Grade 11 Mathematics Syllabus
Grade 11 Mathematics is an essential subject that lays the foundation for advanced mathematical concepts. This syllabus is designed to provide students with a comprehensive understanding of various mathematical topics. It covers a wide range of topics, including sets, relations and functions, trigonometric functions, complex numbers, quadratic equations, permutations and combinations, binomial theorem, sequence and series, straight lines, circle, parabola, ellipse, hyperbola, three-dimensional geometry, limits and derivatives, mathematical reasoning, statistics, probability, and more. The syllabus also includes sample papers, past years papers, CBSE new pattern term I and term II practice questions, NCERT exemplars, NCERT textbook, NCERT solutions, and RD Sharma solutions.
1. Sets
- Introduction to sets
- Representation of sets
- Types of sets
- Operations on sets
- Venn diagrams
2. Relations and Functions
- Relations and their types
- Functions and their types
- Composition of functions
- Inverse of a function
3. Trigonometric Functions
- Introduction to trigonometry
- Trigonometric ratios and identities
- Trigonometric functions of special angles
- Trigonometric equations
4. Principle of Mathematical Induction
- Introduction to mathematical induction
- Principle of mathematical induction
- Applications of mathematical induction
5. Complex Numbers Quadratic Equations
- Complex numbers and their properties
- Quadratic equations and their solutions
- Graphical representation of quadratic equations
6. Linear Inequalities
- Linear inequalities and their solutions
- Graphical representation of linear inequalities
7. Permutations and Combinations
- Fundamental principle of counting
- Permutations and combinations
- Applications of permutations and combinations
8. Binomial Theorem
- Binomial theorem and its proof
- Binomial coefficients and their properties
- Applications of binomial theorem
9. Sequence and Series
- Arithmetic progression
- Geometric progression
- Sum of n terms of arithmetic and geometric progressions
10. Straight Lines
- Slope-intercept form of a straight line
- Point-slope form of a straight line
- Intercept form of a straight line
- Various forms of a straight line equation
11. Circle Parabola Ellipse Hyperbola
- Equation of a circle
- Standard equations of parabola, ellipse, and hyperbola
- Properties of conic sections
12. Introduction to Three Dimensional Geometry
- Coordinate axes and coordinate planes in three dimensions
- Distance between two points in space
- Section formula
13. Limits and Derivatives
- Introduction to limits
- Limit of a function and its properties
- Introduction to derivatives
- Derivatives of various functions
14. Mathematical Reasoning
- Statements and their types
- Logical connectives
- Validating statements using various rules of mathematical reasoning
15. Statistics
- Introduction to statistics
- Measures of central tendency
- Measures of dispersion
- Probability distribution
16. Probability
- Basic concepts of probability
- Conditional probability
- Multiplication theorem on probability
- Bayes' theorem
17. Sample Papers with Solutions
- Practice papers with detailed solutions for self-assessment
18. Past Years Papers
- Previous years' question papers for practice and familiarity with exam pattern
19. CBSE New Pattern Term I Practice Questions
- Practice questions based on the new pattern introduced by CBSE for term I exams
20. CBSE New Pattern Term II Practice Questions
- Practice questions based on the new pattern introduced by CBSE for term II exams
21. NCERT Exemplars
- Additional questions and problems for practice and in-depth understanding
22. NCERT Textbook and NCERT Solutions
- Comprehensive study material based on the NCERT textbook, along with detailed solutions
23. Previous Year Questions (PYQs)
- Compilation of previous year questions for thorough revision and practice
24. RD Sharma Solutions
- Solutions to problems from the popular RD Sharma textbook for additional practice
By following this comprehensive syllabus and utilizing the available resources, students can develop a strong foundation in mathematics and excel in their Grade 11 examinations.
This course is helpful for the following exams: Grade 11