Calculus I and II for Engineering and STEM Students

From 23 £ /h

I offer clear and structured Calculus I and Calculus II lessons for university students, particularly those studying engineering, science, and other STEM subjects.

My aim is not only to help you solve problems, but also to understand the mathematical ideas behind the methods. I explain concepts step by step and connect calculus to practical applications in physics and engineering whenever useful.

Topics can include:

• Functions, limits, and continuity
• Derivatives and differentiation techniques
• Applications of derivatives and optimization
• Integrals and integration techniques
• Applications of definite integrals
• Sequences and series
• Parametric and polar functions
• Introduction to multivariable calculus
• Partial derivatives
• Engineering applications of calculus

Lessons can be adapted to your individual goals, whether you need help understanding a difficult topic, preparing for an exam, reviewing a course, or solving practice problems.

As a mechanical engineer with university-level teaching and laboratory experience, I regularly work with mathematics in subjects such as mechanics, thermodynamics, fluid mechanics, heat transfer, and computational engineering. This allows me to explain not only how a mathematical method works, but also why it is useful.

Lessons are interactive and tailored to your current level. Students are encouraged to ask questions throughout the lesson.

Extra information

For online lessons, you will need a stable internet connection and a device suitable for video calls. A tablet or computer is recommended for working through mathematical problems together.

Location

Online from Turkey

About Me

I am a Mechanical Engineer and PhD researcher with experience in university-level teaching, laboratory sessions, and one-to-one academic support.

I enjoy helping students understand difficult engineering and mathematics topics in a clear, structured, and practical way. My teaching style focuses on understanding the logic and physical meaning behind equations rather than simply memorizing formulas.

During lessons, I adapt the explanation to the student's level and learning style. If a concept is not clear, I approach it from a different angle, use additional examples, and break complex problems into smaller steps.

I especially enjoy working with university students who want to improve their fundamentals, prepare for exams, solve engineering problems, or develop a deeper understanding of subjects such as Thermodynamics, Fluid Mechanics, Heat Transfer, Mathematics, Physics, and CFD.

My goal is to create a comfortable learning environment where students can ask questions freely and gradually become more confident in solving problems independently.

Education

PhD in Mechanical Engineering — In Progress
Yıldız Technical University, Türkiye

Research interests include thermal-fluid sciences, Computational Fluid Dynamics (CFD), heat transfer, fluid mechanics, thermodynamics, and numerical engineering methods.

M.Sc., Mechanical Engineering — Thermodynamics
Uludağ University, Türkiye

Master's thesis focused on the feasibility and numerical analysis of a ground-source and solar-assisted heat pump system for greenhouse heating.

B.Sc. in Mechanical Engineering
Uludağ University, Türkiye

Experience / Qualifications

I have experience working as a Research Assistant in Mechanical Engineering, supporting university courses, laboratory activities, and problem-solving sessions.

My teaching and academic support experience includes:

Thermodynamics

Fluid Mechanics

Heat Transfer

Engineering Mathematics

Calculus

Physics

Computational Fluid Dynamics (CFD)

ANSYS Fluent

Engineering problem solving

Numerical and analytical methods

I have worked directly with engineering students in laboratory environments, classroom activities, and individual problem-solving sessions.

My approach combines theoretical understanding with practical engineering examples. Depending on the student's goals, lessons can focus on concept learning, exam preparation, solving exercises, reviewing course material, or developing practical engineering skills.

I can also support students who are beginning CFD and want to understand the connection between fluid mechanics theory, numerical modelling, boundary conditions, meshing, solution methods, and engineering interpretation of simulation results.

Age

Teenagers (13-17 years old)

Adults (18-64 years old)

Student level

Beginner

Intermediate

Advanced

Duration

45 minutes

60 minutes

The class is taught in

English

Turkish

Skills

Calculus

Mechanical engineering

Physics

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

Mechanical Engineering Tutoring – Thermodynamics, Fluid Mechanics & Heat Transfer

19 £ /h

I offer personalized Mechanical Engineering lessons for university students who want to strengthen their understanding of core engineering subjects, prepare for exams, solve assignments, or improve their problem-solving skills.

My main teaching areas include:

Thermodynamics

Fluid Mechanics

Heat Transfer

Engineering Mathematics

Calculus

Physics

Computational Fluid Dynamics (CFD)

ANSYS Fluent fundamentals and engineering applications

My lessons focus on understanding the physical and mathematical principles behind engineering problems rather than simply memorizing formulas. I explain concepts step by step, work through practical examples, and adapt the lesson to the student's current level and objectives.

Lessons can be used for exam preparation, topic revision, homework and problem-solving practice, or structured study throughout the semester.

As a mechanical engineer with university teaching and laboratory experience, I aim to connect theoretical concepts with real engineering applications whenever possible.

Reza

4.64

(25)

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).

My extensive teaching experience covers a wide range of engineering courses, including:

- Mathematics: algebra, linear algebra, probability, calculus, differential equations, intellectual math, and advanced engineering mathematics.

- Mechanical Engineering: Statics, Dynamics, Mechanics of materials, Mechanical design, control, vibration, Fluid Mechanics, Thermodynamics, Heat transfer, Engineering drawing, Applied Mechanics, Composite Structures, Flight, Machine Elements, Manufacturing, 3D printing, and more.

- Physics: mechanics, momentum and energy, electricity, charge and current, electric and magnetic fields, waves, particle physics, nuclear decay, astrophysics, cosmology, oscillations, etc.

- CAD/CAM Software: Autocad, Solidworks.

- Mechanical Design Packages: ANSYS, APDL programming, ABAQUS, MATLAB, Symbolic MATLAB, LS-DYNA.

My research and teaching interests are diverse, including:
• Additive manufacturing
• Mechanical metamaterials
• Acoustical metamaterials
• Electromagnetic metamaterials
• Aeroacoustics
• Soft matter and soft robotics
• Fatigue and fracture mechanics
• Experimental mechanics
• Multiscale numerical modelling
• Biomaterials
• Porous materials
• Manufacturing of medical devices and implants
• Deep learning
• Image processing
• Topology optimization
• Origami and Kirigami structures
• Self-folding and self-assembly structures
• Tissue engineering
• Permeability in porous materials
• Fluid-Solid Interaction

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! :)

Raef

4.64

(25)

The math, physics, chemistry, and SVT courses of the French or Swiss program of maturity or university are done by either in-depth explanations or by a quick course and summary of essential needs according to the case of each student supported by exercises from the book or evaluations and exams from other high schools.
A special follow-up program to better prepare for the Terminales session.
So that I can give support courses for the 1st year of university in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology.
My experience is too long and for years I have learned methods for each case and for each student to fill in their gaps with the best results of Excellent, Very Good, and Good as mentioned by my students.
I can also help students to better prepare for courses and support them to better prepare for the duties of CNED in science subjects.
Guaranteed response within minutes up to 10 hours maximum.

Christopher

4.64

(25)

I specialize in online physics and maths tutoring for A-Level and GCSE level students. I aim to give fun and engaging tutorial sessions, lifting problems out of the textbook and applying them to the world around us. My tutoring is flexible and I will adapt lessons to the needs of the student.

My background is in engineering and I am currently a PhD researcher in aerospace specializing in spacecraft propulsion and plasma physics. I have also been awarded a NASA Fellowship invitation.

David

4.64

(25)

I am a Math and Physics tutor with over 10 years of experience, backed by an MIT background and training from top technical schools. My lessons are unmatched, blending charisma, passion, and innovative teaching methods to create a magical learning experience. I focus on highly personalized, one-on-one sessions, understanding each student’s unique mindset to unlock their full potential.

Teaching is my true passion! I genuinely enjoy sharing my knowledge and skills with those in need. My friendly and supportive attitude allows me to establish a connection with every student right from the first lesson. So, if you're feeling demotivated and down, don't worry! I'm here to help you find the motivation you need for both academic and personal success.

If you have any questions, please feel free to contact me anytime here. I will respond to you as soon as possible!

Mohamed

4.64

(25)

Hello !
Are you looking for support in analytical chemistry and spectroscopic techniques? I offer private lessons tailored to your level to help you better understand essential concepts, master problem-solving methods, and succeed in your exams.

The courses are based on clear explanations, effective summaries, and practical exercises. We focus on the fundamental concepts of analytical chemistry, titrations, data analysis, and the principles of the main spectroscopic techniques.

For any questions or to book a lesson, please feel free to contact me.

Enrique

4.64

(25)

Don't settle for anything less than excellence.
I am an Aerospace Engineer with a Master's degree in Quantum Physics and have completed Ph.D. work at the University of Cambridge in Computational Physics. Additionally, I have 4 years of experience developing MATLAB and possess deep programming skills in MATLAB/Simulink family, C/C++, Fortran, and Python.

With over 12 years of tutoring experience, I have successfully guided more than 50 students worldwide to achieve distinction in various fields. Consistent results are my priority, and I strive for excellence in all aspects of my teaching.

My lessons are customized to meet each student's unique needs and are designed to be engaging and insightful.

Whether you are at a school level or require advanced or professional-level instruction, I offer support in the following areas:
- Preparation for IB/IA, A-Levels, GCSE, University Entry, or equivalent.
- Experience in preparing students to access world-class schools and universities, including Cambridge University, Oxford, Ivy League and other top institutions in the UK and US.
- University levels (undergraduate and postgraduate).
- High school studies and diploma programs.
- Assistance with specific projects at a professional level, including job interview preparation.
- Extensive experience working with children.

Every lesson is meticulously planned in advance to ensure that it aligns with your goals and targets areas for improvement.
I prioritize a dynamic and interactive learning experience, with one-on-one sessions tailored to your individual requirements. Lessons will be conducted via webcam, enabling you to connect from anywhere.

I have a highly flexible schedule and can adapt to accommodate your needs.
If you have any questions about my teaching method, availability, or pricing, please don't hesitate to reach out. I am here to assist you and provide the support you need.

Amin

4.64

(25)

Struggling with math, physics, or chemistry? You're not alone — these subjects are hard, and classroom explanations are rarely enough.
I offer personalized tutoring for middle school, high school, and early university students following the French Mission curriculum, the Moroccan national curriculum, or the international baccalaureate.
Topics covered:

Mathematics: algebra, geometry, calculus, trigonometry, probability
Physics: mechanics, electricity, optics, thermodynamics
Chemistry: organic, inorganic, stoichiometry, reactions

My approach:
I don't re-explain the textbook — I identify exactly where your understanding breaks down and fix it from there. Each session is built around your specific difficulties, not a preset program.
I completed CPGE (Classes Préparatoires aux Grandes Écoles) in Mathematics and Physics before graduating as a State Engineer — I know these subjects at an advanced level and I know where students typically get lost.
Individual and small group sessions available. Online (worldwide) in French, Arabic, or English.

Baia

4.64

(25)

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.

Georgio

4.64

(25)

FRENCH longer...

Dear parents, Dear students,

I am writing to express my enthusiasm and commitment to providing private tutoring services in mathematics, physics, chemistry, and science across various levels and educational systems. With a deep passion for these subjects and a dedicated approach to education, my goal is to inspire and guide students toward a deeper understanding and appreciation of these fundamental disciplines.

My long and extensive background in private tutoring has given me a deep understanding and skill in effectively imparting knowledge to students with diverse learning abilities.

Through my tutoring efforts, I strive not only to elucidate complex concepts but also to instill problem-solving skills, critical thinking, and a curiosity-driven approach to learning. I tailor my teaching methodologies to individual learning styles, ensuring that each student achieves a thorough mastery of the subject matter and gains confidence in their academic pursuits.

Additionally, my experience extends beyond classroom teaching. I believe in creating a stimulating environment where students feel empowered to ask questions, participate in discussions, and explore the wonders of science and mathematics.

My ultimate goal as a tutor is to inspire a genuine passion for these subjects while helping students achieve their academic goals. I am committed to providing comprehensive support, personalized guidance, and a rewarding educational experience to every student I work with.

I am confident that my dedication, expertise, and ability to inspire learning will make a significant difference in my students' educational journey. I look forward to the opportunity to contribute to the academic success of those I teach.

I am excited about the prospect of working with students and making a positive impact through private tutoring.

Regards,
Georgio

FRENCH

Dear parents, Dear students,

I am writing to express my enthusiasm and commitment to providing private tutoring services in mathematics, physics, chemistry, and science, spanning various levels and educational systems. With a deep passion for these subjects and a dedicated approach to education, my goal is to inspire and guide students toward a deep understanding and appreciation of these fundamental disciplines.

My long and extensive background in private tutoring has given me a deep understanding and mastery of effectively imparting knowledge to students with diverse learning abilities.

Through my tutoring efforts, I strive not only to explain complex concepts but also to instill problem-solving skills, critical thinking, and a curiosity-based approach to learning. I customize my teaching methods to match individual learning styles, ensuring that each student fully grasps the material and gains confidence in their studies.

Furthermore, my experience extends beyond classroom teaching. I believe in creating a caring environment where students feel encouraged to ask questions, participate in discussions, and explore the wonders of science and mathematics.

My ultimate goal as a tutor is to inspire a passion for these subjects while genuinely helping students achieve their academic goals. I am committed to providing comprehensive support, personalized guidance, and a rewarding educational experience to every student I work with.

I am confident that my dedication, expertise, and ability to inspire learning will make a significant difference in my students' educational journey. I look forward to contributing to the academic success of those I teach.

I am excited to work with students and make a positive difference through private tutoring.

Regards,
Georgio

Prashil

4.64

(25)

Welcome to my Foundation Course in Science and Maths, specially designed for primary, secondary, and high school students in Amsterdam. This course aims to build a strong foundation in these critical subjects, ensuring students excel academically and develop a genuine love for learning.

My teaching approach is focused on making learning enjoyable and engaging. I incorporate interactive activities and hands-on experiments to bring Science and Maths concepts to life. By involving students in these dynamic learning experiences, I aim to transform abstract concepts into tangible understanding. Each session is thoughtfully designed to keep students interested and motivated, minimizing fatigue and maximizing retention.

I believe in simplifying complex topics, breaking them down into easy-to-understand segments. This approach helps students grasp and retain challenging concepts with ease. Techniques such as mnemonic devices, visual aids, and real-life examples are integral to my method, ensuring that formulas and concepts are not just memorized, but truly understood.

Regular assessments are conducted to track student progress and identify areas needing improvement. These tests also prepare students for their school exams, ultimately boosting their confidence. I understand the importance of keeping parents informed and involved in their child’s academic journey. That's why I provide weekly reports detailing their child’s progress, strengths, and areas for improvement. This continuous feedback loop ensures that parents are aware of their child’s development and can support their learning at home.

Encouraging words and positive feedback are integral to my teaching method. I strive to build students' self-confidence and to instill a love for learning through positive reinforcement. Setting achievable goals for each student, I celebrate their successes and motivate them to strive for excellence. This goal-setting approach not only drives academic success but also fosters a sense of accomplishment and self-worth.

As a tutor, my satisfaction comes from seeing my students excel and reach their full potential. My ultimate goal is to empower students with the knowledge and skills they need to succeed in Science and Maths. I am always available to support my students, offering additional help and resources as needed to ensure their success.

I foster an open environment where students feel comfortable asking questions, no matter how simple they may seem. This curiosity drives deeper understanding and encourages a proactive approach to learning. By incorporating games, puzzles, and interesting activities, I ensure that learning remains fun and engaging, keeping students excited about the subjects.

Join my Foundation Course in Science and Maths and watch your child develop a strong foundation, confidence, and a genuine love for these essential subjects. Let’s work together to achieve academic excellence and make learning a fun and rewarding experience. “Excel in Subjects, Soar in Confidence!”

Faten

4.64

(25)

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!

Jeremy

4.64

(25)

Greetings!

This lesson is only for already existing students that want to mix online webcam sessions with in person lessons. If you're interested in having classes with me, please have a look at my other listed classes.

Thank you for your comprehension!

Kevin

4.64

(25)

Swiss-Focused Mathematics, Physics & Chemistry Tutoring – Passerelle, BMS, Berufsmaturität, Matura, Fachmaturität, QV & Adult Education

This class is designed for students and adult learners in Switzerland who want serious, structured and exam-focused support in Mathematics, Physics and Chemistry. The main focus is preparation for Passerelle, BMS, Berufsmaturität, Matura, Fachmaturität and QV/final apprenticeship exams, as well as support for learners in adult education who are returning to study, changing career direction or preparing for a new academic path.

What makes my tutoring different is the strong connection to the Swiss education system. I completed my master’s degree at a University of Applied Sciences in Switzerland and have many years of experience teaching students in Switzerland. This means my lessons are not generic international tutoring. They are built around Swiss school expectations, Swiss exam styles, Swiss curricula and the specific challenges faced by learners in Switzerland.

➜ Special focus on Passerelle preparation
The Passerelle is one of the most demanding Swiss pathways because it requires strong discipline, independent thinking and solid exam technique. I help students prepare systematically in Mathematics, Physics and Chemistry by working through the required theory, typical task types, old exams and exam-style practice.

➜ BMS and Berufsmaturität support
For BMS and Berufsmaturität students, I provide structured help in Mathematics, Physics and Chemistry, depending on the programme and exam requirements. We focus on building strong foundations, closing gaps and applying methods correctly in exam situations.

➜ Matura and Fachmaturität preparation
I support students preparing for Matura and Fachmaturität exams with clear explanations, relevant exercises and a structured learning plan. The lessons help students understand difficult topics, organize their knowledge and gain confidence before important assessments.

➜ QV / final apprenticeship exam preparation
Many vocational students need Mathematics, Physics or Chemistry for their QV/final apprenticeship exams, especially in technical, scientific, laboratory, healthcare or engineering-related fields. I help students connect theory with practical calculations and exam-style tasks.

➜ Adult education and returning learners
I also work with adult learners who are returning to education after a break, preparing for Passerelle, Berufsmaturität, Fachmaturität, QV or further studies. Adult learners often need a clear, respectful and efficient teaching style. I explain from the foundation upward, without judgment, and help rebuild confidence step by step.

➜ Mathematics, Physics and Chemistry taught with equal seriousness
The focus is not only Mathematics. Physics and Chemistry are also important, especially for Passerelle, Matura, Fachmaturität, technical BMS directions, QV exams and later studies. I explain formulas, concepts and calculations clearly so students understand the logic behind the subject.

➜ Old exams and Swiss-style practice
Where suitable, I use old exams, typical Swiss exam questions and realistic practice material. Students learn how questions are asked, how to recognize the correct method, how to structure their solutions and how to avoid common mistakes.

➜ Clear step-by-step method
Every task is approached with a simple structure: What is given? What is required? Which formula, law or method is suitable? Why does it apply? Then we solve the task step by step with all formulas, calculations and explanations.

➜ Why choose a Swiss-focused tutor?
Many tutors may know Mathematics, Physics or Chemistry, but Swiss exams often have their own wording, structure and expectations. Because I studied in Switzerland and have taught Swiss students for years, I can prepare learners in a much more targeted and relevant way.

➜ For serious students who want real progress
This class is ideal for students and adult learners who want to pass an important exam, improve their grades, close knowledge gaps, prepare for further studies or gain more confidence in Mathematics, Physics and Chemistry.

➜ Success-oriented preparation
My goal is to help students build real understanding, not just short-term memorization. With clear explanations, structured practice, old exam material and consistent preparation, students can develop the confidence and exam technique needed to perform at their best.

Gianrocco

4.64

(25)

Feel free to send me over your questions / material before the class, so we can have a more efficient use of our time.
you can find my LinkedIn here
https://www.linkedin.com/in/gianroccolazzari/
glad to adjust the topics according to your level

I also speak ES/PT

Asad

4.64

(25)

I’m a master’s student in chemical nano-engineering with a bachelor's degree in chemistry and experience as a chemistry lecturer and in an industrial quality control lab. I explain things in simple steps, so you understand instead of memorizing.

Each lesson uses worked examples and practice problems at your pace. Send me your topic or syllabus before the first lesson, and I’ll plan around it.