Commerce Mathematics (Maths) Class 11 Syllabus1. Commerce Sets- Introduction to sets and their representation
- Types of sets: finite and infinite sets, empty set, equal sets, equivalent sets
- Operations on sets: union, intersection, complement, difference, power set
- Venn diagrams
2. Commerce Relations and Functions- Introduction to relations and functions
- Types of relations: reflexive, symmetric, transitive, equivalence relations
- Types of functions: one-to-one, onto, composite functions
- Composition of functions
- Inverse of a function
- Binary operations
3. Commerce Trigonometric Functions- Introduction to trigonometric functions: sine, cosine, tangent, cosecant, secant, cotangent
- Trigonometric ratios and identities
- Trigonometric equations
- Trigonometric functions of sum and difference of angles
- Trigonometric functions of multiple and sub-multiple angles
4. Commerce Principle of Mathematical Induction- Introduction to mathematical induction
- Principle of mathematical induction and its applications
- Strong principle of mathematical induction
5. Commerce Complex Numbers & Quadratic Equations- Introduction to complex numbers: real and imaginary parts, modulus, conjugate
- Operations on complex numbers: addition, subtraction, multiplication, division
- Quadratic equations and their solutions using factorization, completing the square, quadratic formula
- Nature of roots of quadratic equations
6. Commerce Linear Inequalities- Linear inequalities in one variable and their graphical representation
- Linear inequalities in two variables and their graphical representation
- Solution of linear inequalities
7. Commerce Permutations and Combinations- Fundamental principle of counting
- Permutations: circular permutations, permutations with repetitions
- Combinations: combinations with repetitions, binomial theorem for positive integral indices
8. Commerce Binomial Theorem- Binomial theorem for positive integral indices
- Binomial theorem for rational indices
9. Commerce Sequence and Series- Arithmetic progression (AP): nth term, sum of n terms, arithmetic mean
- Geometric progression (GP): nth term, sum of n terms, geometric mean
- Harmonic progression (HP): nth term, sum of n terms, harmonic mean
10. Commerce Straight Lines- Introduction to coordinate geometry
- Slope-intercept form, point-slope form, two-point form of a straight line
- Intercepts, parallel lines, perpendicular lines
- Distance between two points
11. Commerce Circle, Parabola, Ellipse & Hyperbola- Introduction to conic sections: circle, parabola, ellipse, hyperbola
- Standard equations and properties of conic sections
12. Commerce Introduction to Three Dimensional Geometry- Coordinate axes and coordinate planes in three-dimensional space
- Distance between two points in space
- Section formula
- Direction ratios and direction cosines of a line
13. Commerce Limits and Derivatives- Introduction to limits and continuity
- Limits of algebraic functions
- Derivatives of algebraic functions
- Rules of differentiation
14. Commerce Mathematical Reasoning- Statements, logical connectives, compound statements
- Validating statements using different methods
- Contrapositive, converse, and inverse of a statement
15. Commerce Statistics- Introduction to statistics: collection and presentation of data
- Measures of central tendency: mean, median, mode
- Measures of dispersion: range, quartiles, mean deviation, variance, standard deviation
16. Commerce Probability- Introduction to probability: random experiments, sample space, events
- Classical probability, empirical probability, and axiomatic probability
- Addition and multiplication theorems of probability
17. Commerce Sample Papers with Solutions- Collection of sample papers for practice
- Solutions to sample papers for self-assessment
18. Commerce Past Year Papers- Collection of past year question papers
- Practice solving previous year papers for exam preparation
19. Commerce CBSE New Pattern: Term I Practice Questions- Practice questions based on the new pattern of CBSE Term I examination
20. Commerce CBSE New Pattern: Term II Practice Questions- Practice questions based on the new pattern of CBSE Term II examination
21. Commerce NCERT Exemplars- Reference book containing additional questions and solutions for practice
22. Commerce NCERT Textbook and NCERT Solutions- Recommended textbook for the Commerce Mathematics course
- Solutions to the exercises and problems in the NCERT textbook
23. Commerce Previous Year Questions (PYQs)- Collection of previous year questions for revision and practice
24. Commerce RD Sharma Solutions- Solutions to the exercises and problems in the RD Sharma textbook for further practice and reference.
This course is helpful for the following exams: Class 11, Commerce, Humanities/Arts, JEE