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 |
Feedback Form