Mathematics is the foundation of complex engineering calculations. You must make your Math fundas strong if you want to pursue any engineering field out there be it Computer Science or Mechanical Engineering.
One thing you must understand early on is that Math is one subject where you can master yourself only by more and more practice. The JEE Syllabus for Maths has close to 15 chapters which you have to cover over a period of 2 years (Class 11 and Class 12).
Unlike Physics or Chemistry, there is no such section that you could probably skip to concentrate on the important topics as in Maths, there is nothing called a very important or a less important topic. Everything is dependent on one another, so you will be better off practicing problems from all the 15 chapters in the Maths syllabus for JEE.
List of important Topics in Maths for JEE By Syllabus Weightage
These topics have been classified as fundamentals in Maths. You can expect 1 – 2 questions from these topics in the Maths section on your JEE paper.
- Inverse Trigonometric Functions – Weightage: 2%
- Circles and Family of Circles – Weightage: 6%
- Sequence and Series – Weightage: 5%
These 4 topics are important & easy and you should use them to your advantage to increase your JEE Math scores. Do not do silly mistakes from questions in these sections.
- Applications of Derivative – Weightage: 4%
- Limit and Continuity – Weightage: 3%
- Matrices and Determinants – Weightage: 4%
- Straight Lines and Pair of Straight Lines – Weightage: 2%
These 7 topics are absolutely important for JEE Maths. As it is, you can expect questions of varied difficulty from the topics in this section. For JEE Main 2017, 2 – 3 questions from most of the topics listed below are expected on the paper.
- 3-D Geometry – Weightage: 5% Questions from this topic are generally straight forward so you can solve them easily by reading the questions properly.
- Probability and Statistics – Weightage: 7%. I was weak in probability and paid the price for this.
- Vector Algebra – Weightage: 5%
- Integration – Weightage: 8% (Definite + Indefinite integration)
- Complex Numbers – Weightage: 5%
- Parabola – Weightage: 3%
- Trigonometric Ratios – Weightage: 3%
And finally, here is a list of the topics that you should study atleast once and try to create cheat-sheets or flashcards to help your revise the formulas. You can expect 3 – 4 questions mix and match from the topics below.
- Logarithms – Weightage: 1%
- Quadratic Equations
- Theory of Equations – Weightage: 5%
- Sets, Relations and Functions – Weightage: 4%
- Differentiation – Weightage: 2%
- Permutation and Combination – Weightage: 2%. You should study this properly as concepts from this section will be needed in Probabilty
- Binomial Theorem – Weightage: 1%
- Hyperbola – Weightage: 2%
- Ellipse – Weightage: 2%
- Fundamentals of Mathematics
- Solution of Triangle – Weightage: 1%
By average Number of questions asked in previous year JEE Main / Advanced Maths papers:
- Coordinate Geometry – 7 Questions were asked on an average every year in the JEE
- Continuity/ Differentiability, Limits – 3 Questions
- Complex No., Quadratic Equation – 3 Questions each
- Integral Calculus – 3 Questions
- Sequence and Series – 2 Questions
- Trigonometry – 2 Questions
JEE EXAM does not bias against the topics. There is a question from almost every part. What you feel is scoring depends totally on your preparation. So you cannot expect a uniform answer on this type of question. I would rather suggest you to identify your scoring areas and try to attemp paper accordingly.