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Knowing the 12th Std Maths State Board Syllabus - English Medium will help students in studying in an organised way. Also, the question paper is designed in accordance with the Syllabus. If students study by following the syllabus, then they will easily score high marks in the exam.
Introduction - Inverse of a Non-Singular Square Matrix - Elementary Transformations of a Matrix - Applications of Matrices: Solving System of Linear Equations - Applications of Matrices: Consistency of system of linear equations by rank method.
Introduction - Complex Numbers - Basic Algebraic Properties of Complex Numbers -Conjugate of a Complex Number - Modulus of a Complex Number - Geometry and Locus of Complex Numbers - Polar and Euler form of a Complex Number - de Moivre’s Theorem and its Applications.
Introduction - Basics of Polynomial Equations - Vieta’s Formulae and Formation of Polynomial Equations - Nature of Roots and Nature of Coefficients of Polynomial Equations - Applications of Polynomial Equation in Geometry - Roots of Higher Degree Polynomial Equations - Polynomials with Additional Information - Polynomial Equations with no additional information - Descartes Rule.
Introduction - Some Fundamental Concepts - Sine Function and Inverse Sine Function -The Cosine Function and Inverse Cosine Function - The Tangent Function and the Inverse Tangent Function - The Cosecant Function and the Inverse Cosecant Function -The Secant Function and Inverse Secant Function - The Cotangent Function and the Inverse Cotangent Function - Principal Value of Inverse Trigonometric Functions -Properties of Inverse Trigonometric Functions.
Introduction - Circle - Conics - Conic Sections - Parametric form of Conics - Tangents and Normals to Conics - Real life Applications of Conics.
Introduction - Geometric Introduction to Vectors - Scalar Product and Vector Product -Scalar triple product - Vector triple product - Jacobi’s Identity and Lagrange’s Identity -Application of Vectors to 3-Dimensional Geometry - Different forms of Equation of a plane - Image of a point in a plane - Meeting point of a line and a plane.
Introduction - Meaning of Derivatives - Mean Value Theorem - Series Expansions -Indeterminate Forms - Applications of First Derivative - Applications of Second Derivative - Applications in Optimization - Symmetry and Asymptotes - Sketching of Curves.
Introduction - Linear Approximation and Differentials - Functions of Several Variables - Limit and Continuity of Functions of Two Variables - Partial Derivatives - Linear Approximation and Differential of a Function of Several Variables.
Introduction - Definite Integral as the Limit of a Sum - Fundamental Theorems of Integral Calculus and their Applications - Bernoulli’s Formula - Improper Integrals -Reduction Formulae - Gamma Integral - Evaluation of Bounded Plane Area by Integration - Volume of a Solid obtained by Revolving Area about an Axis.
Introduction - Differential Equation, Order, and Degree - Classification of Differential Equations - Formation of Differential Equations - Solution of Ordinary Differential Equations - Solution of First Order and First Degree Differential Equations - First Order Linear Differential Equations - Applications of First Order Ordinary Differential Equations.
Introduction - Random Variable - Types of Random Variable - Continuous Distributions -Mathematical Expectation - Theoretical Distributions: Some Special Discrete Distributions.
Introduction - Binary Operations - Mathematical Logic.
Classes handled by Revathi Mam, Who is an expert in the field of Mathematics having 8+ years of experience in teaching.
We provide Smart class based Classroom facility, thus makes learning more engaging with students understanding concepts better and retain them for longer.
Students are also provided with Recorded Sessions for each and every class they attend, with seperate ID created in their name in the CV ACADEMY Classes App, so that they will not miss any of the classes and can clear their doubts instantly or afterwards while making revisions.
Regular Tests are conducted daily and weekly to evaluate the students performance and make them to score full marks in Maths.
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