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MAT · NCERT

Mathematics

Sets, calculus, vectors, probability — the toolkit behind every model.

Grade
0/13 done
01

Relations & Functions

Types of relations · Types of functions · Composition · Invertible functions

Roadmap Notes + PYQ E · M · H quizzes 3–5 day plan
02

Inverse Trigonometric Functions

Principal value · Properties · Graphs · Equations

Roadmap Notes + PYQ E · M · H quizzes 3–5 day plan
03

Matrices

Types · Operations · Transpose · Symmetric & skew-symmetric

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04

Determinants

Properties · Minors & cofactors · Inverse of matrix · System of equations

Roadmap Notes + PYQ E · M · H quizzes 3–5 day plan
05

Continuity & Differentiability

Continuity · Differentiability · Chain rule · Logarithmic differentiation

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06

Application of Derivatives

Rate of change · Tangents & normals · Maxima & minima · Approximations

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07

Integrals

Indefinite integrals · Methods · Definite integrals · Properties

Roadmap Notes + PYQ E · M · H quizzes 3–5 day plan
08

Application of Integrals

Area under curves · Area between two curves · Standard regions

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09

Differential Equations

Order & degree · Variables separable · Homogeneous · Linear DE

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10

Vector Algebra

Types · Addition · Dot product · Cross product

Roadmap Notes + PYQ E · M · H quizzes 3–5 day plan
11

Three Dimensional Geometry

Direction cosines · Lines in space · Planes · Shortest distance

Roadmap Notes + PYQ E · M · H quizzes 3–5 day plan
12

Linear Programming

LPP formulation · Graphical method · Feasible region · Optimal solution

Roadmap Notes + PYQ E · M · H quizzes 3–5 day plan
13

Probability

Conditional probability · Bayes' theorem · Random variables · Bernoulli & Binomial

Roadmap Notes + PYQ E · M · H quizzes 3–5 day plan