In the past ten years, we have implemented the "learning-centered" teaching philosophy and built aNew learning system for advanced algebra. This learning system is based on the "Twelfth Five-Year Plan" national planning textbooks and advanced algebra online courses, enhanced by advanced algebra learning method guides and exercise class online courses, and advanced by advanced algebra blogs and weekly questions. It not only focuses on basic training, but is also advanced, innovative and challenging, laying a solid foundation for forging students' solid algebra skills and cultivating top innovative mathematics talents.
National planning textbook "Advanced Algebra (Fourth Edition)"
The advanced algebra textbook of Fudan University has been used in the Department of Mathematics of Fudan University since September 1993 and has been revised several times in the past 30 years. It adopts the structure of "taking linear space as the key link" and focuses on "the mutual conversion and organic unity between algebra and geometry";Continuously won the title of national planning textbook for general higher education during the “Tenth Five-Year Plan”, “Eleventh Five-Year Plan” and “Twelfth Five-Year Plan”. Universities currently using this textbook include: Tsinghua University Department of Mathematical Sciences and Engineering Articulation, Shanghai University of Finance and Economics Experimental Class in Financial Mathematics, Beijing Institute of Technology’s Basic Mathematics Class, Ocean University of China, School of Mathematics, Shanghai Maritime University College of Arts and Sciences, Zhengzhou University School of Mathematics and Statistics, Beijing Normal University School of Mathematics, Soochow University’s Strong Basic Mathematics Class, Hunan University of Science and Technology School of Science (Information and Computing Science Major), School of Mathematics at Shandong University, Xiangtan University Mathematics Shaofeng Class of School of Mathematics and Computing Science, School of Mathematics of Nanjing Normal University (double bachelor's degree program in Finance + Mathematics and Applied Mathematics), School of Mathematics and Statistics of Hexi University, School of Mathematics and Statistics of Liupanshui Normal University (Mathematics and Applied Mathematics), School of Mathematics of Yunnan Normal University (Mathematics of Statistics), School of Mathematics and Physics of Guangxi University for Nationalities ("Algebra Selected Course"), School of Mathematics and Physics of University of Science and Technology Beijing ("Advanced Algebra for Engineering" course), etc.
Yiban Youke Advanced Algebra Online Course
Xie Qihong recorded an online course of advanced algebra on the Yiban Youku platform in 2016, totaling one academic year and 114 hours. The teaching video of this online course was recorded in class and 100% restored the classroom blackboard teaching of Fudan University’s advanced algebra course (Xie Qihong’s class). Just register a username on Yiban Youke and you can watch and learn this online course completely free of charge.
Study method guide "Advanced Algebra (Fourth Edition)"
"Advanced Algebra (Fourth Edition)" is a study method guide accompanying the textbook "Advanced Algebra (Fourth Edition)" and is called "Advanced Algebra (Fourth Edition)" by mathematics students across the country.High generation white paper". The book carefully summarizes and completely summarizes the important ideas, methods and techniques in advanced algebra; carefully explains more than 830 typical example questions (including more than 160 questions with multiple solutions), and provides 440 training questions; it embodies the teaching philosophy of Fudan University's advanced algebra exercise course and fully incorporates the latest teaching research results.
Advanced Algebra Exercise Course Online Course
Xie Qihong launched the Fudan University Advanced Algebra Exercise Course online course on Bilibili from February 2020 to May 2021. This online course of exercises takes the important ideas, methods and techniques in advanced algebra as its theme, and carefully explains typical examples of advanced algebra. These sample questions are taken from the third edition of the Advanced Algebra White Paper, Fudan University Advanced Algebra weekly questions, midterm and final exam questions, and National College Student Mathematics Competition test questions. This problem-based online course is divided into two parts, namely Advanced Algebra I (36 lectures) and Advanced Algebra II (36 lectures).
Advanced algebra weekly questions
From the beginning of 2014 to the present, Xie Qihong has carried out a weekly activity on advanced algebra at the School of Mathematics, Fudan University every semester. As the name suggests, this activity is to publish a very difficult advanced algebra question every teaching week for students who have room for learning to think and answer. It aims to stimulate students' learning motivation and innovation potential through modes such as "solving difficult problems" and "multiple solutions to one question". The weekly question activity has been implemented in 10 grades from Grade 13 to Grade 22 of Fudan School of Mathematics, which not only enhances communication and interaction between teachers and students, but also achieves good teaching results. Starting from 2022, the weekly questions of Fudan University’s Advanced Algebra, the final questions of the final exam, and the selected questions of the midterm exam will all be included in the "Fudan University Advanced Algebra Exercises Collection".
Advanced Algebra Official Blog
The official blog of Advanced Algebra was created in February 2014. It contains a large number of original Fudan University advanced algebra learning materials, such as: weekly questions for advanced algebra from Grade 13 to Grade 21 of Fudan University of Mathematics; final questions from Grade 13 to Grade 21 Advanced Algebra final exams; selected topics for mid-term exams from Grade 08 to Grade 21 Advanced Algebra; teaching papers, teaching blog posts, and mathematics competition coaching materials, etc.
We welcome students from sister universities and colleges across the country to use Fudan University’s new advanced algebra learning system!
Machine-translated from the Chinese original 复旦大学高等代数新型学习体系 (published 2023-12-19). WeChat original ↗