Algebra2:- Mathematical induction, binomial theory and its applications, exponential and logarithmic series

From 29.11 $ /h

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.

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

Math

Algebra

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

Vectors and 3-D geometry 1:- algebra of vectors, scalar and vector products, 3-d co-ordinate system, plain and straight line in space

29.11 $ /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.
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.

Algebra3:- sequence and series, quadratic expression & equations, matrices, determinants,

29.11 $ /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.
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.

Benoit

5.0

(40)

I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.

Raef

5.0

(40)

Experienced over 18 years, I give private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Chemistry - Biology, Geology to students of French or international program (in English) of Terminales, Bac, 1ère, Second, Brevet, competitions and medical university preparatory classes or 1st and 2nd university year either at home or by internet online by virtual class method of specific shared interactive whiteboard.
Help with CNED homework.
For more information, do not hesitate to contact me, guaranteed response in a few minutes up to 10 hours maximum.

Amin

5.0

(40)

This course aims to provide you with the knowledge and tools needed to better understand and master mathematics and physics. We offer personalized support to students of all specialties.

Sessions can be tailored to your specific needs, whether you are alone or in a group. We adjust the sessions according to your level and expectations.

Please do not hesitate to contact us if you have any questions.

Bibek

5.0

(40)

Hi! Welcome! I am a Ph.D. researcher in Physics at the University of Cologne, Germany. Recently, I graduated from the University of Groningen in the Netherlands with a Master's degree in Nanoscience (w/ cum Laude). I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concepts and excel in your studies. I have teaching experience of 5+ years in Physics and Mathematics to both high school and university-level students.

This class aims to provide an overview of calculus and linear algebra and focuses on the fundamental mathematical tools and concepts, such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to optimization, linear differential equations, and matrix algebra.

Outline of the course:
1. Calculus:
1.1 Limits of functions
1.2 Continuity, types of discontinuities, intermediate value theorem
1.3 Differentiation (or derivative), slope, secant, tangent
1.4 Rules and theorems for differentiation, power rule, product rule, chain rule
1.5 Derivatives of exp, log, and trigonometric functions
1.6 Implicit differentiation and derivative of inverse functions
1.7 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function
1.8 First and second derivative tests, inflection points
1.9 Anti-derivative, indefinite integral, integration by substitution, integration by parts
1.10 Definite integral and its application (area between curves, application in physics)\
1.11 Optimization and linear differential equations

2. Linear Algebra:
2.1 Vectors and scalars in Euclidean space, vector arithmetic, scalar product, cross product
2.2 Equations for lines and planes, vector spaces, linear independence, span, basis, dimension
2.3 Linear transformations, coordinates, and representation of linear transformations by matrices
2.4 Matrix operations: matrix multiplication, transpose, determinant, inverse, and Hermitian conjugate
2.5 Systems of linear equations, Gaussian elimination
2.6 Eigenvalues and eigenvectors
2.7 Range, kernel, and rank-nullity theorem

and many more...

*Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).

Mohamed

5.0

(40)

Certified teacher, holding a Master's degree in Mathematics, with over 13 years of experience in teaching and academic support.

I offer 100% online math courses, specializing in:

Final year of high school, specializing in Mathematics

Expert Maths

First Year Mathematics Speciality

NSI (Digital Technology and Computer Science – Mathematical Part)

General Baccalaureate preparation (written exam & continuous assessment)

French Mission (AEFE program)

Intensive refresher course

Math Sup / Scientific Preparatory Class (1st year)

🎯 Goal: rapid progress and visible results

My support is structured to:

✔ Improve grades from the very first weeks
✔ Master the problem-solving methods perfectly
✔ Ability to analyze and understand instructions
✔ Write with rigor (Baccalaureate criteria)
✔ Gain confidence and autonomy

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📚 Working method

Unlike traditional courses where an explanation is given followed by a single exercise, I propose:

Clear and structured explanation

Progressive exercise series

Intensive Baccalaureate-type training

Detailed correction of the reasoning

Unit verification and conversions

Work on common mistakes

📌 Regular training is essential to succeed in the Baccalaureate, especially with frequent assessments.

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💻 Course organization

Interactive distance learning courses (digital whiteboard)

Personalized follow-up

Sending targeted exercises

Preparation for tests and exams

I recommend weekly follow-up (2 hours/week) to ensure solid and lasting progress.

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🚀 Results

Students who are regularly monitored observe:

A marked improvement in their average

A better understanding of complex concepts

Effective preparation for the Baccalaureate exams

Greater peace of mind when facing exams.

Baia

5.0

(40)

Struggling with school math or aiming for exam excellence? In this class, I make complex topics simple, clear, and even enjoyable. From middle school to university level math, I adapt to every student's level and mindset. Whether it's building strong foundations or mastering advanced concepts, you or your child will walk away feeling confident, capable, and ready to shine.

✨ Personalised approach
📚 Clear explanations + real understanding
🏆 Proven results in IB, OMPT, VWO & more

Let’s turn “I don’t get it” into “I’ve got this!”
Book the first session and see the difference.

Rania

5.0

(40)

The SAT exam is one of the major steps you need to go through in your life; it's a step that is going to determine your college, your university, and your future as a whole. As with a lot of things in life, it can be a hard step, and there is no shame in asking for help. Here comes my role: I will help you overcome your problems and your difficulties. My job here is to help you achieve your desired results and unlock your potential. Simply put, we will go through every lesson, every unit, and every chapter. We will understand the concept of each lesson, with clear examples to follow. After each one, you will be tested, and after finishing your program, you will be tested on it. That's my plan for my students, so if you are interested, you can easily contact me.

Dorcas

5.0

(40)

Passionate and dedicated teacher with five years of experience fostering an engaging and inclusive learning environment. I'm committed to promoting student success through personalized instruction, differentiated learning strategies, and active student engagement. Proven track record of implementing innovative teaching methods and achieving measurable improvements in student academic performance.
I offer home tution services for igcse and other curricular.
I tutor learners in both lower and upper grades English, Maths and Science and other subjects if the need be.
Duration per session is an hour and above.

Prashil

5.0

(40)

Welcome to my Maths, Physics and Science tutoring class, crafted especially for young minds preparing for IB MYP, IGCSE, and GCSE exams. As a passionate learner and dedicated tutor, I am committed to helping students not only comprehend but also develop a love for these captivating subjects. Here's what you can anticipate from my tutoring sessions

Personalised Learning: Every learner is unique, and I believe in tailoring my teaching methods to suit each student's individual needs. I don't judge; instead, I concentrate on understanding their strengths and areas for improvement to create a supportive and encouraging learning environment.

Concept Breakdown: I dissect complex topics into simpler, more manageable parts, making it easier for students to grasp challenging concepts and build a strong foundation in Physics and Science.

Student-Centred Approach: I enjoy teaching students and continually strive to ignite their curiosity and passion for learning. I aim to make each lesson engaging and enjoyable, helping students recognise the real-world applications of what they learn.

Shared Strategies: As a student who has successfully qualified for the Engineering Entrance exam test and is currently studying abroad on a fully funded scholarship, I bring my own learning strategies and study techniques to the table. These proven methods will help students achieve their academic goals.

Continuous Improvement: I am always learning and growing, just like my students. This continuous improvement mindset, which I actively promote, inspires and motivates students to strive for their best. It enables me to stay updated with the latest educational trends and techniques, ensuring that my students receive the best possible guidance.

Supportive Environment: I encourage students to ask questions, no matter how trivial they might seem. By creating a friendly and comfortable atmosphere, I ensure that students feel comfortable and open to express their doubts and curiosities, leading to a deeper understanding of the subjects.

Chun

5.0

(40)

Math is a nightmare for most of the students, if they do not understand the principle of math. Those who are good at math are usually bad at teaching math. Explore the method to learn math in a more principled and structural way, instead of memorising solution.

Joash

5.0

(40)

This course is designed to help you truly understand mathematics in a structured and practical way. Whether you are struggling with the basics or working toward advanced topics, lessons are tailored to your level and goals.

We focus on building strong foundations in algebra, functions, calculus, and problem-solving strategies. Instead of memorizing steps, you will learn to understand concepts and apply them confidently to exams and real-life problems.

Each lesson is interactive and structured, with step-by-step explanations using a digital whiteboard. The goal is steady progress, deeper understanding, and growing confidence in mathematics.

Sabrina

5.0

(40)

Hi I'm a college student, I have advanced knowledge in subjects like, algebra, calculous, math in general, physics, and some statistics. Also, I'm a native Spanish speaker, so I can also help you with grammar, pronunciation. My main goal is to help you understand the topics that you struggle with, because in my experience, sometimes what you need is a different approach of how things are done rather than it being too difficult.

Jeremy

5.0

(40)

IB Physics is one of the most technically demanding subjects at Diploma level. Success requires more than conceptual understanding — it requires structured exam execution.

This programme is designed for students aiming to move up grade boundaries through disciplined, examiner-aligned preparation.

Each student follows a structured performance cycle:

• Diagnostic assessment of current level
• Concept consolidation with precision
• Command term interpretation training
• Markscheme alignment and structured answer writing
• Timed past-paper simulation
• Error pattern analysis and refinement

Many capable students lose marks due to poor structure, misinterpreted command terms, or lack of exposure to examiner-style questions. These gaps are addressed directly.

Over the past year, students have improved by two to three grade boundaries within eight to ten weeks through targeted intervention and consistent practice.

Sessions are delivered online in a professional, interactive format and are suited to students preparing for mocks, final exams, or IA refinement.

Designed for serious students aiming for 6s and 7s.

Robin

5.0

(40)

My goal is simple: to make math understandable in a clear and logical way. Many students think they are "bad at math," when they simply need different and structured explanations.

During my classes, we work on:

The fundamental basics (calculation, fractions, equations)
Algebra
Functions
Geometry
Trigonometry
Probability (school level)
Preparing for tests and exams

I adapt to each student's level and pace. I explain step by step and provide simple methods for solving exercises effectively.

The goal is not just to pass a test, but to truly understand the logic behind mathematics.

Chiraz

5.0

(40)

French version :
- Spécialisée en spé maths pour les élèves au lycée (seconde/première/terminale) et en maths niveau collège pour les élèves qui passent le DNB (6e,5e,4e,3e).
- Je m’adapte aux méthodes d’apprentissage et aux formats de cours avec lesquels l’élève est à l’aise pour favoriser l’apprentissage actif et sur le long terme. J’apporte un soutien 100% personnalisé aux besoins de l’élève avec un suivi continu et des exercices ciblés.
- Cours de français pour collège adaptés au programme de chaque école et des approfondissements en grammaire, orthographe, rédaction et vocabulaire. Exercices en fonction de l’objectif académique des élèves.
- Cours physique et chimie pour tous les âges jusqu’au collège.
- Cours de français pour tous les âges et niveaux.

English version :
- I specialise in tutoring maths for the French Baccalaureate and the DNB. For better understanding, I can happily teach in both languages (fr/en).
I can teach in every other program (IB, EB, GCSE, A-levels) as long as the class material is sent to me beforehand so I can prepare my courses to fit perfectly to the student and make exercises exactly how the program requires it.
- French lessons for the DNB.
- Physics and Chemistry for middle school students and younger.
- My French classes are open to everyone at every level ! :) Practicing with a native speaker will make you learn faster and more naturally.