Algebra

This chapter covers topics, such as Types of Sets, Complement of a Set, Subsets, Practical Problems on Union and Intersection of Two Sets, Difference of Sets, Venn Diagrams, Sets and Their Representations, and Operations on Sets.

This chapter covers topics, such as Types of Functions, Invertible Functions, Basics of Functions, Cartesian Products of Sets, Basics of Relations, Composition of Functions, Algebra of Real Functions, Domain and Range of Functions, etc.

This chapter covers the topic of The Principle of Mathematical Induction.

This chapter covers topics, such as De Moivre's Theorem, Argand Plane and Polar Representation, The Modulus and the Conjugate of a Complex Number, Roots of Unity, Complex Numbers, Algebra of Complex Numbers, and Quadratic Equations.

This chapter covers topics, such as Solutions of Linear Inequalities in One Variable, Types of Inequalities, and Solutions of Linear Inequalities in Two Variables.

This chapter covers topics, such as Permutations when All the Objects are Not Distinct Objects, Permutations, Combinations, Factorial Notation, Fundamental Principle of Counting, and Permutations when All the Objects are Distinct.

This chapter covers topics, such as Multinomial Theorem, Binomial Theorem for Positive Integral Indices, and General and Middle Terms.

This chapter covers topics, such as Sum to n Terms of Special Series, Arithmetic Progression, Arithmetic Mean, Introduction to Sequences and Series, Relationship Between Arithmetic Mean and Geometric Mean, Geometric Progression, etc.

This chapter covers topics, such as Statements, Validating Statements, Logical Connectives and Quantifiers, Implications, and New Statements from Old.

This chapter covers topics, such as Basics of Matrices, Types of Matrices, Operation on Matrices, Symmetric and Skew-symmetric Matrices, Elementary Operation (Transformation) of a Matrix, and Inverse Matrix.

This chapter covers topics, such as Applications of Determinants and Matrices, Adjoint and Inverse of a Matrix, Minor and Cofactors, Area of a Triangle, Properties of Determinants, and Determinants.

This chapter covers topics, such as Different Types of Linear Programming Problems and Mathematical Formulation of a Linear Programming Problem.