# Algebra

ALGEBRA

Algebra for CA Foundation, CS Foundation, CMA Foundation, CBSE, ICSE, Class 11-12 (Commerce) courses and Competitive Exams.

Mathematical Variations

Direct Variation, Inverse Variation, Joint Variation

Indices

Index, Base, Properties of Indices

Logarithm
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

Sequence, Series, Arithmetic Progression, Arithmetic Mean, Geometric Progression, Geometric Mean

Equation

Roots of Equation, Linear Equation, Quadratic Equation, Cubic Equation

Inequalities

Linear Inequalities, Algebraic Solution of Linear Equation, Graphical Solution of Linear Equation

Binomial Theorem

Binomial Theorem for Positive Integral Indices, Pascal’s Triangle, General and Middle Terms

Matrix

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, 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

Complex Numbers, Algebra of Complex Numbers, Modulus and the Conjugate, Argand Plane, Polar Representation, Quadratic Equations

Linear Programming

Mathematical Formulation of Linear Programming Problems, Graphical solution of linear programming problems, Different Types of Linear Programming Problems