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Professional English —— for students in college of mathematics and statistics Lecture 1: Introduction

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1.An introduction 2.How to survive 3.What will be covered 4.Concluding remarks Table of Content 2

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3 Introduction to this module Credits 20 Schedule 10 lectures (week 2-4, 7, 10-15) Methods English-teaching & Active involvement 1. Introduction 2. Methods 3. Results (discussion)

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Whether will you pass the exam? 4 It depends! But tell you the way to survive One long presentation (40%, team work) The organization; Team-work spirit; Achievement …… One short presentation (30%, personal) Clearance; The organization …… One project report (30%, individual effort) My observation (1. actively involved in every course; 2. come to this module on time; 3. creativity; 4. do not just listen, try your first time academic writing; 5.good relationship with me ……) Your ways of putting what you have done in English

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About the long presentation 5 1.Form 3 groups, each choose “introduction”, “methods”, “results” as your topic 2.Write your own topic academically, and submit report which will be evaluated by students from other group 3.Summarize the topic from other group, and write your idealized topic which will be finally presented in class Week 13 rd Week 15 th

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About the short presentation 6 1.Choose any topic you like 2.Make your presentation in the way of “introduction”, “methods” and “results” 3.I will give suggestions to each presentation Week 7 th, 11 st, 13 rd, 15 th

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Lecture 1: Introduction (week 2 nd ) An introduction How to survive What will be covered Warn up: some popular expression in math Lecture 2: Professional writing: Introduction (week 3 rd ) Most popular math journals and their papers The basic characteristics of Professional English in math The popular vocabulary and characters in math Something about the paper submission and revision Topics covered 8

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9 Lecture 3: Professional writing: Methods (week 4 th ) How to describe methodology in a clear way Popular methods used in journal papers Analyze several methods examples Words popular in methods Lecture 4: Short presentation (week 7 th ) Opening remarks Student presentation (5 min) Teacher’s comments (1 min) Concluding remarks Topics covered

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10 Lecture 5: Professional writing: Results (week 10 th ) How to summarize your results Analyze several results examples Phrase and word popular in results The discussion of the results Lecture 6: Short presentation (week 11 st ) Opening remarks Student presentation (5 min) Teacher’s comments (1 min) Concluding remarks Topics covered

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11 Lecture 7: Topics other than mathematics (week 12 nd ) Physics Biology Pharmacy Computer science Lecture 8: Short presentation (week 13 rd ) Opening remarks Student presentation (5 min) Teacher’s comments (1 min) Concluding remarks Topics covered

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12 Lecture 9: GRE mathematics (week 14 th ) Ask questions Answer questions Is there better way to solve GRE questions Concluding remarks Lecture 10: Cross evaluation of reports submitted (week 15 th ) Opening remarks G1: Introduction (25 min) G2: Methods (25 min) G3: Results (25 min) Concluding remarks Topics covered

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Warm up: translate Roll’s Theorem If a real-valued function f is continuous on a closed interval [a, b], differentiable in the open interval (a, b), and f (a) = f (b), then there exists a x in the open interval (a, b) such that the derivative of f (x) = 0. 罗尔定理 如果实函数 f 在闭区间 [a, b] 上连续, 在开区间 (a, b) 内可 导, 并且 f (a) = f (b), 那么在开区间 (a, b) 至少有一点 x 使 得 f ' (x) = 0.

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1 ． +: and, plus, added to 2 ＋ 4 ＝ 6 ： Two and four is six. Two plus four is equal to six. Two added to four equals six. Two and four makes six. Two plus four will be six. If you add two to four, you get six. Some popular expressions in math

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2 ． — ： minus, taken from, subtracted from 8 － 3=5 ： Eight minus three is five. Eight minus three is equal to five. Three taken from eight leaves five. Three subtracted from eight leaves five. Take three from eight and the remainder is five.

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3 ． X ： multiply···by···/ multiplied by / times 3 × 5 = 15 ： Multiply three by five is (gives) fifteen. Three multiplied by five is fifteen. Multiply three by five, you get fifteen. Three times five is (makes, will be, equals, is equal to ) fifteen.

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4 ． ÷ ： divide···by···/divided by / divide···into···/ into 24 ÷ 8 = 3 ： Twenty-four divided by eight makes (is, equals ) three. Twenty-four divided by eight is equal to three. Eight into twenty-four goes three times. Divide eight into twenty-four, and you get three. Divide twenty-four by eight, and you get three.

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Enjoy more on the next lecture Any questions? Thank you!

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