《数学英语》课程教学大纲

1、数学英语课程教学大纲课程编码：171110021课程性质：专业方向限选课程适用专业： 数学与应用数学专业学时学分： 24学时 1.5学分所需先修课：大学英语基础编写单位： 数信系一、课程说明 1、课程简介数学英语是为数学专业大学生必须具备阅读基本外文数学文章能力而开设的课程，从专业词汇到数学知识的中文英文互相翻译等等都包容在本门课程的教学中。 2、教学目标要求 掌握数学专业词汇，培养快速阅读数学专业英语的能力。了解数学的学科分类，英文学术论文摘要的检索，数学文章的英译汉和汉译英的技巧。能用英语书写文章摘要、学术会议通知、学术交流信件等。同时培养简单的英语会话能力。为部分优秀大学生攻读研究生奠定

2、数学专业英语的基础。3、教学重点难点重点：掌握数学专业词汇、数学文章的英译汉和汉译英的技巧、用英语书写文章摘要、简单的英语会话能力。难点：数学文章汉译英、英语会话能力。4、考核方式 本课程为考查课，考试的形式是开卷，综合成绩根据平时成绩和期末成绩评定，平时成绩占40%，期末成绩占60%。学时分配表章次教学内容理论课学时数实验（实践）课学时数第一章What Is Mathematics ？22第二章The Development Of The Number System22第三章Math Story and Strategies43第四章The History43结课答疑、考试2小计1012总计

3、24二、各部分教学纲要第一章 What Is Mathematics ？（4学时）教学目标1 Grasp the words or phrases：preciseness，rigor，logical reasoning，deductive reasoning， arithmetic, algebra, geometry, trigonometry, calculus, probability, and statistics and so on.2 Grasp such expressional forms as：what is to be proved，what is know as an i

4、ndirect proof.本章重点和难点1 Mathematics is different things to different people .We now have that mathematics is a tool，an art，a science，a language，and a game.Types of reasoning3 Proofs may be either direct or indirect.教学内容1.1 What is mathematics ？1.2 Types of reasoning 1.3 Mathematical systems and proof

5、s第二章 The Development Of The Number System（4学时）教学目标1 Grasp the words or phrases：integer，fraction，numerator，sexagesimal， Pythagoras, hypotenuse, rational numbers, irrational numbers, circumference, logarithm and so on.2 Grasp such expressional forms as：be represented by，be equal to ，if there were a .本

6、章重点和难点Through the development of the number system，we will learn words or phrases.2 We will learn the expression of indirect proof by the example of .教学内容 integers fractions irrationals zero negative numbers ational numbers real numbers2.8 complex numbers第三章Math Story and Strategies（6学时） 教学目标1 Grasp

7、 the words or phrases 0f page 4 ，10 and 21.2 Grasp such expressional forms as：the ratio of A to B，logarithms to base e，the base 10 logarithm of e，it is the first time that a number was defined by a limiting process.本章重点和难点1 The symbol was introduced 2 The symbol was introduced 3 Inequalities for con

8、vex function教学内容3.1 The number 3.2 The number 3.3 Inequalities for convex function第四章The History（6学时）教学目标1 Grasp the words or phrases 0f page 32，41and 49.2 Grasp such expressional forms as：the ratio of A to B，logarithms to base e，the base 10 logarithm of e，it is the first time that a number was defi

9、ned by a limiting process,series expansion.3 Know some mathematical history and biographies of some mathematicians.本章重点和难点1 How is the Integral developed? Understand the ideas of indivisbles.2 How is the diferential developed? Understand the ideas of instantaneous. 3 The main ideas which underpin the calculus developed.教学内容4.1 The Integral4.2 The Differential4.