# JEE (Advanced) 2014 : Study Tips For Mathematics

With JEE (Advanced) 2014 just over a month away, it is time engineering aspirants pep-up their preparations for the exam.

The JEE (Advanced) question paper consists of questions from: Mathematics, Chemistry and Physics.

Students may find Mathematics a little overwhelming while preparing for the exam. Here are a few helpful tips for students which will them master the subject.

**Paper pattern :**

The exam consists of two objective type (MCQ) question papers, designed to test comprehension, reasoning and analytical ability of candidates. Both the papers will be held for a duration of three hours and are made of three separate sections on Chemistry, Physics and Mathematics.

Candidates can answer the questions in English or Hindi. Negative making is applicable for every wrong answer.

**Mathematics syllabus :**

**Algebra –**

Quadratic Equations and Expressions, Complex Numbers, Probability, Vectors and 3D Geometry, Matrices

**Coordinate Geometry –**

Circle, Parabola, Hyperbola

**Calculus –**

Functions, Limits, Continuity and Differentiability, Application of Derivatives, Definite Integral

**Tips :**

If we analyse the previous year JEE papers, they suggest that the candidates should pay more attention to Vectors and 3-D than Probability or Indefinite integration as vectors and 3-D offers very less scope to examiner, as far as variety in problem is concerned. Each year 2-3 questions are asked from Complex Number. Therefore mastering complex numbers, vectors, 3-D and Definite integral should be their top priority.

- Students can make Algebra easier if they can harness the ability to picture functions as graphs and are good at applying vertical and horizontal origin shifts carefully as zeroes of functions and other specific values can be done in much less time using these techniques.
- Differential calculus again relates well to roots of equations, especially if you use the Rolle’s and Lagrange’s theorems.
- Students can use Complex numbers to solve questions in co- ordinate geometry too. Trigonometric questions require applications of De Moivre’s theorem.
- Permutation, Combination and Probability is another very important topic in algebra. Students have to be thorough with the basics of Bayes theorem, derangements and various ways of distribution, taking care of cases where objects are identical and when they are not.
- Matrices can be related to equations, hence a 3×3 matrix can actually be visualized as being three-planed in 3D geometry. Determinants have some very nice properties, for instance, the ability to break them into two using a common summand from a row/ column, which should be made use of in tougher questions.
- Integral calculus can be simplified using tricks and keeping in mind some basic varieties of integrable functions. Remembering the properties and applying them wisely saves lot of time.
- Coordinate geometry requires a good working knowledge of the parametric forms of various conic sections and an ability to convert the other, tougher ones to these basic forms and then interpret the solutions accordingly.

The most important point to keep in mind is that Mathematics can only be mastered with regular practice. Hence the students should try and solve as many sample papers and problems as possible on a regular basis.