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Mathematics, JEE Advanced, Class 11, Class 12, Dropper

JEE Advanced Mathematics: Dropper Year

A dropper year of live JEE Advanced maths: every section of the official 2026 syllabus, Class 11 and 12 together, in a group of up to 5 or 1-on-1.

Course length
12 months (52 weeks)
Live classes
96

Overview

This course follows the mathematics part of the official JEE (Advanced) 2026 Syllabus, published by jeeadv.ac.in, the JEE (Advanced) 2026 site. It takes the Class 11 and Class 12 part: 9 of the document's 9 sections, 26 chapters and 88 topics, each topic a lesson in the document's own words. The document does not say which class a topic belongs to, so a chapter is placed in the class where the NCERT textbook teaches it. A dropper year goes through both classes again in one year, Class 11's chapters of each unit before Class 12's. Classes are live and 60 minutes long: 8 a month in a group of up to 5 students, or 1-on-1 at times set with your family, over 52 weeks.

What to know first

  • Class 11 and Class 12 mathematics studied once: this year takes the whole syllabus again, section by section

What you will learn

  • Sets (Class 11)
  • Relations and Functions (Class 11)
  • Relations and Functions (Class 12)
  • Complex Numbers and Quadratic Equations (Class 11)
  • Sequences and Series (Class 11)
  • Logarithms (Class 11)
  • Permutations and Combinations (Class 11)
  • Binomial Theorem (Class 11)
  • Matrices (Class 12)
  • Determinants (Class 12)
  • Probability (Class 11)
  • Statistics (Class 11)
  • Probability (Class 12)
  • Trigonometric Functions (Class 11)
  • Inverse Trigonometric Functions (Class 12)
  • Straight Lines (Class 11)
  • Conic Sections (Class 11)
  • Introduction to Three Dimensional Geometry (Class 11)
  • Three Dimensional Geometry (Class 12)
  • Limits and Derivatives (Class 11)
  • Continuity and Differentiability (Class 12)
  • Application of Derivatives (Class 12)
  • Integrals (Class 12)
  • Application of Integrals (Class 12)
  • Differential Equations (Class 12)
  • Vector Algebra (Class 12)

Course curriculum

9 modules, 88 lessons

What you cover in 1 month

  1. Month 1
    • Module 1: Sets, Relations and Functions, lessons 1 to 7

The rest of the syllabus takes 12 months more. You can add months at any time.

This is the planned order at the plan's number of classes. Your teacher adjusts the pace to the student.

Module 1: Sets, Relations and Functions

Month 112 lessons
  1. Lesson 1: Sets and their representations, different kinds of sets (empty, finite and infinite)
  2. Lesson 2: Algebra of sets, intersection, complement, difference and symmetric difference of sets and their algebraic properties
  3. Lesson 3: De Morgan's laws on union, intersection, difference (for a finite number of sets) and practical problems based on them
  4. Lesson 4: Cartesian product of finite sets, ordered pair, relations, domain and codomain of relations
  5. Lesson 5: Function as a special case of relation, functions as mappings, domain, codomain and range of functions
  6. Lesson 6: Even and odd functions
  7. Lesson 7: Special functions (polynomial, trigonometric, exponential, logarithmic, power, absolute value, greatest integer, etc.)
  8. Lesson 8: Sum, difference and product of functions
  9. Lesson 9: Equivalence relation
  10. Lesson 10: Invertible functions
  11. Lesson 11: Into, onto and one-to-one functions
  12. Lesson 12: Composition of functions

Module 2: Algebra

After this plan13 lessons
  1. Lesson 1: Algebra of complex numbers, addition, multiplication, conjugation
  2. Lesson 2: Polar representation, properties of modulus and principal argument
  3. Lesson 3: Triangle inequality, cube roots of unity, geometric interpretations
  4. Lesson 4: Statement of the fundamental theorem of algebra
  5. Lesson 5: Quadratic equations with real coefficients, relations between roots and coefficients
  6. Lesson 6: Formation of quadratic equations with given roots, symmetric functions of roots
  7. Lesson 7: Arithmetic and geometric progressions, arithmetic and geometric means
  8. Lesson 8: Sums of finite arithmetic and geometric progressions, infinite geometric series
  9. Lesson 9: Sum of the first n natural numbers, sums of squares and cubes of the first n natural numbers
  10. Lesson 10: Logarithms and their properties
  11. Lesson 11: Permutations and combinations
  12. Lesson 12: Binomial theorem for a positive integral index
  13. Lesson 13: Properties of binomial coefficients

Module 3: Matrices

After this plan8 lessons
  1. Lesson 1: Matrices as a rectangular array of real numbers, equality of matrices
  2. Lesson 2: Addition, multiplication by a scalar and product of matrices, transpose of a matrix
  3. Lesson 3: Elementary row and column transformations
  4. Lesson 4: Properties of these matrix operations
  5. Lesson 5: Diagonal, symmetric and skew-symmetric matrices and their properties
  6. Lesson 6: Determinant of a square matrix of order up to three
  7. Lesson 7: Adjoint of a matrix, inverse of a square matrix of order up to three
  8. Lesson 8: Solutions of simultaneous linear equations in two or three variables

Module 4: Probability and Statistics

After this plan10 lessons
  1. Lesson 1: Random experiment, sample space, different types of events (impossible, simple, compound)
  2. Lesson 2: Addition rule of probability
  3. Lesson 3: Computation of probability of events using permutations and combinations
  4. Lesson 4: Measures of central tendency and dispersion
  5. Lesson 5: Mean, median, mode, mean deviation, standard deviation and variance of grouped and ungrouped data
  6. Lesson 6: Analysis of the frequency distribution with the same mean but different variance
  7. Lesson 7: Multiplication rule of probability
  8. Lesson 8: Conditional probability, independence of events
  9. Lesson 9: Total probability, Bayes' theorem
  10. Lesson 10: Random variable, mean and variance of the random variable

Module 5: Trigonometry

After this plan5 lessons
  1. Lesson 1: Trigonometric functions, their periodicity and graphs
  2. Lesson 2: Addition and subtraction formulae
  3. Lesson 3: Formulae involving multiple and sub-multiple angles
  4. Lesson 4: General solution of trigonometric equations
  5. Lesson 5: Inverse trigonometric functions (principal value only) and their elementary properties

Module 6: Analytical Geometry

After this plan16 lessons
  1. Lesson 1: Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin
  2. Lesson 2: Equation of a straight line in various forms, angle between two lines, distance of a point from a line
  3. Lesson 3: Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines
  4. Lesson 4: Centroid, orthocentre, incentre and circumcentre of a triangle
  5. Lesson 5: Equation of a circle in various forms, equations of tangent, normal and chord
  6. Lesson 6: Parametric equations of a circle, intersection of a circle with a straight line or a circle
  7. Lesson 7: Equation of a circle through the points of intersection of two circles and those of a circle and a straight line
  8. Lesson 8: Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity
  9. Lesson 9: Parametric equations of the conics, equations of tangent and normal
  10. Lesson 10: Locus problems
  11. Lesson 11: Three dimensions: distance between two points
  12. Lesson 12: Direction cosines and direction ratios, equation of a straight line in space
  13. Lesson 13: Skew lines, shortest distance between two lines
  14. Lesson 14: Equation of a plane, distance of a point from a plane
  15. Lesson 15: Angle between two lines, angle between two planes, angle between a line and the plane
  16. Lesson 16: Coplanar lines

Module 7: Differential Calculus

After this plan13 lessons
  1. Lesson 1: Limit of a function at a real number
  2. Lesson 2: Derivative of a function
  3. Lesson 3: Derivative of the sum, difference, product and quotient of two functions
  4. Lesson 4: Continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions
  5. Lesson 5: L'Hospital rule of evaluation of limits of functions
  6. Lesson 6: Continuity of composite functions, intermediate value property of continuous functions
  7. Lesson 7: Chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions
  8. Lesson 8: Derivatives of order two, derivatives up to order two of implicit functions
  9. Lesson 9: Rolle's theorem and Lagrange's mean value theorem, geometric interpretation of the two theorems
  10. Lesson 10: Tangents and normals
  11. Lesson 11: Increasing and decreasing functions
  12. Lesson 12: Maximum and minimum values of a function
  13. Lesson 13: Geometric interpretation of derivatives

Module 8: Integral Calculus

After this plan7 lessons
  1. Lesson 1: Integration as the inverse process of differentiation, indefinite integrals of standard functions
  2. Lesson 2: Definite integrals as the limit of sums, definite integrals and their properties, fundamental theorem of integral calculus
  3. Lesson 3: Integration by parts, integration by the methods of substitution and partial fractions
  4. Lesson 4: Application of definite integrals to the determination of areas bounded by simple curves
  5. Lesson 5: Formation of ordinary differential equations
  6. Lesson 6: Solution of homogeneous differential equations of first order and first degree
  7. Lesson 7: Separation of variables method, linear first order differential equations

Module 9: Vectors

After this plan4 lessons
  1. Lesson 1: Addition of vectors, scalar multiplication
  2. Lesson 2: Dot and cross products
  3. Lesson 3: Scalar and vector triple products
  4. Lesson 4: Their geometrical interpretations
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