Mathematics (311) For Senior Secondary XIIth(12th)

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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