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Syllabus Mathematics Senior Secondary NIOS

 

Math (311) Syllabus

 

 

Course Structure of  Mathematics

 

MODULE WISE DISTRIBUTION OF STUDY HOURS AND MARK

 

Module

Compulsory Modules

Minimum 

Marks

No.

 

Study Hours

 

1.

Complex Numbers & Quadratic Equations

15

10

2.

Determinants & Matrices

15

10

3.

Permutations & Combinations

20

08

4.

Sequences & Series

20

08

5.

Trigonometry

30

10

6.

Coordinate Geometry

30

10

7.

Differential Calculus

45

17

8.

Integral Calculus

45

17


 

Optional Modules

   
 

(The learner have to choose any one module)

   

9.

Statistics & Probability

   
 

OR

   

10.

Vectors & Analytical Solid Geometry

20 each

10 each

 

OR

   

11.

Linear Programming

   
 

TOTAL

240

100

CONTENTS

Lesson No

Title

Page No

     

MODULE- I

ALGEBRA

1 - 306

1

Complex Numbers

1

2

Quadratic Equations

39

3

Matrices

59

4

Determinants and their Applications

101

5

Inverse of a Matrix and its Application

147

6

Linear Inequations and their Applications

189

7

Permutations and Combinations

237

8

Binomial Theorem

265

 

Practice work-Algebr

305

MODULE -II

COORDINATE GEOMETRY

307-404

9

Cartesian System of Coordinates

307

10

Straight Lines

339

11

Circles

379

12

Conic Sections

391

 

Practice work-Coordinate Geometry

403

MODULE -III

SEQUENCES AND SERIES

405-454

13

Arithmetic and Geometric Progressions

405

14

Special Types of Series

441

 

Practice work-Sequences and Series

453

 

Curriculum

455-466

CONTENTS

Lesson No.

Title

 

Page No

       

MODULE- IV

FUNCTIONS

 

1 - 174

15

Sets, Relations and Functions

 

1

16

Trigonometric Functions-I

 

61

17

Trigonometric Functions-II

 

99

18

Inverse Trigonometric Functions

 

141

19

Relations between Sides and Angles of a Triangle

 

159

 

Questions For Practice-Functions

 

173

MODULE -V

CALCULUS

175 - 488

20

Limit and Continuity

 

175

21

Differentiation

 

221

22

Differentiation of Trigonometric Functions

 

251

23

Differentiation of Exponential and Logarithmic Functions

277

24

Tangents and Normals

 

299

25

Maxima and Minima

 

315

26

Integration

 

349

27

Definite Integrals

 

413

28

Differential Equations

 

449

 

Questions For Practice-Calculus

 

487

MODULE -VI

STATISTICS

489 - 568

29

Measures of Dispersion

 

489

30

Random Experiments and Events

 

515

31

Probability

 

525

 

Questions For Practice-Statistics

 

567

 

Feedback Form

 

569


CONTENTS

OPTIONAL MODULES

(You have choose any one of the following modules)

 

Title

Page No.

     

OPTIONAL-I

VECTORS AND THREE DIMENSIONAL GEOMETRY

1-105

OPTIONAL-II

MATHEMATICS FOR COMMERCE, ECONOMICS AND BUSINESS

107-256


OPTIONAL-I

VECTORS AND THREE DIMENSIONAL GEOMETRY

Lesson No.

Title

Page No.

       

32

Vectors

1

33

Introduction to Three Dimensional Geometry

25

34

The Plane

47

35

The Straight Line

71

36

The Sphere

87

 

Questions For Practice-Vectors and Three Dimensional Geometry

104


CONTENTS

OPTIONAL-II

MATHEMATICS FOR COMMERCE, ECONOMICS AND BUSINESS

 

Lesson No.

Title

Page No.

     

37

Shares and Debentures

113

38

Index Numbers

127

39

Insurance

139

40

Indirect Taxes

181

41

Application of Calculus in Commerce and Economics

212

 

Questions For Practice-Mathematics for Commerce

 
 

      Economics and Business

235

 

Sample Question Paper

239

 

Marking Scheme

243

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