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TOEIC・英語 大学生・専門学校生・社会人

英語がとっても苦手で何が書いてあるか全く分かりません。 明日の朝提出しなければならないのでどなたか解いてください。お願いしますお願いします。

44 15 20 25 30 Lecturer 10 Class times Office hours* Classroom Textbook Reading Read the following passage and answer the questions. English Writing Core I 43 ► This course is for foreign students to learn basic academic writing skills. The course is divided into three classes according to the results of a placement test. ► The placement test is on Tuesday, September 2 at 9:00 in Bldg. 10 Room 1. ▸ After the test, students must visit the student office by September 9 to register. This is a half-year course, and students who have completed one level can enter the next level in the spring term without taking the placement test. Level 1 Level 2 Level 3 Prof. Smith Friday 9:00 a.m.-10:30 a.m. Friday 10:45 a.m.-12:00 p.m. Bldg. 12 Room 1 "Advanced Writing Strategies Level 1: This course introduces students to the basics of English academic writing. Students will begin by learning how to write a coherent paragraph and then apply this skill to writing a five-paragraph essay. They will learn how to create an effective thesis statement, topic sentences, introduction and conclusion, as well as how to organize supporting sentences logically. Students are required to submit one single-paragraph composition, one essay outline and two essays on pre-selected topics at the end of the course for assessment. | 43-45 英 Green Valley University, Autumn Semester Level 2: In this course students focus on gaining an in-depth understanding of the form and function of *argumentative writing and compare and contrast representative essays. Emphasis is placed on writing effective thesis statements and developing paragraphs. Students also learn effective citation, paraphrasing and summarizing skills. Reading academic articles to improve their writing style and vocabulary is a key feature of this course. Assessment is based on two short essays and a paraphrasing and summarizing task. 4 Bldg. 19 pre-selected 24 paraphrase Prof. Simpson Prof. Wheeler Wednesday 9:00 a.m.-10:30 a.m. Monday 10:30 a.m.-12:00 p.m. Wednesday 10:45 a.m-12:00 p.m. Monday 1:20 p.m.-2:50 p.m. Bldg. 10 Room 1 "Have Fun Writing" Bldg. 10 Room 5 "Essay Writing Skills" Level 3: For more experienced students, this course aims to develop advanced essay. writing skills. Emphasis is placed on taking a position in an argumentative essay, researching, evaluating sources and logically developing ideas throughout the essay Students will also learn how to effectively integrate a range of sources into their writing. Assessment is based on one long essay on an academic topic chosen by the student. (379 words) * office hours: 大学の研究室などで教員に面談が可能な時間帯 thesis statement: (エッセイの) 主題文 argumentative: Words & Phrases 32 9 Prof. 20 assessment 29 take a position 15 coherent 21 in-depth 31 integrate A into B 19 composition 24 citation 31 a range of~ Read the passage and put T (True) or F (False) in the brackets. (各2点) (1) Students cannot choose the level of the course they want to take. (2) Students who have finished the level 2 course can enter the level 3 course without taking a test. ( ) (3) All students, whichever level they are taking, must submit at least one essay on a topic chosen by the student for assessment. ) 2 Questions Answer the following questions. [1] Choose one word which has the same pronunciation as the underlined part of the following word from the passage. (4点) thesis a. beneath b. breathe c. worthy d. smooth [2] Complete the answer to the following question. "What is a placement test?" "It is a test to [3] Hiroshi wants to see the lecturer of the Level 2 course to ask some questions. Tell him what to do to see the lecturer. (6点) [4] Choose the suitable word for each blank. (1) Level 1 students focus on how to write logical and well paragraphs. a. devised b. organized c. known (2) Level 3 students have to make their opinion essay. a. correct b. decent c. clear [5] Choose the suitable phrase for the blank. "Level 2 students are required to fully understand a. what argumentative writing is b. how important it is to write an effective thesis statement c. what the basic structure of English academic writing is d. how argumentative writing is evaluated 3 Listening Quiz (1) a. Visit the lecturer at the specified time. b. Go to Room 1 in Building 10 by September 9. d. spoken d. different (5点) c. Buy the textbook during the specified period. d. Register at the student office by the closing day. (2) a. To learn how to organize supporting sentences logically. b. To improve their writing style and vocabulary. c. To create an effective thesis statement. d. To develop ideas logically throughout the essay. (各4点) Listen to the recording and choose the best option. in an argumentative (5点) 45 回 (各3点) 33

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数学 大学生・専門学校生・社会人

複素数の問題です。 全て解いてほしいです。 特に問題4の解説をよろしくお願いします。

問 ■複素平面と極形式 題 複素数zは:=Rez+ i Imz と書くことができ、実部 Re z をx座標、虚部 Im:をy座標に見立てることで、 ガ ウ こを2次元平面上の1点として捉えることができる。この平面を複素(数)平面ないしGauss 平面と呼ぶ。 一方、ある複素数zを、二つの実数r,e(ただしr>0に制限す る)を用いて Im ミ=ree という形で表わしたものを:の極形式表示と呼ぶ。e の逆数は -1 Im:=rin 1 で定義する。 er Imz 問[]()r= |, tan @ = が成り立つことをそれぞれ示せ。 Rez (i) 逆数の定義に基づいて (e")= e-t0 であることを示せ。 Re Rez=r このようにこの絶対値であるrは複素平面における原点(0+ 0i) から、までの距離を表わし、0は原点とこを結ぶ線分が実軸となす 角を表わす。はarg z とも書き、偏角 (argument)(物理や工学で はしばしば位相(phase))と呼ぶ。原点の周りを一周しても同じ点 に戻ってくることから、0には 2x ラジアン= 360度の整数倍の不 定性がある。また、0+0iの偏角は定義されない。 図1 複素平面。 偏角と加法定理 絶対値が1の二つの複素数 Im 21= COs # +isin @, 2= cos #,+i sin @。 を考える。ここで0,,02 は実数とする。 問 [2]() 積22 を計算し、三角関数の加法定理とオイラーの公 式を用いて極形式表示に直せ。また、同様にして商z/zz = zi の極形式表示も求めよ。(i) 21,22の複素平面における表示を図2 とする。このとき、積」みと商z/を複素平面に図示せよ。 0.5 Re -10 -0.5 0.5 21= e,22= e であったから、小間 (i) のとくに積の方の結 果から、次の基本的な指数法則が成り立つことが理解できる: 基本的な指数法則 -0.5 実数,に対してelh el = e(h+h)が成り立つ。 図2 と2の複素平面における表示。 また、小間(i) の結果から、22= e' hを掛けることで」から偏 角がだけ反時計回り方向に回り(角度が+)、2で割ることで 2」から偏角はだけ時計回り方向に回る(-)ことが納得できる。

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