New Pattern Mathematics for JEE Main and Advanced (2e) is a vast bank of questions designed on the latest trends appearing in JEE Main and Advanced. It offers the aspirants an opportunity to familiarize themselves with the nature and level of complexity of questions asked in JEE Main and Advanced.
The content in the book has been divided into five broad sections: Algebra, Trigonometry, Coordinate Geometry, Calculus, and Vectors and 3D Geometry. Each section in turn has been sub-divided into chapters comprising all types of questions asked in JEE Main and Advanced. Solutions given at the end of the book help aspirants in recognizing the methodology by which tricky questions can be cracked in the examination, thus enhancing their problem-solving ability. The Cengage App connected with the book features chapterwise mini tests to practice for JEE Main and Advanced.
Algebra
Chapter 1: Inequalities and Absolute Value
Chapter 2: Theory of Equations
Chapter 3: Complex Numbers
Chapter 4: Progression and Series
Chapter 5: Inequalities Involving Means
Chapter 6: Permutation and Combination
Chapter 7: Binomial Theorem
Chapter 8: Determinants
Chapter 9: Matrices
Chapter 10: Probability
Trigonometry
Chapter 11: Logarithm and Its Applications
Chapter 12: Trigonometric Functions
Chapter 13: Trigonometric Ratios for Compound, Multiple, Sub-multiple Angles, and Transformation Formulas
Chapter 14: Trigonometric Equations
Chapter 15: Inverse Trigonometric Functions
Chapter 16: Solutions and Properties of Triangle
Coordinate Geometry
Chapter 17: Coordinate System
Chapter 18: Straight Lines
Chapter 19: Pair of Straight Lines
Chapter 20: Circle
Chapter 21: Parabola
Chapter 22: Ellipse
Chapter 23: Hyperbola
Calculus
Chapter 24: Functions
Chapter 25: Limits
Chapter 26: Continuity and Differentiability
Chapter 27: Methods of Differentiation
Chapter 28: Application of Derivatives
Chapter 29: Monotonicity and Maxima–Minima of Functions
Chapter 30: Indefinite Integration
Chapter 31: Definite Integration
Chapter 32: Area
Chapter 33: Differential Equations
Vectors and 3D-Geometry
Chapter 34: Introduction to Vectors
Chapter 35: Different Products of Vectors and Their Geometrical Applications
Chapter 36: Three-Dimensional Geometry
Hints and Solutions
Appendix
Solved JEE Advanced 2018 and 2019 Papers