professor Fan Qibin had a more in-depth exchange with the students, he answered the students' questions one by one, and explained various problem-solving skills through various examples, and the students felt that they benefited a lot. Fu Yingfang, class 2201 of statistics, said: "The method taught by the teacher seems to be the key to solving the problem, and when I see the math problem again, I will not be at a loss." ”
"College mathematics is by no means useless, it simplifies problems that were difficult to solve in elementary mathematics in the past, and enables people to grow further. I hope that students will also study hard in the future and strive to make their own achievements. At the end of the report, Professor Fan Qibin sent a message to the students, hoping that the students would work hard and climb the peak of mathematics.
About the Speaker:
Fan Qibin is a professor and doctoral supervisor of the School of Mathematics and Statistics of Wuhan University, the secretary-general of the Hubei Mathematical Society, the deputy director of the Hubei Provincial Public Mathematics Professional Committee, and the director of the Hubei Competition Committee of the National College Student Mathematics Competition. He has won the President's Award for Outstanding Teaching Contribution of Wuhan University, the Outstanding Teacher Award of Baosteel Education Fund, the Second Prize of Outstanding Teaching Achievement of Hubei Province, and the second "My Favorite Top Ten Outstanding Teachers" of Wuhan University. He has presided over or undertaken more than 20 projects such as the National 863 Program, the National 973 Program, the National Natural Science Foundation of China, and the National Ninth Five-Year Plan for Key Scientific and Technological Studies. He has published more than 80 academic papers, more than 30 books or textbooks, and is the executive deputy editor-in-chief of the large-scale series "21st Century University Mathematics Innovation Textbook" of Science Press. In recent years, he has published "Typical Problems and Methods of Advanced Algebra", Higher Education Press, 2021; Analysis Course of National College Student Mathematics Competition, Associate Editor, Science Press, 2023.
