Since July 2021
Instructor since July 2021
Co-ordinate geometry:- Cartesian coordinate system,
From 22.09 £ /h
I can provide you classes from the basic levels to advance levels of all these topics listed above (see heading). Students need not be panic. Mathematics is very easy to learn. I will teach you with good examples
Nowadays, mathematics is used as interdisciplinary in various other fields like physics, biology, and so on.
Cartesian coordinate system includes:-
Cartesian coordinate system:- distance between two points, area of triangle, section formulae, terms related to triangle, translation of axes, rotation of axes. Straight lines :- slope of a line, angle between two lines, different forms of equation of a line, point-slope form, distance form, position of points relative to a line, intersection of lines, lines parallel and perpendicular to a given line, distance of a point from a line, area of a parallelogram, Inge of a point with respect to line, equations of a straight lines passing through a point and making a angle with a given line, lines through the intersection of two lines, equations of the bisectors, acute and obtuse angle bisectors, locus and its equation. pair of straight lines:-joint equation of a pair of straight lines, angle between the pair of lines, general equation of second degree, lines joining the origin to the points of intersection of a line and a curve. Circle:- standard equation of a circle, particular cases of central form, general equation of a circle,circle passing through three points, diameter of a circle, interception of the axes, position of point with respect to a circle, equation of a circle in a parametric form, intersection of a line and circle, tangent to a circle, normal to a circle, pair of tangents, length of tangents, director circle, chord of contact, chord bisected at a given point, pole and polar, common tangents of two circles, common chord, angle of intersection of two circles, radical axis, family of circles, co axial system of circles. Parbola:- conic sections, analytical definition, general equation of a conic, parabola in its standard form, other standard forms of parabola, terms related to parabola, parametric equations of a parabola, point and parabola, parametric equations of a chord, a line and a parabola, equation of tangent, results on tangents, common tangents, angle intersection of two curves, normals, results on normals, number of normals and conormal points, pair of tangents, chord of contact, chord. Bisected at a given point, diameter, pole and polar, length of tangent, sub-tangent, normal and sub normal. Ellipse:- definition, standard form of ellipse, terms related to ellipse, other forms of ellipse, equation of ellipse referred to two perpendicular line as axes, parametric co ordinates and equations, equation of chord, a line and an ellipse, tangent, pair of tangents and their chord of contact, director of circle, normal, number of normals and conormal points, chord bisected at a given points, pole and polar, diameter and its equation, conjugate diameter and its properties. Hyperbola:- standard equation of the hyperbola, conjugate of hyperbola, parametric co ordinates, position of a point with respect to a hyperbola, intersection of a line and a hyperbola, tangent to a hyperbola, number of tangents, normals to a hyperbola, number of normals drawn from a point, pair of tangents and their chord of contact, chord bisected at a given point, pole and polar, diameter and its equation, asymptotes, rectangular hyperbolaand its properties, tangent to a rectangular hyperbola), results on rectangular hyperbola.
Nowadays, mathematics is used as interdisciplinary in various other fields like physics, biology, and so on.
Cartesian coordinate system includes:-
Cartesian coordinate system:- distance between two points, area of triangle, section formulae, terms related to triangle, translation of axes, rotation of axes. Straight lines :- slope of a line, angle between two lines, different forms of equation of a line, point-slope form, distance form, position of points relative to a line, intersection of lines, lines parallel and perpendicular to a given line, distance of a point from a line, area of a parallelogram, Inge of a point with respect to line, equations of a straight lines passing through a point and making a angle with a given line, lines through the intersection of two lines, equations of the bisectors, acute and obtuse angle bisectors, locus and its equation. pair of straight lines:-joint equation of a pair of straight lines, angle between the pair of lines, general equation of second degree, lines joining the origin to the points of intersection of a line and a curve. Circle:- standard equation of a circle, particular cases of central form, general equation of a circle,circle passing through three points, diameter of a circle, interception of the axes, position of point with respect to a circle, equation of a circle in a parametric form, intersection of a line and circle, tangent to a circle, normal to a circle, pair of tangents, length of tangents, director circle, chord of contact, chord bisected at a given point, pole and polar, common tangents of two circles, common chord, angle of intersection of two circles, radical axis, family of circles, co axial system of circles. Parbola:- conic sections, analytical definition, general equation of a conic, parabola in its standard form, other standard forms of parabola, terms related to parabola, parametric equations of a parabola, point and parabola, parametric equations of a chord, a line and a parabola, equation of tangent, results on tangents, common tangents, angle intersection of two curves, normals, results on normals, number of normals and conormal points, pair of tangents, chord of contact, chord. Bisected at a given point, diameter, pole and polar, length of tangent, sub-tangent, normal and sub normal. Ellipse:- definition, standard form of ellipse, terms related to ellipse, other forms of ellipse, equation of ellipse referred to two perpendicular line as axes, parametric co ordinates and equations, equation of chord, a line and an ellipse, tangent, pair of tangents and their chord of contact, director of circle, normal, number of normals and conormal points, chord bisected at a given points, pole and polar, diameter and its equation, conjugate diameter and its properties. Hyperbola:- standard equation of the hyperbola, conjugate of hyperbola, parametric co ordinates, position of a point with respect to a hyperbola, intersection of a line and a hyperbola, tangent to a hyperbola, number of tangents, normals to a hyperbola, number of normals drawn from a point, pair of tangents and their chord of contact, chord bisected at a given point, pole and polar, diameter and its equation, asymptotes, rectangular hyperbolaand its properties, tangent to a rectangular hyperbola), results on rectangular hyperbola.
Location
Online from India
About Me
I am a resident of Kerala, India. I have been a part-time tutor for the last 5 years. I had taught Mathematics at various private institutes in order to help the students to perform well in highly competitive examinations. I have taken classes for IIT aspirants in Kerala for both JEE main and Jee advance examinations. Apart from that, I had taught students from both higher secondary and secondary level. Earlier, I had cleared all India IIT JEE mains and IIT JEE advance examination with 90/120 and 132/168 respectively in Mathematics (2015).
Recently, I received offer letters from University of Manchester, University of Birmingham, Heriot- watt university, and University of liverpool for pursuing MSc applied Mathematics with a partial funded scholarship. I have also been offered an admission to famous Joint MSc InterMaths Math-Mod programme for pursuing Masters in Mathematical modelling with a fully funded scholarship. This Program is jointly offered by three European reputed Universities and the programme is supported by European Union.
I have been granted an adfmission to the famous Inter Maths 2 year Erasmus Mundus joint master degree interdisciplinary Mathematics programme with a fully funded scholarship. This program is jointly offered by 5 reputed European reputed Universities and the programme is supported by European Union.
I have been granted admission to Inter Maths double degree MSc program in Applied Mathematics along with fully funded scholarship. This program is jointly offered by two European reputed universities.
Earlier, I was admitted to University of Texas Rio Grande Valley, USA for MS Mathematics and was awarded a graduate teaching assistantship along with deans graduate assistantship for the Fall semester 2020. But I dropped the offer due to the
outbreak of Covid-19.
I was previously selected for 3-months summer internship program at IST Austria in 2020 under the supervision Mr Marco Mondelli. However, the program was cancelled due to the outbreak of Covid-19. My aim was to work on a short project titled "Polar codes under a fuzzy environment". The admission to
this program was mainly based on the previous literature review written by me regarding the Polar codes.
I have also presented a research paper in the Fuzzy Mathematical Analysis and Advances in computational Mathematics (FMAACM 2021) international seminar. The seminar was conducted by Pondicherry University in ally with DST india, UGC-SAP india, MOST Israel, Indo-Israel joint project, Soft Computing journal (springer), and book series "studies in fuzziness and soft computing" (springer nature). My paper is going to be published in this reputed book series. Apart from that, I had completed seven research papers/articles and I have already
submitted six research articles/papers to various reputed international
journals and seminars/conferences.
I have started the work on another research paper titled "A new
arithmetic operators on Fuzzy Matrices". This research paper is about to
be completed with in three months.
Recently, I received offer letters from University of Manchester, University of Birmingham, Heriot- watt university, and University of liverpool for pursuing MSc applied Mathematics with a partial funded scholarship. I have also been offered an admission to famous Joint MSc InterMaths Math-Mod programme for pursuing Masters in Mathematical modelling with a fully funded scholarship. This Program is jointly offered by three European reputed Universities and the programme is supported by European Union.
I have been granted an adfmission to the famous Inter Maths 2 year Erasmus Mundus joint master degree interdisciplinary Mathematics programme with a fully funded scholarship. This program is jointly offered by 5 reputed European reputed Universities and the programme is supported by European Union.
I have been granted admission to Inter Maths double degree MSc program in Applied Mathematics along with fully funded scholarship. This program is jointly offered by two European reputed universities.
Earlier, I was admitted to University of Texas Rio Grande Valley, USA for MS Mathematics and was awarded a graduate teaching assistantship along with deans graduate assistantship for the Fall semester 2020. But I dropped the offer due to the
outbreak of Covid-19.
I was previously selected for 3-months summer internship program at IST Austria in 2020 under the supervision Mr Marco Mondelli. However, the program was cancelled due to the outbreak of Covid-19. My aim was to work on a short project titled "Polar codes under a fuzzy environment". The admission to
this program was mainly based on the previous literature review written by me regarding the Polar codes.
I have also presented a research paper in the Fuzzy Mathematical Analysis and Advances in computational Mathematics (FMAACM 2021) international seminar. The seminar was conducted by Pondicherry University in ally with DST india, UGC-SAP india, MOST Israel, Indo-Israel joint project, Soft Computing journal (springer), and book series "studies in fuzziness and soft computing" (springer nature). My paper is going to be published in this reputed book series. Apart from that, I had completed seven research papers/articles and I have already
submitted six research articles/papers to various reputed international
journals and seminars/conferences.
I have started the work on another research paper titled "A new
arithmetic operators on Fuzzy Matrices". This research paper is about to
be completed with in three months.
Education
I completed 5 year Integrated BSc-MSc from Pondicherry university, India. Recently, I got offer letters from various universities in UK. I planning to join Heriot-Watt university for MSc Applied Mathematics.
Experience / Qualifications
I have been a part time mathematics tutor for the last 5 years. I have taught students both in online and offline modes.
Age
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
The class is taught in
English
Skills
Availability of a typical week
(GMT -05:00)
New York
Online via webcam
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
I can provide you classes from the basic levels to advance levels of all these topics listed above (see heading). Students need not be panic. Mathematics is very easy to learn. I will teach you with good examples
Nowadays, mathematics is used as interdisciplinary in various other fields like physics, biology, and so on.
Vectors and 3-d geometry includes :-
Algebra of vectors:- representation of vectors, types of vectors, algebra vectors, position vector, section formula, collinear and non collinear vectors, collinear points, components of vector, coplanarity, linear independence and dependence, vector along bisector. Scalar and vector products of two vectors :- the scalar or dot product and its properties, angle between two vectors, applications, tetrahedron, vector or cross product and its properties, applications, area of quadrilateral, moment of a force, moment of a couple. Scalar and vector products of three vectors:- scalar triple product and its properties, applications, volume of tetrahedron, vector triple product and its properties, applications, reciprocal system of vectors, solutions of vector equations. 3d coordinate system:- co ordinates of a point in space, signs of co ordinates of a point, distance formula, section formulae, direction cosines and direction ratios, angle between two lines. Plain and straight line in space:- plane, intercept form of a plane, vector equation of a plane, equation of a plane in a Normal form, equation of a plane in a parametric form, plane parallel to a given plane, straight line, reduction from unsymmetrical form to a symmetrical form, angle between two lines, plane through intersection of two planes, distance of a point from a plane, planes bisecting the angles between two given planes, distance of a point from a line, image of a point in a plane, reflection or image of a point in a straight line, shortest distance between two straight lines and two skew lines, angle between a plain and a line , condition of a line to lie in a plane, coplanarity if two lines.
Nowadays, mathematics is used as interdisciplinary in various other fields like physics, biology, and so on.
Vectors and 3-d geometry includes :-
Algebra of vectors:- representation of vectors, types of vectors, algebra vectors, position vector, section formula, collinear and non collinear vectors, collinear points, components of vector, coplanarity, linear independence and dependence, vector along bisector. Scalar and vector products of two vectors :- the scalar or dot product and its properties, angle between two vectors, applications, tetrahedron, vector or cross product and its properties, applications, area of quadrilateral, moment of a force, moment of a couple. Scalar and vector products of three vectors:- scalar triple product and its properties, applications, volume of tetrahedron, vector triple product and its properties, applications, reciprocal system of vectors, solutions of vector equations. 3d coordinate system:- co ordinates of a point in space, signs of co ordinates of a point, distance formula, section formulae, direction cosines and direction ratios, angle between two lines. Plain and straight line in space:- plane, intercept form of a plane, vector equation of a plane, equation of a plane in a Normal form, equation of a plane in a parametric form, plane parallel to a given plane, straight line, reduction from unsymmetrical form to a symmetrical form, angle between two lines, plane through intersection of two planes, distance of a point from a plane, planes bisecting the angles between two given planes, distance of a point from a line, image of a point in a plane, reflection or image of a point in a straight line, shortest distance between two straight lines and two skew lines, angle between a plain and a line , condition of a line to lie in a plane, coplanarity if two lines.
I can provide you classes from the basic levels to advance levels of all these topics listed above (see heading). Students need not be panic. Mathematics is very easy to learn. I will teach you with good examples
Nowadays, mathematics is used as interdisciplinary in various other fields like physics, biology, and so on.
Sequence and series includes:- arithmetic profession, geometric progession, harmonic progession, arithmetico- geometric sequence, sum to n terms of some special series , summation of some special series. Quadratic expressions and equations includes :- real polynomial, complex polynomial, degrees of a polynomial, polynomial equation, roots of an equation, position of roots of a polynomial equation, descarte's rule of signs, relation between roots and coefficients, formation of a polynomial equation, transformation of equation, roots of a quadratic equation with real coefficients, quadratic expression and its graph, position of roots of a quadratic equation, common roots, maximum and minimum value of a rational expression, condition for resolution of a quadratic function into linear factors, algebraic interpretation of rolle's theorem. Matrix includes:- types of matrices, algebra of matrices, properties of matrices, transpose of a matrix, determinant of a square matrix, adjoint of a matrix, inverse of a matrix, orthogonal matrix, rank of a matrix, system of simultaneous linear equations. Determinant includes:- determinant, minors and cofactors, properties of determinant, product of determinant, differentiation of determinant, application of determinant, system of linear equations.
Nowadays, mathematics is used as interdisciplinary in various other fields like physics, biology, and so on.
Sequence and series includes:- arithmetic profession, geometric progession, harmonic progession, arithmetico- geometric sequence, sum to n terms of some special series , summation of some special series. Quadratic expressions and equations includes :- real polynomial, complex polynomial, degrees of a polynomial, polynomial equation, roots of an equation, position of roots of a polynomial equation, descarte's rule of signs, relation between roots and coefficients, formation of a polynomial equation, transformation of equation, roots of a quadratic equation with real coefficients, quadratic expression and its graph, position of roots of a quadratic equation, common roots, maximum and minimum value of a rational expression, condition for resolution of a quadratic function into linear factors, algebraic interpretation of rolle's theorem. Matrix includes:- types of matrices, algebra of matrices, properties of matrices, transpose of a matrix, determinant of a square matrix, adjoint of a matrix, inverse of a matrix, orthogonal matrix, rank of a matrix, system of simultaneous linear equations. Determinant includes:- determinant, minors and cofactors, properties of determinant, product of determinant, differentiation of determinant, application of determinant, system of linear equations.
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