Numerical Computation Class 11 Mathematics Solutions | Exercise - 19.1

  Chapter - 19  
Numerical Computation

We all have to study Numerical Computation in class 11 mathematics. It is a compulsory chapter so you can't skip this chapter. Since this chapter is a confusing type of chapter. I personally also don't understand this chapter fully.

Students were facing problem while solveing the question guven in exercise. So some of you were demanding the notes of class 11 Numerical Computation chapter. We were continuously getting text through our social media handles. So, I'm here to fulfill your wish. Today I'll be giving you the complete note of class 11 Numerical Computation chapter. For further information keep on reading this article. 

Exercise - 19.1

 Exercise - 19.2 

Introduction 

Matching of one set of objects with another (pebbles with sheep by early man) gave rise to what is known as counting the earliest form of computing. Computing usually involves number; i.e., computing is mostly numeric or numeral. But modern computer performs non- numeric computation also.

Computing may be done mentally, manually, mechanically, analytically and electronically. In the early days, computation was done with the help of sets of objects. In Vedic times, computations or calculations were done mentally. Computation in ancient Egypt, China and Babylonia were carried out using various kinds of hieroglyphs and other number symbols. 

Characteristics of Numerical Computing

Computation, in the early days, most probably began with some kind of measurement. Most measurements are quantified numerically or expressed in terms of some number (called value). In some cases, such a value becomes exact or accurate. Estimates are made when exact values could not be found. 

Errors do appear when estimates are made. In many occasions, we are required to arrive at the exact value or an estimated or desired value as rapidly as possible or expected value. Unfortunately, certain computation goes wild (become unacceptable or unstable) after a certain stage or before we arrive at a desired or expected value or limit.

Most numerical computations depend upon the method of computation which we apply. A computational method deals commonly with procedures for solving problems with a computing device or computer. Any such method is judged on the basis of the following characteristics:

• Accuracy
• Rate of convergence
• Numerical stability, and
• Efficiency