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Mathematics, JEE Main, Class 11

JEE Main Mathematics: Class 11

Live JEE Main maths for Class 11, unit by unit on NTA's 2027 syllabus, from sets and functions to conic sections, 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 Syllabus for JEE (Main) - 2027, Paper 1 (B.E./B.Tech.), published by National Testing Agency (NTA). It takes the Class 11 part: 10 of the document's 14 units, 14 chapters and 44 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. 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 10 mathematics: algebra, linear and quadratic equations, coordinate geometry and trigonometry

What you will learn

  • Sets
  • Relations and Functions
  • Complex Numbers and Quadratic Equations
  • Permutations and Combinations
  • Binomial Theorem
  • Sequences and Series
  • Real functions and their graphs
  • Limits and Derivatives
  • Straight Lines
  • Conic Sections
  • Introduction to Three Dimensional Geometry
  • Statistics
  • Probability
  • Trigonometric Functions

Course curriculum

10 modules, 44 lessons

What you cover in 1 month

  1. Month 1
    • Module 1: Sets, relations and functions, lessons 1 to 4

The rest of the syllabus takes 10 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 15 lessons
  1. Lesson 1: Sets and their representation
  2. Lesson 2: Union, intersection and complement of sets and their algebraic properties
  3. Lesson 3: Power set
  4. Lesson 4: Relations
  5. Lesson 5: Functions

Module 2: Complex numbers and quadratic equations

After this plan7 lessons
  1. Lesson 1: Complex numbers as ordered pairs of reals
  2. Lesson 2: Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram
  3. Lesson 3: Algebra of complex numbers
  4. Lesson 4: Modulus and argument (or amplitude) of a complex number
  5. Lesson 5: Quadratic equations in real and complex number systems and their solutions
  6. Lesson 6: Relations between roots and coefficients, nature of roots
  7. Lesson 7: The formation of quadratic equations with given roots

Module 3: Permutations and combinations

After this plan4 lessons
  1. Lesson 1: The fundamental principle of counting
  2. Lesson 2: Permutations and combinations
  3. Lesson 3: Meaning of P(n, r) and C(n, r)
  4. Lesson 4: Simple applications

Module 4: Binomial theorem

After this plan3 lessons
  1. Lesson 1: Binomial theorem for a positive integral index
  2. Lesson 2: General term and middle term
  3. Lesson 3: Simple applications

Module 5: Sequences and series

After this plan3 lessons
  1. Lesson 1: Arithmetic and geometric progressions
  2. Lesson 2: Insertion of arithmetic and geometric means between two given numbers
  3. Lesson 3: Relation between A.M. and G.M.

Module 6: Limits, continuity and differentiability

After this plan5 lessons
  1. Lesson 1: Real-valued functions, algebra of functions
  2. Lesson 2: Polynomial, rational, trigonometric, logarithmic and exponential functions; inverse functions
  3. Lesson 3: Graphs of simple functions
  4. Lesson 4: Limits
  5. Lesson 5: Differentiation of the sum, difference, product and quotient of two functions

Module 7: Coordinate geometry

After this plan10 lessons
  1. Lesson 1: Cartesian system of rectangular coordinates in a plane, distance formula, section formula
  2. Lesson 2: Locus and its equation
  3. Lesson 3: The slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes
  4. Lesson 4: Various forms of equations of a line, intersection of lines, angles between two lines
  5. Lesson 5: Conditions for concurrence of three lines, the distance of a point from a line
  6. Lesson 6: Coordinates of the centroid, orthocentre and circumcentre of a triangle
  7. Lesson 7: Standard and general forms of the equation of a circle, its radius and centre
  8. Lesson 8: Equation of a circle when the endpoints of a diameter are given
  9. Lesson 9: Points of intersection of a line and a circle with the centre at the origin
  10. Lesson 10: Sections of conics; equations of the parabola, ellipse and hyperbola in standard forms

Module 8: Three-dimensional geometry

After this plan1 lesson
  1. Lesson 1: Coordinates of a point in space, the distance between two points, section formula

Module 9: Statistics and probability

After this plan5 lessons
  1. Lesson 1: Measures of dispersion
  2. Lesson 2: Mean, median and mode of grouped and ungrouped data
  3. Lesson 3: Standard deviation, variance and mean deviation for grouped and ungrouped data
  4. Lesson 4: Probability of an event
  5. Lesson 5: Addition theorem of probability

Module 10: Trigonometry

After this plan1 lesson
  1. Lesson 1: Trigonometric identities and trigonometric functions
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