Fundamental Mathematics (Linear Algebra, Calculus and more)

From 58.18 $ /h

Possible courses: Linear Algebra, Calculus, Probability Theory, etc.

Maths can be fun to learn, and it’s essential in many different fields. But sometimes the contents are abstract and difficult. I’d like to share what I have learned and the methods I have used to help more students for their maths courses/exams.

I have studied Mathematics A and B on my own after coming to the Netherlands. Then I obtained a bachelor degree in Mathematics. During my study I also worked as a teaching assistant for courses such as linear algebra and calculus.

Extra information

Before the 1st session, we can have a discussion and make specific plans together.
(I cannot provide lessons in Dutch yet, but I can read a bit in Dutch)

Location

Online from Netherlands

About Me

I enjoy studying and discussing maths problems, and I’d like to share what I have learned and my methods to help more students.
The lessons I provide is mainly for basic maths course at university level. But I have studied for Mathematics A and B level material (before entering the university), and so feel free to contact me for preparation of the university entry exams!

Education

Studied and graduated from high school in China
Obtained a bachelor’s degree in Mathematics (at the VU)
Currently studying for a master’s degree in Mathematics (at the VU)

Experience / Qualifications

Teaching assistant at Vrije Universiteit Amsterdam for courses such as Linear Algebra, Calculus, Analysis, Probability Theory, etc.

Age

Teenagers (13-17 years old)

Adults (18-64 years old)

Seniors (65+ years old)

Student level

Beginner

Intermediate

Duration

60 minutes

The class is taught in

English

Chinese

Skills

Calculus

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

Bibek

4.92

(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 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).

Pia

4.92

(25)

You are a university student and have trouble with your math courses? Don't fret, I'm here to help! It doesn't matter whether you are a math student or from a different major, whether you are from an applied background or struggle with pure maths - the lessons will only cover what you need. Mathematics has a lot to do with practice and getting familiar with the way of thinking logically. With my help and guidance, I am sure you will become confident in solving problems and understanding mathematical concepts.

The lessons will be tailored to your needs and their structure depends highly on you: usually it is a mixture of repeating the content, solving exercises together, summarising important concepts and talking about exercises you tried yourself at home. The topics, content, pace and methods of learning will be adjusted to your needs, ensuring that you get the most out of my lessons. Besides the lessons, you will get "homework" to work on to strengthen your skills and independent working.

Topics include, but are not limited to:
-Trigonometry
-Geometry
-Linear Algebra
-Calculus (limits, derivation, Integration, etc.)
-Set Theory and Metrics
-Analysis (functions, Taylor series, etc.)
-Algebra (Group/Ring/Field theory, Galois theory, etc.)
-Number Theory (sequence and series)
-Probability (statistics, stochastic processes, etc.)
-Logic and Proofs
-Numerical Analysis
-(Algebraic) Topology (Homology theory, etc.)

If you have another topic in mind that you really need help with, just send me a message!

Whether you need someone that explains the concepts to you or just someone to practice exercises with - I am sure I can help you. You have an exam soon and want to review the main topics? No problem! You have a very specific problem, question or topic that you need help with? I'm here to answer any questions!

The most important part of my lessons is, however, to ensure a safe and comfortable environment - I have no issue with explaining the same concept over and over again until I am convinced that you have understood it. It is important to me that you feel comfortable in asking any questions - I want to show you, that Math is more than a subject and that it can be fun!

Mohamed

4.92

(25)

As a highly qualified maths teacher, a graduate of the college of teachers and with 11 years of teaching experience in public high schools, I am happy to offer tutoring lessons in mathematics at home for students from level T and Common Core Sciences, TC Technological, 1st Baccalaureate Experimental Sciences and final of all the sectors (SVT-PC-SC.Math-L), as well as for the classes of 2nd and 1st general, Terminale specialty of the French system, as well than the 5th, 4th and 3rd levels of college.

My primary objective is to help students improve their level, deepen their knowledge, assimilate their lessons, fill their gaps and improve their skills in the discipline of mathematics. In addition, I am perfectly able to support them in the preparation of their exams and competitions for access to the Grandes Ecoles, and to provide them with homework help so that they can succeed in this subject.

With my advanced math skills and knowledge, I am confident that I can provide my students with effective tools and techniques to help them progress. My goal is to give them confidence and help them develop a passion for mathematics, a subject that can seem daunting at first, but can be exciting and rewarding if taught in an interesting and fun way.

By choosing my tutoring courses in mathematics, students can expect to receive individual attention and personalized help to overcome their difficulties and achieve their goals. My teaching approach is interactive and student-centered, which allows for a deeper understanding of mathematical concepts and a more practical application of acquired knowledge.

In summary, I am confident in my skills as a math teacher to help students of all levels progress and succeed in this demanding subject. I am convinced that my dynamic and stimulating teaching methods will help my students achieve their math goals and build a confidence that will follow them throughout their lives.

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.

Roland

4.92

(25)

Math, calculus and physics can sometimes be overwhelming, especially when the theory or solving method is unclear. I am a cum laude Aerospace Engineering graduate from TU Delft and have helped other pupils with their problems since 2017. With my calm and stepwise explanation, a second view of the solution procedure is given, which is often what is missing. I tutor a variety of math and physics courses on both secondary and high school levels, but also at a scientific bachelor level. These can either be theory/exercise-based, but also exam preparation.

Shrika

4.92

(25)

Hey There!

About Me:
I am Shrika, a former IB student who has recently passed IB in 2024. Of the 6 subjects I have taken, I am most profound in mathematics followed by geography at higher level. Currently I am a university student at the Technical University of Eindhoven pursuing Data Science at a bachelor's level.

What I offer:
Considering the challenging math I have encountered during my IB years along with my current university course, I am quite comfortable with mathematics and am looking to provide mathematics lessons for individuals who are especially in the IB curriculum. I can provide classes for Math AISL , AASL and AAHL students. Of course, due to the nature of the course, I am proficient to teach students who are younger such as in primary or secondary school as IB is a course for high school students.

What the course offers:
As I have hinted out in the previous section, the course is tailored to the student itself. IB students don't need to worry as I have materials and classes already prepared. If you are a student not following the IB curriculum but can provide a textbook in mathematics for me to teach from, that is possible too! Feel free to contact me to discuss further details!

Eduardo

4.92

(25)

👋 Do you find math difficult, confusing, or do you feel it's holding you back academically?
You're not alone. Many students lose confidence because they lacked a solid foundation or because the pace of the class wasn't right for them. The good news is that it is possible to learn math safely and without stress.

I am Eduardo, a mathematician and teacher with more than 10 years of experience in online teaching internationally.

🎓 I work with students from:

✔️ International Baccalaureate (IB) School
Classes focused on deep understanding, problem-solving and preparation for IB-type assessments and exams, using specialized material and clear strategies.

✔️ University
Classes in Basic Mathematics, Differential and Integral Calculus, Differential Equations, Linear Algebra, Topology, among others.
I have accompanied students of Economics, Administration, Engineering and Science, helping them to pass demanding courses and significantly improve their academic performance.

💻 What do you get in my online classes?

🔹 100% personalized classes, adapted to your level, pace and goals.
🔹 Clear, patient, and pressure-free explanations.
🔹 Flexible schedules that fit your availability.
🔹 Specialized digital material and progressive exercises.
🔹 Continuous follow-up and direct communication with me.
🔹 Visible results from the first weeks, reflected in greater understanding, confidence and better grades.

📌 My goal is not for you to memorize formulas, but for you to understand, gain confidence, and be able to solve problems on your own.

📩 If you want to improve in math and leave frustration behind, write to me and let's talk.
Together we will find the best way to help you move forward.

Aqsa

4.92

(25)

Build a strong foundation in mathematics with personalized lessons in Calculus, Algebra, and Trigonometry. Whether you're looking to improve your grades, prepare for exams, or deepen your understanding, this course adapts to your level and learning pace.

Algebra: Equations, inequalities, polynomials, and functions

Trigonometry: Angles, identities, graphs, and real-world applications

Calculus: Limits, derivatives, integrals, and problem-solving techniques

Ideal for high school and college students, or anyone needing a math boost. Lessons are interactive, supportive, and tailored to your goals. Let's make math easier and more enjoyable.
Our personalized, one-on-one classes focus on clear explanations, interactive practice, and real-life applications to help you gain confidence and improve your grades.

Available for all levels | Flexible scheduling | Exam preparation support.

Let’s get started! Book your first lesson now, and we’ll make math easier and more enjoyable together.

Yomna

4.92

(25)

This class is designed for engineering students and pre-university students who want to build a solid foundation in the most essential math topics used in engineering and technical fields.
→ Calculus
→ Linear Algebra
→ Ordinary Differential Equations (ODEs)
→ Numerical Analysis

Whether you're currently struggling with these subjects or preparing to study engineering soon, this course will help you understand the core concepts in a clear, step-by-step, and application-focused way — with examples that actually make sense in real life and engineering scenarios.

Reza

4.92

(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).
Key topics that I teach for this course include:
• Calculus: Differentiation & integration, Multivariable calculus
• Linear Algebra: Matrices, vectors, systems of equations, Eigenvalues and eigenvectors
• Differential Equations: First- and second-order ODEs, Laplace transforms
• Complex Numbers: Polar form, Euler’s formula
• Vector Calculus: Gradient, divergence, curl, Line and surface integrals
• Series & Transforms: Taylor series, Fourier series

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! :)

Aafaq

4.92

(25)

Calculus I, the first course in this extensive mathematics curriculum, teaches students the foundational ideas of limits, derivatives, and how to apply them to real-world issues including rates of change and optimization. Calculus III, which builds on this basis, introduces partial derivatives, multiple integrals, and vector calculus, extending these concepts into several dimensions. When taken as a whole, these calculus courses build the solid analytical foundation and spatial thinking abilities needed for further study in applied mathematics, science, and engineering.

Students study Number Theory concurrently, exploring the complex patterns and characteristics of integers, such as primes, modular arithmetic, divisibility, and the classical theorems that form the basis of much of contemporary computer science and encryption. In addition to this theoretical emphasis, the Numerical Methods course gives students useful computational tools to help them approximate solutions to challenging mathematical problems that are impossible to solve analytically. Students are prepared for a variety of jobs in mathematics, engineering, technology, and other fields by this program, which blends strong theoretical knowledge with algorithmic problem-solving abilities.

Faten

4.92

(25)

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!

Abubakar

4.92

(25)

I am a Master’s student in Mathematics and Physics at the University of Stavanger and have served as a student assistant in multiple university courses including MAT100, MAT200, PHY100, and engineering subjects. In these roles, I led problem-solving sessions, explained concepts at the board, and provided individual academic guidance to students.

I specialize in helping students develop true conceptual understanding. My teaching focuses on clarity, logical thinking, and strong problem-solving ability rather than memorization. Students I work with gain confidence and learn how to approach problems independently.

I can help with:

• Mathematics: algebra, calculus, functions, and exam preparation
• Physics: mechanics, electricity, waves, and foundational concepts
• Homework support, assignments, and exam preparation
• University-level introductory mathematics and physics

My approach is structured, patient, and adapted to each student’s level. Whether you are struggling with fundamentals or aiming for top performance, I will help you achieve your academic goals.

Intasar

4.92

(25)

I have graduated with a degree in chemical engineering from the University of Edinburgh, UK. I am also an Erasmus Mundus scholar with a master's in Analytical Chemistry from Uppsala University. Currently, I am pursuing a PhD in physical chemistry.

I have been tutoring since 2012 to fund my education expenses. I formally began tutoring in 2014 as part of my vocational training as a teacher in Ghana, funded by the University of Edinburgh. The formal training has taught me a lot about curriculum development, time management, and fusing my teaching methodology to my students’ needs. I have been tutoring in Physics, Chemistry, and Math, in person and online; the hybrid model has allowed me to reach out and teach students in 8 different countries. I have successful students from these past nine years who have not only commended my work ethic but can also stand testament to my enthusiasm.

My excellent academic career has nurtured in me a natural talent for teaching. My experiences have taught me how to tackle one problem at a time, and I believe that using this approach—paired with my unconventional examples that force students to think outside the box—I can truly provide an excellent understanding and explanation. My teaching methodology is based on two main things: skill development and adaptation. Initially, I create a skeleton of the most suitable methodology tailored to the preferred curriculum, after which, I adapt that lecture to the specific needs of the student based on their knowledge and grasp of the concepts. Second, I like to develop analytical and scientific ability along with knowledge in my students, and for that, I use a combination of resources in the form of worksheets, class tasks, and past papers. Last, I believe in the strong ethic of providing feedback to the parents, so that they are aware of their child’s progress.

Frequently Asked Questions:
Which subject(s) do you teach?
I teach math, mechanics, statistics, chemistry and physics. I also teach biology up to GCSE level.

When are you available? My timetable is quite flexible. I am happy to work weekdays, week evening and weekends.

Which ages and levels do you teach? The majority of my students are between the ages of 10-18, but I also teach college Students. I am also helping foundation and first year university students.

Which qualifications do you prepare your students for? GCSE, IGCSE, A/S-level, A-level, IB, School entrance exams and SATs

Describe your arrangements for online tutoring? I use Zoom online sessions since it has many tools and features specially designed for interactive and visual learning. I am fully equipped with modern gadgets for e-learning. I use Google drive and docs to share files.