微积分是高等数学中研究函数的微分、积分以及有关概念和应用的数学分支，它是数学的一个基础学科，是理工科院校一门重要的基础理论课。它推动了其他学科的发展，推动了人类文明与科学技术的发展，它的作用是举足轻重的。微积分（I）是本科生的一门必修课，内容主要包括函数、极限、函数连续性、导数及其应用、积分及其应用、不定型的极限及广义积分。极限是微积分的基本概念，微分和积分是特定过程特定形式的极限。通过全英教学，学生在学会用英语获取数学知识的同时又通过学习数学掌握和运用英语，达到双赢的目的。从而培养具有国际竞争力并适应国家和社会需要的国际化人才。
授课目标：本课程的目的是使学生掌握一元微积分的基本概念，理论及其应用。通过本课程的学习，在理论上，使学生获得一元函数微积分的基本概念、基本理论和基本运算技能；在具体传授知识的过程中，在教学中注意培养学生抽象思维能力、逻辑推理能力、空间想象能力和自学能力，特别是综合运用所学知识去分析问题和解决问题的能力。
Calculus is the branch of mathematics that studies
differentiation, integration and related concepts and applications in advanced
mathematics. It is a basic subject of mathematics. It is an important basic
theory course in universities of science and engineering. It has promoted the
development of other disciplines and human civilization and science and
technology, and its function is of great importance. Calculus (I) is a
compulsory course for undergraduates. The basic requirements of the course
include functions, limits, continuity of function, derivatives and their
applications, integrals and their applications, the limits of indefinite forms
and generalized integrals. The limit is the basic concept of calculus. Differential
and integral are the limits of particular forms of a particular process.
Through the teaching of English, students learn to
acquire mathematical knowledge in English while mastering and using English in
the process of learning mathematics to achieve a win-win goal. Therefore, we
can cultivate international talents with international competitiveness and meet
the needs of the state and society.
Teaching
Objective: The purpose of this course is to enable students to master the basic
concepts, theories and operations of one variable calculus. By the study of
this course, in theory, students can master the basic definition, basic theory
and basic operation skills of one variable calculus. At the same time, we
should pay attention to the cultivation of students’ abstract thinking ability,
logical reasoning ability, spatial imaginary ability and self-learning ability
in the process of imparting knowledge and teaching. In particular, the ability
of analyzing and solving problems is trained by using the learned knowledge.
