Foundations of Engineering and Calculus: From Math to Mechanics

From 28.11 C$ /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 -05:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Jeremy

4.75

(16)

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 experience teaching Physics and Maths to kids from unprivileged backgrounds at the homework school in Saint-Gilles (CASG du Service Social Juif asbl) as well as 5 years of 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!

Samaa

4.75

(16)

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.

Bibek

4.75

(16)

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).

Pia

4.75

(16)

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!

Mohamed

4.75

(16)

As a high school teacher with a Master's degree in mathematics and 11 years of experience in face-to-face and online teaching, I offer qualified and competent private lessons for all levels, ranging from high school TC-SC 1Bac Sc-SM to Bac PC-SM, through middle school and classes of 2nd and 1st general Terminale specialty of the French system, as well as for levels 5th, 4th and 3rd of middle school, and preparation for the baccalaureate and competitions .

I emphasize the method, with a rigorous, personalized approach adapted to the rhythm of each student in order to help him progress while regaining confidence in himself. My job is to identify each student's shortcomings, organize their time and manage their priorities.

I obtained a success rate of 100% for my final year baccalaureate students, 75% of whom obtained a good or very good mention. Some of them have joined the biggest business and engineering schools, as well as prestigious preparatory courses.

I offer online or face-to-face lessons.

Medo

4.75

(16)

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

4.75

(16)

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.

Francisco

4.75

(16)

With 7+ years' experience in education, I have coached over 50 students to improve their academic results and boost their confidence in math and physics.

My tutoring services always include a personalized plan for each student. This plan is established during the first session where I like to meet the student, better understand their difficulties and get to know their schedule.

In the first session, we will:

- Get to know each other.
- Understand the student's strengths and identify areas for improvement.
- Understand the student's needs and difficulties.
- Get to know the student's schedule.
- Create a tutoring plan

Typically, sessions take place as follows:
i. Theoretical review of complex concepts in simple terms
ii. Tips for solving problems
iii. Abundance of exercises from my databases (exams, exercises)

If you are interested in my services, please provide the following information when contacting me:

- School system (French Bac, Matu, IB, A-levels)
- Location of tutoring (or video tutoring if applicable)
- Number of sessions per week and preferred days and times of the week (this can also be discussed after the first session, if you prefer)

Check out my profile if you want to know more about me :)

See you soon,
Francisco

Ayoub

4.75

(16)

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!

.

Emmanuel

4.75

(16)

Dive into the dynamic world of engineering and science with this comprehensive course designed for aspiring engineers and scientists. This course is structured to provide you with a robust foundation in key principles and practices that are essential in these fields.

You'll explore fundamental concepts in physics, chemistry, and mathematics, and learn how to apply these principles to solve real-world problems. The course covers critical topics such as mechanics, thermodynamics, materials science, and electrical circuits.

In addition to theoretical knowledge, you'll engage in hands-on projects and experiments that illustrate practical applications. You'll develop skills in data analysis, experimental design, and technical communication, preparing you for advanced study or a career in engineering and science.

Join us to unlock the potential of engineering and science, and start your journey towards innovation and discovery.

Eduardo

4.75

(16)

👋 Do you find math difficult, confusing, or do you feel it's holding you back academically?
You're not alone. Many students lose confidence because they lacked a solid foundation or because the pace of the class wasn't right for them. The good news is that it is possible to learn math safely and without stress.

I am Eduardo, a mathematician and teacher with more than 10 years of experience in online teaching internationally.

🎓 I work with students from:

✔️ International Baccalaureate (IB) School
Classes focused on deep understanding, problem-solving and preparation for IB-type assessments and exams, using specialized material and clear strategies.

✔️ University
Classes in Basic Mathematics, Differential and Integral Calculus, Differential Equations, Linear Algebra, Topology, among others.
I have accompanied students of Economics, Administration, Engineering and Science, helping them to pass demanding courses and significantly improve their academic performance.

💻 What do you get in my online classes?

🔹 100% personalized classes, adapted to your level, pace and goals.
🔹 Clear, patient, and pressure-free explanations.
🔹 Flexible schedules that fit your availability.
🔹 Specialized digital material and progressive exercises.
🔹 Continuous follow-up and direct communication with me.
🔹 Visible results from the first weeks, reflected in greater understanding, confidence and better grades.

📌 My goal is not for you to memorize formulas, but for you to understand, gain confidence, and be able to solve problems on your own.

📩 If you want to improve in math and leave frustration behind, write to me and let's talk.
Together we will find the best way to help you move forward.

Faten

4.75

(16)

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

4.75

(16)

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.

Shweta

4.75

(16)

his mathematics class is designed to support and challenge students aged 7 to 17, adapting to their school level, learning pace, and individual goals. Whether a student is building foundational skills, catching up, or aiming to excel, the class provides a structured, engaging, and confidence-building learning environment.

What the Class Will Be Like

1. Personalized Learning: Each student’s current level is assessed first.
Lessons are tailored to match school curriculum requirements and personal strengths or difficulties.
Younger students focus on understanding concepts, while older students work on accuracy, speed, and depth of problem-solving.

2. Concept-First Approach: Emphasis is placed on why mathematics works, not just memorizing formulas.
Concepts are explained using simple language, visuals, real-life examples, and step-by-step reasoning.
Students are encouraged to ask questions freely and think out loud.

3. Age-Appropriate Topics:
Ages 7–10: Number sense, basic arithmetic, fractions, shapes, measurements, and logical thinking through games and activities.
Ages 11–14: Integers, ratios, percentages, algebra basics, geometry, data handling, and word problems.
Ages 15–17: Advanced algebra, equations, functions, trigonometry, coordinate geometry, statistics, and exam-oriented problem solving.

4. Interactive and Engaging Sessions:
Lessons include practice problems, short challenges, quizzes, and guided problem-solving.
Mistakes are treated as learning opportunities to build confidence.
Students are taught multiple methods to solve problems, helping them choose what works best for them.

5. Skill Development Beyond Exams:
Logical reasoning and analytical thinking
Time management and structured problem-solving
Confidence in approaching unfamiliar questions independently

6. Regular Feedback and Progress Tracking:
Continuous feedback is given to students and parents.
Weak areas are revisited until clarity is achieved.
Improvement is tracked over time, not just through marks but through understanding.

Learning Environment: The class atmosphere is supportive, patient, and motivating, ensuring students feel comfortable learning at their own pace while being gently challenged to grow.

Goal of the Class:
To help students not just do mathematics, but understand it, enjoy it, and feel confident using it—both in school and beyond.

Joash

4.75

(16)

This course is designed to help you truly understand mathematics in a structured and practical way. Whether you are struggling with the basics or working toward advanced topics, lessons are tailored to your level and goals.

We focus on building strong foundations in algebra, functions, calculus, and problem-solving strategies. Instead of memorizing steps, you will learn to understand concepts and apply them confidently to exams and real-life problems.

Each lesson is interactive and structured, with step-by-step explanations using a digital whiteboard. The goal is steady progress, deeper understanding, and growing confidence in mathematics.