## Friday, November 7, 2008

### IIT JEE Mathematics Study Plan 21. Continuity and Differentiability - Revision Facilitator

Sections in the Chapter

21.1 Introduction
21.2 Continuity at a point
21.3 Continuity functions in an interval
21.4 Continuous functions
21.5 Cauchy’s definition of continuity
21.6 Heine’s definition of continuity
21.7 Discontinuous functions
21.8 Properties of continuous functions
21.9 Differentiability at a point
21.10 Relation between continuity and differentiability
21.11 Differentiability in a set
21.12 Some results on differentiability

Study Plan

Day 1

21.1 Introduction

21.2 Continuity at a point

21.3 Continuity functions in an interval

21.4 Continuous functions

21.5 Cauchy’s definition of continuity

Day 2

21.6 Heine’s definition of continuity
21.7 Discontinuous functions
21.8 Properties of continuous functions

Day 3
21.9 Differentiability at a point
21.10 Relation between continuity and differentiability
21.11 Differentiability in a set
21.12 Some results on differentiability

Day 4
Objective Type Exercises: 1 to 20

Day 5
O.T.E.: 21 to 40

Day 6
O.T.E.: 41 to 60

Day 7
O.T.E.: 61 to 80

Day 8
O.T.E.: 81 to 100

Day 9
O.T.E.: 101 to 127

Day 10
Fill in the blank Exercises 1 to 21

Day 11
True/False Type Exercises 1 to 11

Day 12
Practice Exercises 1 to 7

Day 13
Practice Exercises 8 to 14

21.1 Introduction

21.2 Continuity at a point

21.3 Continuity functions in an interval

21.4 Continuous functions

21.5 Cauchy’s definition of continuity
21.6 Heine’s definition of continuity
21.7 Discontinuous functions
21.8 Properties of continuous functions
21.9 Differentiability at a point
21.10 Relation between continuity and differentiability
21.11 Differentiability in a set
21.12 Some results on differentiability