【DSE 臨場急救雞精】DSE M1&M2考試答題必備概念+伏位

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過幾日就考DSE M1, M2喇,考DSE M1/ M2 要好小心(好多伏位!),不過時間充足吾駛急住做, 識做既一定夠時間

下面我就住每個section提番M1M2 分別要注意既概念/伏位,當係臨場急救雞精啦~


M1

1. Binomial Theorem

  1. 搵第R項 (Rth term) 系代R-1而吾系代R! 
  2. 搵constant term就即系冇x 既term

2. Limit Theorem

  1. 記得溫limit when n->∞點處理:全式除最大次方既n (多數字面會提示very long time) 

3. Calculus Section

  1. 記得要用chain rule! 有時可能唔只要用一次
  2. 有機會既可以用product rule去避開用quotient rule既麻煩 (將次方變負搬上去)
  3. Implicit Differentiation記得要系後面用chain rule補番個 dy/dx (Rate of change題目多數系 d?/dt) 
  4. 記得點describe rate of change of N and dN/dt (2015&2016 Last Q) 
  5. Integrate x^(-1) 記得要加 absolute value, 除非題目講到明x>0
  6. Indefinite Integral 記得要加C! 
  7. Integration by Substitution之前有機會要用 partial fraction (2014 Q4b) 
  8. (好多人比呢樣陰!)要記得Area bounded by curve既assumption: Area is assumed to be positive if the curve is above x-axis, f(x)>0. 
  9. Area bounded by curve吾一定系得一個sector of area! 有可能要拆開個definite Integral 
  10. Trapezoidal Rule要同second derivative一齊溫, 要搵Error或者absolute difference既話建議加個absolute sign!

【按此查看:M1 Calculus Notes】

3. Probability/Statistic Section

  1. 記熟 P(AUB) = P(A) + P(B) – P(A⋂B) 
  2. 諗吾到就畫個Venn Diagram睇,會易好多!
  3. Mutually Exclusive既Condition:  P(A⋂B)=0
  4. Independent既condition: P(A⋂B)=P(A)P(B), 吾等於就系Dependent 
  5. 見到問Bayes Theorem最好畫個tree diagram! 
  6. 記熟四個common distribution, 大題會炒埋一碟問!
  7. Binomial 經常問既題型:第N個event A系會系第M次既event B (2013 Q13(b), 2014 Q13(cii), 2015 Q10(b),…, 2019 Q10(bii)) 
  8. Normal Distribution個圖系由中間開始, 要記得適當既加減0.5 
  9. 小心睇計緊既系population定sample, variance條式系吾同
  10. 要識得系表度睇Confidence Interval既Z, 吾一定出90%, 95%, 99%架!

【按此查看:M1 Probability & Statistics Notes】


M2

計數機記住轉番做Radian Measure!!

1. Binomial Theorem

  1. 搵第R項 (Rth term) 系代R-1而吾系代R! 
  2. 搵constant term就即系冇x 既term

2. Mathematical Induction (M.I.)

送分題!記熟答題既5步框架!

  1. Define statement p(n)
  2. Check n=1 case
  3. Assume n=k is true
  4. Check n=k+1 case
  5. Conclusion by M.I.

3. Limit Section

  1. 記得溫limit when n->∞點處理:全式除最大次方既n (多數字面會提示very long time) 
  2. 溫番點搵 Horizontal and Vertical Asymptotes 
  3. (5*/5**) 溫Oblique Asymptotes

4. Calculus Section (Differentiation)

  1. 明白First Principle既Concept,唔好淨系背式!
  2. 記得要用chain rule! 有時可能唔只要用一次
  3. 有機會既可以用product rule去避開用quotient rule既麻煩 (將次方變負搬上去)
  4. Implicit Differentiation記得要系後面用chain rule補番個 dy/dx (Rate of change題目多數系 d?/dt) 
  5. (5*/5**) 溫點describe rate of change of N and dN/dt 
  6. 留意relative同absolute maximum/minimum 既分別
  7. 留意 f’(x) = 0 吾一定等於有 maximum/minimum point, can be inflection point ! 
  8. Curve Sketching既步驟記清楚!

【按此查看:M2 Calculus Notes】

5. Calculus Section (Integration) 

  1. Integrate x^(-1) 記得要加 absolute value, 除非題目講到明x>0
  2. Indefinite Integral 記得要加C! 
  3. Integration by Substitution之前有機會要用 partial fraction 
  4. (最近經常出黎陰人)要記得Area bounded by curve既assumption: Area is assumed to be positive if the curve is above x-axis, f(x)>0. 
  5. Area bounded by curve吾一定系得一個sector of area! 有可能要拆開個definite Integral 
  6. Trigo Substitution 要小心邊個數要開方/要二次,同埋可以出到要你Complete Square先再代U
  7. By part 代數既先後次序 (e^x, sinx/cosx, x^n…)
  8. Recursive 既 By part 題目要記得點處理
  9. (5*/5**) By Part 部分可以溫埋Reduction Formula
  10. Disk Method:空心既Solid Volume (將大D條式減細D條式)

6. Matrices +System of Equations

  1. 3×3 既det要識用手計!(同埋計det既前提一定要系 square matrix)
  2. 要知道det=0 同吾等於0代表既意義
  3. 睇番點搵同點用inverse matrix去solve system of equations (unique solution)
  4. (經常用) 溫熟Cramer’s Method 或 Gaussian Elimination Method (3 types of solutions)

7. 2D/3D Vectors

  1. Position vector means the vector starts from Origin! 
  2. Dot Product系Scalar,Cross Product系Vector,同埋點樣去check隻角系0定90度
  3. 要明白Dot Product既meaning,淨系背式去到大題會搞吾掂!
  4. (5*/5**) 用determinant 去搵Volume of parallelepiped

而家既你地可能會睇DSE睇得好重,的確系重要但系吾需要過於緊張,當系做mock放鬆去考啦!

而家既你地可能會睇DSE睇得好重,的確系重要但系吾需要過於緊張,當系做mock或past paper,放鬆去考啦!

考完就好好去放鬆下,吾好搵答案對!希望今次giveaway同final reminder可以幫到你地!

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