For me , algebra was like a nightmare , even today. Thankfully there is no algebra course here in B.Tech. Here is a chapterwise analysis of algebra as most people demanded. I am sorry for the delay.
Complex numbers : as the name suggests , it's a really complex chapter. Contains a large number of concepts. This chapter integrated with coordinate geometry serves as the source of a large number of questions. Be careful with this. Locus problems are asked from this chapter wherein the definitions are given in complex number notation and you are expected to decipher it. The triangle inequality is another important aspect.
Quadratic Equations : A rather simple chapter but very much interesting. Make sure you know all the concepts. This would be easy if you practice past years problems well.
Progressions and series : The so called Vn method is most important. Recursion problems are the favourite ones. Make sure you know the definitions well and are well equipped to apply them whenever needed.
Logarithms : Simplest one. But the base change formula is important. Direct questions are asked rarely but they can test you in say a different way but integrating this chapter with other chapters of algebra.
Permutations and Combinations : The most difficult chapter for me. I am still confused so I can't really say anything but make sure that you solve a large number of problems.
Binomial Theorem : Easy one. Practice a handful of problems and you are done.
Matrices : Simplest chapter of algebra. But the paper setters know how to make you sweat in matrices problems. Check the paragraph that was asked in JEE 2010. It is the toughest problem from this chapter.
Probability : Not really difficult but not easy too. Practice board level problems in the beginning and then move on to tougher ones.
Algebra is an important and a diverse topic with a large weightage so make sure you practice it well.
