Introduction :
The Mathematics syllabus for GUJCET Class 12 focuses on building strong analytical and problem-solving skills. From calculus to algebra, students will cover a wide range of topics that are essential for competitive exam preparation.
Syllabus Topics & Subtopics:
- Relations and Functions:
- Types of relations
- Inverse trigonometric functions
- Matrices and Determinants:
- Operations on matrices
- Properties of determinants
- Applications of matrices in solving linear equations
- Continuity and Differentiability:
- Differentiation of functions
- Tangents and normals
- Mean value theorem
- Applications of Derivatives:
- Increasing and decreasing functions
- Maxima and minima
- Rate of change
- Integrals:
- Definite and indefinite integrals
- Fundamental theorem of calculus
- Application of integrals to areas under curves
- Differential Equations:
- Formation of differential equations
- Solutions to first-order linear equations
- Probability:
- Conditional probability
- Bayes’ theorem
- Random variables and distributions
- Vectors and Three-Dimensional Geometry:
- Vector algebra
- Scalar and vector products
- Planes and lines in 3D
- Linear Programming:
- Formulation of linear programming problems
- Graphical method of solution