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 Integrals 21. 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)