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

Àpd 29.01 $ /h

Lieu

En ligne depuis Inde

Présentation

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.

Expérience / 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

Enfants (7-12 ans)

Adolescents (13-17 ans)

Adultes (18-64 ans)

Seniors (65+ ans)

Niveau du Cours

Débutant

Intermédiaire

Avancé

Durée

60 minutes

Enseigné en

anglais

Compétences

Maths

Algèbre

Disponibilité semaine type

(GMT -04:00)

New York

Cours par 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

29.01 $ /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,

29.01 $ /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.

Houssem

5.0

(40)

An experienced teacher at your disposal for:

- Methodology adapted to all levels.
- Upgrading.
- Consolidation of achievements.
- Preparation for an examination / competition (CEB, CE1D, CESS.etc).
- Help with homework and lessons.
- Complementary exercises and review as controls and exams approach.
- Advice and supervision at the level of working methods.
- Recommended teaching methods.

Currently, I am doing my maths aggregation. I am already an electromechanical engineer, graduated as a senior technician in electronics and electrical engineering and who passed my bachelor's degree in mathematics with honors. I teach in different technical fields and especially mathematics, algebra and electronics.

At the level of my teaching methods, I use those that are advised pedagogically, I always try to explain and detail as much as possible the courses and I do not pass to the following stages until after making sure that the student understood what I explained.

As a teacher, I already have good experience teaching with students for 7 years. What is certain is that I always make sure to go as far as possible to explain the exercises.

Salah

5.0

(40)

As a teaching professional, I have always enjoyed sharing my knowledge. My goal is to provide quality education. I am aware that some topics may seem complex, but often this is simply the result of an inadequate explanation by the teacher. With me, you will discover a real interest in the material!

We strive together to achieve academic excellence, overcoming the shortcomings and difficulties encountered by your child. Studies will become a pleasant experience for him. In addition to the courses, I can also help with school orientation, identifying their preferences and highlighting the advantages and benefits of a fulfilling educational ambition.

The sessions generally take place according to the following stages:

1️⃣ The first sessions are devoted to the assessment of the student's level in order to detect existing gaps.

2️⃣ Next, we create a personalized plan to address these gaps, including the number of hours of work needed, specific areas to focus on, and appropriate training and development exercises.

3️⃣ We stay in constant contact with the student's class teacher, to keep up to date with the latest requirements and ensure a consistent approach.

4️⃣ Subsequently, I provide exams similar to those that are likely to be asked in class, to prepare the student effectively.

5️⃣ Upon request, I write a regular report, usually monthly, to keep parents informed of their child's progress throughout their course.

I adapt my methodology according to the specific needs of each student, thus offering them a personalized and adapted work approach.

In addition, I offer crash courses for students preparing for the start of the school year, allowing them to start the year well prepared, with a solid lead on the school curriculum.

If you have any questions, do not hesitate to contact me. I will be happy to help you.

Narayan

5.0

(40)

Mathematics course taught by an engineering graduate with over 14 years of teaching experience in mathematics up to the undergraduate level. I also have more than 9 years of experience in teaching and guiding standardized tests such as the GRE and SAT. I can help you learn these standardized courses (GRE, SAT, and even TOEFL) more effectively.

I offer mathematics lessons for various levels of students, including Bachelor students, IB (Math SL and Math HL) students, A-level students, European S6 and S7 level students, GCSE students, and IGCSE students.

I also provide science courses in Physics and Chemistry for students up to the European upper secondary level, as well as IB and A-level students. Additionally, I offer Biology lessons for students up to the European Secondary level, GCSE level, and IGCSE level.

Currently, I am teaching a diverse range of students, including:
- GCSE students
- IGCSE students
- IB students
- European School students
- AS/A-level students
- Lycée Vauban students
- Athénée de Luxembourg students

My current students are from the following schools:
National:
1. St Georges International School, Luxembourg, Edexcel (Pearson) Curriculum (10 students)
2. International School of Luxembourg, Luxembourg, IB Curriculum (6 Students)
3. Lycée Athénée de Luxembourg, Luxembourg, IB Curriculum (4 Students)
4. Lycée - International School Michel Lucius, Luxembourg, Cambridge Curriculum (6 Students)
5. European School Kirchberg, Luxembourg, European Curriculum (4 students)
6. Lycée Aline Mayrisch, Luxembourg, Luxembourgish curriculum (1 student)
7. Lënster Lycée International School, Luxembourg, European Curriculum (2 Students)

International:
8. International School of the Hague, Netherlands, IB Curriculum (1 student)
9. International School Of Nice, France, IB Curriculum (2 students)
10. Merchiston Castle School, Edinburgh, Scotland, Edexcel (Pearson)/Cambridge (1 students)
11. Silverline Private School, Limassol, Cyprus, UK national Curriculum (1 Student)
12. North Broward Preparatory School, Florida, USA, IB Curriculum (1 Student)
13. King Solomon School, Israel, IB Curriculum (1 student)
14. The European School of Bergen, The Netherlands, European Curriculum (1 student)

I also provide homework help for school students, and student progress can be assessed through periodic tests as per the requirements of parents or the students themselves.

Note:
Please note that while some of my students may have courses taught in French, German, or Swedish, my primary teaching language is English. As the subject is mathematics, it is generally easy to understand the task at hand, and I explain the answers in English.

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.

Rania

5.0

(40)

many people face problems while studying scientific subjects , so if you one of them and you need a small or big help , I am here to help you to face any obstacle you may have in the matter.
I am a medical student at the medecine school of tunis.
science has always been a passion of mine.
so I intend to make a personalised plan to each student according to his difficulties and help him overcome them step by step .

Mariem

5.0

(40)

I am an experienced teacher, particularly in academic support and homework monitoring, whether online or in person.
I provide private lessons for primary school four sessions per week (Math, Reading and comprehension, French, Written expression).
I am experienced in teaching the Arabic language to non-Arabic speakers using booklets known as the volume of Medina series...

Nour

5.0

(40)

Ce cours s’adresse aux étudiants de toutes spécialités souhaitant :

°° Renforcer leurs bases en mathématiques, physique et sciences d’ingénieur.

°° Comprendre en profondeur les concepts clés.

°° Préparer efficacement leurs devoirs, contrôles et examens.

Pourquoi choisir ce cours ?

°° Méthodes pédagogiques adaptées à chaque élève.

°° Explications claires et simplifiées pour une compréhension rapide.

°° Résolution d’exercices types et aide personnalisée.

Modalités des cours :

•• Cours en ligne interactifs avec un suivi personnalisé.

•• Horaires flexibles pour s’adapter à votre emploi du temps.

Faten

5.0

(40)

This fun and interactive math class is designed to help kids build strong math skills and confidence while enjoying the learning process! Through games, real-life examples, and easy-to-follow explanations, students will explore essential math topics such as addition, subtraction, multiplication, division, fractions, and problem-solving.

Each lesson is adapted to the child’s level and learning pace, encouraging curiosity, critical thinking, and a love for numbers. My goal is to make math simple, engaging, and rewarding for every student.

Whether your child needs extra help with schoolwork or wants to get ahead, this class provides the perfect balance of learning and fun!

Raouf

5.0

(40)

My method: Logic before calculation
In the final year of high school, the difficulty is often not the calculation itself, but understanding the problem statement and choosing the correct theorem. My support focuses on three key areas:

Analysis: Perfect mastery of sequences, functions (logarithms, exponentials) and continuity.

Geometry in space: Visualization and vector calculation.

Probability: Understanding the laws and knowing when to apply them.

We will delve particularly into the 4 Pillars of Success in the Baccalaureate (Final Year Program)
For each session, we will work on the priority themes of the French curriculum:
Analysis & Algebra: Mastery of functions (Exponentials, Logarithms), limits, and integral calculus. Particular focus is placed on numerical sequences and proof by induction.
Geometry in Space: Learning to "see" in 3 dimensions and mastering parametric representations and the dot product.
Probability & Statistics: Understanding binomial distributions and density to avoid interpretation errors.
Specialty "Expert Maths" (Optional): For those aiming for preparatory classes, we delve deeper into complex numbers, arithmetic and matrices.

Session content:
Demonstration techniques: Knowing how to write a recurrence or a proof by contradiction without losing points for rigor.

Automation: Calculation of complex derivatives, antiderivatives and limits to gain speed on the day.

Analysis of typical Baccalaureate exam topics: We break down the topics that came up in 2024 and 2025 to anticipate the expectations of examiners in June 2026.

For who ?
First-year students: To consolidate the basics before the decisive year.
Final year students (Maths specialization): Intensive preparation for written exams.
Complementary / Expert Maths: Advanced training for future Parcoursup applications (CPGE, Engineering Schools).

🛠️ Tools for online courses
Shared Word document: You can see me writing the live demonstrations, and you can write in turn.

Paper correction: You send me your homework assignments done in class, we analyze your mistakes together so that you don't repeat them.

Valérie

5.0

(40)

Passionnée par l’enseignement et forte de 29 ans d’expérience auprès des élèves, j’ai à cœur d’accompagner les enfants de l’école primaire vers la confiance et la réussite scolaire.

Mes services :
Soutien scolaire en primaire
J’accompagne votre enfant dans les apprentissages fondamentaux (lecture, écriture, compréhension, mathématiques, méthodologie), avec une approche adaptée à son rythme et à ses besoins.

Pourquoi me choisir ?
Approche personnalisée : chaque enfant est unique. Je propose un accompagnement bienveillant, concret et motivant afin de favoriser des progrès durables.
Expérience pédagogique : mon parcours me permet d’identifier rapidement les difficultés et de mettre en place des stratégies efficaces.
Climat de confiance : j’accorde une importance particulière à l’encouragement et à la valorisation des efforts.

Ce que je vous propose :
Un accompagnement bienveillant pour développer la confiance et l’autonomie de votre enfant.
Des méthodes claires et adaptées pour consolider les bases scolaires.
Un soutien régulier pour surmonter les difficultés et retrouver le plaisir d’apprendre.

N’hésitez pas à me contacter pour toute question ou pour échanger sur les besoins de votre enfant.
À bientôt,
Valérie

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:
- Specialised in advanced math for high school students (second/first/final year) and in middle school level math for students taking the DNB (6th, 5th, 4th, 3rd year).
I adapt to the learning methods and course formats with which the student is comfortable to promote active and long-term learning. I provide 100% personalized support to meet the student's needs with continuous monitoring and targeted exercises.
- French courses for middle school students adapted to each school's curriculum, with in-depth study of grammar, spelling, writing, and vocabulary. Exercises tailored to the students' academic goals.
- Physics and chemistry courses for all ages up to middle school.
- French courses for all ages and levels.

French version:
- I specialize 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.

Kristina

5.0

(40)

🎓 Entrance Exam & Independent School Preparation 🎓
I offer tailored tutoring for children preparing for independent school entrance exams such as he 7+ and 11+ exams. My focus is on helping students become comfortable with exam formats and approaches, so they can walk into their exams feeling calm and prepared, whether in one-on-one or small group settings.

If you are interested in group sessions but don’t yet have a group in mind, feel free to let me know! I’m happy to match learners with similar goals so we can create a small, friendly group together for fun and affordable tutoring.

Adil

5.0

(40)

I offer courses in mathematics, physics and robotics for students and young people passionate about science and technology.

The aim of these courses is to help students better understand mathematics and physics, two essential subjects for success in scientific and technical studies. Through these courses, students will also be able to discover the world of robotics, programming, and artificial intelligence.

My aim is to support young people in their academic journey, to strengthen their scientific foundations and to develop their logical thinking and problem-solving skills.

I can also guide students in their academic orientation, advise them on scientific fields and help them prepare effectively for their exams.

These courses are suitable for middle and high school students who wish to improve their level, prepare for their exams or get an introduction to the exciting field of robotics and artificial intelligence.