Foundations of Engineering and Calculus: From Math to Mechanics

From 15.54 £ /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!

Adam

4.88

(85)

Advanced physics demands much more than the application of formulas: it requires a deep understanding of phenomena, a rigorous method of reasoning, and a genuine capacity for analysis.

For over 35 years, I have been supporting students in preparatory classes, universities and engineering schools in their progress in physics and engineering sciences.

My goal is to help you understand the fundamental concepts, solve exercises methodically, and prepare effectively for your exams or competitions.

Subjects taught
Mechanical
Electricity and Electromagnetism
Thermodynamics
Oscillations and waves
General Physics
Engineering Sciences
Methodology for solving scientific problems
An effective working method

Each session is tailored to your program and objectives.

We work from your course materials, tutorials, past papers or exam questions to identify the points of difficulty and acquire a solid problem-solving method.

I place particular emphasis on understanding physical concepts, scientific reasoning and writing quality, essential skills for success in scientific fields.

Course structure

The sessions take place entirely online with an interactive digital whiteboard and screen sharing.

Demonstrations, calculations, and exercises are carried out together in real time in order to immediately check understanding and correct reasoning errors.

Available formats

60-minute session

Ideal for preparing for a tutorial, understanding a difficult chapter or solving a complex exercise.

90-minute session

Recommended for refresher courses, exam preparation, midterms, or in-depth study of an important chapter.

My commitment

My goal is not just to help you pass an exam, but to enable you to understand physics with more method, confidence and autonomy.

Whether you are preparing for a preparatory class, a scientific degree or an engineering school, I will be happy to support you in your progress.

Robert

4.88

(85)

Online tutoring for mathematics by maths graduate and qualified teacher with 20 years teaching experience with 10 years private tutoring. 4000+ hours private tutoring since 2014.

IGCSE, A' level, IB HL/SL, European BAC and undergraduate examinations in UK, NL, BE. STEP, MAT & PAT (Cambridge, Warwick, Oxford entrance exams). Physics IB/A' level possible. Tutoring for the 'Examen d'entrée en Polytech' for Belgian Universities and French or Flemish-speaking Belgian school system. Also KU Leuven Bachelor in Business Administration (BBA).
All lessons delivered in English.
My particular strength is in preparing students for examinations across all maths syllabuses.

Knowledge of the new 2019 IB maths courses:
- Analysis & Approaches SL/HL
- Applications & Interpretations SL/HL

BSc (Hons) Mathematics: First Class
PGCE Mathematics (Secondary)

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 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!

Mohamed

4.88

(85)

I am Mechatronics Engineering Master's student.

For School Students (Primary),
I can teach science
I can prepare the lessons from the school files or by the photos of the school books.

For School Students (Middle and High),
I can teach Physics.
I can prepare the lessons from the school files or by the photos of the school books.

For College Students,
I can teach the Engineering Students.

Samaa

4.88

(85)

With over 4 years of experience I teach math curriculums (GCSE, IGCSE, IB CNISE, SAT) to students from earlier stages, elementary to high school. I focus on all mathematical concepts, develop classroom materials, organize activities, assign homework, grade tests, and prepare students for exams. I prepare mathematics curriculum for my students, like college entrance exams.

I demonstrate excellent mathematics skills and analytical thinking alongside solid instruction. I instruct my students throughout the year and create lesson plans, assign homework, and manage online classrooms. I keep in touch with parents to be aware of the progress.
I hold a Master's degree in Engineering with teacher education courses and I've achieved the highest grades in my math courses throughout the years with straight A Grades.

My Responsibilities towards my students
-Create a great environment that is conducive to learning.
-Care for and effectively assist students with special concerns.
-Analyze data to determine student progress and achievement.
-Work with individual and small groups of students to support mathematics instruction.
-Encourage students who need extra help
-Plan and carry out instructions, activities and prepare learning materials.
-Maintain appropriate records and follow required procedures and practices.
-Work with students to develop and monitor academic goals for both short-term and long-term success.

My qualifications
-Master Degree in Engineering
-An experienced teacher for over 4 years
-Experience with calculus, geometry, statistics, and trigonometry.
-Dedication to instruction of critical thinking and problem-solving with confidence in a collaborative environment.
- Leadership skills and a positive attitude when assisting with decision making.
-Demonstrated professionalism and dedication to continuous improvement.
-Time management skills.

Pia

4.88

(85)

You are a university student and have trouble with your math courses? Don't fret, I'm here to help! It doesn't matter whether you are a math student or from a different major, whether you are from an applied background or struggle with pure maths - the lessons will only cover what you need. Mathematics has a lot to do with practice and getting familiar with the way of thinking logically. With my help and guidance, I am sure you will become confident in solving problems and understanding mathematical concepts.

The lessons will be tailored to your needs and their structure depends highly on you: usually it is a mixture of repeating the content, solving exercises together, summarising important concepts and talking about exercises you tried yourself at home. The topics, content, pace and methods of learning will be adjusted to your needs, ensuring that you get the most out of my lessons. Besides the lessons, you will get "homework" to work on to strengthen your skills and independent working.

Topics include, but are not limited to:
-Trigonometry
-Geometry
-Linear Algebra
-Calculus (limits, derivation, Integration, etc.)
-Set Theory and Metrics
-Analysis (functions, Taylor series, etc.)
-Algebra (Group/Ring/Field theory, Galois theory, etc.)
-Number Theory (sequence and series)
-Probability (statistics, stochastic processes, etc.)
-Logic and Proofs
-Numerical Analysis
-(Algebraic) Topology (Homology theory, etc.)

If you have another topic in mind that you really need help with, just send me a message!

Whether you need someone that explains the concepts to you or just someone to practice exercises with - I am sure I can help you. You have an exam soon and want to review the main topics? No problem! You have a very specific problem, question or topic that you need help with? I'm here to answer any questions!

The most important part of my lessons is, however, to ensure a safe and comfortable environment - I have no issue with explaining the same concept over and over again until I am convinced that you have understood it. It is important to me that you feel comfortable in asking any questions - I want to show you, that Math is more than a subject and that it can be fun!

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!

.

Aqsa

4.88

(85)

Build a strong foundation in mathematics with personalized lessons in Calculus, Algebra, and Trigonometry. Whether you're looking to improve your grades, prepare for exams, or deepen your understanding, this course adapts to your level and learning pace.

Algebra: Equations, inequalities, polynomials, and functions

Trigonometry: Angles, identities, graphs, and real-world applications

Calculus: Limits, derivatives, integrals, and problem-solving techniques

Ideal for high school and college students, or anyone needing a math boost. Lessons are interactive, supportive, and tailored to your goals. Let's make math easier and more enjoyable.
Our personalized, one-on-one classes focus on clear explanations, interactive practice, and real-life applications to help you gain confidence and improve your grades.

Available for all levels | Flexible scheduling | Exam preparation support.

Let’s get started! Book your first lesson now, and we’ll make math easier and more enjoyable together.

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! :)

Faten

4.88

(85)

This fun and interactive math class is designed to help kids build strong math skills and confidence while enjoying the learning process! Through games, real-life examples, and easy-to-follow explanations, students will explore essential math topics such as addition, subtraction, multiplication, division, fractions, and problem-solving.

Each lesson is adapted to the child’s level and learning pace, encouraging curiosity, critical thinking, and a love for numbers. My goal is to make math simple, engaging, and rewarding for every student.

Whether your child needs extra help with schoolwork or wants to get ahead, this class provides the perfect balance of learning and fun!

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 over 100 students from 10+ universities worldwide, I have developed a deep understanding of the specific homework structures and exam styles used in modern higher education. I provide comprehensive support for Calculus 1, 2, and 3, ensuring you don't just pass, but master the material.

Ankush

4.88

(85)

Master AP Calculus AB/BC & Precalculus with an experienced international mathematics educator having 14+ years of teaching expertise across AP, IB, SAT, ACT, A Levels, and advanced high school mathematics.
This course is designed for students who want to build a strong conceptual foundation, improve problem-solving speed, and achieve top scores in AP examinations while developing genuine mathematical confidence.
What Students Will Learn
AP Precalculus

Functions and transformations

Polynomial, rational, exponential & logarithmic functions

Trigonometric functions and identities

Complex numbers and vectors

Conic sections and analytic geometry

Mathematical modeling and graph analysis

AP Calculus AB

Limits and continuity

Differentiation techniques

Applications of derivatives

Curve sketching and optimization

Integration and area under curves

Fundamental Theorem of Calculus

Differential equations and motion problems

AP Calculus BC

Advanced integration techniques

Parametric, polar & vector functions

Sequences and series

Taylor & Maclaurin series

Convergence tests

Advanced applications of calculus

Teaching Methodology

Step-by-step conceptual teaching

Focus on AP-style problem solving and exam strategies

Personalized attention in every session

Use of graphical visualization and intuitive explanations

Regular assignments, quizzes, and timed practice tests

Special emphasis on avoiding common mistakes and maximizing scores

Why Choose These Classes?

14+ years of international teaching experience

Experience teaching students from USA, Canada, UAE, UK, Singapore, and India

Proven success in helping students achieve top AP scores

Expertise in handling both advanced learners and students needing strong foundation building

Support for school coursework, homework, test preparation, and competitive exams

Whether you are aiming for a 5 in AP Calculus AB/BC, strengthening your Precalculus concepts, or preparing for university-level mathematics, these classes provide structured guidance, rigorous practice, and individual mentoring to help you excel with confidence.

Baia

4.88

(85)

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.