Gear up for an incredible learning experience as we bring you a fast-track batch to complete the entire Class 12th Maths syllabus in just one month! Starting from 9th May 2025 to 30th June 2025, this summer vacation batch is specially designed for students aiming to ace their board exams and competitive entrances. With expert guidance, interactive sessions, and daily practice, this batch ensures conceptual clarity and problem-solving expertise. Don’t miss this golden opportunity to stay ahead in your preparation and make the most of your summer!

About the Batch :

Key Highlights of the Batch:

• Complete syllabus coverage in 1 month

• Daily 3-hour interactive sessions

• Comprehensive study material and notes

• Doubt-clearing sessions after every class

• Mock tests and progress tracking

Why Join This Batch:

• Expert teachers with proven results

• Focus on important board and competitive exam topics

• Perfect blend of theory and application-based questions

Batch Details:

• Start Date: 9th May 2025

• End Date: 30th June 2025

• Timings: 11:00AM to 2:00PM

• Mode: Offline

Fee Structure and Registration Process:

• Batch Fee: ₹40,000 (inclusive of study materials and mock tests).

• Registration Fee: ₹500 (non-refundable, required to reserve your seat).

How to Enroll:

1. Click on the "Enroll" button in Marathon 12th Express tab on our website.

2. Fill out the online registration form with your details.

3. Pay the ₹500 registration fee online to secure your seat.

4. Once registered, visit our center or complete the remaining payment online before the batch begins.

Hurry! Limited seats available. Reserve your spot today and get ready to ace Class 12th Maths this summer! 

Syllabus for "Maths Marathon 12th Express" Batch

We cover the entire Class 12th Mathematics syllabus as per CBSE guidelines, ensuring thorough understanding and preparation for both board exams and competitive entrances.

1. Relations and Functions (8 Marks)

• Types of relations: reflexive, symmetric, transitive, and equivalence relations

• One-to-one and onto functions

• Inverse trigonometric functions: definition, range, domain, principal value

2. Algebra (10 Marks)

• Matrices:

  • Concept, notation, order, and types of matrices

  • Operations: addition, multiplication, scalar multiplication

  • Transpose, symmetric and skew-symmetric matrices

  • Inverse of a matrix (if it exists) using adjoint method

• Determinants:

  • Properties of determinants

  • Application of determinants: solving systems of linear equations (Cramer’s Rule)

3. Calculus (35 Marks)

• Continuity and Differentiability:

  • Continuity and differentiability of functions

  • Derivatives of implicit functions

  • Logarithmic and exponential functions

  • Second-order derivatives

• Application of Derivatives:

  • Rate of change of quantities

  • Tangents and normals

  • Increasing and decreasing functions

  • Maxima and minima

• Integrals:

  • Definite and indefinite integrals

  • Integration as inverse process of differentiation

  • Methods of integration: substitution, partial fractions, by parts

  • Applications: area under curves (simple cases)

• Differential Equations:

  • Order and degree

  • General and particular solutions

  • Formation of differential equations

4. Vectors and Three-Dimensional Geometry (14 Marks)

• Vectors:

  • Magnitude and direction

  • Types: position and unit vectors

  • Operations: addition, scalar multiplication, dot product, cross product

• Three-Dimensional Geometry:

  • Direction cosines and direction ratios

  • Equation of a line and plane in space

  • Angle between two lines, line and plane, two planes

5. Linear Programming (5 Marks)

• Introduction to linear programming problems (LPP)

• Graphical method of solving problems

6. Probability (8 Marks)

• Conditional probability

• Multiplication theorem of probability

• Independent events

• Bayes’ theorem

• Random variables: probability distribution and mean (expectation)

Examination Weightage:

• Theory Marks: 80

• Internal Assessment (Projects/Assignments): 20

This comprehensive syllabus is delivered with a focus on:

• Board exam preparation (NCERT problems and past papers).

• Competitive entrance questions (JEE-level problem-solving).

By the end of the batch, students will have a solid grasp of concepts and techniques required to excel in both academic and competitive assessments.