College Mathematics "Online Learning System" is an online learning software that covers the teaching requirements of public mathematics basic courses at all levels of colleges and universities. The system is designed using multimedia, interactive and experimental methods, aiming to create an independent and efficient online learning platform for users. The system not only supports users to use it on PC, but also supports users to use it through mobile terminals such as mobile phones and tablets.

The most complete version of the " Online Learning System " for college mathematics is **the ordinary undergraduate** version:

**Science and engineering** :

Advanced Mathematics Online Learning System (Science and Engineering)

Under the Advanced Mathematics Online Learning System ( Science and Engineering )

Linear algebra online learning system ( science and engineering )

Probability and statistics online learning system ( science and engineering )

**Economics and management** :

Calculus online learning system ( economics and management )

Calculus online learning system ( economics and management )

Linear algebra online learning system ( economics and management )

Probability and statistics online learning system ( economics and management )

**Other kind** :

University Liberal Arts Mathematics Online Learning System ( Pure Liberal Arts )

Medical Advanced Mathematics Online Learning System ( Medical Category)

Practical advanced mathematics online learning system( omprehensive category)

Applied Mathematics Basics Online Learning System( omprehensive )

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Based on the above-mentioned full version, a concise version for **undergraduates with less hours** of study has been designed based on different teaching levels and teaching requirements, as well as college mathematics, **advanced** mathematics, linear algebra, and probability theory for higher vocational colleges, science and engineering, and economics and management. and mathematical statistics, etc.

The online learning system for each of the above courses is divided into two major modules according to content: 1. Teaching content module (VIP1), including complete teaching content, teaching examples, mathematical modeling, mathematical experiments and detailed explanations of algorithm programming, etc.; 2. Exercises Tutoring module (VIP2), including detailed explanations of exercises, summary of main knowledge in each chapter and detailed explanations of general exercises, etc.

The University Mathematics "Online Learning System" has currently released the first two modules, and has made all or most of the first chapter of each system available for free. **Users can log in to try it out** .

**How to learn college mathematics well** :

In college mathematics courses or postgraduate entrance examination training, the goal of learning is to acquire a **mathematical ability** that can comprehensively use basic knowledge of mathematics ( concepts, theorems, formulas, etc. ) and rigorous logical reasoning methods based on mathematics to solve various problems. Specific problem abilities. For students, these specific questions are mainly examination questions, and for work or scientific research, they are various practical problems.

To **achieve such a learning goal** , we must first have a deep understanding of the underlying basic knowledge of mathematics ( concepts, theorems, formulas, etc. ) , and then systematically and step by step master the ability to use these basic knowledge to solve problems through selected typical examples. In the process of solving a problem, each step must clarify its cause and effect relationship, and arrive at the next result based on rigorous mathematical reasoning. Understanding the process and method of solving the problem is far more important than getting the answer right.

To **achieve such a learning goal** , the best learning method is independent learning. The key to " **learning mathematics** " is to " **do mathematics** " , and " doing " here refers to active " learning and training " . Especially for users who want to learn mathematics well or are interested in taking the postgraduate entrance examination, mathematics learning is a long-term training and accumulation process, and systematic and independent training is a must. " Doing mathematics " also tells us from the other side that learning mathematics is not **about listening to mathematics** or **reading mathematics** . It is unrealistic to hope that we can achieve the goal of learning mathematics well through short-term training and sprint.

**College mathematics learning requirements** :

College mathematics is the basic language of natural science and the main means of applying models to explore the mechanism of material motion in the real world. The study of college mathematics is far more than just learning a kind of knowledge and tools. In fact, excellent mathematics education is the cultivation of people's rational thinking character and critical thinking ability, the enlightenment of intelligence and wisdom, and the development of potential initiative and creativity. Its value is far beyond ordinary professional skills. education can be compared.

The Ministry of Education has high requirements for the teaching of college mathematics courses in related majors, and the Teaching Steering Committee of the Ministry of Education has specially formulated and promulgated the " Teaching Syllabus for College Mathematics Related Courses " , which is not only the need for subsequent professional course study, but also the Whether it is the need for scientific research or the need for future career development, this becomes easier to understand as humans move towards the era of artificial intelligence, and the research and development and application of artificial intelligence place high demands on mathematical theories, methods and ideas.

Just like Nobel Prize winner Thomas J. Sargent recently stated at the World Science and Technology Innovation Forum that artificial intelligence is actually statistics, and a lot of the knowledge used in it has been learned or touched in college mathematics courses. It performs statistical analysis on empirical data or simulated data, with the help of Mathematical methods build approximate mathematical models, and then try to achieve our ideal goals through feedback, fine-tuning and optimization.

It should also be pointed out in particular for college freshmen: past statistical analysis shows that college mathematics courses have the lowest passing rate among all university courses, and they are also the least likely to be retaken and passed after taking them. With the National Ministry of Education canceling the " clear exam " system before university graduation ( i.e., the make-up exam before graduation ) , it means that if you do not work hard to study in the corresponding courses normally and pass the college mathematics exam, you may not be able to graduate or be unable to Obtain the appropriate degree.

The "Online Learning System" for college mathematics fully covers the syllabus requirements of corresponding basic courses. The system adopts multimedia, interactive, and experimental integrated design. All teaching content explanations and detailed explanations of exercises are organized with interactive links of knowledge points according to logical reasoning relationships. The author team will continue to comment and clear up doubts online, providing learning guidance for users to learn independently. Therefore, if you are a qualified college student, here, as long as you want to study well and are willing to work hard, you will definitely be able to study well.

** Major features** of the College Mathematics "Online Learning System" :

1. **Knowledge interactive links** : All teaching content, examples, exercises, general exercises and their detailed explanations are organized into interactive links of relevant knowledge according to logical reasoning relationships, allowing you to not only " know what it is " but also " know why it is so " .

2. **Connecting mathematics knowledge in primary and secondary schools** : The most important thing in learning mathematics is to lay a solid foundation and proceed step by step. A solid foundation will never be outdated at any time and at any stage, and the higher the grade, the stronger the person’s understanding ability. When needed, Making up for it in time will have the effect of getting twice the result with half the effort. This is what is called reviewing the past and learning the new. In the above-mentioned system, the author team not only interactively links the knowledge within the course, but also comprehensively connects the relevant knowledge of primary and secondary school mathematics. The purpose is to allow users to trace the relevant foundation required for each knowledge at any time. Many people have experienced that they think mathematics is difficult to learn. In fact, the foundation is not strong, which hinders a deep understanding of the content learned. If the foundation is solid and step-by-step, then you will continue to improve step by step. This is the saying " It is not difficult for those who know it, but it is not difficult for those who are difficult." Won't " .

3. **Mathematics experiment teaching** : In line with teaching needs, mathematical modeling and mathematical experiment links are fully integrated and designed, including experiments such as numerical calculations, symbolic calculations, graphical calculations, and mathematical modeling. These experiments not only help to strengthen the understanding of core content such as basic concepts and theorems in the course, but also help users gain a deep understanding of the dialectical relationship between intuition and immanence, approximation and precision, quantitative change and qualitative change in mathematics, and improve users' ability to construct mathematics. Innovation capabilities in modeling, algorithm design, command programming, application control, etc. To facilitate users to conduct mathematical experiments, Shuyuan has also developed a computer algebra system SyMaxima based on open source software that supports running on PC and mobile terminals.

4. **Comments from the author team**: The author team of this system: Professor Wu Ganchang and the professional and full-time Shu Yuan team chaired by him will continue to update and comment online, and make relevant comments on the examples, exercises and past postgraduate examination questions in the system, including method comments, Study guides, related question types, etc. help users get twice the result with half the effort and draw inferences from one example.

5. **User feedback for help**: When users encounter problems while learning the content of relevant pages, they can seek help from the author team. If they have good suggestions, they can give feedback to the author team. Helpful and shared help questions and good suggestions will be summarized and deposited into comments on relevant pages for more users to learn and share.

6. Using the Shuyuan mobile client(APP) for mobile learning can effectively utilize fragmented time to study, think and summarize, and tackle key points one by one. The client supports bookmarks, notes, feedback, asking for help, and viewing online reviews from the author team.

For **users** of **the three-dimensional college mathematics textbook** (Wu Ganchang, National People's Congress Edition) , the online service provided by the author team includes two parts: First, there are QR codes throughout the book, which users can scan through mobile phones or tablets to use. ; The second is the network account provided on the cover of the book, through which users can log in to the online learning space of the textbook and enter the online learning system corresponding to the textbook. After the textbook user activates the textbook account in the online learning space(xxkj.sciyard.com), he or she can have the corresponding usage rights of the textbook user (VIP) .