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We know that one has to deal with numbers in day-to-day life irrespective of his inclination and field of work. Also one cannot refute the fact that in this age there is not anything like mathematics being learnt for its own sake or for that matter psychology being studied for its own sake. One should understand the fact that the emphasis is on application, better decision making and trying to decipher what the future may be like. This scenario calls for professionals working in diverse fields to possess multiple skill set. In most of the cases it calls for understanding and application of elementary principles of other disciplines. To be more clear, a psychologist may not be as effective as he can if he misses out on, say, basic computer skills or a geneticist who does not possess basic knowledge in statistics or for that matter a student who wants to pursue a career in finance without knowing the basics of mathematics. Keeping this in view, we present below seven topics in basics of mathematics. The first topic 'Number Systems' deals with real number system and other basics like finding the Least Common Multiple and Highest Common Factor of the quantities given. The second topic 'Polynomials' will brush up your knowledge and provide insights as to how different quantities interact with each other. The third topic 'Simultaneous equations' will give an overview of how to solve simultaneous equations by different methods and also a method which can be applied to quadratic equations only. The fourth topic 'Theory of Indices' will demystify how one would obtain x9 as a result of multiplying x6 and x3. The fifth topic 'Progressions' will give you a better perspective of what series are. The sixth topic 'Permutations and Combinations' will prepare you to deal with selections and arrangements of things more confidently and the last topic covered is 'Logarithms'. All these topics, we hope, will help you understand the beauty and subtlety of the science called 'Mathematics' at least to some extent.
Cardioids and Limacons These can be split up into the following three cases. 1. Cardioids: r = a + a cos θ and r = a + a sin θ. These encompass a graph that is vaguel
Which of the subsequent decimals is the greatest number? If you add zeros to the end of every of the numbers so that each number has 5 places after the decimal point, it is sim
Write the next two terms √12, √27, √48, √75................... Ans: next two terms √108 , √147 AP is 2 √3 , 3 √3 , 4 √3 , 5 √3 , 6 √3 , 7 √3 ......
Ribbon is wrapped around a rectangular box that is 10 by 8 by 4 in. Using the example provided, calculate how much ribbon is needed to wrap the box. consider the amount of ribbon d
A leap year has 366 days, therefore 52 weeks i.e. 52 Sunday and 2 days. The remaining 2 days may be any of the following : (i) Sunday and Monday (ii) Monday and Tuesday (iii)
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
Multiply following. Assume that x is positive. (3√x-√y)(2√x-5√y) Solution (3√x-√y)(2√x-5√y) =6√x 2 -15√x√y-2√x√y+5√y
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When three quantities are in A.P., then the middle one is said to be the arithmetic mean of the other two. That is, if a, b and c are in A.P., then b is th
how to work out inequalities with negative signs?
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