12th Standard Mathematics I Volume

D.Vasu Raj, 2018/10/04

This work book is prepared for Tamil Nadu State board students to enhance their learning.

目次

  1. Application of matrices
    1. Applications of Matrices and Determinants
    2. Application of matrices-problem
    3. Gaussian method of elimination
  2. Complex Numbers
    1. Introduction of imaginary number
    2. Geometrical Meaning
    3. Geometrical meaning-2
    4. Roots of unity
  3. Theory of equations
    1. Descartes rule Video Lesson
    2. Relation between roots and co-efficients
  4. Inverse trigonometric functions
    1. Graph of Inverse trigonometric functions
    2. Introduction video
    3. archsinx+archcosx
    4. real life example-video
  5. Analytical geometry-Conics
    1. Conic tracing
    2. Property-parabola
    3. Property-ellipse
    4. Property-Hyperbola
  6. Vector algebra II and Applications
    1. Scalar triple product
    2. Equation of a straight line
    3. Skew lines-observation
    4. Equation of a Sphere

1.

Application of matrices

  • 1. Applications of Matrices and Determinants
  • 2. Application of matrices-problem
  • 3. Gaussian method of elimination

1.1.

Applications of Matrices and Determinants

Planes
– D.Vasu Raj

1.2.

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1.3.

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2.

Complex Numbers

  • 1. Introduction of imaginary number
  • 2. Geometrical Meaning
  • 3. Geometrical meaning-2
  • 4. Roots of unity

2.1.

Introduction of imaginary number

What is imaginary number
Complex number basics
– D.Vasu Raj

2.2.

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2.3.

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2.4.

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3.

Theory of equations

  • 1. Descartes rule Video Lesson
  • 2. Relation between roots and co-efficients

3.1.

Descartes rule Video Lesson

Descartes Rule of Signs
– D.Vasu Raj

3.2.

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4.

Inverse trigonometric functions

  • 1. Graph of Inverse trigonometric functions
  • 2. Introduction video
  • 3. archsinx+archcosx
  • 4. real life example-video

4.1.

Graph of Inverse trigonometric functions

– D.Vasu Raj

4.2.

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4.3.

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4.4.

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5.

Analytical geometry-Conics

  • 1. Conic tracing
  • 2. Property-parabola
  • 3. Property-ellipse
  • 4. Property-Hyperbola

5.1.

Conic tracing

Tracing of a Parabola
Tracing of an ellipse
– D.Vasu Raj

5.2.

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5.3.

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5.4.

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6.

Vector algebra II and Applications

  • 1. Scalar triple product
  • 2. Equation of a straight line
  • 3. Skew lines-observation
  • 4. Equation of a Sphere

6.1.

Scalar triple product

Geometrical meaning-Scalar triple product
– D.Vasu Raj

6.2.

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6.3.

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6.4.

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