📘 1. Algebra

Algebra forms a large and fundamental part of the JEE Maths syllabus.IIT Math Tutor in Noida

Topics Covered:

IIT Math Tutor in Noida

• Sets, Relations & Functions: Set operations, types of relations, functions, composition, inverse functions.
• Complex Numbers: Representation, modulus & argument, Argand plane, roots of complex numbers.
• Quadratic Equations: Roots, nature of roots, formation of equations.
• Matrices & Determinants: Matrix operations, inverse, determinants, solution of linear systems.
• Permutations & Combinations: Counting principles and arrangements.
• Binomial Theorem & Sequences and Series: Binomial expansion, AP/GP, special series.

📐 2. Calculus

Calculus is one of the highest-weightage areas in JEE maths.

Key Areas:

• Limits, Continuity & Differentiability: Understanding behavior of functions, derivative concepts.
• Integrals: Indefinite and definite integrals, techniques, applications like area under curves.
• Differential Equations: Ordinary differential equations and basic solution techniques.
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📍 3. Coordinate Geometry

This section tests your understanding of geometric shapes and their algebraic representations.

Topics Include:

• Straight Lines & Pair of Lines
• Circles
• Conic Sections: Parabola, ellipse, hyperbola
• 3-Dimensional Geometry: Coordinates in 3D, direction ratios/cosines

📊 4. Vectors & 3D Geometry

Focuses on vector addition, dot/cross products, and geometric interpretation in 2D/3D space.

📈 5. Trigonometry

Basic to advanced identities and trigonometric equations, including inverse trigonometric functions.

📊 6. Probability & Statistics

Some parts of probability and basic statistics are included especially for JEE Main:

• Classical probability
• Bayes’ theorem
• Measures of central tendency and dispersion (mean, median, variance)

📦 7. Miscellaneous

• Mathematical Reasoning / Logic: Logical statements and arguments.
• Limits of sequences and series (in Advanced).