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2. 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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