CBSE • 2026–27

Class 12 Mathematics Syllabus, Chapters & Solved Examples

Relations/functions, algebra, calculus, vectors/3D geometry, linear programming and probability.

Chapter-wise learning

Class 12 Mathematics chapters

Aligned to CBSE Class XII Mathematics 2026–27.

Relation properties and mappings

Principal values and graphs

Operations and inverses

Minors, cofactors and systems

Continuity, chain rule and higher derivatives

Rates, monotonicity, maxima/minima

Indefinite and definite integration

Areas under curves

First-order equations

Dot/cross products and geometry

Lines and spatial relationships

Graphical optimization

Conditional probability and Bayes theorem

Expert process

Start with a short concept check so the tutor knows exactly what the learner understands and where the gaps are.

Build the idea with diagrams, analogies, worked reasoning and real-life context before asking the learner to memorise a rule.

Tutor solves one model problem, then the learner solves a similar problem with progressively less help.

Use short recall checks, mixed questions, board-style applications and error correction rather than passive rereading.

Track weak concepts, homework accuracy and test performance, then adjust the next session around evidence.