Teaching contents: 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 forms of a 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. This course is taught in English, and the mathematical concept is permeated into the specific teaching links. It aims to make students get used to learning calculus in English and achieve the goal of "win-win". The details are as follows: (1) Knowledge level: Enable students to make full use of fragmented time, study independently, master the basic concept, basic theory and basic operation skills of univariate function calculus, and have excellent English expression ability. (2) Ability level: Pay attention to cultivate students' abstract thinking and logical reasoning ability, especially use critical thinking to analyze and solve problems. (3) Quality level: Teachers feel the importance of teaching in the teaching process. In this process, students have positive emotional experience and have correct outlook on life, values and the world.
Combine knowledge, ability and quality organically, conduct in-depth analysis and bold query. Introduce the achievements of academic frontier and scientific and technological development into the teaching content. Take students as the center, carry out the individualized teaching with students as the center, and cultivate innovative talents.
