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可導性
這是有關「可導性」（differentiablity）的討論，寫給那天沒有上復活假期補課班的中六同學。注：討論純粹以中學數學的觀點出發。 先請同學回答下面三道是非題： 1. Put into the expression of and it is undefined, then is not differentiable at . True? 2. If , then is differe… more →
Quod Erat Demonstrandum
Review Problems for 324 Final
koopakoo wrote 1 month ago: Chapter 14 Review, pg 946. Q37, 39, 47, 48. Chapter 15 Review, pg 1023, Q50, 51. Problem Plus pg … more →
Mid-Term 2 Solution
koopakoo wrote 1 month ago: 1) (a) (b) Hence is conservative. Therefore, by the fundamental theorem of line integrals, since … more →
Math 324 Mid-Term 1 Solution
koopakoo wrote 2 months ago: 1) (a) (b and c) 2) (a) The triple integral is maximized when the integrand is everywhere non-neg … more →
可導性
— 4 comments
johnmayhk wrote 2 months ago: 這是有關「可導性」（differentiablity）的討論，寫給那天沒有上復活假期補課班的中六同學。注：討論純粹以中學數學的觀點出發。 先請同學回答下面三道是非題： 1. Put into the … more →
Tricks of Integration (1) - The Koop Subs
— 6 comments
koopakoo wrote 3 months ago: In this article, I will talk about some of my favorite substitutions for integration, which I will n … more →
有關數學教師的話-堂上gag-Kai聞
johnmayhk wrote 3 months ago: 一些有關數學教師的對話 昨天，在上班的小巴上，兩名中壯年男士在我座位後高談： 「數學老師最緊要識教書，阿仔之前個數學老師識教，講得佢地明，但係今年果個，講o黎講去都唔知佢講 mug。」 「係呀，數學老 … more →
三月不是改卷的日子，哪天是?
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cally wrote 3 months ago: 苦悶。眼前一大堆功課。有抄書。有把妳說過照寫一次。很想看得仔細。就是悶。 唉，jam機。手停。後面的工作更兇猛。 書。看和編。電影節。牛下訪問。小小小劇本。 呆了一個下午。看著享受陽光的窗前玫瑰。默 … more →
簡報：數學教育研討會 2009
johnmayhk wrote 3 months ago: 2009-03-14 (SAT) 出席香港教育學院文理學院主辦《數學教育研討會 2009 數學學與教 – 東方的理論框架》 講者及講題如下： 林福來（LIN Fou-Lai）國立臺灣師範大 … more →
Limit of tan(x)/x
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johnmayhk wrote 4 months ago: When introducing the following ‘important’ limit to F.6B boys, , I added the following q … more →
A possible HKAL Pure problem?
koopakoo wrote 4 months ago: Let (a) By expanding the determinant along the last row (or otherwise), show that det(A) is a cubic … more →
快樂才是創意課堂的主菜?
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cally wrote 4 months ago: 「筆可能」創意寫作計劃咋天完了。沒有教過這樣長的寫作課，比城大創意媒體的正規寫作班還要長，十月閞始，二月結束，橫跨了五個月，真不易，是對學生不易，又要做part time (是的，中三已開始做了) … more →
Preparing for the Exam (2)
koopakoo wrote 4 months ago: Here are a collection of relatively easy problems: 1) Can you find a 4 by 4 matrix, that is NOT uppe … more →
Answer to Basic Linear Algebra Questions (1)
koopakoo wrote 4 months ago: The following is a list of basic questions you should know how to answer (by heart) (1) Suppose are … more →
Some F.4 textbook questions
johnmayhk wrote 4 months ago: Students may find the following textbook questions difficult. Question 1 Refer to the figure below, … more →
Hints to Selected Problems in HW 5
koopakoo wrote 4 months ago: For 3. Answer the following mini questions: (a) Let A = B + I, what is rank(A)? (b) What is (c) If … more →
Preparing for the Linear Algebra Final (1)
koopakoo wrote 4 months ago: The following is a list of basic questions you should know how to answer (by heart) (1) Suppose are … more →
Hints to Selected Problems in HW 4
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koopakoo wrote 4 months ago: 1b: Use part (a), Proposition 4.41 and rank-nullity. 2c: Use 2b, and HW problem 3a. 2e: what are the … more →
Hints to Selected Problems in HW 3
koopakoo wrote 5 months ago: Many of you were stuck in problem 1, and I think part of the reason is that you have trouble underst … more →
出現 A 先於 B 的機會
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johnmayhk wrote 5 months ago: 常見題目：擲一顆公平骰子若干次，求得到 1 點先於得到 6 點的概率。 此例容易，因 1 點和 6 點在地位上無異，易知要求概率為 。 改一改題：擲兩顆公平骰子若干次，求得到總點數為 4 點先於得到總 … more →
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