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

From 29 € /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

28 € /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

29 € /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)

Teacher. experienced for over 18 years gives private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology for French and International programs.
I give private lessons on site or online through a shared interactive whiteboard equipped with pens of different colors on which each of us can write, type, correct and display the work more than Zoom or Skype to communicate to us. I have been practicing this method for more than 6 years with this very modernized and VERY RELIABLE method (it's like we are in the same place).
The results of my students and in particular the students of Terminale are superb ALL in mention very well and some excellent. I give my students the working technique to get the best grades.
ALL THOSE WHO TRY THIS METHOD PREFER.
Do not hesitate to contact me for more information, answer in a few minutes up to 12 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 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).

Mohamed

5.0

(40)

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

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.

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

Zeinab

5.0

(40)

With a doctorate in mathematics and experience as a university lecturer, I have dedicated several years to teaching students in France and internationally. I support students of varying levels, emphasizing a clear, progressive, and comprehension-focused approach.

Patrick

5.0

(40)

As a mathematics teacher (CAPES), currently preparing for the agrégation, I offer personalized support in mathematics for middle school, high school and university students (BTS).
My background is atypical: I have worked for more than 25 years in the private sector in general management internationally (Europe, Africa), which allows me to bring a concrete and applied approach to mathematics.
I primarily offer online lessons, which allows me to support students throughout France. I also offer in-person lessons at students' homes in the region (subject to availability).
My services: refresher courses, preparation for brevet/baccalaureate and post-baccalaureate exams, applied mathematics (BTS, management, commerce), assistance to students in difficulty.
My method: simple and progressive explanations, a practical approach (linking to real-world situations and businesses), and personalized follow-up.
Objective: to give you confidence and help you progress quickly.
Online courses offer great flexibility, save time, and are incomparably (or even superior) to in-person classes.
I also teach in English.

Ankush

5.0

(40)

Mathematics, Physics and Chemistry for A levels/further mathematics and Physics IGCSE (AS /A level), IB HL /SL-AA and AI and Ed excel, CBSE, and OCR. I'm a firm believer in the power of knowledge and love to share my expertise with students of all ages.
Besides I also prepare the students for various other exams like AMC -8,10 and 12,MAths olympiads,ACT,SAT,CLAT,AP Calculus AB and BC, AP PHYSICS C/ Physics,AP Chemistry,MECHANICS,GMAT, CAT4, 11 plus, Combined Science, CLAT,LSAT,NMAT,IPMAT,SSC,NIFT,LNAT,HPAT,TMUA,AP Mechanics, AP etc

Maham

5.0

(40)

My lessons are designed to help students understand Maths and Science in a simple, step-by-step way. I explain topics clearly and adapt my teaching to each student’s level and learning pace.

I can help with:
Homework support
Exam preparation
Understanding difficult topics
Building strong foundations in Maths and Science

Subjects covered include Maths and Science depending on the level.

My teaching method focuses on:
Clear explanations with real-life examples
Practice exercises to reinforce learning
Identifying and improving weak points
Building confidence for exams and tests

Lessons are interactive and are adapted to the student’s needs so they can progress effectively and feel more confident in their abilities.

Alessandro

5.0

(40)

I offer personalized tutoring and support in Mathematics, Physics, Chemistry, and Science for middle school, high school, and early university students.

My goal is to make scientific subjects accessible and engaging. Rather than just memorizing formulas, my approach focuses on understanding the core concepts so that problem-solving becomes logical and intuitive.

Whether you need to catch up, build your confidence, or deepen your understanding of the material, I am here to help you reach your academic goals in a relaxed and supportive environment.

Alessandra

5.0

(40)

I am an experienced science teacher currently working at an international school in Switzerland. I offer support in Biology, Chemistry and Mathematics for secondary school, IGCSE and A-Level students.

My lessons are tailored to each student’s needs and focus on building confidence, improving understanding and developing effective study methods. I explain concepts in a clear and structured way and provide support with homework, exam preparation and revision.

I have experience working with students from different educational backgrounds and levels of ability. My goal is to create a supportive and motivating learning environment where students can improve steadily and achieve their academic goals.

Lessons can be held online or in person depending on location and availability.

Joshua

5.0

(40)

Making Mathematics Make Sense — For Every Kind of Learner

Do you struggle with maths, or simply want to get better? You're in the right place.

My name is Mr. Joshua, a qualified Mathematics teacher with experience teaching students across all ages and levels — from basic arithmetic to advanced calculus, algebra, and trigonometry.

Every student learns differently, so I tailor each session around *you* — your pace, your gaps, your goals.

What you can expect:
- A patient, encouraging environment where no question is too basic
- Clear explanations tailored to your pace
- Real-life examples that make concepts click
- Exam preparation when needed
- Flexible sessions that adapt as you grow

Whether you're a complete beginner or preparing for an important exam — I'm here to help you build real confidence in mathematics.

Let's turn your biggest maths challenge into your strongest subject.

Eleni

5.0

(40)

“I support children with special educational needs through personalized teaching methods, patience, and encouragement. My goal is to help every student build confidence, improve skills, and enjoy learning. I believe that every child learns differently, and I adapt my approach to meet each student’s unique strengths and needs while creating a safe and positive learning environment.”