Class 12 Mathematics
NCERT Mathematics, Textbook for Class XII, Part I (2022 rationalised revision, Reprint 2026-27)
13 chapters · 102 topics
Mathematics, Part I
01 Relations and Functions 8 topics · 2 h 02 Inverse Trigonometric Functions 6 topics · 1 h 03 Matrices 10 topics · 2 h 04 Determinants 9 topics · 2 h 05 Continuity and Differentiability 10 topics · 2 h 06 Application of Derivatives 9 topics · 2 hMathematics, Part II
07 Integrals 13 topics · 3 h 08 Application of Integrals 4 topics · 54 min 09 Differential Equations 7 topics · 2 h 10 Vector Algebra 10 topics · 2 h 11 Three Dimensional Geometry 5 topics · 1 h 12 Linear Programming 4 topics · 56 min 13 Probability 7 topics · 1 hWhat Class 12 Mathematics covers
One thing each chapter sets out to make you able to do, in the order the book teaches them.
- State the chapter's definition of a relation carried by one set, and apply it as a membership test on a stated pairCh 1Relations and Functions
- State the criterion the previous chapter fixed for a function to have an inverse, and apply it as a two-part testCh 2Inverse Trigonometric Functions
- Explain what an arrangement records that a plain list of the same numbers does notCh 3Matrices
- State what a determinant is: a rule that takes a square array and returns one number, and does not accept anything elseCh 4Determinants
- Split Definition 1 into its three separate demands and say which one a given function failsCh 5Continuity and Differentiability
- Read a derivative aloud as a statement about two named quantities rather than as a computationCh 6Application of Derivatives
- State the question integral calculus is set up to answer, in terms of a given derivative and an unknown functionCh 7Integrals
- Say what elementary geometry can measure and where it stops, and name the boundary that forces integrationCh 8Application of Integrals
- Decide, for a given equation, whether a derivative of the unknown appears in it, and classify the equation accordinglyCh 9Differential Equations
- Separate a measurement that is complete once a number and a unit are given from one that is not complete until a direction is addedCh 10Vector Algebra
- Draw a directed line through the origin and mark the three angles it makes with the positive axesCh 11Three Dimensional Geometry
- Name the larger family a linear programming problem belongs to, and say what membership of that family requiresCh 12Linear Programming
- Describe in one sentence what being told that an event has happened does to the list of outcomes still in playCh 13Probability
Where students most often slip up
Sentences students actually say, one from each chapter, taken from the notes the videos were made from.
- "A relation has to mean something."Ch 1Relations and Functions
- "The trigonometric functions have no inverse, full stop."Ch 2Inverse Trigonometric Functions
- "Order means columns by rows, or it does not matter which."Ch 3Matrices
- "The bars mean absolute value, so a determinant is never negative."Ch 4Determinants
- "Continuous means you can draw it without lifting the pen."Ch 5Continuity and Differentiability
- "A rate always means per second."Ch 6Application of Derivatives
- "The constant is a formality you tack on at the end."Ch 7Integrals
- "The strips are actually rectangles, so the answer is approximate."Ch 8Application of Integrals
- "A differential equation is any equation with a d in it."Ch 9Differential Equations
- "A vector is a quantity that has a direction, so anything with a direction is a vector."Ch 10Vector Algebra
- "The three direction angles are independent, so I can pick any three."Ch 11Three Dimensional Geometry
- "Programming means writing a computer program."Ch 12Linear Programming
- "Conditioning changes the coins."Ch 13Probability