Embibe Big Book for Mathematics for BCA Entrance

Mathematics

Mathematical Induction

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

This topic covers concepts, such as Principles of Mathematical Induction, First Principle of Mathematical Induction, Double Mathematical Induction, Equivalence with the Well-ordering Principle, Spiral Mathematical Induction, etc.

First Principle of Mathematical Induction

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Definition of Axiom, Conjecture and Theorem

Mathematical Induction: Illustration

Principle of Mathematical Induction Illustration

Mathematical Induction - Example

Introduction to Mathematical Induction

This chapter covers topics, such as Permutation, Fundamental Principles of Counting, Combination, Division and Distribution of Objects, Circular Permutation, and Inclusion-Exclusion Principle.

Permutation and Combination

This chapter covers topics, such as Solution of Linear Programming Problems, and Terminology and Formulation of Linear Programming Problems.

Linear Programming

This chapter covers topics, such as Algebra of Sets, Types of Sets, Subsets and Power Set, Binary Operations, Basics of Sets, Types of Relations, and Basics of Relations.

Set Theory and Relations

This chapter covers topics, such as Algebra of Matrices, Eigenvalues and Characteristic Equation, System of Linear Equations, Properties of Determinants, Special Types of Matrices, Adjoint of a Matrix, Determinant of a Square Matrix, etc.

Matrices and Determinants

This chapter covers topics, such as Basics of Mathematical Reasoning, Validity of a Statement, Logical Connectives, Quantifiers and Negations, Conditional Statements and Algebra of Statements.

Mathematical Reasoning

This chapter covers topics, such as Arithmetico-Geometric Progression, A.M., G.M., H.M. and their Relations, Harmonic Progression, Miscellaneous Series, Arithmetic Progression, Basics of Sequence and Series, and Geometric Progression.

Sequence and Series

This chapter covers topics, such as Nature of Roots, Common Roots, Algebraic Equations of Higher Degree, Location of Roots, Range and Graph of Quadratic Expressions, Quadratic Equation and its Solutions, Algebraic Expressions, etc.

Theory of Equation

This chapter covers topics, such as Algebraic Inequalities and Partial Fractions.

Fundamentals of Mathematics

This chapter covers topics, such as Basics of Complex Numbers, Roots of Unity, Properties of Conjugate, Modulus and Argument of Complex Numbers, Algebra of Complex Numbers, Geometry of Complex Numbers and De Moivre's Theorem.

Complex Numbers

This chapter covers topics, such as Logarithmic Equations and Inequalities, Basics of Logarithm and Properties of Logarithms.

Logarithm and its Applications

This chapter covers topics, such as General Term, Middle Term and Greatest Term in Binomial Expansion, Binomial Theorem for Any Index, Multinomial Theorem, Series involving Binomial Coefficients, Properties of Binomial Coefficients, etc.

Binomial Theorem

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Mathematical Induction

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