Although Shi Jihuai's "Mathematical Analysis" in HKUST is relatively old and the recording level is poor, because it was a few minutes in the junior class of that year, I basically finished reading the 2003 edition of "Mathematical Analysis Course", with more than 220 episodes and more than 40 minutes in one episode. I read all my notes. It's really different. Go to Taobao if you can. Let's talk about Qiu in Gao Chao. 1 10 has more than one episode, and one episode only lasts more than 20 minutes. It's for the Physics Department of Tsinghua, because the course of one semester is particularly tight, and many things feel very urgent, but it can't hide his art of giving lectures. I think the above two are very good in China, and Zhai of Beijing Normal University also has some. I only watched the first episode, but I don't like Beijing dialect very much → _→. Teacher Zhai Zhongdan's painting style is very sharp and he speaks well, but I still think it is much worse than Shi Jihuai. Abroad, I have only seen the class of a tall and thin old professor at MIT, whose name is forgotten. He looks over seventy, but he is still full of energy. He speaks very well. I have seen calculus, with only a dozen episodes. His calculus and linear algebra are open classes for freshmen. The mathematics department will think it is too simple, and people will not record excellent courses in mathematics for people all over the world → _→. Finally, I emphasize that no matter who reads it, it is best to read it all, even if you see spit → _→. Only after reading it can you know what is not in the book but has been used. This is my first feeling after reading Shi Jihuai! In addition, I think the open courses of Taiwan Province Provincial University are also better. National Tsinghua University Tsinghua University Open Course (NTHU, OCW), Tsinghua's homepage has been optimized for mobile devices, which can be watched on mobile phones, and national chiao tung university national chiao tung university Open Courseware (OCW) can be downloaded. Coursewares, handouts, blackboard books and textbooks of these courses are all in English. However, when explaining in Chinese, I think college students can watch English open classes directly, even in the case of translating subtitles, it is very slow to understand. You can look at the courses of these universities in Taiwan Province Province first, and at least after accumulating some professional vocabulary, you can choose to look at foreign ones. The quality of these open classes is very high, the teachers speak well and the video quality is also very good. The camera follows the teacher, which is much better than many open classes in Chinese mainland. It sounds enjoyable.