Algebra for CA Foundation, CS Foundation, CMA Foundation, CBSE, ICSE, Class 11-12 (Commerce) courses and Competitive Exams.
Direct Variation, Inverse Variation, Joint Variation
Index, Base, Properties of Indices
Logarithm, Laws of Logarithm, Base, Chang of Base, Common Logarithm, Antilogarithm, Characteristics and Mantissa, Logarithmic Table, Antilogarithm Table.
Permutation & Combination
Principle of Counting, Permutation, Factorial, Circular Permutation, Combination, Restrictive Permutation, Restrictive Combination.
Sequence, Series, Arithmetic Progression, Arithmetic Mean, Geometric Progression, Geometric Mean
Roots of Equation, Linear Equation, Quadratic Equation, Cubic Equation
Linear Inequalities, Algebraic Solution of Linear Equation, Graphical Solution of Linear Equation
Binomial Theorem for Positive Integral Indices, Pascal’s Triangle, General and Middle Terms
Matrix, Row Matrix, Column Matrix, Square Matrix, Diagonal Matrix, Scalar Matrix, Lower Triangular Matrix, Operations on Matrix, Equality of Matrices, Scalar multiplication of Matrix, Transpose of Matrix, Symmetric Matrix, Skew Symmetric Matrix
Determinant, Determinant of Order 2, Determinant of Order 3, Properties of Determinants, Minors and Cofactors, Adjoint and Inverse of a Matrix, Applications of Determinants and Matrices
Complex Numbers, Algebra of Complex Numbers, Modulus and the Conjugate, Argand Plane, Polar Representation, Quadratic Equations
Mathematical Formulation of Linear Programming Problems, Graphical solution of linear programming problems, Different Types of Linear Programming Problems