REVISED TAMILNADU STATE BOARD CLASS12 MATHS SYLLABUS 2021-2022

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TAMILNADU STATE BOARD

CLASS – XII

MATHS SYLLABUS

2021-2022



CHAPTER-WISE

CHAPTER NUMBER CHAPTER NAME TOPICS
CHAPTER 1 Applications of Matrices and Determinants   

  •  Adjoint
  • Inverse
  • The rank of a Matrix

 

CHAPTER 2 Vector Algebra   

  • Scalar Product
  • Vector Product
  • Product of three vectors
  • Skew lines
  • Planes
  • Sphere

 

CHAPTER 3 Complex Numbers   

  • Conjugate
  • Modulus
  • Roots of a complex number

 

CHAPTER 4 Analytical Geometry   

  • Definition of a Conic
  • Parabola
  • Ellipse
  • Hyperbola
  • Tangents and Normals
  • Parametric form
  • Asymptotes
  • Rectangular hyperbola

 

CHAPTER 5  

Differential Calculus – Applications I 

 

  • Derivative as a rate measure
  • Mean value theorem

 

CHAPTER 6 Differential Calculus – Applications II   

  • Errors and approximations
  • Euler’s theorem

 

CHAPTER 7 Integral Calculus and Its Applications  

entire unit

 

CHAPTER 8

Differential Equations
 

entire unit

 

CHAPTER 9 Discrete Mathematics   

  • Mathematical Logic
  • Logical statements
  • connectives
  • truth tables
  • Tautologies

 

CHAPTER 10
Groups  

  • Binary Operations
  • Semigroups 
  • monoids
  • groups

 

CHAPTER 11
Probability Distributions   

  • Random Variable
  • Probability density function
  • distribution function
  • mathematical expectation,
  • variance
  • Discrete Distributions 
  • Binomial
  • Poisson
  • Continuous Distribution
  • Normal distribution

 



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