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#71
30042009
Re: STPM Further Maths 2009
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Based on the extension of our knowledge in (c), it follows that eigenvectors which are linearly dependent has a determinant of zero. Since the new vector (a,b,c) can be expressed in terms of other vectors v1, v2, v3, it follows that this vector (a,b,c) is linearly dependent of v1, v2, and v3. If we take v1, v2 and (a,b,c) and form a Matrix, we solve the determinant = 0 to get the vector (a,b,c) in terms of v3. (the answer for this is (a + b + c)v3 which is trivial considering v3 = (1,1,1) ) Using similar methods and finding determinant for the matrices of v1,v3 and (a,b,c) & also v2, v3 and (a,b,c) we get the following solutions: (a,b,c) = (a+b+c)v3 (a,b,c) = (a+b2c)v2 (a,b,c) = (a2b+c)v1 therefore 3(a,b,c) = (a+b+c)v3 + (a+b2c)v2 + (a2b+c)v1 (a,b,c) = 1/3 [(a+b+c)v3 + (a+b2c)v2 + (a2b+c)v1] simplifying to the answer given Note that although the calculation involving matrix with v1,v3 and (a,b,c) yields a determinant of 2cba, since the determinant is = 0 we can change this form into a+b2c and get the second equation. I hope you understand my method since I din take FM exams so I dono whether it's really correct or not. I hope eurytos and/or uoykcuf can verify this for me Last edited by markwongsk; 30042009 at 08:44 PM. Reason: Automerged Doublepost 

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#72
01052009
Re: STPM Further Maths 2009
How much altogether that 5 books cost ? If can, hope got Photocopy set.....

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#73
01052009
Re: STPM Further Maths 2009
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so total is rm5001000 i got one book in my computer in pdf form, if you want u can pm me. if u can come kedah, u can find me to ask me for the book Last edited by uoykcuf; 01052009 at 11:31 PM. 

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#74
02052009
Re: STPM Further Maths 2009
Hi everyone! i'm considering taking further maths as my 5th subject for stpm. However I realized that there are not many books on further maths. From the list of recommendations that i saw, i have a few questions:
1. Is there a book which contains the complete stpm further maths syllabus? U guys listed so many different ones and it's gonna be costly to buy since my school's library is hopeless. 1a.if there isn't could u guys recommend the top 3 ones which u find most useful? I'm on a tight budget here 2. Which book did u guys used to do exercises? maths T had this Q&A book which i find quite useful but that publisher does not produce any further maths ones. 3. where can I find a collection of past yrs questions? Any help is greatly appreciated.thanks 
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#75
02052009
Re: STPM Further Maths 2009
Quote:
1a. Further Mathematics, author: Bostock & Chandler Discrete Mathematics, author: Rosen Statistic, author: Crawshaw J Chambers these are the book i think are enough for you to cover all syllabus dy. go search the old orange further math book in your school library. i think your school library got if your school is old enough. it is the text book for further math before the syllabus change. it is very useful but it is in malay version. 2. our local publisher do not publish any further math book as every year less than 100 ppl taking it. what you have to do is to see the example in the book listed above and try to understand the way to solve the question. 3. download from here http://cwooi.com/index.php?option=co...nc=select&id=2 

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#76
02052009
Re: STPM Further Maths 2009
Quote:
Actually you might not be able to "find" them in MPH itself, these books are too rare to be in the shop itself. You need to go to the customer service counter to order, either to send it to MPH, and you collect; or you ask them to send it to your house (extra RM20). If you really want to take Further Maths, I would say that you really have to PAY to get the books. And, it won't be easy: because just physics and chemistry can make you upside down... Try to BUY these if you can: 1. Gaulter, B. & Gaulter, M., Further Pure Mathematics, Oxford, 2001. It covers Complex Numbers, Matrices, Functions, Differentiation and integration, Power series, Differential equations,Coordinate geometry. 2. Bostock, L., Chandler, S., & Rourke, C., Further Pure Mathematics, Stanley Thornes, 1982 (Reprinted 2002). This book acts as the helper for the previous one. The only important thing in this book is actually Transformation Geometry. But because the previous book is a "book of little words", This one gives the explanations. 4. Rosen, K. H., Discrete Mathematics and Its Applications (Fifth Edition), McGrawHill, 2003. or 5. Scheinerman, E. R., Mathematics: A Discrete Introduction, Brooks/Cole, 2000. You need this book to do Logic and Proof, Recurrence Relations, Number Theory and Graph Theory. But the rest are far out of the syllabus. Can't help, cos STPM Further Maths don't have a allinone book... This is the most expensive one. The above 3 is very important. They cost around RM90 to RM110 each. You must have them to study. Then you might not need to buy these below, but just look for them, because you only need a little from them: 3. Anton, H., Bivens, I., & Davis, S., Calculus (Seventh Edition), John Wiley, 2002. You need it for reference on Taylor's Polynomial, Continuity and Differentiability and Parametric and Implicit Derivation of d2y/dx2. 6. Crawshaw, J. & Chambers, J., A concise Course in Advanced Level Statistics (Fourth Edition), Nelson Thornes, 2001. I won't stop you if you want to buy this, because it is really complete for the statistics part. I have this in my school library, so i asked permission from my library teacher for photocopy for chisquared, Sampling & Estimation, Correlation & Regression, Hypothesis Testing. Can you see it now? How leceh it is just to study Further Maths: a subject which you don't have a teacher beside you, and full of uncertainty when it comes to scoring... It's all up to you to decide.
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A few links worth checking out: My Life Story Further Mathematics T Blog (20032011 Syllabus) 

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#77
02052009
Re: STPM Further Maths 2009
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If There Was A Race For 2nd Place, I Would Still Finish 2nd. 

Super Junior Member

#78
03052009
Re: STPM Further Maths 2009
1. Gaulter, B. & Gaulter, M., Further Pure Mathematics, Oxford, 2001.
It covers Complex Numbers, Matrices, Functions, Differentiation and integration, Power series, Differential equations,Coordinate geometry. 2. Bostock, L., Chandler, S., & Rourke, C., Further Pure Mathematics, Stanley Thornes, 1982 (Reprinted 2002). This book acts as the helper for the previous one. The only important thing in this book is actually Transformation Geometry. But because the previous book is a "book of little words", This one gives the explanations. is 2 sufficient without 1? besides the examples in the books where can i find more exercises? 
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#79
04052009
Re: STPM Further Maths 2009
Quote:
It is my greatest regret that during my times of need there wasn't someone there to guide me through it. Hopefully you won't need to go through what i had to.
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If There Was A Race For 2nd Place, I Would Still Finish 2nd. 

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#80
08052009
Re: STPM Further Maths 2009
Huh? I 'am' taking further mathematics this year...
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A few links worth checking out: My Life Story Further Mathematics T Blog (20032011 Syllabus) 
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