《高等数学A2》课程简介

2024年1月10日发(作者：春考语文数学试卷多少分)

《高等数学A2》课程简介

课程英文名

学分

先修课程

适用专业

5

Advanced Mathematics A2

总学时

课程代码

80

J0701X02

实验/实践学时

80

理论学时

高等数学A1

理工科

高等数学A2是我校学各专业的一门重要的基础必修课。通过本课程的学习，使学生系统地获得数学的基本知识、必要的基础理论和常用的运算方法，培养学生比较熟练的运算能力、抽象思维能力、逻辑推理能力、分析问题和解决问题的能力，从而使学生受到运用数学分析的方法解决实际问题的初步训练。课程的主要任务是为顺利完成后继课程的学习奠定必要的数学基础，同时也全面提高学生的数学素质。在当今信息时代，数学知识将成为许多领域或专业的必要工具，所以该课程对大学生成长的重要性与地位是显而易见的。从而该课程对于大学课程设置具有重要的基础地内容简介

位，而且是不可替代和轻视的。

（中文）

课程的目标是通过学习该课程内容，向学生传授数学知识的同时，适时地传授相关的数学思想、数学方法和应用前景，初步掌握用数学手段分析和解决一些实际问题的能力，为数学实验、数学建模教学和其它后续课程所需的数学知识提供必要的基础知识。

本课程的主要内容有：多元函数的极限、连续，多元函数的偏导数及全微分、多元函数的积分（含二重积分、三重积分、曲线积分、曲面积分、格林公式、高斯公式等）。还讲空间解析几何与向量代数、无穷级数与幂级数的和函数的求法。

Advanced Mathematics A2 is an important basic compulsory course for

all majors in our school. Through the study of this course, students get the

basic knowledge of mathematics, the necessary basic theory and the common

operation methods, and cultivate the students\' ability of computing, abstract

thinking, logical reasoning, analysis and solving problems, so that students

can be solved by means of mathematical analysis. Preliminary training for

内容简介

practical problems. The main task of the course is to lay the necessary

（英文）

mathematical foundation for the successful completion of the subsequent

courses, and at the same time, to improve the students\' mathematics quality in

an all-round way. In the information age, mathematical knowledge will

become a necessary tool in many fields or specialties, so the importance and

status of the course for the growth of college students is obvious. Thus, the

course has an important foundation for university curriculum, and it is

irreplaceable and despised.

The goal of the course is to impart mathematical ideas, mathematical

methods and application prospects at the same time by imparting mathematics

knowledge to students and to master the ability to analyze and solve some

practical problems by mathematical means, and the number required for

mathematical experiments, mathematical modeling teaching and other

follow-up courses. Learning knowledge provides the necessary basic

knowledge.

The main contents of this course include the limit, continuity, partial

derivative of multivariate function and integral of all differential and

multivariate functions (including double integral, three integral, curvilinear

integral, surface integral, Green formula, Gauss formula, etc.). We also talk

about the method of finding the sum function of space analytic geometry and

vector algebra, infinite series and power series.