JEE (Advanced) 2014 : Study Tips For Mathematics | MATHEMATICIA

JEE (Advanced) 2014 : <b>Study Tips</b> For <b>Mathematics</b> | MATHEMATICIA

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JEE (Advanced) 2014 : <b>Study Tips</b> For <b>Mathematics</b> | MATHEMATICIA Posted: 09 Apr 2014 09:00 AM PDT 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.

<b>Study</b> in US <b>Tips</b> to Prepare for GRE <b>Maths</b> » <b>Study</b> in US Posted: 28 Dec 2010 08:20 AM PST GRE math section consists of questions which include quantitative comparisons, multiple choice questions and analysing graphs. With 45 minutes, candidates are expected to solve around 28 questions over a wide array of topics covering arithmetic operations, percentage, estimation radical expressions, absolute value, algebra, geometry principles and data analysis. Format and difficulty level GRE maths includes 14 questions of quantitative comparisons, 9 multiple choice questions and 5 graphs. They test the basic mathematic skill of the students with focus on ingenuity rather than in depth knowledge that could have given undue advantage to students of maths. So although the difficulty level of the GRE math problems is not very high, students are expected to be able to spot the easy questions and tick them off rather than wasting time over lengthy solutions. Use the substitution technique One of the things that work very well for many students is the idea of substituting. Often you have a question where you will arrive at an equation and a lot of students try to solve that equation and get to the answer. This could be a time consuming way. If you have 4 simple multiple choices, you can substitute them and straight away get the right answer. Manipulate the expressions and think out of the box When we think numbers we always think about positive integers. This could also lead to out downfall. When you are choosing possibilities for a particular question and trying to make assumptions, consider extremes as well like fractions, negative integers etc. Thinking differently will always help you avoid the bigger blunders of estimation. A simple way of manipulating the expression could also be to cancel out the equals from both sides, making the final calculations or estimations easier. Don't get down to doing the math till the last step Sometimes you might not have a choice but in most cases, your approach is wrong if you are going into deep calculations. Most questions are framed to be solved easily if you spot the right concepts and factors. In fact, in case of some questions, where you know about specific conditions or theorems, you don't even have to put pen on paper. A good example is in case of geometry angles. So, always try to spot the easy answers before sitting out to calculate things the hard way. To try out some of your GRE math skills, you can test yourself with this free GRE math practice test.

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