**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

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