Engineering Math Foundations: Calculus, Linear Algebra & Differential Equations

From 27 C$ /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 -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

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

22 C$ /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

Introduction to Aerospace/Aeronautical Engineering

28 C$ /h

This course is designed for students who are curious about how aircraft and spacecraft work, or who are planning to study Aerospace / Aviation Engineering and want a strong, clear introduction before university.

The lessons break down complex engineering concepts into simple, intuitive ideas, with real-world examples from aviation and space — no prior engineering background required.

Who This Course Is For
-High school students interested in aviation or space
-First-year engineering students feeling overwhelmed
-Students considering Aerospace or Aviation Engineering
-Curious learners who love planes, rockets, and technology

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)

Experienced for more than 18 years, I give private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Chemistry - Biology, Geology to students of French or international program (English) of Terminales, Bac, 1ère, Seconde , Patent, competitions and medical university preparatory classes or 1st and 2nd university years either at home or by internet online by the virtual class method of shared interactive whiteboard more than zoom or Skype to communicate.
Homework help for CNED students.
For more information, do not hesitate to contact me, answer in a few minutes up to 12 hours maximum..

Jeremy

5.0

(40)

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 5 years of experience teaching Physics and Maths to kids from unprivileged backgrounds both in a homework schools as well as via private teaching.

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

5.0

(40)

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.

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 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).

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.

Baia

5.0

(40)

Struggling with school math or preparing for important exams?

In this class, I help students understand math clearly and build real confidence step by step. From middle school to university-level topics, lessons are adapted to each student’s level, goals, and learning style.

Whether you need help catching up, improving grades, preparing for exams, or mastering advanced topics, lessons focus on real understanding instead of memorization.

✨ Personalised approach
📘 Clear explanations and structured problem-solving
🏆 Experience with IB, OMPT, VWO, exams, and university math

Let’s turn “I don’t get it” into “I understand this.

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...

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!”

Reza

5.0

(40)

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! :)

Eugene

5.0

(40)

I am a 2021 IGCSE graduate and a 2023 IB graduate, now studying Veterinary Medicine at the University of Edinburgh. Having recently completed these programmes myself, I understand the challenges students face and how to overcome them effectively.

With 2 years of experience teaching the IGCSE and IB syllabus, I specialize in helping students master subject content, strengthen exam techniques, and build confidence. My lessons are tailored to each learner’s pace and goals, ensuring steady progress and measurable results.

What I offer:
- IB & IGCSE syllabus coverage across core and extended levels
- Exam preparation with past paper practice and detailed feedback
- Structured guidance for Internal Assessments (IA), Extended Essays (EE), and coursework
- Study and time-management strategies designed to reduce stress and boost performance
- A supportive, relatable learning environment from someone who has recently been through the same exams successfully

Oyetayo

5.0

(40)

Are you looking to improve your understanding of Mathematics, Physics, or Chemistry? I offer engaging and personalized online and in-person lessons designed to help students excel in school
My teaching style focuses on simplifying difficult concepts, building confidence, and improving problem-solving skills. Every lesson is interactive, with clear explanations, worked examples, and practice questions tailored to each student's needs.
Whether you need help catching up in class, preparing for exams, or achieving top grades, I am committed to helping you reach your academic goals.

Naya

5.0

(40)

The journey to excellence in mathematics begins in the early school years. When a child has a strong foundation in numbers, arithmetic operations, and logical reasoning, studying mathematics in later stages becomes easier and more enjoyable. A weak foundation, however, is the primary reason for difficulty with the subject and a lack of self-confidence in subsequent years.

I offer a specialized program to teach children mathematics in a fun and interactive way, moving away from rote memorization and passive learning. My goal is for children to understand how to think before they learn how to solve problems, because sound reasoning is the foundation of success in mathematics.

In my teaching, I relied on a simplified method that suits the child’s age and ability to comprehend, with activities and examples that help him gradually acquire basic skills until he becomes able to solve problems with confidence and independence.

The program includes:

Establishing the child's foundation in numbers and basic arithmetic operations.

Developing logical thinking and problem-solving skills.

Strengthening skills in addition, subtraction, multiplication, and division.

Understanding fractions, geometric shapes, and basic concepts.

Improving the speed and accuracy of the solution.

Addressing weaknesses and building self-confidence.

Help with homework and test preparation.

Making mathematics a fun subject instead of a source of anxiety.

We have helped over 100 children build a strong foundation in mathematics during their early school years, and parents have noticed a clear improvement in their children's level, self-confidence, and academic performance. A personalized learning plan is developed for each child, whether they need to start from scratch or strengthen their existing skills.

The lessons are suitable for children in the primary stage, and are offered in person in Sharjah and Dubai or online, with continuous follow-up to ensure the best results.

Abdelmalek

5.0

(40)

- Modbus Protocol Introduction
- Modbus Frame Structure & Byte Analysis
- Modbus Exception Handling & Error Codes

Each module in this series is structured with core learning content followed by two mandatory practical components:
Challenge: A hands-on troubleshooting or design scenario to test your practical skills.
Audit: A checklist and verification quiz to ensure full mastery before moving to the next section.

Bala

5.0

(40)

I offer online Mathematics tutoring for Cambridge IGCSE and International A-Level students. I am currently studying Mathematics at University College Dublin and have around four years of tutoring experience.

My lessons are focused on helping students actually understand the topic, rather than just memorising steps. I explain concepts clearly, work through examples together and then help the student practise exam-style questions on their own.

I can help with weak topics, homework, revision, past papers and exam technique. Lessons are adapted to the student’s level, whether they need help with the basics or want to push towards a higher grade.

I currently teach Cambridge IGCSE Mathematics 0580 and Cambridge International AS & A-Level Mathematics 9709 in English.