Mathematics Class 12

Book excerpt: 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)