Online Tutor | ranjeet k.

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ranjeet kumar

Ranjeet k.

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B.tech @ Lovely professional university

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About me

I love playing cricket and watching Hollywood movie. Apart of study travelling is also my passion and want to travel USA


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Teaching Experience

Hii, I am Ranjeet Kumar. I love playing cricket and solving mathematics problems. I have completed by "B.tech" and specialized in Mechanical engineering. I having Six years teaching experience as I teach maths for grade IXth, Xth, XIth, XIIth and IIT JEE .I have work experienced with VIDYAMANDIR CLASSES ,AAKASH INSTITUTE and "UNACADEMY"the reputed institute of India. I taught more than thousand students who achieve great success in the career. I believe that education is only key to success in life. Now I am here to boost your mathematics problem solving skill at TUTOREYE (world fastest growing online platform). Don't think come and join me at TUTOREYE and buildup foundation of mathematics .I am sure you can learn a lot at TUTOREYE.

My Expertise

Top subjects

Trigonometry

Angle, measurement of angle(degree radian grade system). Trigonometric Identities ,Pythagoras rule, Formula derivation for trigonometric identities. sine ,cosine series whose angle are in A.P and G.P. solving for domain and range of trigonometric expression. Solving trigonometric equation. system of trigonometric equation ,and miscellaneous example . solution of triangle, height and distance and inverse trigonometry function.

Algebra Basics

Some basics concept .method to solve algebraic equation, inequality, square root function ,modulus function ,log function, solving algebraic inequalities and equation. graph sketching of some important function. (linear, exponential, log function circle, parabola ,ellipse ,hyperbola .........etc.

Algebra

Sequence and series, complex number, Quadratics expression and equation. permutation & combination. Binomial theorem. Principle of mathematical induction. determinant and matrices. sets theory.

Geometry

basic of coordinate geometry, Distance formula, section formula, Area of triangle, rotation of axes and shifting properties of coordinate. without rotation and with rotation of axes. Incentre, centroid. circumcenter and orthocenter of triangle. Locus of points. Straight line, circle, conic section,( parabola, ellipse , Hyperbola ...)

Probability and Statistics

Probability: Probability of events, multiplication theorems, addition theorems, Baye’s theorem, Bernoulli trials, Binomial distribution and probability distribution.

Differential Calculus

Real-valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity, and differentiability. Differentiation of the sum, difference, product, and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two. Rolle’s and Lagrange’s Mean Value Theorems. Applications of derivatives: Rate of change of quantities, monotonic increasing and decreasing functions, Maxima, and minima of functions of one variable, tangents, and normals.

Integral Calculus

Integral as an antiderivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts, and by partial fractions. Integration using trigonometric identities. Integral as limit of a sum. Evaluation of simple integrals: JEE Main Maths Syllabus 2021 Fundamental Theorem of Calculus. Properties of definite integrals, evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.

Arithmetic

Arithmetic and Geometric progressions, insertion of arithmetic. Geometric means between two given numbers. The relation between A.M. and G.M. Sum up to n terms of special series: Sn, Sn2, Sn3. Arithmetic Geometric progression.

Basic Geometry

basic of coordinate geometry, Distance formula, section formula, Area of triangle, rotation of axes and shifting properties of coordinate. without rotation and with rotation of axes. Incentre, centroid. circumcenter and orthocenter of triangle. Locus of points.

Basic Statistics

Measures of Dispersion: Calculation of mean, mode, median, variance, standard deviation, and mean deviation of ungrouped and grouped data.

Differential Equation

Ordinary differential equations, their order, and degree. Formation of differential equations. The solution of differential equations by the method of separation of variables. The solution of homogeneous and linear differential equations of the type: JEE Main Maths Syllabus 2019

Matrix Algebra

Matrices: Algebra of matrices, types of matrices, and matrices of order two and three. Determinants: Properties of determinants, evaluation of determinants, the area of triangles using determinants. Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations. Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices

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