11th Grade Mathematics Topics and Notes
1. Sets, Relations, and Functions
Definition of sets, types of sets, Venn diagrams, union, intersection, complement. Relations and
functions with examples.
2. Trigonometric Functions
Trigonometric identities, equations, properties of inverse trigonometric functions, graphs.
3. Complex Numbers
Definition, algebra of complex numbers, polar representation, De Moivre’s theorem.
4. Quadratic Equations
Solution of quadratic equations, nature of roots, relation between coefficients and roots.
5. Sequences and Series
Arithmetic progression, geometric progression, general term, sum of n terms, special series.
6. Straight Lines and Conic Sections
Equation of a line, slope, intercept form, pair of straight lines. Circle, parabola, ellipse, hyperbola with
equations.
7. Limits and Derivatives
Concept of limits, standard limits, derivatives of algebraic functions, rules of differentiation.
8. Statistics
Measures of dispersion (mean deviation, variance, standard deviation), analysis of data.
9. Probability
Random experiments, events, probability rules, conditional probability, Bayes’ theorem.
10. Mathematical Reasoning
1. Sets, Relations, and Functions
Definition of sets, types of sets, Venn diagrams, union, intersection, complement. Relations and
functions with examples.
2. Trigonometric Functions
Trigonometric identities, equations, properties of inverse trigonometric functions, graphs.
3. Complex Numbers
Definition, algebra of complex numbers, polar representation, De Moivre’s theorem.
4. Quadratic Equations
Solution of quadratic equations, nature of roots, relation between coefficients and roots.
5. Sequences and Series
Arithmetic progression, geometric progression, general term, sum of n terms, special series.
6. Straight Lines and Conic Sections
Equation of a line, slope, intercept form, pair of straight lines. Circle, parabola, ellipse, hyperbola with
equations.
7. Limits and Derivatives
Concept of limits, standard limits, derivatives of algebraic functions, rules of differentiation.
8. Statistics
Measures of dispersion (mean deviation, variance, standard deviation), analysis of data.
9. Probability
Random experiments, events, probability rules, conditional probability, Bayes’ theorem.
10. Mathematical Reasoning
