# Category Problem Solving

Who doesn’t like a fast loading website/blog under his name? But to attain a beautiful yet fast loading webpage is one of the toughest tasks of web development. It costs great effort and money. You buy overpriced web-hosting plans hoping to get a speedy website, but still you feel something is wrong. Your website doesn’t load as fast as it was expected. Slow…

## #ThankYou2014

2014 was an amazing year for me. Things didn’t went that wrong, like they did in 2013 and year before that. Both my online and offline lives went smooth. This post is a summary of things I did/learned in 2014. It has primarily a personal approach and doesn’t intend to force any show-off to readers. 2013 : Learning with troubles 2013 had…

## How to convert Integral Equations into Differential Equations?

Introduction In earlier parts we discussed the basics of integral equations and how they can be derived from ordinary differential equations. In second part, we also solved a linear integral equation using trial method. Now we are in a situation from where main job of solving Integral Equations can be started. But before we go ahead to that mission, it will be better…

## How to change Differential Equations into Integral Equations?

This post explains the basic method of converting an integral equation into a corresponding differential equation.

## Definitions & Types of Integral Equations

If you have finished your course in Calculus and Differential Equations, you should head to your next milestone: the Integral Equations. This marathon series (planned to be of 6 or 8 parts) is dedicated to interactive learning of integral equations for the beginners —starting with just definitions and demos —and the pros— taking it to the heights of problem solving.…

## Examination Strategies : Tactics & Tips

Every student or graduate knows how hard the first experience of passing exams is. Preliminary preparation starves the nervous system and the physical condition of the human body, however, the exam itself is always a stressful situation, which requires a candidate a great manifestation of mental and physical abilities. Therefore, just the knowledge of a subject is not enough for…

## Analysis of Meteorological Data of Pantnagar Weather Station

About This post is actually a summary of a research project I took under INSPIRE-SHE Scholarship Program by Dept. of Science and Technology, Govt. of India. My plan was to make the content open-source on the web that faults could be corrected by time. The language is simple and very easy to understand and the ease of understanding is focused on…

## Interesting Articles & Must Read Papers in Math

An old yet beautiful untabled listing of highly interactive mathematics related articles and papers available online.

## Equations- A Basic Introduction

Applied mathematics is one which is used in day-to-day life, in solving troubles (problems) or in business purposes. Let me write an example: George had some money. He gave 14 Dollars to Matthew. Now he has 27 dollars. How much money had he? If you are familiar with day-to-day calculations – you must say that George had 41 dollars, and…

## The Cattle Problem

This is a famous problem of intermediate analysis, also known as ‘Archimedes’ Cattle Problem Puzzle’, sent by Archimedes to Eratosthenes as a challenge to Alexandrian scholars. In it one is required to find the number of bulls and cows of each of four colors, the eight unknown quantities being connected by nine conditions. These conditions ultimately form a Pell equation…

## Fox-Rabbit Chase Problem [Solution & Math Proof]

Part I: A fox chases a rabbit. Both run at the same speed $v$ . At all times, the fox runs directly toward the instantaneous position of the rabbit , and the rabbit runs at an angle $\alpha$ relative to the direction directly away from the fox. The initial separation between the fox and the rabbit is…

## Essential Steps of Problem Solving in Mathematical Sciences

Problem solving is more than just finding answers. Learning how to solve problems in mathematics is simply to know what to look for. Mathematics problems often require established procedures. To become a problem solver, one must know What, When and How to apply them. To identify procedures, you have to be familiar with the different problem situations. You must also…