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Mathematics, JEE Main, Class 12

JEE Main Mathematics: Class 12

Live JEE Main maths for Class 12, unit by unit on NTA's 2027 syllabus, from matrices to calculus and vectors, 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 12 part: 9 of the document's 14 units, 12 chapters and 37 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

  • The Class 11 part of the JEE Main syllabus: our Class 11 course, or the same chapters at school

What you will learn

  • Relations and Functions
  • Matrices
  • Determinants
  • Continuity and Differentiability
  • Application of Derivatives
  • Integrals
  • Application of Integrals
  • Differential Equations
  • Three Dimensional Geometry
  • Vector Algebra
  • Probability
  • Inverse Trigonometric Functions

Course curriculum

9 modules, 37 lessons

What you cover in 1 month

  1. Month 1
    • Module 1: Sets, relations and functions, all 3 lessons

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 13 lessons
  1. Lesson 1: Types of relations, equivalence relations
  2. Lesson 2: One-one, into and onto functions
  3. Lesson 3: The composition of functions

Module 2: Matrices and determinants

After this plan5 lessons
  1. Lesson 1: Matrices, algebra of matrices, types of matrices
  2. Lesson 2: Determinants and matrices of order two and three, evaluation of determinants
  3. Lesson 3: Area of triangles using determinants
  4. Lesson 4: Adjoint and inverse of a square matrix
  5. Lesson 5: Test of consistency and solution of simultaneous linear equations in two or three variables using matrices

Module 3: Limits, continuity and differentiability

After this plan6 lessons
  1. Lesson 1: Continuity and differentiability
  2. Lesson 2: Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions
  3. Lesson 3: Derivatives of order up to two
  4. Lesson 4: Rate of change of quantities
  5. Lesson 5: Monotonic (increasing and decreasing) functions
  6. Lesson 6: Maxima and minima of functions of one variable

Module 4: Integral calculus

After this plan8 lessons
  1. Lesson 1: Integral as an anti-derivative
  2. Lesson 2: Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions
  3. Lesson 3: Integration by substitution, by parts and by partial fractions
  4. Lesson 4: Integration using trigonometric identities
  5. Lesson 5: Simple integrals of the type ∫dx/(x² + a²), ∫dx/√(x² ± a²), ∫dx/(a² − x²), ∫dx/√(a² − x²), ∫dx/(ax² + bx + c), ∫dx/√(ax² + bx + c), ∫(px + q)dx/(ax² + bx + c), ∫(px + q)dx/√(ax² + bx + c), ∫√(a² ± x²)dx and ∫√(x² − a²)dx
  6. Lesson 6: The fundamental theorem of calculus
  7. Lesson 7: Properties of definite integrals, evaluation of definite integrals
  8. Lesson 8: Areas of the regions bounded by simple curves in standard forms

Module 5: Differential equations

After this plan4 lessons
  1. Lesson 1: Ordinary differential equations, their order and degree
  2. Lesson 2: Solution by the method of separation of variables
  3. Lesson 3: Solution of a homogeneous differential equation
  4. Lesson 4: Linear differential equations of the type dy/dx + p(x)y = q(x)

Module 6: Three-dimensional geometry

After this plan4 lessons
  1. Lesson 1: Direction ratios and direction cosines
  2. Lesson 2: The angle between two intersecting lines
  3. Lesson 3: Equation of a line
  4. Lesson 4: Skew lines, the shortest distance between them and its equation

Module 7: Vector algebra

After this plan3 lessons
  1. Lesson 1: Vectors and scalars, the addition of vectors
  2. Lesson 2: Components of a vector in two dimensions and three-dimensional space
  3. Lesson 3: Scalar and vector products

Module 8: Statistics and probability

After this plan3 lessons
  1. Lesson 1: Multiplication theorem of probability
  2. Lesson 2: Bayes' theorem
  3. Lesson 3: Probability distribution of a random variable

Module 9: Trigonometry

After this plan1 lesson
  1. Lesson 1: Inverse trigonometric functions and their properties
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