# Wiley’s Mathematics for JEE Main and Advanced Algebra

Wiley s Mathematics for IIT JEE Main and Advanced Algebra Vol 1

## Contents of Mathematics for JEE Algebra

• Sets, Relations and Functions
• Sets: Definition and Examples
• Set Operations
• Venn Diagrams
• Relations
• Equivalence Relations and Partitions
• Functions
• Graph of a Function
• Even Functions and Odd Functions
• Worked-Out Problems
• Summary
• Exercises
• Exponentials and Logarithms
• Exponential Function
• Logarithmic Function
• Exponential Equations
• Logarithmic Equations
• Systems of Exponential and Logarithmic Equations
• Exponential and Logarithmic Inequalities
• Worked-Out Problems
• Summary
• Exercises
• Complex Numbers
• Ordered Pairs of Real Numbers
• Algebraic Form a + ib
• Geometric Interpretation
• The Trigonometric Form
• De Moivre’s Theorem
• Algebraic Equations
• Worked-Out Problems
• Summary
• Exercises
• Worked-Out Problems
• Summary
• Exercises
• Progressions, Sequences and Series
• Sequences and Series
• Arithmetic Progressions
• Geometric Progressions
• Harmonic Progressions and Series
• Some Useful Formulae
• Worked-Out Problems
• Summary
• Exercises
• Permutations and Combinations
• Factorial Notation
• Permutations
• Combinations
• Worked-Out Problems
• Summary
• Exercises
• Binomial Theorem
• Binomial Theorem for Positive Integral Index
• Binomial Theorem for Rational Index
• Worked-Out Problems
• Summary
• Exercises
• Matrices, Determinants and System of Equations
• Matrices
• Determinants
• Solutions of Linear Equations
• Worked-Out Problems
• Summary
• Exercises
• Partial Fractions
• Rational Fractions
• Partial Fractions
• Worked-Out Problems
• Summary
• Exercises