有留学需求的中国学生，或是来华留学的学生，需要有一定的数学基础和英文能力，那这门课就非常合适了。

本课程英文传授高等数学主要内容。高等数学是中学里学习的函数基础上的进阶知识体系，有着非常广泛的应用。比如导数可以应用于优化问题，提升经济效益；微分方程可以精确描述经济、生物等许多领域的现象，并帮助解决问题；积分方法则是概率统计的基础。就连人工智能大模型等，也是函数优化问题与概率统计应用的成果之一。所以，学好微积分是深入理解掌握当下一些热门技术（如人工智能）的知识基础，而理解了真正的技术原理，对科技发展的规律便可预知一二，不会那么焦虑和盲从了。

本门课的亮点是主讲老师英文流利，经验丰富，特色是体系新颖（课程结构简单，且有预备和拓展课程）。通过本课程的学习，可以快速把握整个高等数学的思想脉络和方法，而不会沉溺于相对无用的计算技巧的训练中。学好本课程，可以帮助建立理解其他后续课程与当下热门技术的数学基础。

This course is highly suitable for Chinese students planning to study abroad and international students coming to China, as both groups need a certain level of mathematical foundation and English proficiency.

The main content of advanced mathematics in this course is delivered in English. Advanced mathematics is an advanced knowledge system built on the function foundation learned in middle school, with extremely wide applications. For instance, derivatives can be applied to optimization problems to improve economic benefits; differential equations can accurately describe phenomena in many fields such as economics and biology, and help solve related problems; integral methods, on the other hand, serve as the basis for probability and statistics. Even Large Language Models are among the achievements of applying function optimization and probability statistics. Therefore, mastering calculus well is a fundamental knowledge base for in-depth understanding and mastery of some current popular technologies (e.g., artificial intelligence). Moreover, understanding the true technical principles allows one to gain some insight into the laws of technological development, avoiding excessive anxiety and blind following.

The highlights of this course include the teacher’s fluent English and rich experience, while its distinctive feature lies in its innovative system (with a simple course structure and the inclusion of preparatory and extended modules). Through studying this course, students can quickly grasp the overall ideological context and methods of advanced mathematics, rather than getting stuck in training on relatively useless computational techniques. Mastering this course well can help lay a mathematical foundation for understanding other subsequent courses and current popular technologies.

掌握一元函数的微分学与积分学的概念、计算和应用。

建立一定的高等数学领域内的英文基础。

实数的四则运算方法

一元一次方程，一元二次方程求解方法

基础几何知识

函数的基础知识与应用

Weir, Hass, Giordano: 托马斯微积分 Thomas Calculus 第14版 上下册 高等教育出版社

David M. Bressoud: Calculus Recorded, A History of the Bid Ideas, Princeton出版社