Continuity
Chapter Name : Continuity And Differentiability |
Sub Topic Code : 104_12_05_02_02 |
Topic Name : Continuity |
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Sub Topic Name : Algebra Of Continuous Functions |
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Introduction
Algebra of Continuous Functions.
Pre-Requisites:
Knowledge about functions, limits and to check continuity of a function.
Activity:
Plot the graphs and check continuity
Real Life Question:
Is the sum to two continuous functions continuous?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Continuous Function | The function which are defined and whose limit exists on point of continuity. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Take two continuous functions | Add or subtract them and check continuity. |
Real life uses :
Necessary tool in solving calculus problems.
Places to visit :
Math Lab.
Practical examples around us
| Examples | Explainations |
|---|---|
| Two polynomial functions | Adding two polynomial functions gives another continuous polynomial function. |
What you learn in Theory:
Continuity after algebraic operations on functions.
What you learn in Practice:
Nature of functions after the algebraic operations.