JEE Advanced 2025 Maths Syllabus PDF - Download JEE Advanced Maths Syllabus Topic wise

JEE Advanced Maths Syllabus 2025

JEE Advanced 2025 Mathematics syllabus is designed to test a candidate's conceptual understanding and problem-solving skills in a wide range of mathematical topics. It covers a broad spectrum of concepts from algebra, trigonometry, calculus, coordinate geometry, and vectors. The difficulty level of the maths exam is higher as compared to physics and chemistry in the JEE advanced exam. So the applicants should be prepared with the entire syllabus to crack the exam. Read the important details about the JEE Advanced 2025 Syllabus for Mathematics.

JEE Advanced 2025 Syllabus for Maths - Chapter Wise

Check the complete chapter-wise mathematics syllabus fo JEE Advanced 2025 below:

Set, Relations, Functions 

• Sets (their representation), various kinds of sets, algebra of sets
• Complement, intersection, symmetric difference of sets (their algebraic properties)
• Laws by De-Morgan on intersection, union, difference (practical problems on them)
• Function as special case of relation 
• Function as mapping, codomain, domain
• Different range of functions 
• Even/odd functions 
• Into/onto/one-to-one functions 
• All special functions 
• Difference, product, sum, & composition of functions 
• Invertible functions

Algebra 

• Complex number algebra 
• Triangle inequality 
• Unity cube roots 
• Geometric interpretations 
• Multiplication/addition/conjugation/polar representation properties of modulus 
• Fundamental theorem of algebra’s statement 
• Quadratic equation with real coefficients 
• Roots & coefficients relationship 
• Quadratic equations formation with given roots
• Roots symmetric functions 
• Geometric/arithmetic progression 
• Arithmetic/geometric means 
• Finite arithmetic & geometric progression sums 
• Infinite geometric series 
• First N natural numbers sum 
• Squares & cubes of first N number sum 
• Logarithms (its properties)
• Combinations/permutations
• Binomial theory for a positive integral index 
• Binomial coefficients properties

Matrices 

• Matrices equality 
• Matrices as rectangular array for real numbers 
• Multiplication/addition by a scalar & product of matrices 
• Elementary column/row transformations 
• Adjoint of matrix 
• Square matrix determinant of order up to three 
• Square matrix inverse of order up to three 
• Matrix operations properties 
• Symmetric/diagonal/skew symmetric matrices (their properties)
• Simultaneous linear equations solutions in two/three variables

Probability & Statistics 

• Random experiment 
• Sample space 
• Different kinds of events 
• Multiplication/addition probability rules 
• Conditional probability 
• Events independence 
• Total probability 
• Theorem by Baye 
• Use permutation & combinations for computation of probability
• Dispersion and central tendency measurement 
• Mean/median/standard deviation/mean deviation 
• Variance of ungrouped/grouped data 
• Frequency distribution data analysis with same mean but different variance 
• Random variable/variance & mean of the random variable

Trigonometry

• Trigonometric functions (periodicity & graph)
• Subtraction/addition formula 
• Formula involving sub-multiple & multiple angles 
• Trigonometric equations general solutions 
• Inverse trigonometric functions (elementary properties)

Analytical Geometry

• Two dimensions: Cartesian coordinates/two points distance/section formula/shift of origin 
• Various forms of equation of straight line 
• Angle between 2 lines 
• Distance of point from line 
• Lines via the point of intersection of two lines 
• Equation of bisector for angle between 2 lines 
• Lines concurrency 
• Centroid/orthocenter/incenter/circumcenter of triangle 
• Equation of circle in various forms 
• Circle’s parametric equations 
• Intersection of circle with circle/straight line 
• Parabola equation 
• Hyperbola/ellipse in standard form 
• Parametric equations/equations of tangent and circle 
• Three dimensions: Two points distance, Direction ratios/cosines, equation of straight line in space
• Two lines, the shortest distance 
• Skew lines 
• Plane equation 
• Distance of point from plane 
• Angle between two planes/lines/a line & plane
• Coplanar lines 

Important Chapters from JEE Advanced Maths 2025 Syllabus

Here are the important chapters for the JEE Advanced Maths 2025 syllabus. 

Best Books for Maths 2025 Syllabus Preparation

Refer to the best books to prepare for the 2025 syllabus effectively. 

• NCERT textbooks for class 12 & 11
• Maths 11 and 12 by RD Sharma 
• High Algebra by Hall Knight 
• Advanced Problems in Mathematics for JEE by Vikas Gupta and Pankaj Joshi

Preparation Tips for Maths Syllabus

Have a look at the preparation tips for the Maths 2025 syllabus for JEE advanced. 

• Practice formulas by writing as much as you can. This will help you in memorizing these formulas and you can solve the problems easily with the help of formulas in the exam. 
• Focus on the chapters that carry the highest weightage so that you can score more in the exam. 
• Study from the NCERT textbooks as they can be a great resource to understand things with good examples. 
• Look at the Jee advanced 2024/2023 question papers and practice them so that you are prepared for the examination day. 
• Practice is the key to acing the exam. The more you practice the more you will have the speed to write the exam. Practice will also make you fluent in solving mathematical problems. 

What are the Topics Carrying Maximum Weightage in Maths Syllabus?

Check the table below to know the chapters with maximum weightage.