数学分析A课程教学大纲.doc

数学分析A课程教学大纲.DOC数学分析A(2) 课程教学大纲
Course Outline
课程基本信息(Course Information)
课程代码
(Course Code)
*学时
(Credit Hours)
112
*学分
(Credits)
5
*课程名称
(Course Title)
(中文)数学分析A(2)
(英文)Mathematical Analysis A(2)
*课程性质
(Course Type)
必修
授课对象
(Target Audience)
*授课语言
(Language of Instruction)
中文
*开课院系
(School)
致远学院
先修课程
(Prerequisite)
授课教师
(Instructor)
课程网址
(Course Webpage)
*课程简介(Description)
《数学分析》(也称《高级微积分》)是分析学中最古老、最基本的分支。一般指以微积分学和无穷级数一般理论为主要内容,并包括它们的理论基础(实数、函数和极限的基本理论)的一个较为完整的数学学科。它是大学数学与应用数学、统计学等专业的一门基础课程。也是现代科学技术中应用最为广泛的一门学科。数学分析课程的任务是系统地阐述数学分析中的基本思想,基本概念及常用方法和技巧,提高学生的数学素养, 培养学生数学思维能力以及独立分析和解决问题的能力。《数学分析(A)(2)》的主要内容为:级数理论,多元函数微分、积分学,曲线、曲面积分和场论,含参数积分,傅里叶级数。
*课程简介(Description)
Mathematical Analysis is the oldest and most basic branch of analytical sciences. Generally, it refers to the theory of calculus and infinite series of general theory as the main content, and also mathematical disciplines including their theoretical basis (the basic theory of real numbers, functions and limits). It is an important basic mathematics course in Mathematics and Applied Mathematics, Statistics. It is also one of the prehensively used subjects in modern science and technology. This course concentrates on the systematic presentation of ideas, concepts, methods and techniques in the foundations of mathematics. This course aims at enhancing student's reasoning and analytical skills, improving