Foundations of Engineering and Calculus: From Math to Mechanics

From 18 € /h

This class is designed to provide students with a strong foundation in both mathematics and core engineering subjects. We will cover Pre-Calculus, Calculus I & II, and Differential Calculus, alongside essential engineering topics such as Statics of Rigid Bodies, Physics, and Thermodynamics. Students will also be introduced to Computer-Aided Design (CAD) and fundamental programming skills relevant to engineering. Classes will be interactive and engaging. I will share my screen to present concepts clearly, use a tablet to solve problems live, and provide custom modules and reading materials. Participation is highly encouraged, and I create a welcoming environment where students feel confident to ask questions and share their thoughts. Progress will be assessed through seatworks, quizzes, and tests, all designed to support learning in a fun, collaborative way.

Extra information

As a courtesy to everyone in the class, please keep your microphone muted by default. If you’d like to speak or ask a question, kindly raise your hand or use the chatbox. Feel free to communicate and engage, questions are always welcome—but please do so without disrupting the flow of the session. I also highly encourage turning on your camera to foster a more interactive and connected learning environment, though it’s not required.

Location

Online from Philippines

About Me

Aerospace Engineering graduate with strong background in Math, Physics, and Engineering subjects

Experienced in teaching Calculus, Algebra, Thermodynamics, and Statics of Rigid Bodies

Passionate about making complex concepts simple and engaging for students

Skilled in using digital tools like PowerPoint, screen sharing, and a tablet for real-time problem-solving

Patient, approachable, and encourages active participation in every session
Previously tutored Math and English and led STEM activities for children (e.g., rocketry and UAVs)
Provides customized learning materials and quizzes to track student progress
Strong communication and leadership skills developed through hands-on engineering projects and competitions
Committed to helping students gain confidence and succeed academically

Education

I graduated Cum Laude with a Bachelor of Science in Aerospace Engineering from Ateneo de Davao University in 2025, with a GPA of 3.5/4.0. During my studies, I was actively involved in various engineering projects and research initiatives. I led the university’s rocketry team in national and international competitions, designed CubeSat systems for my undergraduate thesis, and gained hands-on experience in propulsion development, simulation tools like SolidWorks and ANSYS, and programming. My academic journey combined rigorous coursework with real-world applications, preparing me to solve complex engineering problems with both technical skill and creativity.

Experience / Qualifications

Intercollegiate Rocket Engineering Competition 2025 (Midland Texas, USA)
Spaceport America Cup 2024 (New Mexico, USA)
Persistence Solid Rocket Project
CubeSat Probe-Drogue Docking Mechanism (Undergraduate Thesis)
HEPTA-Sat Training Program (UNISEC)

Age

Teenagers (13-17 years old)

Adults (18-64 years old)

Seniors (65+ years old)

Student level

Beginner

Intermediate

Advanced

Duration

30 minutes

45 minutes

60 minutes

90 minutes

120 minutes

The class is taught in

English

Tagalog

Skills

Engineering

Calculus

Cad software

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

Matías

4.88

(85)

Do you want to master the most used design software and bring your ideas to life in 3D? Do not search anymore ! I offer specialized courses to guide you through the exciting worlds of CATIA V5/V6, Inventor, Fusion 360, FreeCAD and 3D printing.

CATIA V5/V6: Discover the design software preferred by engineers for creating complex models and precise assemblies.

Inventor: Dive into the world of mechanical design and learn how to develop innovative products with this powerful software.

Fusion 360: Create organic models, run simulations, and hone your design and engineering skills.

FreeCAD: Explore the basics of parametric design and create 3D models ready for manufacturing.

️ 3D printing: Bring your designs to life! Learn how to use 3D printers, from modeling to concrete production.

Whether you're a beginner or looking to improve your skills, my classes are suitable for all levels. With interactive lessons, hands-on projects, and expert guidance, you'll progress quickly and with confidence.

Don't wait to explore the endless potential of 3D design and 3D printing. Join me on this exciting adventure and start creating your own 3D masterpieces today!

Don't miss this opportunity to develop in-demand skills in 3D design and printing. Join me for enriching and practical lessons you won't forget!

See you soon for our first class together!

Haider

4.88

(85)

Welcome!

I have already completed my master’s degree in mechanical engineering and am currently doing my doctorate.

Tutoring is offered in

✔AutoCAD
✔CREO
✔NX
✔SolidEdge
✔Inventor
✔SolidWorks
✔Ansys
✔CFX
✔Fluent
✔OpenFoam
✔Word
✔OneNote
✔Excel
✔Visio
✔Matlab
✔Simulink
✔German
✔English

+ other subjects on request

When contacting please
Class / study / training and subject
notify!

I'm looking forward to your messages.

Leila

4.88

(85)

I provide high-level instruction in university mathematics and statistics for students in STEM, Economics, Engineering, and Data Science programs. This class is designed for students who require conceptual depth, mathematical rigor, and practical analytical skills, not surface-level tutoring.

I teach core university subjects including Calculus I–III, Linear Algebra, Differential Equations, Probability, and Statistics, with a strong emphasis on understanding how mathematical theory is applied in real academic and research contexts.

My approach goes beyond standard problem-solving. I help students:

develop mathematical reasoning and proof-based thinking

connect abstract theory to applied models and real data

understand how mathematics underpins research papers and empirical studies

interpret formulas, graphs, and statistical results critically

move confidently between theory, computation, and interpretation

In addition to coursework support, I assist students with:

statistical analysis of research data

understanding and reproducing methods used in academic papers

regression analysis, probability models, and data interpretation

preparing mathematical and statistical sections of research projects

With extensive experience teaching at both international universities and research-oriented environments, including work as a Math and Statistics tutor at the University of Wisconsin–Madison, I understand the expectations placed on university students and researchers. I help students bridge the gap between lectures and independent academic work.

Sessions are structured, intellectually demanding, and personalized. I work with motivated undergraduate and graduate students, as well as adult learners who need mathematics for research, professional growth, or advanced study.

Sincerely,

Leila

Jeremy

4.88

(85)

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 6 years of experience teaching Physics and Maths to kids from unprivileged backgrounds both in a homework schools as well as via private teaching. In private teaching, I have experience tutoring people with learning disabilities (ADHD, Dyslexia, Discalculia and more), younger kids of ages 7-12 and older students preparing for their final baccalaureate exams in advanced maths/physics curriculums.

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!

Adam

4.88

(85)

===================Satisfied or refunded=======================
Hello, I am a doctoral student in electrical engineering and associate professor in engineering sciences, experienced in the field of electrical engineering, I offer courses in engineering sciences (Electronics, automatics, electrical engineering, automation, programming).
Computational Sciences and Technology SNT
IS engineering sciences
Numerical and computer science SNI
Digital electronics
Analog electronic
electromagnetism
Signal processing and data acquisition
Automatic (discrete, continuous)
electrical engineering (transformers, electrical machines, switching power supply)
C/C++ Programming, Assembler, ARM, STM32
renewable energy (wind, PV-solar)
RDM - strength of materials mechanics of solids
Python and SYSML
PIC microcontroller
Microprocessor
MATLAB, proteus
Preparation for competitions
Supervision of graduation projects
CAPLP Electrotechnical and Electronic Electrical Engineering
CAPLP and BTS subjects and answers
Correction caplp 2017 CAPLP 2018 CAPLP 2019 CAPLP 2020
CORRECTION OF BTS TESTS

Bibek

4.88

(85)

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).

Baia

4.88

(85)

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.

Nicolas

4.88

(85)

As a current Master's student in Aerospace Engineering at TU Delft, I have successfully navigated the entire Bachelor's curriculum and the competitive selection procedure, so I am fully equipped to guide you through the study plan and specific admission requirements. I offer personalized tutoring sessions designed to ensure comprehensive preparation for the entrance exams. These classes include a detailed review of key concepts in Mathematics and Physics, intensive practice with relevant exercises, and specific strategies to tackle the test effectively. I also place a dedicated focus on mastering the First Year Material (FYM) section (often the most challenging and unfamiliar part for applicants) to help you build the confidence and skills necessary to succeed. Furthermore, I am happy to discuss the degree program itself and explore the opportunities available in Delft to help you prepare for your future student life.

Ayoub

4.88

(85)

This preparation session is dedicated to students aiming for preparatory classes for scientific Grandes Ecoles (CPGE), with a particular focus on the subjects of Physics and Engineering Sciences. The goal is to strengthen the foundations and deepen the knowledge to succeed.

1. Mechanics:
Kinematics: Study of rectilinear and circular movements, position vectors, speed and acceleration.
Dynamics: Newton's laws, work and energy, kinetic energy theorem.

2. Electromagnetism / Electrokinetics:
Electrostatics: Electric charges and fields, electric potential, capacitance.
Magnetostatics: Magnetic fields, Lorentz forces, electromagnetic induction.
Alternating Currents: RLC circuits, resonance, impedance.

3. Thermodynamics:
Principles of thermodynamics: Internal energy, heat, work, first and second principles.
Ideal and real gases: Equations of state, thermodynamic transformations.

4. Industrial sciences:
Automatic Linear, Kinematic, Static.

For more information and to register for the preparation session, please contact me.

Good preparation and success in your studies!

.

Reza

4.88

(85)

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

4.88

(85)

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

4.88

(85)

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

4.88

(85)

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.

Mohammad

4.88

(85)

PhD physicist and nuclear engineer with over 10 years of research experience at CERN and CNRS, offering tailored private lessons in physics and applied mathematics for university students and motivated high school students preparing for higher education.
I specialise in helping students build genuine understanding of the principles behind complex problems, not just memorise formulas for exams. My teaching adapts to your level, your pace, and your specific goals.
Topics I can cover include classical mechanics, thermodynamics, fluid mechanics, electromagnetism, quantum physics, nuclear physics, radiation physics, applied mathematics, differential equations, linear algebra, probability and statistics, and numerical methods.
I have a PhD in nuclear engineering from Université Grenoble Alpes, an MSc in nuclear plant design from Université Paris-Saclay, and a BSc in nuclear engineering. I have worked as a research fellow at CERN and as a doctoral researcher at CNRS, and I have supervised students and interns throughout my career.
Lessons are available online via video call or in person in Geneva. I am flexible on scheduling and happy to discuss your specific needs before we start.

Alaaeldin

4.88

(85)

Learn PLAXIS 2D & 3D and Geotechnical Engineering with a PhD Researcher in France!

I am a PhD candidate in Geotechnical Engineering at the University of Lille, France, specializing in finite element modelling (FEM), soil–structure interaction, and advanced numerical simulations.

I offer personalized online lessons for civil engineering students, master's and PhD students, researchers, and practicing engineers.

What you can learn:

PLAXIS 2D & 3D
Getting started with PLAXIS and understanding the modelling workflow.
Geometry creation, soil layers, materials, and boundary conditions.
Soil constitutive models and parameter selection.
Mesh generation and staged construction.
Foundation settlement and soil–structure interaction.
Retaining walls, excavations, and underground structures.
Results interpretation and model validation.

Geotechnical Engineering

Soil Mechanics and Foundation Engineering.
Earth pressure and retaining structures.
Settlement and bearing capacity.
Soil–structure interaction.
Personalized Learning

Lessons are adapted to your experience, from beginner to advanced level. We can work through practical examples, discuss theoretical concepts, or review your own numerical models step by step.

My goal is to help you understand both the engineering principles and their practical implementation in numerical modelling software.

Lessons are available online in English, Arabic, or French.

Feel free to contact me to discuss your learning objectives and arrange a personalized lesson!