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
- Answers
- 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
- Answers
- 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
- Answers
- Quadratic Equations
- Quadratic Expressions and Equations
- Worked-Out Problems
- Summary
- Exercises
- Answers
- Progressions, Sequences and Series
- Sequences and Series
- Arithmetic Progressions
- Geometric Progressions
- Harmonic Progressions and Series
- Some Useful Formulae
- Worked-Out Problems
- Summary
- Exercises
- Answers
- Permutations and Combinations
- Factorial Notation
- Permutations
- Combinations
- Worked-Out Problems
- Summary
- Exercises
- Answers
- Binomial Theorem
- Binomial Theorem for Positive Integral Index
- Binomial Theorem for Rational Index
- Worked-Out Problems
- Summary
- Exercises
- Answers
- Matrices, Determinants and System of Equations
- Matrices
- Determinants
- Solutions of Linear Equations
- Worked-Out Problems
- Summary
- Exercises
- Answers
- Partial Fractions
- Rational Fractions
- Partial Fractions
- Worked-Out Problems
- Summary
- Exercises
- Answers
