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Saturday, 26 April 2014

JEE (Advanced) 2014: Study tips for Mathematics | India Results and ...

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JEE (Advanced) 2014: <b>Study tips</b> for <b>Mathematics</b> | India Results and <b>...</b>


JEE (Advanced) 2014: <b>Study tips</b> for <b>Mathematics</b> | India Results and <b>...</b>

Posted: 15 Apr 2014 04:43 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 3x3 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> confirms monkeys can do <b>math</b> | The Verge

Posted: 22 Apr 2014 02:11 AM PDT

Scientists have long suspected that monkeys are capable of mental arithmetics and a new study is helping them prove it. A research team led by neurobiologist Margaret Livingstone trained three rhesus macaques to identify symbols representing the numbers zero to 25. They then taught the test subjects how to perform addition. To eliminate the possibility of rote learning, the team had the monkeys learn an entirely different set of symbols representing the numbers zero to 25. The monkeys were able to reapply their previous knowledge to the new set and continue performing basic mathematics.

Monkeysee

The image above shows one of the monkeys preparing to choose the four and five combination on the panel. It has learned that the combined value is greater than eight and will therefore yield a larger number of liquid drops. According to the study, all three monkeys were on average capable of choosing the correct answer "well above" 50 percent of the time. This rules out the possibility of chance. What's also interesting is how the monkeys were routinely undervaluing the smaller number in a given equation. This challenges the idea that mammalian brains perceive numbers logarithmically and may help researchers better understand how human beings process numbers.

5 <b>tips</b> for Solving <b>Mathematics</b> Problems | OneClass Blog

Posted: 29 Nov 2013 12:17 PM PST

Newton OneClass

Helping students get better grades since 2010

Every student has had to study mathematics some point in their lives time. Some students love it and some students absolutely hate it. Regardless of what you are studying, it is important to understand the basics of mathematics.

7 tips for solving maths problems

1. We are talking about practice! Maths is not a game!

In order to properly study maths, you must get down and do as many practice problems as you possibly can. The more maths questions you do, the better your understand will be. Each maths problems has its own rules and it is important to know those rules before writing your maths tests and exams. OneClass provides students with practice problems – check it out!

2. Double loop learning – Don't make the same mistakes twice!

Let's face it. When you are solving practice maths problems, you are going to make mistakes. The great thing about making mistakes is that you are able to review these mistakes and learn from them so that you don't make the same errors on your maths tests and exams. Make sure you understand where you went wrong and ingrain that error into your head.

3. Unlock the key concepts

The last thing you want to do when you are studying maths is memorizing the exact processes. It is much more productive if you focus on understand that process and the logic that is associated with the process. Because maths is a sequential subject, it is important to understand the basics. If you are having difficulties solving complex problems, first try solving easier problems that focus more on the basics. You can review key concepts with OneClass Exam Video tutorials.

4. Understand your frustration points

Maths can be extremely frustrating at some points. Some concepts are extremely difficult and can leave yourself questioning "should I just quit?" It is very important to understand your points of frustration. You don't need to master every question. Move on to the next question, or go back to questions that you understand to help re-build your confidence. Absolutely do not give up!

If you find it helps, study with a friend so that you can talk to one another when you get stuck. It is also terrific practice if you are able to explain concepts to another person to help perfect your understanding.

5. Find the perfect study spot

Students need to be able to concentrate wen studying maths. It is crucial for you to find a study area that is a distraction free zone. Music can help when studying, but make sure that it is not distracting you.

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