Foundations of Engineering and Calculus: From Math to Mechanics

From 29 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 -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 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.

Lina

4.88

(85)

I specialize in tutoring math from basic to advanced levels. Whether you need help preparing for exams, solving homework, learning a new topic, or reinforcing prior knowledge, I’ll guide you every step of the way.

My approach focuses on understanding rather than memorization, helping students grasp concepts deeply and apply them confidently.

I can assist in:
- Differential & Integral Calculus
- Multivariable Calculus
- Algebra & Linear Algebra
- Differential Equations
- Trigonometry
- Statistics & Probability

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 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!

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).

Rania

4.88

(85)

[ENG]: Infrared (IR) spectroscopy is a powerful analytical technique used to study the vibrational patterns of molecules. It is widely used in the fields of chemistry, biochemistry and materials science to identify and characterize chemical compounds. Understanding the interpretation of infrared spectra is crucial for accurate analysis of complex samples.
In this online course, you will learn the basics of infrared spectroscopy and its application in chemical analysis. You will learn how to interpret infrared spectra, including identifying characteristic peaks and understanding their relationship to specific chemical functional groups and ligands. You will also learn how to use infrared spectroscopy for quantitative analysis, and how to analyze complex spectra.

By the end of this course, you will have a strong foundation in infrared spectroscopy and will be able to analyze and interpret infrared spectra with confidence. This course is suitable for students and professionals in the fields of chemistry, biochemistry and materials science who wish to expand their knowledge of analytical techniques

Join us to unleash the potential of infrared spectroscopy in your research and analysis.

[French]: La Spectroscopie infrarouge (IR) is an analytical technique for permanently performing vibrational modes of molecules. It is large in the domains of chimie, biochemistry and materia science to identifier and react to chemical compositions. Comprendre l'interpretation des Specters IR is essential for analyzing précise d'échantillons complexes.

Color formations in line, the broad application of infrared conformational rules and the application of its son in chimique analysis. Numerous opinions and comments on the infrared spectra, the testimony in the selected images and the close relationship between the artistic groups and the relationships between chimeric species. également également à utiliser la Spectroscopie IR for quantitative analysis and spectrum complex analyzer.

Accurate disc formation, solid base and IR spectroscopy et al are able to analyze and interpret infrared spectra in confidence. These courses are addressed to students and professions in the fields of chemistry, the body, biochemistry and the science of matériaux that souhaitent élargir leurs connexiones des analytical technologies.

Rejoin us to edit the effective IR spectroscopie in your searches and analysis.

Medo

4.88

(85)

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

4.88

(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.

Roland

4.88

(85)

Math, calculus and physics can sometimes be overwhelming, especially when the theory or solving method is unclear. I am a cum laude Aerospace Engineering graduate from TU Delft and have helped other pupils with their problems since 2017. With my calm and stepwise explanation, a second alternative view of the solution procedure is given, which is often what is missing. I tutor a variety of math and physics courses on both secondary and high school levels, but also at a scientific bachelor level. These can either be theory/exercise-based, but also exam preparation.

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!

.

سيف

4.88

(85)

Are you struggling with math? Do you want to improve your grades and boost your confidence? My personalized math lessons are designed just for you! With over 8 years of experience teaching math, I help students of all levels, whether you're a beginner or working on advanced topics.

In these lessons, you will receive individual attention that will help you:

- Mastering basic concepts such as algebra, geometry, calculus, etc.
- Breaking down complex issues into easy-to-understand steps
- Develop critical thinking and problem-solving skills
- Preparing for exams and improving test-taking strategies

I tailor each lesson to your learning style and individual needs. Whether you're looking to ace an upcoming test or strengthen your overall understanding of mathematics, these sessions will help you build confidence and achieve better results.

I also offer bilingual lessons in English, Arabic, and French, ensuring you learn in the language you feel most comfortable with. Let's work together to reach your full potential!

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! :)

يحيى

4.88

(85)

Lesson:
This course is a cornerstone for any student aspiring to excel in scientific and technological fields. The lesson focuses on transitioning from traditional mathematics to the world of "instantaneous change" through the study of limits, derivatives, and their vital applications.
In this course you will learn:
• A deep understanding of Limits and Continuity.
• Mastering the rules of differentiation for various functions (trigonometric, exponential, and logarithmic functions).
• Applying differentiation to solve real-world problems such as finding maximum, minimum, and time-related rates.
• A preliminary introduction to the concept of integration and spaces.
This content is designed to be a practical and comprehensive guide to help you excel academically and pass exams with high efficiency.
):
Calculus I serves as the bridge between school mathematics and advanced university science. This course is specifically designed to enable students to understand the "language of movement and change" that governs our world, and it is a fundamental and essential requirement for engineering, artificial intelligence, and science students at top universities nationwide.
What will the student learn on this academic journey?
• The philosophy of limits and continuity: We will break the barrier of fear of limits, to learn how to predict the behavior of functions at critical points and how to determine the continuity of curves, which is a vital basis for understanding the stability of geometric systems.
• The Art of Derivative: The student will practice extracting the instantaneous rate of change using advanced differentiation rules (Product, Quotient, and Chain Rules), with a strong focus on trigonometric and logarithmic functions that appear frequently in EmSAT exams.
• Real-world applications (Optimization): We will not be satisfied with paper-based solutions, but will learn how to use differentiation to find optimal solutions (maximum and minimum values), such as determining the shortest path or achieving the highest technical efficiency at the lowest possible cost.
• Introduction to Integration: We will lay the foundation for the science of integration by understanding the inverse relationship between differential and integral calculus, which will fully prepare the student for the Calculus 2 course.
Why choose this lesson?
We don't just solve equations; we aim to build an "analytical mindset." This approach simplifies complex concepts, connects them to practical realities, and equips students with smart strategies for tackling the most frequently asked exam questions in UAE university curricula, ensuring not just success, but excellence and an A grade.
Additional information for the student (more detailed):
• Prerequisites: The student should preferably have a good understanding of the basics of algebra and the ability to solve equations and inequalities.
• Required tools: A scientific calculator (preferably advanced models such as those allowed in EMAST), and a graph book to track the behavior of the curves.
• Session approach: We follow a strict and organized system of explanation based on progression from easy to difficult, while providing training examples that simulate actual final exams.

Ammar

4.88

(85)

Mathematics, statistics, and data analysis become much easier when formulas, reasoning, computation, and real-world interpretation are connected clearly.

I am a PhD-qualified engineer, university professor, researcher, and multidisciplinary tutor with more than 30 years of experience in teaching, quantitative methods, mathematical problem solving, statistical analysis, research, engineering, data analysis, and professional decision support.

This class provides a structured and personalized learning pathway for school and university students, graduate researchers, engineers, professionals, and adult learners. Depending on your goals, we can focus on one specific area or connect several areas into a coherent program.

MATHEMATICS
• Arithmetic, fractions, ratios, percentages, and mathematical foundations
• Algebraic expressions, equations, inequalities, and systems
• Functions, graphs, and transformations
• Geometry and analytic geometry
• Trigonometry
• Precalculus
• Limits and continuity
• Differential calculus and applications
• Integral calculus and applications
• Sequences and series
• Multivariable calculus
• Linear algebra, matrices, vectors, and systems
• Differential equations
• Numerical methods
• Applied and engineering mathematics

STATISTICS, PROBABILITY & ECONOMETRICS
• Descriptive statistics
• Probability rules and probabilistic reasoning
• Conditional probability, independence, Bayes’ theorem, and counting methods
• Expected value, variance, covariance, and properties of common probability distributions
• Random variables and probability distributions
• Sampling and sampling distributions
• Confidence intervals
• Hypothesis testing
• Correlation and regression
• Multiple regression
• ANOVA, ANCOVA, and MANOVA
• Nonparametric methods
• Multivariate statistical analysis
• Econometrics and quantitative methods
• Time-series analysis and forecasting
• Mediation and moderation analysis
• Statistical modelling and predictive analysis
• Econometrics
• Multiple regression
• Time series
• Forecasting
• Mediation/moderation
• Predictive analysis

DATA ANALYSIS & VISUALIZATION
• Data organization and quality assessment
• Data cleaning and preparation
• Data transformation, filtering, grouping, merging, and reshaping
• Relationships between variables and graphical/statistical diagnostics
• Missing values, duplicates, inconsistencies, and outliers
• Exploratory data analysis
• Summary tables and analytical reporting
• PivotTables and aggregation
• Data visualization and appropriate chart selection
• Trend and pattern analysis
• KPI development and performance analysis
• Dashboard concepts and decision-support reporting
• Research and survey data preparation
• Interpretation and communication of analytical findings

Depending on your needs, practical work may involve Excel, SPSS, Stata, R, SAS, Power BI, SQL, Python, or other relevant analytical tools. Software is never treated as a substitute for understanding: I explain the reasoning behind the method, the assumptions involved, the meaning of the output, and how to verify whether the conclusion is sound.

My teaching approach follows a clear progression:
understand the problem → identify the appropriate concept or method → develop the reasoning → calculate or analyze → verify the result → interpret it → communicate the conclusion

We can work with your course syllabus, textbook, representative exercises, exam topics, dataset, statistical output, research question, spreadsheet, dashboard, engineering application, or professional analytical problem.

Whether you are rebuilding mathematical foundations, preparing for an examination, studying advanced calculus, learning statistics, conducting econometric analysis, interpreting research data, or developing practical analytical skills, I will adapt the sessions to your level, objectives, and pace.

My goal is not merely to help you obtain an answer, but to help you understand the reasoning, choose appropriate methods, verify results, interpret findings correctly, and solve new problems independently.