♦ ⌈ 课程介绍 Introduction ⌉
1、 简短概述 Brief Overview
微积分是研究函数、极限、导数、积分及其应用的基础数学学科，是现代科学与工程的核心分析工具。
Calculus is a fundamental mathematical discipline that studies functions, limits, derivatives, integrals, and their applications, serving as a core analytical tool for modern science and engineering.
2、详细介绍 Detailed Introduction
本课程是电子科技大学面向来华本科留学生开设的一门重要必修基础理论课，包含Calculus I（80学时）和Calculus II（64学时）。课程内容全面涵盖函数、极限与连续、一元与多元微积分、无穷级数、常微分方程等核心知识模块，旨在为学生后续专业学习奠定坚实的数学基础。针对留学生数学基础差异较大的特点，课程注重概念的形象化与直观化教学，深度融合信息技术与数学教学，利用动态图形、数值模拟和数学软件将抽象的数学概念“可视化”，有效降低学习难度并激发学生兴趣。课程选用经典英文教材《Thomas' Calculus》，并整合MIT等国际优质开放课程资源，构建了丰富的自主学习资料库。教学团队积极探索将中国传统文化与哲学思想（如庄子思想、《九章算术》等）融入教学过程，以增强文化认同与理解。通过线上讨论群、案例分析、多元化考核等方式，课程着力培养学生的逻辑推理能力、抽象思维能力和运用数学工具解决实际工程问题的能力，助力其顺利完成从各国基础教育到中国高等教育的衔接与过渡。
This course is an important compulsory foundational theory course offered by UESTC for international undergraduate students, comprising Calculus I (80 hours) and Calculus II (64 hours). The curriculum comprehensively covers core knowledge modules such as functions, limits and continuity, single and multivariable calculus, infinite series, and ordinary differential equations, aiming to establish a solid mathematical foundation for students' subsequent professional studies. Addressing the significant variation in the mathematical backgrounds of international students, the course emphasizes the visualization and intuition of concepts, deeply integrating information technology with mathematics teaching. It utilizes dynamic graphics, numerical simulations, and mathematical software to "visualize" abstract mathematical concepts, effectively reducing learning difficulty and stimulating student interest. The course adopts the classic English textbook Thomas' Calculus and integrates high-quality open course resources from institutions like MIT to build a rich repository for independent learning. The teaching team actively explores the integration of traditional Chinese culture and philosophical ideas (such as Zhuangzi's thought, The Nine Chapters on the Mathematical Art, etc.) into the teaching process to enhance cultural identity and understanding. Through online discussion groups, case studies, and diversified assessment methods, the course focuses on cultivating students' logical reasoning skills, abstract thinking abilities, and the capacity to use mathematical tools to solve practical engineering problems, assisting them in successfully transitioning from their various national basic education systems to Chinese higher education.
♦ ⌈ 课程负责人及团队介绍 Lecturers and Teams ⌉
课程负责人：电子科技大学 夏红 副教授
Course Director: Associate Professor Xia Hong, University of Electronic Science and Technology of China (UESTC)
本课程教学团队由两位拥有博士学位和丰富海外访学经历的副教授组成。负责人夏红副教授（电子科技大学博士）与主讲教师王朝霞副教授（四川大学博士）均具备一年以上在海外知名高校（澳大利亚西悉尼大学、英国普利茅斯大学）的访问学者经历，拥有扎实的数学功底和国际化教学视野。团队长期从事留学生微积分教学，经验丰富，曾获得多项教学奖励。团队积极进行教学改革，主持相关教改项目，致力于将教育信息化与数学教学深度融合，探索适合留学生特点的教学内容与方法。通过引入信息技术、融合文化元素、拓展网络教学空间等创新举措，团队有效提升了课程教学质量与学生满意度，为学校国际化人才培养提供了坚实的数学基础支撑。
The teaching team for this course consists of two associate professors who hold doctoral degrees and have extensive overseas visiting scholar experience. The course director, Associate Professor Xia Hong (Ph.D. from UESTC), and the lead instructor, Associate Professor Wang Zhaoxia (Ph.D. from Sichuan University), both have over one year of experience as visiting scholars at renowned overseas universities (Western Sydney University, Australia, and University of Plymouth, UK), possessing solid mathematical expertise and an international teaching perspective. The team has long been engaged in teaching calculus to international students with rich experience and has received multiple teaching awards. The team actively conducts teaching reforms, leads related educational reform projects, and is committed to deeply integrating educational informatization with mathematics teaching, exploring teaching content and methods suitable for the characteristics of international students. Through innovative measures such as introducing information technology, integrating cultural elements, and expanding online teaching space, the team has effectively improved course teaching quality and student satisfaction, providing solid mathematical foundational support for the university's cultivation of international talents.
