JEE Mathematics (Maths) for JEE Main & AdvancedJEE Algebra- Polynomials: Degree, Coefficients, Roots, Factor Theorem, Remainder Theorem
- Quadratic Equations: Nature of Roots, Quadratic Formula, Discriminant, Sum and Product of Roots
- Progressions: Arithmetic Progression, Geometric Progression, Harmonic Progression
- Permutations and Combinations: Factorial Notation, Fundamental Principle of Counting, Permutations, Combinations
- Binomial Theorem: Expansion of Binomial, General Term, Properties
- Complex Numbers: Basic Operations, Modulus, Conjugate, Polar and Exponential Forms
- Matrices and Determinants: Addition, Subtraction, Multiplication, Transpose, Adjoint, Inverse
- Mathematical Induction: Principle of Mathematical Induction, Strong Induction, Recursive Definitions
JEE Coordinate Geometry- Cartesian System of Rectangular Coordinates: Distance Formula, Section Formula, Mid-point Formula
- Straight Lines: Slope of a Line, Equation of a Line, Distance of a Point from a Line, Pair of Straight Lines
- Circles: Standard Equation of a Circle, Tangent and Normal to a Circle, Family of Circles
- Parabola: Equation of Parabola, Vertex, Focus, Directrix, Latus Rectum
- Ellipse: Equation of Ellipse, Eccentricity, Foci, Directrix
- Hyperbola: Equation of Hyperbola, Eccentricity, Foci, Asymptotes
- Introduction to Three-Dimensional Geometry: Coordinates of a Point, Distance Formula, Section Formula
JEE Trigonometry- Trigonometric Functions: Definitions, Values, Trigonometric Identities
- Trigonometric Ratios of Compound Angles: Addition and Subtraction Formulas, Multiple and Submultiple Angles
- Heights and Distances: Angle of Elevation, Angle of Depression, Trigonometric Ratios
- Inverse Trigonometric Functions: Inverse Trigonometric Ratios, Principal Value Branches, Properties
JEE Calculus- Limits: Definition, Basic Properties, Evaluation Techniques
- Continuity: Definition, Intermediate Value Theorem, Derivative and Continuity
- Differentiation: Rules of Differentiation, Chain Rule, Derivatives of Trigonometric, Logarithmic, and Exponential Functions
- Applications of Derivatives: Rate of Change, Tangents and Normals, Maxima and Minima, Increasing and Decreasing Functions
- Indefinite Integration: Basic Integration Formulas, Integration by Substitution, Integration by Parts
- Definite Integration: Area under a Curve, Properties of Definite Integrals, Evaluation Techniques
- Differential Equations: Definition, Order and Degree, General and Particular Solutions
- Applications of Integrals: Area bounded by Curves, Length of Curves, Volume and Surface Area of Solids
JEE Vector Algebra- Vectors and Scalars: Definition, Operations, Components, Magnitude, Direction
- Addition of Vectors: Triangle Law, Parallelogram Law, Polygon Law
- Multiplication of Vectors: Scalar (Dot) Product, Vector (Cross) Product
- Scalar Triple Product and Vector Triple Product: Definition, Properties, Geometrical Interpretation
JEE Statistics & Probability- Measures of Central Tendency: Mean, Median, Mode
- Measures of Dispersion: Range, Variance, Standard Deviation
- Probability: Basic Concepts, Addition and Multiplication Rules, Conditional Probability, Bayes' Theorem
JEE Three Dimensional Geometry- Direction Cosines and Direction Ratios: Definition, Properties, Relation between Direction Cosines and Direction Ratios
- Distance between Two Points and Section Formula: Distance Formula, Section Formula
- Equations of Lines and Planes: Cartesian and Vector Equations, Angle between Two Lines, Angle between Line and Plane, Angle between Two Planes
JEE Mathematical Reasoning- Statements and Logical Operations: Negation, Conjunction, Disjunction, Implication, Biconditional
- Validating Statements: Contrapositive, Converse, Inverse, Counterexample
- Sets and Functions: Types of Sets, Relations, Types of Functions
JEE Revision Notes- Comprehensive notes covering all topics in JEE Mathematics
JEE Formula Sheets for JEE- Handy formula sheets containing all important formulas for quick reference during exams
JEE Mind maps for JEE- Visual aids to help understand and remember key concepts in JEE Mathematics
This course is helpful for the following exams: JEE