Engineering Mathematics (Vector Calculus, Laplace Transforms, Differential Equations, Complex Integration)

From 34.03 $ /h

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! :)

Location

Online from Netherlands

About Me

I am currently a postdoctoral researcher at Delft University of Technology

I like sharing my knowledge with others. I believe that teaching makes the knowledge I have acquired as a researcher much more valuable. In my idea, successful teachers have several qualities including knowledge, enthusiasm, and student-based teaching methods.

Education

PhD: Mechanical Engineering, Applied Design, 2016
Masters degree: Mechanical Engineering, Applied Design, 2011
Bachelors degree: Mechanical Engineering, Solid mechanics, 2008

Experience / Qualifications

My university teaching experience:
- Lecturer of Mechanical Engineering Design I, Materials Science, Dynamics, Engineering
Mathematics, Engineering Drawing I and II, Mechanics of Materials I and II
- Teaching assistant of Statics, Linear vibration, and Engineering drawing

Age

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

Persian

Skills

Math

Calculus

Mechanical engineering

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

LS-DYNA, ANSYS, MATLAB, ABAQUS, SolidWorks, and Finite Element Modelling (FEM) for Mechanical Engineering Design

32.85 $ /h

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

I have extensive experience in teaching various Mechanical design packages, including LS-DYNA, ANSYS, APDL programming, ABAQUS, MATLAB, SolidWorks, Cura, and Symbolic MATLAB.

Some of the finite element modeling and numerical simulations I have worked on include:
- Multiscale finite element modeling for fatigue crack propagation in porous materials.
- Analysis of multiple-layer sandwich structures' resistance to bird-strike impact [Read paper].
- Investigation of debonding propagation in aluminum and glass/epoxy composite joints under fatigue loading using Fracture Mechanics principles.
- Computational prediction of the fatigue behavior of additively manufactured porous metallic biomaterials.
- Study of the effect of material type, stacking sequence, and impact location on pedestrian head injury in collisions.

If you have any additional questions before starting the class, please don't hesitate to ask me. I am here to help! :)

Systematic Reasoning and Logical Thinking for Computer Science

34.03 $ /h

You will learn Systematic Reasoning & Logical Thinking which is a requirement for entering Computer Science program in many universities.
The book “Delftse Foundations of Computation” especially its second chapter will be the main source of our lesson, but other more in-depth books will be also covered if you want to improve even further on logical thinking.
The topics in our lesson include:
• Propositional Logic: Logical operators; Precedence rules; Logical equivalence; Implications in English; Exclusive or; Universal operators; Classifying propositions
• Boolean Algebra: Substitution laws
• Logic Circuits: Logic gates; Combining gates to create circuits; From circuits to propositions; Disjunctive Normal Form; Binary addition.
• Predicate Logic: Predicates; Quantifiers; Tarski’s world and formal structures;
• Deduction: Valid arguments and proofs; Proofs in predicate logic

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

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 maturity program, as well as the courses of Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology of the level of the 1st year of university, are made by explanations either in depth or by a quick course and summary of essential need according to the case of each student supported by exercises of the book or evaluations and exams of other high schools.
Special program for terminal students.
As well as (International and European Schools in English).
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.

Marie-Lucie

5.0

(40)

I am a master student in quantitative economics and all of my courses are given in English. My goal is to help the student in solving the exercises and to understand the theory but above all to give an effective working method to make him independent in the pursuit of his studies.

Christopher

5.0

(40)

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.

David

5.0

(40)

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

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.

Mohamed

5.0

(40)

Dear future baccalaureate graduate,

The physics and chemistry exam for the baccalaureate requires a solid grasp of the subject matter, effective methodology, and regular practice. I will guide you through your preparation so you can approach the exam with confidence and composure.

🎯 Why choose this support?

✅ Effective methodology: learn to analyze exercises, organize your answers and manage your time during the exam.

✅ Targeted review of the program: mastery of essential concepts in physics and chemistry.

✅ Intensive training: baccalaureate-style exercises, exam series and detailed corrections.

✅ Personalized follow-up: support adapted to your level, your difficulties and your objectives.

📚 What you get:

Clear and structured course summaries
Methodology sheets
Application exercises
Baccalaureate-style assignments under real-life conditions

My goal is to help you reinforce your knowledge, gain confidence and maximize your chances of success in the baccalaureate exam.

📩 Register now to begin your preparation.

Prashil

5.0

(40)

Welcome to my Maths, Physics and Science tutoring class, crafted especially for young minds preparing for IB MYP, IGCSE, and GCSE exams. As a passionate learner and dedicated tutor, I am committed to helping students not only comprehend but also develop a love for these captivating subjects. Here's what you can anticipate from my tutoring sessions

Personalised Learning: Every learner is unique, and I believe in tailoring my teaching methods to suit each student's individual needs. I don't judge; instead, I concentrate on understanding their strengths and areas for improvement to create a supportive and encouraging learning environment.

Concept Breakdown: I dissect complex topics into simpler, more manageable parts, making it easier for students to grasp challenging concepts and build a strong foundation in Physics and Science.

Student-Centred Approach: I enjoy teaching students and continually strive to ignite their curiosity and passion for learning. I aim to make each lesson engaging and enjoyable, helping students recognise the real-world applications of what they learn.

Shared Strategies: As a student who has successfully qualified for the Engineering Entrance exam test and is currently studying abroad on a fully funded scholarship, I bring my own learning strategies and study techniques to the table. These proven methods will help students achieve their academic goals.

Continuous Improvement: I am always learning and growing, just like my students. This continuous improvement mindset, which I actively promote, inspires and motivates students to strive for their best. It enables me to stay updated with the latest educational trends and techniques, ensuring that my students receive the best possible guidance.

Supportive Environment: I encourage students to ask questions, no matter how trivial they might seem. By creating a friendly and comfortable atmosphere, I ensure that students feel comfortable and open to express their doubts and curiosities, leading to a deeper understanding of the subjects.

Renzo

5.0

(40)

Hi! I'm Renzo, a Ph.D. in Mathematics with extensive teaching experience. My goal isn't just to help you pass your exams, but to change how you see math and physics so you can truly understand them instead of viewing them as the enemy.

I adapt to each student's pace, from primary school to university levels (science and engineering majors). How can I help you?

📝 Continuous Reinforcement & Homework: Weekly tracking so you never fall behind.
🎯 Exam Preparation: Targeted strategies to approach your tests with confidence.
⚙️ Advanced Mathematics: Algebra, Calculus, Theoretical Physics, and support for engineering courses.

Classes available in Spanish and English, both online and in-person in Tokyo.

Inês

5.0

(40)

I offer clear, structured tutoring in Mathematics, Chemistry, and Physics, supporting students with both content mastery and exam success at Advanced Subsidiary and Advanced Level (AS and A-Level), for both Edexcel and Cambridge. My lessons focus on clear explanations and the core ideas behind each topic, so things actually make sense.

For exam preparation, I shift focus to exam technique: you'll learn how mark schemes work, how answers are graded, and how to phrase responses clearly so you don’t lose marks because of wording, even when you know the content.

Baia

5.0

(40)

Many students lose confidence in math during the school year due to stress, fast-paced classes, or gaps in understanding.
This summer program helps students rebuild confidence, strengthen fundamentals, and prepare calmly for the next academic year.

This program is designed for students who want to:
- catch up on difficult topics
- prepare for the next school year
- improve grades and confidence
- build strong problem-solving skills
- prepare for exams and entrance tests

Lessons are adapted individually for each student and explained step-by-step in a clear and patient way.
I focus not only on solving exercises, but also on helping students truly understand concepts and think independently.

After the first lesson, I create a personalized study plan based on the student’s level, goals, and areas that need improvement. Lessons are interactive, organized, and supportive, with homework and additional practice materials when needed.
Suitable for:
- Middle school students
- High school students
- IB students
- Students preparing for exams

! ! ! Summer availability is limited to ensure individual attention for each student.

Peter

5.0

(40)

I have experience teaching high school mathematics as well as ESL (English as a Second Language), and I genuinely enjoy helping students build confidence, improve their skills, and develop a strong understanding of key concepts. I have worked with students in both Juku and Eikaiwa environments, supporting learners with different abilities, learning styles, and academic goals. These experiences have taught me the importance of adapting lessons to each student's individual needs and ensuring that learning remains both effective and enjoyable.

I am a native English speaker, an Australian citizen, and hold a Bachelor of Mathematical Sciences together with a TEFL English Certificate. My academic background in mathematics enables me to explain challenging concepts in a clear, logical, and structured way, while my English teaching experience allows me to communicate effectively with students whose first language is not English. This combination is particularly valuable for students who wish to improve both their mathematical understanding and their confidence using English in an academic setting.

My teaching approach focuses on clear, step-by-step explanations, practical examples, and creating a supportive and engaging learning environment. I believe that every student can improve with the right guidance, encouragement, and consistent practice. I am particularly effective at working with students who may be struggling with mathematics, lacking confidence, or preparing for important school examinations. My goal is not only to help students achieve better academic results but also to develop strong problem-solving skills, logical thinking, and independent learning habits that will benefit them throughout their education.

Lessons are tailored to each student's learning pace, strengths, and areas for improvement. I regularly check understanding, encourage questions, and provide constructive feedback so that students can continue progressing with confidence. Whether a student requires assistance with homework, exam preparation, algebra, geometry, trigonometry, calculus, statistics, or general mathematics improvement, I strive to make lessons productive, engaging, and easy to follow.

I understand that many students can feel anxious or overwhelmed when studying mathematics. For this reason, I place a strong emphasis on patience, positive reinforcement, and building confidence through achievable goals and steady progress. I take pride in helping students overcome challenges, develop a more positive attitude toward learning, and discover that mathematics can be both understandable and rewarding.

** I am available in your time zone. **

Click -> "Contact Peter" button and we can have a discussion about your requirements and how I can assist you.

Thank you for your time and consideration. I would be delighted to support your learning journey and help you achieve your academic goals. I look forward to meeting you and helping you reach your full potential in mathematics and academic English.

Expert Math Tutor

Ken

5.0

(40)

I offer my services for personalized private lessons tailored to each student's needs in order to fill gaps in knowledge and boost results.
With 3 years of experience in mentoring, I have been able to get involved, with excellent results, in the "cordées de la réussite" program at ENCPB in PC chemistry, mentor students preparing for entrance exams to the top engineering schools (X, ENS, ESPCI, Mines, Centrale) in math, physics and chemistry, help medical students in organic chemistry, and tutor in physics and chemistry at the Lycée Louis-Le-Grand and at ENCPB in PCSI.
I am currently in my final year of engineering school at ESPCI Paris-PSL, the third-ranked engineering school in France in 2026 and the first in academic excellence, and I attended a PCSI/PC* preparatory class at the Lycée Louis-Le-Grand. I am available during the week as well as on weekends.
I offer tutoring for students from high school (grades 10-12), university preparatory classes, and up to the third year of university (BAC+3), in math, physics, and chemistry. Feel free to contact me if you're interested; I'm responsive and committed to helping every student achieve their goals.

Feten

5.0

(40)

Mathematics doesn't have to be difficult!

I provide personalized math lessons designed to help students understand concepts clearly and solve problems with confidence.

My teaching method focuses on simplifying complex topics using practical examples and step-by-step explanations.

Together we will:

✔ Strengthen mathematical foundations

✔ Improve logical thinking

✔ Solve homework and practice exercises

✔ Prepare for exams with effective strategies

✔ Build confidence in mathematics

Every lesson is adapted to your learning pace and objectives, making mathematics more enjoyable and less stressful.