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1. Sets, 2. Relations and Functions, 3. Trigonometric Functions, 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, 10. Straight Lines, 11. Conic Sections, 12. Introduction to Three-Dimensional Geometry, 13. Limits and Derivatives, 14. Mathematical Reasoning, 15. Statistics, 16. Probability.
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.
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,
1. Relations, 2. Functions, 3. Inverse Trigometric Functions, 4. Matrices, 5. Determinants, 6. Adjoint and inverse of a Matrix, 7. solution of a System of Linear Equations, 8. Continunity, 9. Differentiability,10. Differentiation,11. Second Order Derivative, 12. Rolle's Theorem and Languages Mean Value Theorem,13. Applications of Derivatives, 14. Increasing and Decreasing Functions,15. Tangent and Normal, 16. Approximation, 17. Maxima And Minima, 18. Indefinite Intergrals, 19. Definite Integrals, 20. Applications of Integrals, 21. Differential Equations, 22. Applications of Differential Equations, 23 .Vectors, 24. Scalar or Dot Product of Two Vectors, 25. Vector or Cross Cross Product of two Vectors, 26. Nagle Between Two Lines, 27. Straight Line, 28. The Plane, 29. Linear Programming, 30. Multiplications Theorem of Probability, 31. Theorem of Tota; Probability and bayes Theorem, 32. Random Bariable and Probability Distribution, 33. Bernoulli Trails and Binomials Distribution.
1.Sets, 2 .Relations and Functions, 3 .Trigonometric Functions, 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, 10. Straight Lines, 11. Conic Sections, 12. Introduction to Three-Dimensional Geometry, 13. Limits and Derivatives , 14. Mathematical Reasoning , 15. Statistics , 16. Probability.
Unit : I 1. Relations, 2. Functions, 3. Inverse Trigonometric Functions, Unit : II 1. Matrices, 2. Determinants, 3. Adjoint and Inverse of a Matrix, 4. Solution of a System of Liner Equations, Unit : III 1. Continuity, 2. Differentiability, 3. Diffentiation, 4. Second Order Derivative, 5. Rolle’s Theorem and lagrange’s Mean Value Theorem, 6. Applications of Derivatives, 7. Increasing and Decreasing Functions, 8. Tangent and Normal, 9. Approximation, 10. Maxima and Minima, Board Examination Papers.
1.Sets, 2 .Relations and Functions, 3 .Trigonometric Functions, 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, 10. Straight Lines, 11. Conic Sections, 12. Introduction to Three-Dimensional Geometry, 13. Limits and Derivatives , 14. Mathematical Reasoning , 15. Statistics , 16. Probability.
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)
Unit I : Sets and Functions 1.Sets, 2. Relations and Functions,3. Trigonometric Functions, Unit II : Algebra 4.Principles 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 and Probability 15.Statistics,16. Probability, Appendix : Value Based Questions(VBQ) Chapterwise Objective Type Questions
1. Real Number : Euclid’s division lemma, Fundamental Theorem of Arithmetic-statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals. Unit II : Algebra 1. Polynomials : Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients. 2. Pair of Linear Equations in Two Variables: Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic condit...