Grade 12 Mathematics Syllabus1. Grade 12 Relation and Functions- Types of relations
- Types of functions
- Composition of functions
- Inverse of a function
- Binary operations
2. Grade 12 Inverse Trigonometric Functions- Properties of inverse trigonometric functions
- Graphs of inverse trigonometric functions
- Trigonometric equations and inverses
3. Grade 12 Matrices- Introduction to matrices
- Types of matrices
- Operations on matrices
- Determinants of matrices
- Inverse of a matrix
4. Grade 12 Determinants- Properties of determinants
- Cramer's rule
- Adjoint and inverse of a matrix
- Applications of determinants
5. Grade 12 Continuity and Differentiability- Continuity of functions
- Differentiability of functions
- Differentiation rules
- Rolle's theorem and mean value theorem
6. Grade 12 Application of Derivatives- Rate of change and slope
- Increasing and decreasing functions
- Maxima and minima
- Tangents and normals
- Applications of derivatives in various fields
7. Grade 12 Integrals- Indefinite integrals
- Definite integrals
- Properties of integrals
- Techniques of integration
8. Grade 12 Application of Integrals- Area under curves
- Area between curves
- Differential equations
- Applications of integrals in physics and economics
9. Grade 12 Differential Equations- Types of differential equations
- Methods of solving differential equations
- Applications of differential equations
10. Grade 12 Vectors- Introduction to vectors
- Types of vectors
- Operations on vectors
- Scalar and vector products
11. Grade 12 Three Dimensional Geometry- Coordinates in three-dimensional space
- Direction ratios and direction cosines
- Equations of lines and planes
- Distance between points and lines
12. Grade 12 Linear Programming- Introduction to linear programming
- Formulation of linear programming problems
- Graphical method of solving linear programming problems
- Simplex method
13. Grade 12 Probability- Basic concepts of probability
- Conditional probability
- Bayes' theorem
- Random variables and probability distributions
14. Grade 12 Past Year Papers- Solving past year papers to practice and revise the concepts
15. Grade 12 CBSE Past Year Papers- Solving CBSE past year papers to familiarize with the exam pattern and marking scheme
16. Grade 12 CBSE Sample Papers with Solutions- Practicing CBSE sample papers with solutions for better preparation
17. Grade 12 CBSE New Pattern Term I Practice Questions- Solving practice questions based on the new pattern introduced by CBSE for Term I exams
18. Grade 12 CBSE New Pattern Term II Practice Questions- Solving practice questions based on the new pattern introduced by CBSE for Term II exams
19. Grade 12 NCERT Exemplars- Referring to NCERT exemplars for additional practice and challenging questions
20. Grade 12 NCERT Textbook and NCERT Solutions- Studying the NCERT textbook and referring to NCERT solutions for thorough understanding of concepts
21. Grade 12 Official Sample Papers- Practicing official sample papers released by the examination board for better exam preparation
22. Grade 12 Previous Years Question Papers (PYQs)- Solving previous years' question papers to get acquainted with the types of questions asked in the exams
23. Grade 12 RD Sharma Solutions- Referring to RD Sharma solutions for additional practice and understanding of complex mathematical problems.
This course is helpful for the following exams: Grade 12