Foundations of Engineering and Calculus: From Math to Mechanics

From 16 £ /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

Matías

4.88

(85)

Do you aspire to master mathematics, physics and engineering at a university level? Do you want to exceed your limits and excel in these demanding fields? Do not search anymore ! Our tailor-made private lessons are there for you.

Why choose our courses?

Unparalleled Expertise: Our professors are experts in their field, with extensive experience in university teaching. They are ready to guide you towards success.

Personalized Program: We tailor each course to your specific needs, from understanding fundamental concepts to solving complex problems.

Total Flexibility: Choose the schedule that suits you best. Whether you are an active student or a professional, we adapt to your schedule.

Constant Support: You will benefit from continuous monitoring between classes to answer all your questions and concerns.

Quality Teaching Materials: We provide high-quality learning resources to support your progress.

Who can benefit from our courses?

High school students preparing for their baccalaureate or entrance exams to engineering schools.

University students pursuing a degree in mathematics, physics or engineering.

Professionals looking to acquire or deepen technical skills.

Join us today!

Excellence doesn't wait. Contact us now to book your first lesson. Together we will build a bright future based on a solid understanding of mathematics, physics and engineering.

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.

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

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.

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).

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! :)

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!

Ammar

4.88

(85)

Engineering and design become much easier when analysis, geometry, technical representation, digital modelling, spatial reasoning, and visual communication are connected within one coherent problem-solving process.

I am a PhD-qualified engineer, university professor, researcher, technical trainer, designer, and multidisciplinary consultant with more than 30 years of experience across engineering, teaching, project work, CAD, technical drawing, 3D modelling, GIS, visualization, information systems, and professional problem solving.

This class provides a personalized pathway for school and university students, engineering and design learners, architects and technicians, researchers, professionals, career changers, and adult learners. Depending on your goals, we can focus deeply on one specialized area or connect several areas within a complete technical workflow.

PHYSICS & APPLIED ENGINEERING SCIENCE
• Mechanics: motion, forces, Newton’s laws, work, energy, momentum, and rotational motion
• Statics, dynamics, equilibrium, torque, and engineering applications
• Fluids, pressure, buoyancy, density, and basic fluid mechanics
• Heat, temperature, thermodynamics, and energy transfer
• Waves, oscillations, sound, optics, electricity, and magnetism according to the learner’s level
• Mathematical modelling of physical systems
• Units, dimensions, vectors, graphs, and interpretation of experimental or engineering data
• Connecting physical principles to engineering design, calculations, and real-world technical problems

CHEMISTRY & ENGINEERING MATERIALS
• Atomic structure, chemical bonding, molecular structure, and periodic trends
• Stoichiometry, chemical reactions, solutions, concentrations, gases, and equilibrium
• Acids, bases, oxidation-reduction, and introductory thermochemistry
• Properties and behaviour of engineering materials
• Metals, polymers, ceramics, composites, and material-selection principles when relevant
• Connecting chemical principles to materials, manufacturing, environmental, and engineering applications

ENGINEERING DESIGN & PROBLEM SOLVING
• Understanding and structuring engineering problems
• Translating requirements into technical objectives
• Identifying constraints, assumptions, variables, and criteria
• Engineering calculations and quantitative reasoning
• Applied mechanics and engineering fundamentals when relevant
• Dimensional reasoning and unit consistency
• Design alternatives and trade-off analysis
• Verification and reasonableness checking
• Engineering decision making
• Design methodology and iterative improvement
• Interpreting technical specifications
• Connecting analysis to drawings, models, and deliverables
• Engineering-management and multidisciplinary project contexts

AUTOCAD & TECHNICAL DRAFTING
• AutoCAD interface and efficient workflows
• Coordinate systems and precise geometric construction
• 2D drafting fundamentals
• Layers, properties, object organization, and standards
• Blocks and reusable drawing content
• Dimensions, annotations, text, and hatching
• Model space and paper space
• Layouts, viewports, scales, and plotting
• Technical drawing principles
• Reading and interpreting engineering drawings
• Plans, sections, elevations, and details
• Drawing organization and documentation quality
• Advanced drafting workflows
• AutoCAD 3D concepts when relevant
• Improving speed, accuracy, and drawing consistency

BIM & REVIT WORKFLOWS
• BIM concepts and model-based thinking
• Revit project organization
• Levels and grids
• Walls, floors, roofs, and building elements
• Doors, windows, components, and families
• Views, sections, elevations, and schedules
• Annotation and documentation workflows
• Sheets and presentation standards
• View templates and graphical consistency
• Family-library organization
• BIM coordination principles
• Connecting models to professional documentation
• Developing structured Revit templates and repeatable workflows

3D MODELLING & PARAMETRIC DESIGN
• 3D geometric thinking
• Curves, surfaces, solids, and meshes
• Constructive and feature-based modelling concepts
• Precision modelling
• Product and engineering geometry
• Architectural and spatial modelling
• Rhino 3D workflows
• Grasshopper and visual parametric thinking
• Parameters, relationships, dependencies, and constraints
• Algorithmic generation of geometry
• Reusable and adaptive design logic
• Design iterations and controlled variation
• SolidWorks and Inventor workflows when relevant
• 3D Studio Max and visualization contexts when relevant
• Connecting models to drawings, analysis, fabrication, or presentation

CAD/CAM & MANUFACTURING WORKFLOWS
• From CAD geometry to manufacturable components
• Design-for-manufacturing principles
• Introduction to CAM concepts and machining strategies
• CNC fundamentals, coordinate systems, tools, operations, and toolpaths when relevant
• SolidWorks CAD/CAM workflows
• Verification, simulation, and interpretation of manufacturing outputs

GIS, MAPPING & SPATIAL ANALYSIS
• Foundations of Geographic Information Systems
• Spatial data models
• Vector and raster concepts
• Coordinate systems and projections
• Georeferencing
• Spatial data collection and organization
• Attribute data and database relationships
• Geodatabases
• Selection and spatial queries
• Buffering, overlay, proximity, and spatial analysis
• Thematic mapping
• Cartographic principles
• Spatial patterns and decision support
• ArcGIS Desktop and ArcGIS Pro workflows when relevant
• Remote-sensing and imagery concepts when relevant
• Integrating maps, analysis, and professional reporting

GRAPHIC DESIGN & VISUAL COMMUNICATION
• Principles of visual communication
• Composition and layout
• Visual hierarchy
• Typography
• Colour and contrast
• Image preparation and editing
• Vector graphics and illustration
• Technical diagrams and infographics
• Maps and spatial presentation
• Engineering and architectural presentation
• Portfolio and project-board development
• Presentation graphics
• Adobe Photoshop workflows
• Adobe Illustrator workflows
• Adobe InDesign workflows
• Connecting technical accuracy with visual clarity

Depending on your objectives, practical work may involve AutoCAD, Revit, BIM workflows, Rhino, Grasshopper, SolidWorks, Inventor, 3ds Max, ArcGIS Desktop, ArcGIS Pro, QGIS, Adobe Photoshop, Illustrator, InDesign, SketchUp, Figma, Canva or other relevant technical and design tools.

My teaching approach follows a structured workflow:
define the problem → understand the requirements → analyze the constraints → develop the geometry or data structure → create the drawing, model, or spatial analysis → verify accuracy → refine the solution → communicate it clearly

I do not simply demonstrate isolated commands. I help you understand why a workflow is appropriate, how information should be structured, how accuracy can be verified, how alternative solutions can be evaluated, and how the final technical idea should be communicated professionally.

We can work with your course syllabus, engineering problem, technical drawing, CAD file, Revit/BIM model, 3D model, parametric definition, GIS dataset, map, design project, portfolio, graphic layout, or professional workflow challenge.

Whether you are learning your first CAD commands, solving an engineering problem, developing a BIM workflow, building a 3D or parametric model, conducting spatial analysis, or improving technical visual communication, I will adapt the sessions to your level, objectives, and pace.

My goal is to help you become an independent technical problem solver who can analyze, design, model, verify, visualize, and communicate solutions with confidence.

Baia

4.88

(85)

I'm a working MEP engineer, currently building Python automation for Revit workflows daily - plan checks, model coordination, and repetitive drafting tasks. I teach other engineers, architects, and BIM professionals how to do the same, using pyRevit and real project workflows, not toy examples.

Topics include:
pyRevit fundamentals and setup
Automating repetitive Revit tasks (model checks, plan generation, data extraction)
Writing custom scripts for your firm's specific workflows
Applying Python automation to real MEP/BIM projects

Lucas

4.88

(85)

*English version below*

Mathematics only becomes truly manageable when you know how to tackle a problem. I help you solve problems independently, so that you can master your subject, as well as all the mathematics that follows.

My approach

We work through the thinking process together, so you discover the solution yourself. No ready-made answers, but the right questions and hints at the right time. This way, you build the skills and confidence step by step to tackle mathematics independently. Soon, mathematics becomes much less difficult and intimidating, and after a while, even fun!

The power of private lessons is more time and more personalization: your questions, your pace, focus on what you need. A session feels like a collaboration. Thinking out loud, trying something out, making a mistake and starting over: it is all part of the process.

My method is based on insights from learning psychology, in particular the model of cognitive apprenticeship (Collins, Brown & Newman, 1989). The idea is simple: first, I make visible how a mathematician thinks, and then I pass that thought process on to you step by step.

How a lesson proceeds

A standard lesson lasts two hours. True understanding takes time, and two hours gives us the space to thoroughly explore problems. One-hour lessons are also possible upon request.

Before the lesson, send me the questions and exercises you are stuck on. I will prepare them so we can get started right away.

During the lesson, we work through your material together: exercises, theory, and proofs. You think, I provide guidance.

After the lesson, you will receive a concise summary and a few questions to work on yourself.

About me

I am studying mathematics at KU Leuven and previously obtained a bachelor's degree in psychology. I offer support in probability and statistics, (linear) algebra and analysis at the university level, and in all secondary education mathematics. Outside of mathematics, I enjoy bouldering, classical piano, and studying Japanese. I also really love being in nature.

English:

I help you become an independent problem solver. Once you learn how to approach a problem, your course becomes manageable, and so does any mathematics you meet after it.

My philosophy

We work through the thinking process together, and with the right hints and nudges, you will be the one finding the answers! This gives you the tools to do mathematics on your own. As you gain confidence, the subject gets a lot less difficult and intimidating. It will even become fun!

Private tutoring lets me build everything around you: your questions, your pace, your sticking points. Our sessions are a collaboration, two people figuring out the mathematics together, where thinking out loud and trying out ideas is encouraged.

My method is grounded in learning psychology, specifically the framework of cognitive apprenticeship (Collins, Brown & Newman, 1989), which focuses on making expert thinking visible and gradually handing it over to the learner.

A standard session

Sessions last 2 hours by default. Real understanding takes time to build, and a two-hour block gives us room to work through problems in depth. One-hour sessions are possible on request.

Before: you send me the specific questions and problems you've run into. I prepare them in advance, so our time goes to working on them rather than me reading them for the first time.

During: we work through your material together, with you doing the thinking and guiding me. This can be exercises, theory, proofs, etc.

After: you get a written recap of the session plus a few guiding questions to keep you moving in your own study.

About me

I'm a mathematics student at KU Leuven, and I previously completed a bachelor's degree in psychology. I tutor probability and statistics, (linear) algebra and calculus/analysis at university level and any secondary school mathematics. Outside of math, I boulder, play classical piano and study Japanese. I also love spending time in nature.

Alonso

4.88

(85)

Preparation for university entrance exams in Physics and Mathematics. I use materials from several prestigious Latin American universities. I also teach Calculus I, Physics, and Mechanical Engineering subjects such as Statics, Strength of Materials, Dynamics, and Fluid Mechanics.
For online classes I use a digitizing tablet connected to the computer and an interactive digital whiteboard that allows me to develop and explain the solution to exercises or the theory in real time directly on PDF or JPG files (they can be exercise or theory guides), which makes the class more enjoyable and efficient and also guarantees the same quality as a face-to-face class.

Dennis

4.88

(85)

An elite academic and educator holding an Astrophysics PhD from Charles University, graduating with highest honors across all degrees.
Bringing years of formal university teaching experience—including serving as a Graduate Teaching Assistant (TA) for Differential Equations and instructing Astrophysics I—I offer unparalleled mentorship in physics and mathematics. My expertise spans from foundational high school concepts to highly abstract pure mathematics (topology, combinatorics) and advanced applied sciences. Having guided hundreds of university students through rigorous STEM coursework, I know exactly where students stumble and how to fast-track their understanding.

Veronika

4.88

(85)

For several years I studied mathematics in depth. I have experience teaching specific topics. With me, you'll understand the concepts and the reasoning behind each rule, not just memorize and forget. We'll start with the basics and gradually increase the level. Math is more fun than you think!

Hugo

4.88

(85)

Does physics confuse you with all its formulas? Do the problem statements seem to be written in a foreign language?

Forces, energy, derivatives, vectors... Behind these intimidating concepts lie simple, visual ideas. My goal: to help you understand them, not just apply them.

These tools may seem difficult at first, but they make perfect sense once you visualize them concretely. That’s the level I’d like to help you reach, using diagrams, analogies, and interactive animations.

I offer physics tutoring, from middle school through college, to help you:
- overcome obstacles and regain confidence,
- prepare for exams (middle school exams, high school graduation exams, midterms, entrance exams),
- make progress on your homework, lab reports, and practice problems.

Each session is tailored to your needs: we’ll review difficult concepts, work through problems together, and I’ll teach you strategies to become self-sufficient.

Contact me to schedule your first lesson: let’s make the abstract clear!