Wiley s Mathematics for IIT JEE Main and Advanced Algebra Vol 1 Maestro Series Dr. G S N Murti Dr. U M Swamy

Cover......Page 1
Half Title......Page 3
Title Page......Page 5
Copyright......Page 6
Dedication......Page 7
Acknowledgement......Page 9
Features and benifits at a glance
......Page 10
Note to the Students......Page 11
A. PEDAGOGY......Page 12
B. WORKED-OUT PROBLEMS AND ASSESSMENT – AS PER IIT-JEE PATTERN......Page 15
Contents......Page 23
1 Sets, Relations and
Functions......Page 27
1.1 Sets: Definition and Examples......Page 28
1.2 Set Operations......Page 31
1.3 Venn Diagrams......Page 39
1.4 Relations......Page 51
1.5 Equivalence Relations and Partitions......Page 59
1.6 Functions......Page 64
1.7 Graph of a Function......Page 75
1.8 Even Functions and Odd Functions......Page 79
Worked-Out Problems......Page 84
Summary......Page 94
Exercises......Page 99
Answers......Page 109
2 Exponentials and Logarithms
......Page 111
2.1 Exponential Function......Page 112
2.2 Logarithmic Function......Page 114
2.3 Exponential Equations......Page 115
2.4 Logarithmic Equations......Page 116
2.5 Systems of Exponential and Logarithmic Equations......Page 117
2.6 Exponential and Logarithmic Inequalities......Page 118
Worked-Out Problems......Page 119
Exercises......Page 126
Answers......Page 130
3 Complex Numbers
......Page 131
3.1 Ordered Pairs of Real Numbers......Page 132
3.2 Algebraic Form a + ib......Page 134
3.3 Geometric Interpretation......Page 138
3.4 The Trigonometric Form......Page 154
3.5 De Moivre’s Theorem......Page 157
3.6 Algebraic Equations......Page 162
Worked-Out Problems......Page 166
Summary......Page 183
Exercises......Page 187
Answers......Page 192
4 Quadratic Equations
......Page 195
4.1 Quadratic Expressions and Equations......Page 196
Worked-Out Problems......Page 206
Exercises......Page 223
Answers......Page 230
5 Progressions, Sequences and Series......Page 233
5.1 Sequences and Series......Page 234
5.2 Arithmetic Progressions......Page 237
5.3 Geometric Progressions......Page 243
5.4 Harmonic Progressions and Series......Page 247
5.5 Some Useful Formulae......Page 251
Worked-Out Problems......Page 253
Summary......Page 290
Exercises......Page 292
Answers......Page 300
6 Permutations and Combinations
......Page 303
6.2 Permutations......Page 304
6.3 Combinations......Page 312
Worked-Out Problems......Page 323
Summary......Page 338
Exercises......Page 340
Answers......Page 345
7 Binomial Theorem
......Page 347
7.1 Binomial Theorem for Positive Integral Index......Page 348
7.2 Binomial Theorem for Rational Index......Page 355
Worked-Out Problems......Page 359
Summary......Page 378
Exercises......Page 379
Answers......Page 383
8 Matrices, Determinants and System of Equations
......Page 385
8.1 Matrices......Page 386
8.2 Determinants......Page 421
8.3 Solutions of Linear Equations......Page 438
Worked-Out Problems......Page 444
Summary......Page 469
Exercises......Page 475
Answers......Page 482
9 Partial Fractions
......Page 485
9.1 Rational Fractions......Page 486
9.2 Partial Fractions......Page 488
Worked-Out Problems......Page 492
Summary......Page 496
Exercises......Page 497
Answers......Page 499
Index......Page 501
Backcover......Page 504