Unit I : Sets and Functions 1.Sets, 2. Relations and Functions, 3 .Trigonometric Functions, Unit II : Algebra 4.Principle of Mathematical Induction, 5. Complex Numbers and Quadratic Equations, 6 .Linear Inequalities, 7. Permutations and Combinations, 8 .Binomial Theorem, 9.Sequences and Series, Unit III : Co-ordinate Geometry 10.Straight Lines, 11. Conic Sections, 12. Introduction to Three-Dimensional Geometry, Unit IV : Calculus 13.Limits and Derivatives, Unit V : Mathematical Reasoning 14.Mathematical Reasoning, Unit VI : Statistics & Probability 15.Statistics, 16.Probability, Value Based Questions (VBQ) Board Examination Papers.

Volume - I Mathematical Tools Unit-I Physical World and Measurement 1.Physical World, 2 .Systems of Units and Measurements, 3 .Significant Figures and Error Analysis, 4. Dimensional Analysis, Unit-II Kinematics 5.Motion in a Straight Line, 6. Vector Analysis, 7. Motion in a Plane, Unit-III Laws of Motion 8.Newton's Laws of Motion, 9.Friction, 10. Uniform Circular Motion, Unit - IV Work, Energy and Power 11.Work, Energy and Power, Unit - V Motion of Rigid Body and System of Particles 12.Centre of Mass, 13.Rotational Motion and Moment of Inertia Unit - VI Gravitation 14. Gravitation, Log-Antilog Table Value Based Questions (VBQ) Sample Paper Examination Paper. Volume - II Unit - VII Properties of Bulk Matter 15.Elasticity, 16. Pressure of Fluids, 17.Viscosity, 18.Surface Tension, 19.Temperature and Calorimetry, 20.Transfer of Heat, Unit - VIII Thermodynamics 21.First Law of Thermodynamics, 22.Second Law of Thermodynamics, Unit - IX Behaviour of Perfect Gases and Kinetic Theory of Gases 23.Behaviour of Perfect Gas and Kinetic Theory, Unit - X Oscillations and Waves 24.Oscillations, 25 .Speed of Mechanical Waves, Progressive Waves, 26.Superposition of Waves : Interference and Beats, 27 .Reflection of Waves : Stationary Waves in Stretched Strings and Organ Pipes, 28. Doppler's Effect, Log-Antilog Table Value Based Questions (VBQ) Sample Paper Examination Paper.

Mathematics Model Papers (Solved)

Paper-I Statistics for Economics UNIT - I 1.What is Economics ?, 2 .Statistics : Meaning, Scope and Importance , UNIT - II Collection, Organisation and Presentation of Data 3 .Collection of Data—Primary and Secondary Data, 4. Methods of Data Collection : Census and Sampling Methods, 5 .Some Important Sources of Secondary Data—Census and N.S.S.O., 6. Organisation of Data—Classification, 7 .Presentation of Data—Tables, 8. Diagrammatic Presentation of Data , 9 Graphic (Time Series and Frequency Distribution) Presentation of Data , UNIT - III Statistical Tools and Interpretation 10. Measures of Central Tendency—Airthmetic Average, 11. Measures of Central Tendency—Median and Mode , 12 .Measures of Dispersion, 13 .Correlation, 14. Index Number , 15. Some Mathematical Tools Used in Economics : Slope of A Line, Slope of a Curve and Equation of Line, UNIT - IV Developing Projjects in Economics 16.Formation of Project in Economics, Paper-II Indian Economic Development UNIT - V Development Experience (1947-90) and Economic Regorms sice 1991 1.State of Indian Economy on the Eve of Independence , 2 .Common Goals of Five Year Plans in India, 3. Agriculture—Features, Problems and Policies, 4. Industries—Features, Problems and Policies (Industrial Licensing etc.), 5 .Foreign Trade of India—Features, Problems and Policies, UNIT - VI Economic Reforms Since 1991 6 .Economics Reforms in India—Liberalisation, Privatisation and Globalisation (L.P.G.) Policies, UNIT - VII Current Challenges Facing Indian Economy 7. Poverty and Main Programmes of Poverty Alleviation, 8. Rural Development : Key Issues, 9. Human Capital Formations , 10. Employment : Growth, Informalisation and other Issues , 11. Inflation : Problems and Policies, 12. Infrastructure : Meaning and Type (Case Studies : Energy and Health), 13. Sustainable Economic Development and Environment, UNIT - VIII Development Experience of India 14 .Development Experience of India : A Comparison with Pakistan and China, Log and Antilog Table Latest Model Paper (BSEB) Examination Paper (Jac)

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UNIT-I: RELATIONS AND FUNCTIONS 1. Relations, 2. Functions, 3. Inverse Trigonometric Functions UNIT-II: ALGEBRA 4. Matrices 5. Determinants 6. Adjoin and Inverse of a Matrix 7. Solution of a System of Linear Equations UNIT-III: CALCULUS 8. Continuity 9. Differentiability 10. Differentiation, 11. Second Order Derivative, 12. Rolle’s Theorem and Lagrange’s Mean Value Theorem, 13. Applications of Derivatives, 14. Increasing and Decreasing Functions, 15. Tangent and Normal 16. Approximation 17. Maxima and Minima 18. Indefinite Integrals 19. Definite Integrals 20. Applications of Integrals21. Differential Equations 22. Applications of Differential Equations UNIT-IV: VECTORS AND THREE-DIMENSIONAL GEOMETRY 23. Vectors 24. Scalar or Dot Product of Two Vectors 25. Vector or Cross Product of Two Vectors 26. Angle between Two Lines 27. Straight Line 28. The Plane UNIT-V: LINEAR PROGRAMMING 29. Linear Programming UNIT-VI: PROBABILITY 30. Multiplication Theorem of Probability 31. Theorem of Total Probability and Bayes’ Theorem 32. Random Variable and Probability Distribution 33. Bernoulli Trials and Binomials Distribution Board Examination Papers (i)

Strictly according to the latest syllabus prescribed by Central Board of Secondary Education (CBSE), Delhi, NCERT, State Boards of Bihar, Jharkhand, Haryana, H.P. Uttarakhand, M.P., Chhattisgarh etc. & Navodaya, Kendriya Vidyalayas following CBSE curriculum based on NCERT guidelines. Volume - I UNIT- I RELATIONS AND FUNCTIONS 1.Relations, 2 .Functions, 3. Inverse Trigonometric Functions, UNIT-II : ALGEBRA 4.Matrices, 5. Determinants, 6 .Adjoint and Inverse of a Matrix, 7. Solution of a System of Linear Equations, UNIT-III : CALCULUS 8.Continuity, 9. Differentiability, 10. Differentiation, 11.Second Order Derivative, 12. Rolle’s Theorem and Lagrange’s Mean Value Theorem, 13. Applications of Derivatives, 14. Increasing and Decreasing Functions, 15.Tangent and Normal, 16. Approximation, 17. Maxima and Minima Board Examination Papers. Volume - II 1.Indefinite Integrals, 2. Definite Integrals, 3 .Applications of Integrals, 4. Differential Equations, 5. Applications of Differential Equations, 6 .Vectors, 7. Scalar or Dot Product of Two Vectors, 8 .Vector or Cross Product of Two Vectors, 9 .Angle between Two Lines, 10.Straight Line, 11. The Plane, 12 .Linear Programming, 13. Multiplication Theorem of Probability, 14. Theorem of Total Probability and Bayes’ Theorem, 15. Random Variable and Probability Distribution, 16. Bernoulli Trials and Binomials Distribution, Board Examination Papers.