Tamil Nadu Board of Secondary EducationHSC Science Class 12th

# Mathematics Class 12th HSC Science Tamil Nadu Board of Secondary Education Topics and Syllabus

Tamil Nadu Board of Secondary Education Syllabus For Class 12th Mathematics: Knowing the Syllabus is very important for the students of Class 12th. Shaalaa has also provided a list of topics that every student needs to understand.

The Tamil Nadu Board of Secondary Education Class 12th Mathematics syllabus for the academic year 2022-2023 is based on the Board's guidelines. Students should read the Class 12th Mathematics Syllabus to learn about the subject's subjects and subtopics.

Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the Tamil Nadu Board of Secondary Education Class 12th Mathematics Syllabus pdf 2022-2023. They will also receive a complete practical syllabus for Class 12th Mathematics in addition to this.

## Tamil Nadu Board of Secondary Education Class 12th Mathematics Revised Syllabus

Tamil Nadu Board of Secondary Education Class 12th Mathematics and their Unit wise marks distribution

## Syllabus

1 Applications of Matrices and Determinants
2 Complex Numbers
3 Theory of Equations
4 Inverse Trigonometric Functions
5 Two Dimensional Analytical Geometry-II
• Two Dimensional Analytical Geometry-II
• Circles

3.4.1 The equation of a circle when the centre and radius are given

3.4.2 Equation of a circle when the end points of a diameter are given

3.4.3 General equation of a circle

3.4.4 Parametric form of a circle

3.4.5 Tangents

• Length of the tangent to the circle
• Conics

3.5.1 Parabola

3.5.2 Definitions regarding a parabola: y2 = 4ax

3.5.3 Other standard parabolas

3.5.4 General form of the standard equation of a parabola, which is open rightward

• Conic Sections
• Geometric description of conic section
• Degenerate Forms
•  Identifying the conics from the general equation of the conic
• Parametric Form of Conics
• Parametric equations
• Tangents and Normals to Conics
•  Equation of tangent and normal to the parabola y2=4ax
• Equations of tangent and normal to Ellipse and Hyperbola
• Condition for the line y=mx+c to be a tangent to the conic sections
• Real Life Applications of Conics
• Parabola
• Ellipse
• Hyperbola
• Reflective property of parabola
• Reflective Property of an Ellipse
• Reflective Property of a Hyperbola
6 Applications of Vector Algebra
7 Applications of Differential Calculus
8 Differentials and Partial Derivatives
9 Applications of Integration
10 Ordinary Differential Equations
11 Probability Distributions
• Introduction to Probability Distributions
• Random Variable
• Definition of a random variable
• Types of Random Variable
• Discrete random variable
• Continuous random variable
• Types of Random Variables
• Discrete random variable
• Continuous random variable
• Probability Mass Function
• Cumulative Distribution Function or Distribution Function
• Cumulative Distribution Function from Probability Mass function
• Probability Mass Function from Cumulative Distribution Function
• Continuous Distributions
• The definition of continuous random variables
• Probability density function
• Distribution function (Cumulative distribution function)
• Distribution function from Probability density function
• Probability density function from Probability distribution function
• Mathematical Expectation
• Mean
• Variance
• Expected value and Variance
• Properties of Mathematical expectation
• Theoretical Distributions: Some Special Discrete Distributions
• The One point distribution
• The Two point distribution
• The Bernoulli distribution
• The Binomial Distribution
12 Discrete Mathematics