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-Algebra

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

 

Feedback Form

 

 

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