Best Maths Coaching in Amritsar
Veron Institute is a wellknown mathematics preparation institute. It has produced excellent results. It is one of the leading institutes in Amritsar that offers the Best Maths Coaching in Amritsar education and training. It provides students with uptodate study materials and improves their overall academic performance. It also provides expert guidance to students to help them develop their personalities.
Class 12 Maths Syllabus
Unit I: Relations and Functions
Chapter 1: Relations and Functions
 Types of relations −
 Reflexive
 Symmetric
 Transitive and equivalence relations
 One to one and onto functions
 Composite functions
 inverse of a function
 Binary operations
Chapter 2: Inverse Trigonometric Functions
 Definition, range, domain, principal value branch
 Graphs of inverse trigonometric functions
 Elementary properties of inverse trigonometric functions
Unit II: Algebra
Chapter 1: Matrices
 Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skewsymmetric matrices.
 Operation on matrices: Addition and multiplication and multiplication with a scalar
 Simple properties of addition, multiplication, and scalar multiplication
 Noncommutativity of multiplication of matrices and existence of nonzero matrices whose product is the zero matrix (restrict to square matrices of order 2)
 Concept of elementary row and column operations
 Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).
Chapter 2: Determinants
 Determinant of a square matrix (up to 3 × 3 matrices), properties of determinants, minors, cofactors, and applications of determinants in finding the area of a triangle
 Adjoint and inverse of a square matrix
 Consistency, inconsistency, and number of solutions of a system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using the inverse of a matrix
Unit III: Calculus
Chapter 1: Continuity and Differentiability
 Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions
 Concept of exponential and logarithmic functions.
 Derivatives of logarithmic and exponential functions
 Logarithmic differentiation, derivative of functions expressed in parametric forms. Secondorder derivatives
 Rolle's and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation
Chapter 2: Applications of Derivatives
 Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normal, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool)
 Simple problems (that illustrate basic principles and understanding of the subject as well as reallife situations)
Chapter 3: Integrals

Integration as inverse process of differentiation
 Integration of a variety of functions by substitution, by partial fractions, and by parts
 Evaluation of simple integrals of the following types and problems based on them
 Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof)
 Basic properties of definite integrals and evaluation of definite integrals
Chapter 4: Applications of the Integrals
 Applications in finding the area under simple curves, especially lines, circles/parabolas/ellipses (in standard form only)
 Area between any of the two abovesaid curves (the region should be clearly identifiable)
Chapter 5: Differential Equations
 Definition, order and degree, general and particular solutions of a differential equation
 Formation of differential equation whose general solution is given
 Solution of differential equations by method of separation of variables solutions of homogeneous differential equations of first order and first degree
 Solutions of linear differential equation
Unit IV: Vectors and ThreeDimensional Geometry
Chapter 1: Vectors
 Vectors and scalars, magnitude and direction of a vector
 Direction cosines and direction ratios of a vector
 Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio
 Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors, scalar triple product of vectors
Chapter 2: Three  dimensional Geometry
 Direction cosines and direction ratios of a line joining two points
 Cartesian equation and vector equation of a line, coplanar and skew lines, shortest distance between two lines
 Cartesian and vector equation of a plane
 Angle between −
 Two lines
 Two planes
 A line and a plane
 Distance of a point from a plane
Unit V: Linear Programming
Chapter 1: Linear Programming
 Introduction
 Related terminology such as −
 Constraints
 Objective function
 Optimization
 Different types of linear programming (L.P.) Problems
 Mathematical formulation of L.P. Problems
 Graphical method of solution for problems in two variables
 Feasible and infeasible regions (bounded and unbounded)
 Feasible and infeasible solutions
 Optimal feasible solutions (up to three nontrivial constraints)
Unit VI: Probability
Chapter 1: Probability
 Conditional probability
 Multiplication theorem on probability
 Independent events, total probability
 Baye's theorem
 Random variable and its probability distribution
 Mean and variance of random variable
 Repeated independent (Bernoulli) trials and Binomial distribution
Veron Institute in Amritsar is a unique and noteworthy institute that provides comprehensive training and guidance to applicants for Class 12 in mathematics. The training and education gathering begins in the morning and lasts until the evening. Our expert staff is aware of the methods of teaching that improve the capability of learning, and individual attention is paid to learners who require time to cope with the lessons. Because of our small batch size, we can give each student personalized attention.
For intelligent minds, making the most of the lessons they receive from the teachers at our institute is what allows them to face the exams with courage and conviction. They are a reputable Maths Coaching Institute in Amritsar, providing consistent and quality training in this subject for 12^{th} class students.
Why do students recommend Veron Amritsar as the Best Maths Coaching in Amritsar?
 We emphasize students learn math through reasoning rather than memorization.
 Visual tools help gain a thorough understanding of concepts.
 Learning on your own in the presence of a math expert who is present to assist you
 Individual attention is provided immediately to assist students in clarifying their doubts.