In this engaging session, students will explore essential topics such as calculus, algebra, geometry, and statistics. They’ll learn problem-solving techniques, discover real-world applications, and gain confidence in tackling complex mathematical concepts. By the end of the class, participants will be equipped with valuable skills to excel in their academic journey and beyond. 📚🔢

Who? High school students seeking mathematical mastery.
What? Dive into the fascinating world of calculus, algebra, geometry, and statistics.
Why? Unlock problem-solving superpowers and build a solid foundation.
Outcome? Confidence to conquer math challenges!
the Class 12 Math Syllabus along with the marks distribution:
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, and principal value branch. Graphs of inverse trigonometric functions.
2. Algebra (10 marks)
  - Matrices:
    - Concept, notation, order, equality, types of matrices.
    - Zero and identity matrix, transpose, symmetric, and skew-symmetric matrices.
    - Matrix operations: addition, multiplication, and scalar multiplication.
    - Invertible matrices and uniqueness of inverse (real entries).
  - Determinants:
    - Determinant of square matrices (up to 3x3).
    - Minors, co-factors, and applications in finding triangle area.
    - Adjoint and inverse of a square matrix.
3. Calculus (35 marks)
  - Continuity and differentiability.
  - Applications of derivatives: rate of change, increasing/decreasing functions, maxima/minima.
  - Integrals: definite and indefinite integrals, fundamental theorem of calculus.
  - Applications of integrals: area under curves, volume, and surface area.
4. Vectors and Three-Dimensional Geometry (14 marks)
  - Vectors: addition, scalar multiplication, dot and cross products.
  - Three-dimensional geometry: direction cosines, planes, and distance between points.
5. Linear Programming (5 marks)
  - Introduction to linear programming.
  - Formulation of linear programming problems.
6. Probability (8 marks)
  - Random experiments, sample space, events, and probability.
  - Conditional probability, Bayes’ theorem, and independence of events.
Total Theory Marks: 80 Internal Assessment Marks: 20 Grand Total: 100