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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.
Let f : R 3 → R be de?ned by: f(x, y, z) = xy 2 + x 3 z 4 + y 5 z 6 a) Compute ~ ∇f(x, y, z) , and evaluate ~ ∇f(2, 1, 1) . b) Brie?y
Compute the linear convolution of the discrete-time signal x(n) ={3, 2, 2,1} and the impulse response function of a filter h(n) = {2, 1, 3} using the DFT and the IDFT.
1) Let the Sample Space S = {1, 2, 3, 4, 5, 6, 7, 8}. Suppose each outcome is equally likely. Compute the probability of event E = "an even number is selected". P(E) = 2) A s
what are the formula in the operation of fraction and how will i apply the operation of fraction on word problems
2 5 - 6 7 4 6 8 -10 8- 6 1 4
4+8/56.75
Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a foot ball match? Ans: equally likely because they are mutual
There is a staircase as shown in figure connecting points A and B. Measurements of steps are marked in the figure. Find the straight distance between A and B. (Ans:10) A ns
Write a script to determine the volume of a pyramid, which is 1/3 * base * height, where the base is length * width. On time the user to enter values for the length, width, and th
The boundary of the shaded portion in the adjoining figure consists of our half-circles and two quarter-circles. Find the length of the boundary and the area of the shaded portion
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