- Invertible functions.- Types of relations.- Composition of two functions.- Equivalence relation.- Problems on domain and ranges.
Determinants
- Adjoint and inverse of matrix.- Problems on system of linear equation.- Determinant properties.
Inverse Trigonometry
- Properties of inverse.- Trigonometry.- Domain and ranges of functions.
Integrals
- Method of substitution.- Partial fractions.- Properties of definite integrals.- Definite integrals as limit of sum.- Integration parts.
Matrices is the easy chapter one can score more marks.- Symmetric, skew symmetric matrices.- Inverse matrix.- Matrix multiplications and its properties.
Probability
- Bayes theorem.- Multiplication theorem.- Random variable, its probability distribution.- Binomial distribution.- Mean and variance of random variable.
Vector algebra and differential equations
- Scalar product.- Projection of vector of line.- Vector Products.
Application of derivatives
- Application of maxima and minima.- Tangents and normal of curve.- Rate of change of quantities.- Increase, decrease of functions.
Continuity and Differentiability
- 2nd order derivatives.- Logarithmic differentiations.- Functions in parametric form.- Function continuity.- Graphs of various functions.- Theorems like mean value, role's Theorem.