For freshmen, learning calculus well is very important for their four-year study foundation and development. Wang, a 2000-year-old student in the Department of Information and Computing Science, said in an article about learning experience: "Learning mathematical analysis well is a piece of cake for other courses"; Cai Xinliang, a student of grade 200 1, wrote in an article: "Before the first class, I heard that mathematical analysis is the most difficult course in all classes. But now that I think about it, I think it is the simplest one. In fact, simplicity is not really simple, but knowing how to learn and what to learn. " Listen to the experiences of these experienced people, which may inspire the freshmen! ? So, how can we learn calculus well? Combined with long-term education and teaching practice, the author gives you four suggestions:
First, we should strive to complete two changes as soon as possible in the first semester: first, the change of learning style. Middle school mathematics is about constant mathematics, while college mathematics is about variable mathematics. The contents and methods contained in it have changed substantially, and the learning methods must also change accordingly. When learning calculus, we should pay special attention to the source, starting point, related background problems and the integration of content and methods. If you can realize this change as soon as possible under the leadership of the teacher and combined with your own efforts, your study will be much more active! The second is the psychological change from middle school students to college students. Compared with middle schools, university teachers mainly play a guiding role, and university learning needs more initiative, consciousness and efforts. As soon as possible, we should change from relying on teachers' psychology to active and conscious learning, actively communicate with teachers and give timely guidance when there are problems in learning and thinking, and devote ourselves to the most important stage of life-college stage with a positive attitude to meet new challenges and avoid passivity and the resulting chain reaction. Try to realize these two changes as soon as possible, and your study will enter a benign development stage, and your four-year college life will be full and enjoyable despite the tension. ?
Second, proper preparation. Calculus is a course with profound theory, profound thought, complex content, long duration and relatively few class hours. Teaching at least two hours at a time is too much and too difficult for many freshmen to adapt. How to avoid or change this passive situation and strive for initiative? The experience of successful students in this field is appropriate preparation. Proper preview can greatly enhance the pertinence and initiative of lectures, greatly improve the efficiency of lectures, reduce the time of reviewing homework, and have more time to preview and improve. This will form a virtuous circle. ?
Third, take notes. University teachers inject their own understanding and opinions into their lectures, so that teaching can better reflect the essence of teaching materials and teaching methods. With proper preparation, taking notes allows you to record the teacher's understanding and opinions, as well as the most essential places. By taking notes, you can also let your thoughts follow the teacher, make your study active and improve efficiency. Taking notes can also cultivate a kind of ability. Professor Chen Zuyin also stressed the need to take notes in an article about freshman study. In the teaching process of mathematical analysis (calculus) in Class 200 1 (1) and Class 2 of the Department of Information and Computing Science, the author made a sampling survey of students' notes, and made statistics on 1/3 students' notes ***28: 18. The teaching effect of these two classes is very satisfactory. ?
Fourth, learn from your brothers and sisters and get inspiration from the experiences and lessons of those who have experienced it, so that you can avoid detours. From old classmates, you may hear their knowledge or experience, and they may tell you the direction of a modern college student's efforts: a solid professional foundation, comprehensive quality, healthy personality and correct direction of life efforts. In learning, you will also benefit from their experiences and lessons. Many students in the Department of Information and Computing Science have talked about their learning experience, which is very enlightening and valuable for reference. For example, Zhang Yongli's Five Steps of Mathematical Analysis, Zhu Hongliang's Thought Basis of Mathematics-Beginners' Experience of Mathematical Analysis, and Zhao Xiaoming's Innovation and Leap in Review. ?
University is the most important stage of life; Learning calculus well can make your four-year study in college take the most solid step. A good beginning is half the battle. I wish every freshman a successful start! ?
In fact, you can also go to Baidu Post Bar to have a look. There are many talented people in the math bar and calculus bar, and it is very beneficial to discuss problems with them.
I recommend some books to you: A Guide to Calculus Learning (Science Press).
Guide to Integral Learning of Calculus (Dalian University of Technology Press)
A Guide to Calculus Learning (Higher Education Press) Personally, I think these three books are quite good, with both difficult and simple questions.
You should read more books and do more questions, which will make your mind by going up one flight of stairs.
Finally, I wish you good luck in your study.