Best Maths Coaching in Amritsar

Veron Institute is a well-known 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 up-to-date 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 skew-symmetric 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 non-zero 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, co-factors, 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. Second-order 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 real-life 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 above-said 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 Three-Dimensional 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 non-trivial 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.