12th Standard Mathematics I Volume

D.Vasu Raj, Oct 4, 2018

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

Table of Contents

  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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