Description Principle of Mathematical Induction, Fundamental Principle of counting. Linear Inequalities: Algebraic and Graphical Solution of Linear Inequalities in one and two variables. Complex Numbers: Definition of a complex number, addition, subtraction, multiplication and conjugate of complex numbers. Representation of a complex number in a plane (Cartesian as well as polar coordinate plane), Modulus and Argument of a complex number. Polynomials: Definition, Addition of polynomials, Product of polynomials, Euclid’s algorithm, Remainder Theorem, Factor Theorem, Horner’s Method of Synthetic Division (all theorems Without Proof) Matrices: Definition, Types of Matrices, Equality of Matrices, Addition and Subtraction of Matrices, Scalar Multiplication, Multiplication of Matrices, Transpose of a Matrix, Symmetric and Skew-Symmetric Matrix. Determinants: Determinant of Square Matrices of Order 1, 2 and 3. Application of determinants like area of a triangle, condition for collinearity of three points etc.
