Engineering Math Foundations: Calculus, Linear Algebra & Differential Equations

From 16 € /h

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.

Extra information

This is a flexible and personalized class! If there’s a specific topic you’re struggling with or want to focus on, you can send a request when booking, and I’ll tailor the lesson to exactly what you need.

Location

Online from Egypt

About Me

I’m an Aerospace Engineer who has gone through the same struggles many students face when dealing with math, physics, and engineering concepts. Through my university journey, internships, and competitions, I learned what actually matters, how topics connect to real applications, and how to study smart, not just hard.

As a tutor, I focus on clarity, patience, and confidence-building. I don’t rush explanations, and I always adapt my teaching style to the student’s level and learning speed. I believe that once a student truly understands the why behind a concept, everything becomes easier.

I enjoy teaching motivated students, whether they’re aiming to improve their grades, strengthen their foundations, or prepare for engineering studies. I aim to also help students who feel stuck or believe they are “not good enough for engineering.” In my experience, this feeling usually comes from gaps in explanation or confidence, not lack of ability. With the right guidance and structured approach, students are often surprised by how capable they truly are.

Education

Aerospace Engineering Bachelor’s degree with a strong academic background in calculus and advanced mathematics, including ordinary differential equations (ODE) and numerical analysis, as well as core engineering courses such as thermodynamics, heat transfer, and mechanics of materials.

Experience / Qualifications

Local private tutor in Egypt for high school and university students
Multiple engineering internships, applying theoretical knowledge to real-world problems
Participation in engineering competitions, strengthening analytical thinking and teamwork

Age

Teenagers (13-17 years old)

Adults (18-64 years old)

Student level

Beginner

Intermediate

Advanced

Duration

60 minutes

The class is taught in

English

Arabic

Skills

Math

Engineering

Calculus

Reviews

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

Gas Dynamics: Essential for understanding compressible flows in aerospace.

19 € /h

A specialized course focusing on compressible flow, essential for aerospace and propulsion.

Topics Covered:

Compressible flow fundamentals
Speed of sound and Mach number
Isentropic flow relations
Normal and oblique shock waves
Nozzles and diffusers

Applications:

Jet engines
Rocket propulsion
High-speed aerodynamics

Aerodynamics: Study of airflow behavior around bodies and lifting surfaces.

13 € /h

This course explains how air interacts with bodies, from airfoils to aircraft.

Topics Covered:

Aerodynamic forces and moments
Airfoil theory and lift generation
Drag and pressure distribution
Subsonic and compressible aerodynamics
Boundary layers and flow separation

Applications:

Aircraft and drones
Automotive aerodynamics
Wind and performance analysis

Benoit

5.0

(40)

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

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

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

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

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

Raef

5.0

(40)

The math, physics, chemistry, and SVT courses of the French or Swiss program of maturity or university are done by either in-depth explanations or by a quick course and summary of essential needs according to the case of each student supported by exercises from the book or evaluations and exams from other high schools.
A special follow-up program to better prepare for the Terminales session.
So that I can give support courses for the 1st year of university in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology.
My experience is too long and for years I have learned methods for each case and for each student to fill in their gaps with the best results of Excellent, Very Good, and Good as mentioned by my students.
I can also help students to better prepare for courses and support them to better prepare for the duties of CNED in science subjects.
Guaranteed response within minutes up to 10 hours maximum.

Bibek

5.0

(40)

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

Baia

5.0

(40)

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

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

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

Rania

5.0

(40)

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

Dorcas

5.0

(40)

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

Prashil

5.0

(40)

Welcome to my 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!”

Chun

5.0

(40)

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

Shweta

5.0

(40)

his mathematics class is designed to support and challenge students aged 7 to 17, adapting to their school level, learning pace, and individual goals. Whether a student is building foundational skills, catching up, or aiming to excel, the class provides a structured, engaging, and confidence-building learning environment.

What the Class Will Be Like

1. Personalized Learning: Each student’s current level is assessed first.
Lessons are tailored to match school curriculum requirements and personal strengths or difficulties.
Younger students focus on understanding concepts, while older students work on accuracy, speed, and depth of problem-solving.

2. Concept-First Approach: Emphasis is placed on why mathematics works, not just memorizing formulas.
Concepts are explained using simple language, visuals, real-life examples, and step-by-step reasoning.
Students are encouraged to ask questions freely and think out loud.

3. Age-Appropriate Topics:
Ages 7–10: Number sense, basic arithmetic, fractions, shapes, measurements, and logical thinking through games and activities.
Ages 11–14: Integers, ratios, percentages, algebra basics, geometry, data handling, and word problems.
Ages 15–17: Advanced algebra, equations, functions, trigonometry, coordinate geometry, statistics, and exam-oriented problem solving.

4. Interactive and Engaging Sessions:
Lessons include practice problems, short challenges, quizzes, and guided problem-solving.
Mistakes are treated as learning opportunities to build confidence.
Students are taught multiple methods to solve problems, helping them choose what works best for them.

5. Skill Development Beyond Exams:
Logical reasoning and analytical thinking
Time management and structured problem-solving
Confidence in approaching unfamiliar questions independently

6. Regular Feedback and Progress Tracking:
Continuous feedback is given to students and parents.
Weak areas are revisited until clarity is achieved.
Improvement is tracked over time, not just through marks but through understanding.

Learning Environment: The class atmosphere is supportive, patient, and motivating, ensuring students feel comfortable learning at their own pace while being gently challenged to grow.

Goal of the Class:
To help students not just do mathematics, but understand it, enjoy it, and feel confident using it—both in school and beyond.

Malavika

5.0

(40)

I will,
- go over the necessary material from the recommended textbook or reference book,
- solve questions in class that bolster the understanding of these concepts,
- connect these concepts to real-world use cases and
- provide mentorship to perform well in exams.

Hajira

5.0

(40)

Struggling with numbers? I can help! As a university student in Magdeburg, I offer patient and engaging Math tutoring for school students. I specialize in making complex concepts like fractions, basic algebra, and geometry easy to understand. My goal is to help students build confidence, improve their grades, and actually enjoy solving math problems. Lessons are tailored to each student's school curriculum.

Sandra

5.0

(40)

To encourage and stimulate learning in the subjects taught, as well as their desire to learn more through various tools or techniques that facilitate their understanding.
Encouraging at all times the motivation and desire to continue learning.

Joash

5.0

(40)

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

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

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

Kareem

5.0

(40)

Teaching mathematics and physics for GCSE and American programs.

I do 1:1 and group sessions .

working with students to achieve the best out of them.

Depending on students’ goals. Fabricating personalized learning schemes to help attaining desired grades

Sabrina

5.0

(40)

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