宋浩老师官方 · Bilibili · 1:15
This segment is the preface to the ordinary differential equations course. The instructor begins with casual greetings and notes that he has not posted new content for a month, then announces that he will begin teaching 'Ordinary Differential Equations' next semester. He displays and introduces the textbook used: 'Ordinary Differential Equations', third edition, and mentions the author Wang Gaoxiong. He explains that this video series emphasizes problem-solving methods and rapid mastery of knowledge, rather than extensive coverage of theoretical principles. At the end of the segment, he requests viewers' 'triple action', then prepares to begin the formal lecture.
Use the learning inspector for key ideas and moments, or open the reading tabs for the complete notes.
Generated from the video's visuals and explanation; not verbatim speech.
This segment contains no mathematical derivation; it is mainly the course introduction. The instructor first greets the audience and explains that he has not uploaded any videos for about a month due to winter break, the Spring Festival holiday, and time taken to rest and adjust.
He then moves on to the main topic and announces that the next semester will cover "Ordinary Differential Equations." Only the course title is given here; no definition of ordinary differential equations is provided, nor is any equation form written.
Next, he introduces the textbook used for the course, stating that he uses the third edition of "Ordinary Differential Equations," and adds that the differences between the third and fourth editions are minor. The textbook cover and the words "Third Edition" are visible on screen.
Then he states that the author of this textbook is Wang Gaoyang, and writes "Wang Gaoyang" by hand on the right side of the screen as information about the textbook's authorship.
Afterward, he clarifies the orientation of this video series: it will not devote much space to theoretical principles but will instead focus on "how to solve problems," aiming to help viewers absorb substantial knowledge in a relatively short time. This is a statement about teaching methodology, not mathematical content itself.
Finally, he thanks the audience for their support, requests a "triple action" (like, subscribe, and hit the bell icon), and announces that the formal instruction on ordinary differential equations is about to begin.
In the preface, the instructor announces that the next semester will cover "Ordinary Differential Equations." This segment gives only the topic name, with no mathematical definition or equation form provided.
The course uses the third edition of "Ordinary Differential Equations." The instructor says the differences between the third and fourth editions are minor and identifies the author as Wang Gaoyang.
The instructor explicitly states that this video series will not cover too many principles, but rather teach you how to solve problems, with the goal of quickly absorbing a large amount of knowledge.
Explore conditions, steps and evidence. Supplementary explanations are labeled separately from content shown in the video.
The instructor says: "The content for the next semester will be what we call ordinary differential equations."
The textbook cover appears on the left side of the screen, titled "Ordinary Differential Equations."
This segment indicates that the course on "ordinary differential equations" will begin next semester. It states only the topic name, without elaborating on the mathematical definition, general form, or scope of application of ordinary differential equations.
Appears only in the course preface
This segment does not provide a formal mathematical definition
The instructor says: "For our ordinary differential equations course, I am using the third edition of the textbook, but I think there is little difference between the third and fourth editions."
The words "Third Edition" appear on the textbook cover.
The instructor states that this course uses the third edition of "Ordinary Differential Equations" and remarks that, in his view, the third and fourth editions are essentially identical. This is a statement about course resource selection, not a mathematical proposition.
Concerning the textbook edition used for this course
The instructor says: "The author of this textbook is Professor Wang Xiong."
The instructor writes 'Wang Gaoxiong' by hand on the right side.
The instructor points out that the textbook author is Wang Gaoxiong. The author's name is simultaneously handwritten on screen for emphasis.
Regarding the displayed textbook 'Ordinary Differential Equations'
The instructor says: 'Actually, Wang Gaoxiong's textbook can be fully covered by this single video. In this video, I will not explain too many theoretical principles; instead, I will focus on how to solve problems—delivering the greatest amount of knowledge in the shortest possible time. That is my goal.'
The instructor states that this video series does not emphasize theoretical principles but focuses instead on 'how to solve problems', aiming to 'deliver the greatest amount of knowledge in the shortest possible time'. This is a statement of instructional orientation, not a mathematical method itself.
Applicable to this video course series on ordinary differential equations
Two textbook covers remain continuously visible on the left side of the screen: one is the third edition of 'Ordinary Differential Equations', and the other is the companion 'Study Guide and Problem Solutions'.
Cover of the third edition of 'Ordinary Differential Equations'
Cover of 'Study Guide and Problem Solutions'
Digital notes page
Red handwritten annotations
00:33 left and right, handwrite "Third Edition" on the right
00:43 left and right, handwrite "Wang Gaoxiong" on the right
01:08 left and right, circle the "Three Links" icon area at the bottom with a red pen
The textbook image on the left remains largely unchanged
The entire page is a digital notes interface
These visual elements support the oral introduction of the course topic, textbook edition, and author, and do not convey mathematical derivations.
The instructor first states that the content for the next semester is "Ordinary Differential Equations", then specifies that the textbook used is the "Third Edition" of "Ordinary Differential Equations".
The textbook edition information supports the instructional planning for the course topic "Ordinary Differential Equations".
The instructor explicitly states that the content for the next semester is "Ordinary Differential Equations".
The instructor states that the third edition of the textbook is used, and mentions the author Wang Gaoxiong.
The instructor says that he will not explain too many principles, but instead will show how to solve problems.
Covered · Opening greetings and updates on recent circumstances; no mathematical content to extract.
Covered · Introducing the course topic, textbook edition, author, and teaching orientation.
Covered · Expressing gratitude for support, requesting a 'triple action' (like, comment, subscribe), and announcing the start of the course; no mathematical content to extract.
Reviewed subject paths
The course topic announced for the next semester is "Ordinary Differential Equations." The instructor explicitly states this at the beginning of the segment, serving as the primary subject introduction for the upcoming lectures.
Conditions: Applies to the course preface/introduction segment.; No mathematical definition or equation form is provided in this specific announcement.
The course uses the third edition of the textbook titled "Ordinary Differential Equations." The instructor notes that while he is using the third edition, he believes there is little difference between the third and fourth editions.
Conditions: Refers to the specific textbook resource selected for this course.; The instructor's opinion on the similarity between editions is subjective context.
The primary focus is on problem-solving methods rather than theoretical principles. The instructor aims to deliver the greatest amount of knowledge in the shortest possible time by concentrating on how to solve problems.
Conditions: Applies to the entire video series on ordinary differential equations.; The instructor explicitly states this orientation in the preface.
The author of the textbook is Professor Wang Gaoxiong. The instructor identifies him verbally and also writes the name by hand on the screen for emphasis.
Conditions: Specific to the textbook 'Ordinary Differential Equations' used in this course.
Continue with related videos in the same subject.
Bilibili18:45.61200000000008
Bilibili13:2.7000000000000455
Bilibili11:02