Mathematics Tutor for All Levels: High School to University (Proof-Based & Applied)

From 16 £ /h

My name is Sarbajit, and I have dedicated my academic and professional life to mathematics and its teaching. I have over a decade of experience teaching students from diverse educational systems—including IGCSE, CBSE, ICSE, State Board, AP, and undergraduate university programs—both in India and the UK.

I hold an MSc in Physics and Mathematics from the University of Surrey, UK, and I have pursued advanced mathematical studies and research at the Indian Institute of Science (IISc), Bengaluru. Currently, I am engaged in advanced mathematical research at IISc, focusing on geometric analysis, partial differential equations, and regularity theory. My own journey from computational to proof-based mathematics has given me a deep appreciation for the beauty of rigorous reasoning, and I love sharing that with my students.

I teach mathematics at all levels, from school to university, with a special emphasis on conceptual understanding and proof writing. My areas of expertise include:

High School Mathematics (all topics, including algebra, geometry, trigonometry, and pre‐calculus)

Calculus (Single Variable, Multivariable, AP Calculus AB/BC, Pre‐Calculus)

Linear Algebra

Real Analysis

Differential Equations (ODE and introductory PDE)

Mathematical Methods for Physics and Engineering

Differential Geometry (introductory to advanced, including smooth manifolds and Riemannian geometry)

Proof Writing and Mathematical Reasoning

I have been teaching online for several years with a full digital setup—including a pen tablet and webcam—to ensure a smooth, interactive experience. I believe every student can learn to think like a mathematician, and I adapt my teaching to your individual goals, whether you are preparing for exams, transitioning to university‐level mathematics, or simply seeking to understand the beauty of the subject.

Mathematics gives me immense joy, and I want to share that joy with you. Let’s explore the hidden structures and elegant logic of mathematics together.

Extra information

Good Internet connection, Skype/Zoom/GMeet/ MS Teams

Location

Online from Czech Republic

About Me

I specialize in teaching mathematics from advanced school level to university level, with a particular focus on bridging the gap between computational and proof‐based mathematics. My own background—advanced studies and research at the Indian Institute of Science (IISc), Bengaluru, research in theoretical physics at Charles University, Prague, and an MSc in Physics and Mathematics from the University of Surrey, London—allows me to help students not only solve problems but also understand the underlying mathematical ideas and develop rigorous analytical thinking.

My teaching approach emphasizes conceptual understanding, logical reasoning, and structured problem‐solving. Whether a student is preparing for school examinations, university coursework, competitive entrance examinations, or higher studies in mathematics, I adapt my teaching to their individual goals and learning style. I am particularly passionate about helping students transition from computational mathematics to proof‐based mathematics, where they learn how mathematicians think, construct arguments, and understand abstract concepts with confidence.

Education

Advanced Studies and Research in Mathematics
Indian Institute of Science (IISc), Bengaluru, India
Focus: Geometric Analysis, PDEs, Regularity Theory

Research in Theoretical Physics
Charles University (Univerzita Karlova), Prague, Czech Republic
Completed research in theoretical physics

MSc in Physics and Mathematics
University of Surrey, London, United Kingdom

Experience / Qualifications

10+ years of teaching experience globally, working with students from a variety of educational systems including A‐Level, IGCSE, IB, AP, CBSE, ICSE, and undergraduate mathematics programs.

Areas of expertise:

High‐School Mathematics

Pre‐college level Mathematics, all topics

Calculus (Single Variable and Multivariable, AP‐Calc‐AB/BC, Pre‐Calc)

Linear Algebra

Real Analysis

Differential Equations (ODE/PDE)

Mathematical Methods for Physics and Engineering

Differential Geometry (introductory and advanced topics / smooth manifolds / Riemannian Geometry)

Foundations of Partial Differential Equations

Proof Writing and Mathematical Reasoning

Skilled at adapting teaching to individual goals, whether for school examinations, university coursework, competitive entrance exams, or higher studies in mathematics.

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

90 minutes

120 minutes

The class is taught in

English

Skills

Math

Availability of a typical week

(GMT -04:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

AP Calculus AB/BC: Complete Exam Preparation with Conceptual Mastery

13 £ /h

This class is designed for high school students preparing for the AP Calculus AB or BC exams, as well as anyone seeking a rigorous foundation in single‐variable calculus. Whether you are aiming for a top score or simply want to understand calculus deeply, this course covers all required topics: limits, derivatives, integrals, the Fundamental Theorem of Calculus, and—for BC—additional topics such as sequences, series, parametric equations, polar coordinates, and vector‐valued functions.

My teaching approach emphasises conceptual understanding over rote memorisation. We will explore why calculus works, not just how to compute. You will learn to solve problems with confidence, interpret graphs, and connect ideas across the curriculum. Each session is tailored to your pace and goals, with plenty of practice problems and exam‐style questions.

With over 10 years of teaching experience across multiple curricula (AP, IB, A‐Level, CBSE, ICSE) and advanced mathematical training at IISc Bengaluru and the University of Surrey, I can help you master calculus and develop the analytical skills needed for success in higher mathematics.

We will cover:

Limits and continuity

Differentiation (rules, applications, related rates, optimisation)

Integration (techniques, applications, areas and volumes)

Differential equations

For BC: sequences and series, parametric, polar, and vector functions

Exam strategies and time management

Reza

4.64

(25)

I hold a PhD in Mechanical Engineering and currently work as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).

My extensive teaching experience covers a wide range of engineering courses, including:

- Mathematics: algebra, linear algebra, probability, calculus, differential equations, intellectual math, and advanced engineering mathematics.

- Mechanical Engineering: Statics, Dynamics, Mechanics of materials, Mechanical design, control, vibration, Fluid Mechanics, Thermodynamics, Heat transfer, Engineering drawing, Applied Mechanics, Composite Structures, Flight, Machine Elements, Manufacturing, 3D printing, and more.

- Physics: mechanics, momentum and energy, electricity, charge and current, electric and magnetic fields, waves, particle physics, nuclear decay, astrophysics, cosmology, oscillations, etc.

- CAD/CAM Software: Autocad, Solidworks.

- Mechanical Design Packages: ANSYS, APDL programming, ABAQUS, MATLAB, Symbolic MATLAB, LS-DYNA.

My research and teaching interests are diverse, including:
• Additive manufacturing
• Mechanical metamaterials
• Acoustical metamaterials
• Electromagnetic metamaterials
• Aeroacoustics
• Soft matter and soft robotics
• Fatigue and fracture mechanics
• Experimental mechanics
• Multiscale numerical modelling
• Biomaterials
• Porous materials
• Manufacturing of medical devices and implants
• Deep learning
• Image processing
• Topology optimization
• Origami and Kirigami structures
• Self-folding and self-assembly structures
• Tissue engineering
• Permeability in porous materials
• Fluid-Solid Interaction

I understand that not all teachers excel in teaching Engineering and Mathematics courses and explaining their importance to students. Courses with strong mathematical backgrounds may become boring for students who lack a solid mathematical basis. To address this, I take a student-centered approach, starting from the basics to actively engage all students, including those with weaker mathematical backgrounds. I also provide practical examples to demonstrate the real-world significance of what they are learning, inspiring and fostering their interest in the subject matter.

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Kevin

4.64

(25)

► Online Mathematics, Physics & Chemistry Tutor from Switzerland
► GCSE, IGCSE, A-Level, IB & International School Support
I completed my Master’s degree in Business Information Systems at a Swiss University of Applied Sciences, where my main academic focus was strongly connected to Mathematics, Physics, analytical thinking and problem-solving. This technical background shaped the way I teach today: clearly, logically and with a strong focus on real understanding.
► EXTENSIVE EXPERIENCE WITH GCSE, IGCSE, A-LEVEL, IB & INTERNATIONAL SCHOOL STUDENTS
With many years of teaching experience, I have successfully supported students from prestigious schools and highly demanding academic programmes, helping them strengthen their understanding, master exam techniques and achieve excellent progress in Mathematics, Physics and Chemistry.

► Exam Preparation & Academic Support

► GCSE & IGCSE Mathematics, Physics and Chemistry
I help students build a strong foundation through clear explanations, topic-by-topic revision and carefully selected exam-style practice. My lessons focus on understanding the core ideas, improving calculation skills, avoiding common mistakes and preparing students confidently for their final exams.

► A-Level Mathematics, Further Mathematics, Physics and Chemistry
A-Level subjects require deeper thinking, strong problem-solving ability and excellent exam technique. I support students with advanced concepts, structured revision, challenging practice questions and university preparation, especially for demanding fields such as Engineering, Medicine, Computer Science, Economics and Natural Sciences.

► International Baccalaureate — IB Mathematics, Physics and Chemistry
I provide structured support for both Standard Level and Higher Level students. My focus is on deep conceptual understanding, clear mathematical reasoning, scientific explanation and strong exam performance. Students learn how to approach complex IB-style questions with confidence and precision.

► International School Programmes
I support students following international, bilingual and private school curricula. Since every school can have slightly different expectations, I adapt my teaching to the student’s syllabus, textbook, teacher requirements and exam format, ensuring that the lessons are directly useful for school success.

► University & Foundation Courses
For older students, I offer support in Mathematics, Physics, Chemistry, Statistics and technical modules. I help students understand difficult theory, work through assignments, prepare for exams and strengthen the analytical skills needed for university-level study.

► How I Teach
► I focus on understanding, not memorisation.
I explain concepts step by step until the student truly understands why a method works.
► I adapt every lesson to the student.
Every student learns differently, so I adjust my teaching style, pace and examples individually.
► I simplify difficult topics.
Complex problems become easier when they are broken into clear, logical steps.
► I close knowledge gaps.
I identify missing foundations and rebuild them carefully so the student gains confidence.
► I train exam technique.
Students learn how to read questions properly, avoid common mistakes and solve problems under exam conditions.

► 100% COMMITMENT TO YOUR SUCCESS
With clear guidance, focused practice and a personalized learning strategy, I am fully committed to helping you understand deeply, improve consistently and achieve your strongest possible results.

► My Goal
My goal is not only to improve grades, but to help students become confident, independent and motivated learners. With the right guidance, Mathematics, Physics and Chemistry become clear, logical and much easier to master.
► Subjects: Mathematics, Physics, Chemistry
► Levels: GCSE, IGCSE, A-Level, IB, International School, Foundation Courses, University Modules
► Focus: Understanding, confidence, exam success and long-term academic progress.

Salah

4.64

(25)

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.

Raef

4.64

(25)

With over 18 years of experience and a degree in Mathematics, Analysis, Matrices, Statistics, Algebra, Geometry, Physics, Chemistry, Biology, and Geology, I offer private lessons in French programs for Terminale, brevet, and secondary schools, as well as international (IB) or Canadian programs in English, and for students preparing for university entrance exams, medical programs, or first and second years of university studies. Lessons are available for the academic year, either at home or online using a virtual classroom method (shared interactive whiteboard).
The online method is easy to use via a link that serves as a writing, typing, and projection screen, unlike WhatsApp or Zoom, which are the communication platforms we use. This method is very modern and reliable (it's like being in the same place); I've been working with it for over six years.
The results of my students and in particular the students of Terminale are superb with successes in mention very good and good and sometimes excellent.
Homework help for CNED students.
For more information, do not hesitate to contact me.

Matías

4.64

(25)

Do you aspire to master mathematics, physics and engineering at a university level? Do you want to exceed your limits and excel in these demanding fields? Do not search anymore ! Our tailor-made private lessons are there for you.

Why choose our courses?

Unparalleled Expertise: Our professors are experts in their field, with extensive experience in university teaching. They are ready to guide you towards success.

Personalized Program: We tailor each course to your specific needs, from understanding fundamental concepts to solving complex problems.

Total Flexibility: Choose the schedule that suits you best. Whether you are an active student or a professional, we adapt to your schedule.

Constant Support: You will benefit from continuous monitoring between classes to answer all your questions and concerns.

Quality Teaching Materials: We provide high-quality learning resources to support your progress.

Who can benefit from our courses?

High school students preparing for their baccalaureate or entrance exams to engineering schools.

University students pursuing a degree in mathematics, physics or engineering.

Professionals looking to acquire or deepen technical skills.

Join us today!

Excellence doesn't wait. Contact us now to book your first lesson. Together we will build a bright future based on a solid understanding of mathematics, physics and engineering.

Christopher

4.64

(25)

I specialize in online physics and maths tutoring for A-Level and GCSE level students. I aim to give fun and engaging tutorial sessions, lifting problems out of the textbook and applying them to the world around us. My tutoring is flexible and I will adapt lessons to the needs of the student.

My background is in engineering and I am currently a PhD researcher in aerospace specializing in spacecraft propulsion and plasma physics. I have also been awarded a NASA Fellowship invitation.

Khalil

4.64

(25)

If you’ve ever felt that science and math are difficult, it’s probably because no one showed you how to think like a problem solver.
In my classes, you’ll learn not just formulas or code but how to truly understand concepts, apply them, and build strong logical intuition.

I teach:
• 🔢 Mathematics: From algebra and calculus to applied problem-solving for real-world use.
• 💻 Computer Science: Coding fundamentals (Python, C++), algorithms, and logical thinking for beginners and intermediate learners.
• ⚛️ Physics: Mechanics, thermodynamics, and practical examples that make abstract ideas simple and visual.

As a Software Engineer and Master’s student in Engineering at Nagoya University, I bring both academic knowledge and hands-on experience from real projects. My teaching approach is interactive, visual, and deeply focused on understanding over memorization.

Let’s turn complex problems into clear, step-by-step insights — and make learning something you genuinely enjoy.

David

4.64

(25)

I am a Math and Physics tutor with over 10 years of experience, backed by an MIT background and training from top technical schools. My lessons are unmatched, blending charisma, passion, and innovative teaching methods to create a magical learning experience. I focus on highly personalized, one-on-one sessions, understanding each student’s unique mindset to unlock their full potential.

Teaching is my true passion! I genuinely enjoy sharing my knowledge and skills with those in need. My friendly and supportive attitude allows me to establish a connection with every student right from the first lesson. So, if you're feeling demotivated and down, don't worry! I'm here to help you find the motivation you need for both academic and personal success.

If you have any questions, please feel free to contact me anytime here. I will respond to you as soon as possible!

Bibek

4.64

(25)

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 the high school and university-level students.

This class aims to prepare you for the CCVX and James Boswell entrance examination in Mathematics A and/or B so that you can enter the university. This course will be tailored to your specific needs, and we can mainly focus on the topics you are struggling with. Furthermore, please feel free to contact me and suggest any other topics you would like me to cover and teach.

Topics of the course:
1. Algebra and combinatorics
2. Functions and their graphs
3. Trigonometric functions
4. Logarithmic functions
5. Inverse functions
6. Transformations
7. Coordinate geometry
8. Quadratic equations
9. Equalities and inequalities
10. Vector and the dot product
11. Vector representation of a line
12. Algebraic methods in planar geometry
13. Parametric equations
14. Sequence and series
15. Limits and asymptotes
16. Derivatives and integral calculus
17. Probability and statistics
18. Normal and binomial distribution
19. Hypothesis testing

And many more...

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

Jeremy

4.64

(25)

Passionate & empathetic teacher. I have a Master's in Physics with honors from the University of Leicester (which was featured at the time as a top 5 Physics university in the UK by The Guardian) and a - french - European School diploma in which I achieved 90% in Physics and 85% in Maths.

Helping others understand difficult topics and skills is something that I am very passionate about as an empathetic person. I have 6 years of experience teaching Physics and Maths to kids from unprivileged backgrounds both in a homework schools as well as via private teaching. In private teaching, I have experience tutoring people with learning disabilities (ADHD, Dyslexia, Discalculia and more), younger kids of ages 7-12 and older students preparing for their final baccalaureate exams in advanced maths/physics curriculums.

In my classes, I aim to:

- help students achieve better grades in exams/tests in all branches of Physics & Maths
- clearly explain and break down topics
- give context and or example applications of topics (to improve understanding and memorization)
- help with ADHD & other learning disabilities
- give practical advice for university applications (eg. UCAS in the UK) and discuss the exciting Physics research/work and projects you can work on later in life.

Physics has a plethora of useful and fascinating applications, from the detection of Gravitational Waves and Gamma-Ray Bursts to the development of novel Medical Imaging techniques and Nano-technology (eg: smartphones). It is a subject that I am very passionate about and I hope to make use of my years of experience and extensive knowledge to help you understand and love the subject! My lessons will always be tailored to the individual needs of the student, so please do not hesitate to contact me if you have questions!

Amin

4.64

(25)

Struggling with math, physics, or chemistry? You're not alone — these subjects are hard, and classroom explanations are rarely enough.
I offer personalized tutoring for middle school, high school, and early university students following the French Mission curriculum, the Moroccan national curriculum, or the international baccalaureate.
Topics covered:

Mathematics: algebra, geometry, calculus, trigonometry, probability
Physics: mechanics, electricity, optics, thermodynamics
Chemistry: organic, inorganic, stoichiometry, reactions

My approach:
I don't re-explain the textbook — I identify exactly where your understanding breaks down and fix it from there. Each session is built around your specific difficulties, not a preset program.
I completed CPGE (Classes Préparatoires aux Grandes Écoles) in Mathematics and Physics before graduating as a State Engineer — I know these subjects at an advanced level and I know where students typically get lost.
Individual and small group sessions available. Online (worldwide) in French, Arabic, or English.

Baia

4.64

(25)

I work with two kinds of students: those preparing to meet university math admission requirements (OMPT, CCVX, VWO), and those already enrolled who need solid support in calculus, linear algebra, differential equations, probability & statistics, or discrete math including students at TUM, ETH Zurich, TU Delft, KTH, EPFL, and RWTH Aachen.
Lessons are in English; I can explain in German where it helps.

Narayan

4.64

(25)

*Note: My availability on Apprentus may not be up to date. Please contact me to check my current availability.

Mathematics course(especially from the entrance exam perspective) taught by an engineering graduate with over 14 years of teaching experience in mathematics up to the undergraduate level. I also have more than 3 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

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.

Prashil

4.64

(25)

Welcome to my Foundation Course in Science and Maths, specially designed for primary, secondary, and high school students in Amsterdam. This course aims to build a strong foundation in these critical subjects, ensuring students excel academically and develop a genuine love for learning.

My teaching approach is focused on making learning enjoyable and engaging. I incorporate interactive activities and hands-on experiments to bring Science and Maths concepts to life. By involving students in these dynamic learning experiences, I aim to transform abstract concepts into tangible understanding. Each session is thoughtfully designed to keep students interested and motivated, minimizing fatigue and maximizing retention.

I believe in simplifying complex topics, breaking them down into easy-to-understand segments. This approach helps students grasp and retain challenging concepts with ease. Techniques such as mnemonic devices, visual aids, and real-life examples are integral to my method, ensuring that formulas and concepts are not just memorized, but truly understood.

Regular assessments are conducted to track student progress and identify areas needing improvement. These tests also prepare students for their school exams, ultimately boosting their confidence. I understand the importance of keeping parents informed and involved in their child’s academic journey. That's why I provide weekly reports detailing their child’s progress, strengths, and areas for improvement. This continuous feedback loop ensures that parents are aware of their child’s development and can support their learning at home.

Encouraging words and positive feedback are integral to my teaching method. I strive to build students' self-confidence and to instill a love for learning through positive reinforcement. Setting achievable goals for each student, I celebrate their successes and motivate them to strive for excellence. This goal-setting approach not only drives academic success but also fosters a sense of accomplishment and self-worth.

As a tutor, my satisfaction comes from seeing my students excel and reach their full potential. My ultimate goal is to empower students with the knowledge and skills they need to succeed in Science and Maths. I am always available to support my students, offering additional help and resources as needed to ensure their success.

I foster an open environment where students feel comfortable asking questions, no matter how simple they may seem. This curiosity drives deeper understanding and encourages a proactive approach to learning. By incorporating games, puzzles, and interesting activities, I ensure that learning remains fun and engaging, keeping students excited about the subjects.

Join my Foundation Course in Science and Maths and watch your child develop a strong foundation, confidence, and a genuine love for these essential subjects. Let’s work together to achieve academic excellence and make learning a fun and rewarding experience. “Excel in Subjects, Soar in Confidence!”

Fisnik

4.64

(25)

RELIABLE TUTOR — Solvay graduate (Cum Laude), 7+ years of private tutoring, former teaching assistant (Maths/Stats).

I help students regain confidence: we clarify concepts, use concrete examples, then practice assessment-style questions. No rote learning: we reason, test, and master.

What we work on
• Chapters of your choice: equations, functions, trigonometry, geometry, derivatives, probability, statistics.
• Step-by-step method, concrete examples, and a short summary sheet each session.
• Practice on common assessment questions with feedback.

Formats & languages
• 1-to-1 or Duo/Trio (same level) · EN/FR · online (Zoom/Teams) or in person in Brussels.

Packs (year-round)
• Sprint 6 h (3 × 2 h): quick refresher and targeted practice.
• Pack 10 h: full review, study plan, and short follow-up.
• Limited WhatsApp support included with packs.