Comprehensive Guide to Class 12 Mathematics for ICSE/CBSE

Class 12 ICSE / CBSE Syllabus (R D Sharma Solutions… and more)

Section – A

Relations and Functions

1. Relations : Lecture Notes – / Exercise 1.1 / Exercise 1.2 / Board Problems  / Miscellaneous Problems / Test Problems 
2. Functions : Lecture Notes – Exercise 2.1 / Exercise 2.2 / Exercise 2.3 / Exercise 2.4 / Board Problems / Miscellaneous Problems / Test Problems
3. Binary Operations : Lecture Notes – Exercise 3.1 / Exercise 3.2 / Exercise 3.3 / Exercise 3.4 / Exercise 3.5 / Board Problems
4. Inverse Trigonometric Functions: Lecture Notes – Exercise 4.1 / Exercise 4.2 / Exercise 4.3/ Exercise 4.4/ Exercise 4.5/ Exercise 4.6/ Exercise 4.7/ Exercise 4.8/ Exercise 4.9/ Exercise 4.10/ Exercise 4.11/ Exercise 4.12/ Exercise 4.13/ Exercise 4.14 / Board Problems / Miscellaneous Problems / Test Problems
5. Increasing and Decreasing Functions: Lecture Notes / Exercise 17.1 / Exercise 17.2 / Board Problems / Miscellaneous Problems / Test Problems

Algebra

1. Solution of Simultaneous Linear Equations: Lecture Notes – Exercise 8.1 / Exercise 8.2/ Board Problems
2. Algebra of Matrices: Lecture Notes – Exercise 5.1 / Exercise 5.2 / Exercise 5.3 / Exercise 5.4 / Exercise 5.5/ Board Problems / Miscellaneous Problems / Test Problems 
3. Determinants: Lecture Notes / Exercise 6.1 /Exercise 6.2 / Exercise 6.3 /Exercise 6.4 /Exercise 6.5/ Board Problems / Miscellaneous Problems / Test Problems
4. Adjoint and Inverse of a Matrix: Lecture Notes / Exercise 7.1/ Exercise 7.2/ Board Problems
5. Maxima and Minima: Lecture Notes / Exercise 18.1 / Exercise 18.2 / Exercise 18.3 / Exercise 18.4 / Exercise 18.5 / Board Problems / Miscellaneous Problems / Test Problems
6. Areas of Bounded Regions: Lecture Notes / Exercise 21.1 / Exercise 21.2 / Exercise 21.3 / Exercise 21.4/ Board Problems

Calculus

1. Continuity: Lecture Notes / Exercise 9.1 / Exercise 9.2/ Board Problems / Miscellaneous Problems / Test Problems
2. Differentiability: Lecture Notes / Exercise 10.1 / Exercise 10.2/ Board Problems / Miscellaneous Problems / Test Problems
3. Differentiation: Lecture Notes / Exercise 11.1 / Exercise 11.2 / Exercise 11.3 / Exercise 11.4 / Exercise 11.5 / Exercise 11.6 / Exercise 11.7 / Exercise 11.8 / Board Problems
4. Higher Order Derivatives: Lecture Notes / Exercise 12.1 / Board Problems
5. Derivative as a Rate Measurer: Lecture Notes / Exercise 13.1 / Exercise 13.2/ Board Problems
6. Differentials, Errors and Approximations: Lecture Notes / Exercise 14.1 / Board Problems
7. Indefinite Integrals: Lecture Notes / Exercise 19.1 / Exercise 19.2 / Exercise 19.3 / Exercise 19.4 / Exercise 19.5 / Exercise 19.6 / Exercise 19.7 / Exercise 19.8 / Exercise 19.9 / Exercise 19.10 / Exercise 19.11 / Exercise 19.12 / Exercise 19.13 / Exercise 19.14 / Exercise 19.15 / Exercise 19.16 / Exercise 19.17 / Exercise 19.18 / Exercise 19.19 / Exercise 19.20 / Exercise 19.21 / Exercise 19.22 / Exercise 19.23 / Exercise 19.24 / Exercise 19.25 / Exercise 19.26 / Exercise 19.27 / Exercise 19.28 / Exercise 19.29 / Exercise 19.30 / Exercise 19.31 / Exercise 19.32 / Board Problems / Miscellaneous Problems / Test Problems
8. Definite Integrals: Lecture Notes / Exercise 20.1 / Exercise 20.2 / Exercise 20.3 / Exercise 20.4 / Exercise 20.5 / Exercise 20.6 / Board Problems / Miscellaneous Problems / Test Problems
9. Differential Equations: Lecture Notes / Exercise 22.1 / Exercise 22.2 / Exercise 22.3 / Exercise 22.4 / Exercise 22.5 / Exercise 22.6 / Exercise 22.7 / Exercise 22.8 / Exercise 22.9 / Exercise 22.10 / Exercise 22.11 / Board Problems / Miscellaneous Problems / Test Problems
10. Application of Integrals: Miscellaneous Problems
11. Application of Calculus: Miscellaneous Problems

Statistics  & Probability

1. Probability: Lecture Notes / Exercise 31.1 / Exercise 31.2 / Exercise 31.3 / Exercise 31.4 / Exercise 31.5 / Exercise 31.6 / Exercise 31.7 / Board Problems / Miscellaneous Problems / Test Problems
2. Mean and variance of a random variable: Lecture Notes / Exercise 32.1 /Exercise 32.2 / Board Problems
3. Binomial Distribution: Lecture Notes / Exercise 33.1 / Exercise 33.2 /Board Problems
4. Mean Value Theorems: Lecture Notes / Exercise 15.1 / Exercise 15.2 /Board Problems

Section – B

Vectors

1. Algebra of Vectors: Lecture Notes / Exercise 23.1 / Exercise 23.2 / Exercise 23.3 / Exercise 23.4 / Exercise 23.5 / Exercise 23.6 / Exercise 23.7 / Exercise 23.8 / Exercise 23.9 / Board Problems / Miscellaneous Problems / Test Problems
2. Scalar Or Dot Product: Lecture Notes / Exercise 26.1 / Exercise 26.2 / Board Problems / Miscellaneous Problems
3. Vector or Cross Product:  Lecture Notes / Exercise 25.1 / Board Problems / Miscellaneous Problems
4. Scalar Triple Product: Lecture Notes / Exercise 26.1 / Board Problems

Coordinate Geometry

1. Direction Cosines and Direction Ratios: Lecture Notes / Exercise 27.1 / Board Problems / Miscellaneous Problems
2. Straight Line in Space: Lecture Notes / Exercise 28.1 / Exercise 28.2 / Exercise 28.3 / Exercise 28.4 / Exercise 28.5 / Board Problems / Miscellaneous Problems 
3. The Plane: Lecture Notes / Exercise 29.1 / Exercise 29.2 / Exercise 29.3 / Exercise 29.4 / Exercise 29.5 / Exercise 29.6 / Exercise 29.7 / Exercise 29.8 / Exercise 29.9 / Exercise 29.10 / Exercise 29.11 / Exercise 29.12 / Exercise 29.13 / Exercise 29.14 / Exercise 29.15 / Board Problems / Miscellaneous Problems / Test Problems
4. Tangents and Normals: Lecture Notes / Exercise 16.1 / Exercise 16.2 / Exercise 16.3 / Board Problems / Test Problems

Section – C

1. Linear Regression: Miscellaneous Problems
2. Linear Programming: Lecture Notes / Exercise 30.1 / Exercise 30.2 / Exercise 30.3 / Exercise 30.4 / Exercise 30.5 / Board Problems / Miscellaneous Problems