June Holiday Assignments

Hi everyone,

Please refer to the following information for your June holiday assignments.

1. Add Maths (402 & 511)
Nov 2006 Paper 1 (402 students, pls omit Q1, 4, 5, 7i)
Nov 2006 Paper 2 (402 students, pls omit Q1, 4, 8, 10, 12Either)

511A students, there will be no omission of questions.

2. Elem. Maths (402)
Nov 2004 Paper 1 (Pls omit Q24, 25)
Nov 2004 Paper 2

All papers need to be submitted to me on the 4th week of your vacation. I would expect full attendance during my holiday classes.

Have a good break!!

Binomial Expansion

1. (i) Calculate the coefficient of in the expansion of . [2]

(ii) Obtain the expansions of and in ascending powers of x. Hence or otherwise, find the coefficient of x, x² and x³ in the expansion of . [4]

2. (a)

(i) Find the first three terms in the expansion, in ascending powers of x, of . [2]

(ii) Hence find the value of p such that the coefficient of in the expansion of is . [3]

(b) Find the term independent of x in the expansion of . [3]

3. Write down and simplify the first four terms in the expansion, in

ascending powers of x, of . [2]

Use this expansion to

1. estimate the value of , correct to 3 decimal places, [2]

2. find the coefficient of in the expansion

. [2]

4. (a)

(i) Obtain the expansion, in ascending powers of x, of . [3]

(ii) Hence find the coefficient of in the expansion of [2]

(b) Find the term independent of x in the expansion of . [3]

5. (a) Find the term independent of x in the expansion of . [4]

2. Expand up to the term in x³. [ 4 ]

Solution to Binomial Exercises

Binomial Assignment

To all my A-Maths students,

Wishing all of you a Happy Chinese New Year!!

Your ang pow is attached. Pls submit by Monday, 11/2/2008.

Have a good holidays.

Any problems with probability?

Hi everyone, we have completed the topic on probability. I do hope that all of you are able to understand and cope with the topic.

Now, if you have any difficulty or queiries with the topic, do drop me with your comment. Remember to sign out with your name.

Thanks.