BASICS MATHEMATICS OF CALCULUS , TRIGONOMETRY AND GEOMETRY

From 32 C$ /h

Mathematics is a fun subject. only subject which is a tool for many other fields like aerospace engineering, electrical engineering, computer engineering, machine learning, artificial intelligence (AI), IOT, statistics any many more. so mathematics is a tool you must have in your pocket to unlock the future potential

Extra information

classes will be ONLINE

Location

Online from India

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

Calculus

Trigonometry

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

Bibek

4.94

(31)

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).

Medo

4.94

(31)

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.

Baia

4.94

(31)

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.

Roland

4.94

(31)

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 alternative 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.

Yosra

4.94

(31)

I am passionate about teaching. My academic background includes a degree in physics with a specialization in mathematics. I master the fundamental concepts of this discipline.

When contacting me, please send me the grade level and the chapters included according to your country because I like to prepare my course carefully and choose the appropriate exercises.

Thank you for your trust !

سيف

4.94

(31)

Struggling with math? Want to boost your grades and feel more confident? My personalized math lessons are designed just for you! With over 8 years of teaching experience, I help students from all levels, whether you're just starting or tackling advanced topics.

In this class, you’ll receive one-on-one attention to:

Master core math concepts like Algebra, Geometry, Calculus, and more
Break down complex problems into easy-to-understand steps
Develop critical thinking and problem-solving skills
Prepare for exams and improve test-taking strategies
I adapt each lesson to your unique learning style and needs. Whether you’re aiming to ace your next test or strengthen your overall understanding, these sessions will build your confidence and help you achieve better results in math.

I also offer bilingual instruction in English, Arabic, and French, ensuring you can learn in the language that makes you most comfortable. Let’s work together to reach your full potential!

Viktorija

4.94

(31)

I offer private math lessons for students of all levels, focusing on building strong problem-solving skills and a deep understanding of mathematical concepts. Whether you need help with algebra, geometry or trigonometry, I tailor each lesson to fit your learning style and goals.

I studied Mathematics A-Level an English school and attended a mathematical gymnasium in Riga, gaining a strong foundation in advanced mathematics. With 6 years of teaching experience, I help students grasp complex topics with clear explanations and practical examples.

Lessons are available in English, German, Russian, and Latvian and can be held online or in person in Vienna.

If you're interested, don't hesitate to message me here.

Shrika

4.94

(31)

This course offers a comprehensive introduction to calculus, emphasizing the foundational mathematical concepts and tools essential for further studies in mathematics and related fields. Topics include limits, differentiation, and integration, approached with clarity and structure. The course is designed to begin from the absolute fundamentals—starting with numbers and functions—and progressively build up to advanced topics such as optimization, related rates, and linear differential equations.

Course Outline:
1.1 Numbers, Functions, (In-)equalities, Polynomials, Rational Functions
1.2 Trigonometric Functions, Vectors in Two and Three Dimensions
1.3 Limits, Continuity, Introduction to Differentiation
1.4 Differentiation Rules and Theorems: Power Rule, Product Rule, Chain Rule
1.5 Derivatives of Exponential, Logarithmic, and Trigonometric Functions, Taylor Series
1.6 Implicit Differentiation and Derivatives of Inverse Functions
1.7 Intermediate Value Theorem, Critical Points, Maxima and Minima
1.8 First and Second Derivative Tests, Inflection Points
1.9 Antiderivatives, Indefinite Integrals, Integration by Substitution and by Parts
1.10 Definite Integrals and Their Applications (e.g., Area Between Curves, Related Rates)
1.11 Optimization, Related Rates, and Linear Differential Equations

This syllabus is inspired by the IB Mathematics: Analysis and Approaches HL curriculum and incorporates elements from the Technical University of Eindhoven’s Calculus Variant 2 Course (2WBBO).

Aqsa

4.94

(31)

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.

Reza

4.94

(31)

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

4.94

(31)

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.

Intasar

4.94

(31)

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.

Nazir

4.94

(31)

Having coached 100+ students from more than 10 universities worldwide, I have developed a strong understanding of the homework expectations, assessment methods, and exam styles commonly used in university-level mathematics courses.

One of the biggest challenges students face in university calculus is the transition from high school mathematics. Differences in curriculum, notation, problem-solving approaches, and calculator usage can create significant knowledge gaps that make it difficult to keep up with the course material.

I help students identify and close these gaps by strengthening the underlying mathematical foundations and developing the skills required for success in higher education. Whether you are struggling with prerequisites, falling behind in lectures, or aiming for top grades, lessons are tailored to your specific needs and course requirements.

I provide comprehensive support in Calculus I, II, and III, including:

- Limits and continuity
- Differentiation and applications of derivatives
- Integration techniques and applications
- Sequences and series
- Multivariable calculus
- Partial derivatives and multiple integrals
- Vector calculus and related topics

I can help you understand assignments and prepare for exams, build the confidence and understanding needed to excel throughout your university studies.

Ali

4.94

(31)

I teach one-to-one Maths and Physics to GCSE, A-Level and university students, online and in person around Birmingham.

I hold an MSc in Electronics and Electrical Engineering with Distinction from the University of Chester, where I now teach and assess postgraduate students as a visiting lecturer. Alongside that I've been tutoring privately for several years, across GCSE, A-Level and first-year university modules. I've published two international conference papers, so the maths I teach isn't something I learned once and repeat from a textbook. I use it.

What I cover:

GCSE Maths and Physics, all exam boards including AQA, Edexcel, OCR and Eduqas
A-Level Maths, Further Maths and Physics
University Maths and engineering modules for science and engineering students
Individual topics including algebra, trigonometry, calculus, statistics, mechanics and logic

How I teach:

Every student starts in a different place, so the first thing I do is find out what they actually understand rather than what the syllabus assumes they should. From there I break difficult ideas into small steps, work through plenty of examples, and set focused practice between sessions.

I care more about a student knowing why a method works than memorising the steps, because understanding is what survives exam pressure when a question is worded unfamiliarly. Lessons are structured but relaxed. Students should feel comfortable asking the questions they think are silly, because those are usually the ones that matter most.

I'm patient with mistakes and honest about what still needs work. If a student isn't ready for a topic, I'll say so and we'll go back a step rather than pretend otherwise.

Term has just started, which is the best point in the year to build a routine before mocks in November and December. If your child is beginning Year 11 or Year 13, or retaking GCSE Maths this November, putting support in place now makes a real difference by the time the real papers arrive.

Verónica

4.94

(31)

Primary school teacher specializing in supporting students in learning mathematics. I offer classes tailored to each level to reinforce calculation, problem-solving, logical reasoning, and the understanding of mathematical concepts. I use clear explanations, practical examples, and motivating activities that help students gain confidence and independence in the subject.