(By Jamshed Bharucha; Vice Chancellor, SRM Amravati University)

Mathematics demystified

August 16, 2019 – 5:20 am

(By Jamshed Bharucha; Vice Chancellor, SRM Amravati University)

August 13, 2019 – 7:23 am

August 10, 2019 – 10:14 pm

- MPEG 4, audio/video/speech recognition/speaker identification/face recognition/HDTV and mp3 —- all these use logarithms and trigonometry. The special jargon is — Fourier Series, and Fourier Transforms.
- In finance, compound interest is calculated by using a power function; the inverse problem of finding the duration of deposit is calculated using logarithms.
- All (digital) phones are touch phones and they use DTMF (Dual Tone Multi Frequency) standard — implemented using sines and cosines.
- Quadratic equations are used to design/model/develop certain kind of electronic amplifiers.
- Probability theory is used in computer networks, routing of telephone calls, and also in Wall Street — stock market !!
- There are ways to compute the numerical value of the irrational number up to a million digits and these ways are used to test the efficiency and efficacy of supercomputers.
- Quadratic equations are used to study projectile motion (or to put it playfully, suppose we throw a pebble at a certain angle from horizontal ground, (angle less than 90 degrees (which would mean vertically up)) — the projectile is subject only to the force of gravity of the earth — the path or curve or trajectory of the projectile is a parabole, which is characterized by a quadratic equation. This can be easily proved using laws of straight line motion in two dimensional using resolution of vectors.

More later,

Nalin Pithwa.

August 3, 2019 – 11:30 pm

Expertise in dealing with algebraic fractions is necessary especially for integral calculus, which is of course, a hardcore area of IITJEE mains or advanced maths.

Below is a problem set dealing with fractions; the motivation is to develop super-speed and super-fine accuracy:

A) Find the value of the following: (the answer should be in as simple terms as possible, which means, complete factorization will be required):

1)

2)

3)

4) 1

5)

6)

7)

8)

9)

More later,

Nalin Pithwa