facebook
favorite button
member since icon
Since June 2026
Instructor since June 2026
Engineering, Physics and Mathematics Tutoring by Oxford PhD Researcher
course price icon
From 104 C$ /h
arrow icon
I am a PhD researcher at the University of Oxford, with an MRes from the University of Cambridge and research experience with Rolls-Royce.

I enjoy helping students build confidence in engineering, physics, and mathematics through clear explanations and a supportive, personalised approach. Whether you are preparing for exams, working through challenging coursework, or simply looking to strengthen your understanding, lessons are tailored to your goals and learning style.

My aim is not only to help you achieve better results, but also to develop the problem-solving skills and intuition that make technical subjects more enjoyable and rewarding.
Extra information
Please send any relevant material before the lesson, such as coursework, past papers, exercises, or topics you would like to cover, so we can make the most of our time together.
Location
location type icon
Online from Italy
About Me
Hello, I'm Lucas.

I am currently completing a PhD in Engineering at the University of Oxford, after previously studying at the University of Cambridge. Alongside my research, I have spent several years helping students with mathematics, physics, and engineering.

I enjoy teaching because I know how challenging technical subjects can sometimes feel. My goal is to make complex concepts easier to understand, build confidence, and help students develop a solid way of thinking about problems rather than relying on memorisation.

Whether you are preparing for exams, working through coursework, applying to university, or simply looking to improve in a subject, I tailor each lesson to your needs and pace. I aim to create a relaxed and supportive environment where questions are always encouraged.

Alongside tutoring, I work on advanced engineering research in collaboration with Rolls-Royce. This allows me to bring practical, real-world examples into lessons and connect theory with engineering applications.
Education
• PhD in Aerothermal Engineering, University of Oxford
• MRes in Future Propulsion and Power, University of Cambridge
• MEng in Mechanical Engineering, University of Cagliari (110/110 cum laude)
• BEng in Mechanical Engineering, University of Cagliari (110/110)
Experience / Qualifications
• Research experience with Rolls-Royce
• Several years of tutoring and mentoring experience
• Graduate teaching experience in mathematics, physics, and engineering
• Published engineering researcher
• Professional Engineer qualification (Italy)
• Fluent in English, Italian, and Spanish
Age
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
The class is taught in
English
Italian
Spanish
Availability of a typical week
(GMT -04:00)
New York
at teacher icon
Online via webcam
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
Similar classes
arrow icon previousarrow icon next
verified badge
I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.
verified badge
The courses of Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology of the French or European French or English programs (Secondary or university levels) are given by explanations either in depth or by a rapid course and summary of essential need according to the case of each student supported by exercises from the book or by evaluations and exams from other high schools.
My experience is too long and for years, I have learned methods for each case and for each student to fill 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.
verified badge
I am a master student in quantitative economics and all of my courses are given in English. My goal is to help the student in solving the exercises and to understand the theory but above all to give an effective working method to make him independent in the pursuit of his studies.
verified badge
I'm a Natural Sciences student at the University of Birmingham looking to tutor science or maths online over the summer. I can tutor any level from KS1 - GCSE for physics, and KS1 - A Level for chemistry, biology, and maths. I aim to give confidence and enjoyment in the subject, working with my student's own interests as well as following a syllabus. I am flexible to work with what you want to achieve.

I have two years tutoring experience, especially with home-educated children, and can provide references if needed. I am DBS checked with GirlGuiding UK.
verified badge
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!
verified badge
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.
verified badge
I am an experienced teacher, particularly in academic support and homework monitoring, whether online or in person.
I provide private lessons for primary school four sessions per week (Math, Reading and comprehension, French, Written expression).
I am experienced in teaching the Arabic language to non-Arabic speakers using booklets known as the volume of Medina series...
verified badge
Welcome to my profile.
I am an experienced mathematics and science teacher with over seven years of experience helping students strengthen their understanding, improve their results and become more confident, independent learners.
My lessons are designed for students and families who value high-quality, well-prepared and personalised teaching. Rather than offering a one-size-fits-all course, I adapt each lesson to the student’s level, objectives, school programme and learning style.
I teach students who need to rebuild essential foundations as well as those working on advanced topics, examinations or demanding international programmes such as the European Baccalaureate and International Baccalaureate, as well as, the various Belgian programs.

◆ MY TEACHING APPROACH ◆

• • Initial assessment • •
We begin by identifying the student’s current level, strengths, difficulties and academic objectives.

• • Personalised lesson planning • •
Each student receives a structured learning approach based on their specific needs, curriculum and pace of progress.

• • Clear and accessible explanations • •
Complex concepts are broken down into logical, manageable steps, with visual representations and carefully selected examples.

• • Active problem-solving • •
Students are encouraged to think, explain their reasoning and develop reliable methods for approaching unfamiliar questions.

• • Targeted practice • •
Exercises are selected to address specific weaknesses, consolidate knowledge and prepare effectively for tests and examinations.

• • Regular review and feedback • •
Previously studied material is revisited when necessary, and clear feedback is provided to help the student understand what has improved and what still requires attention.

◆ WHAT YOU CAN EXPECT ◆

Professionalism and reliability are central to my work:
• • Lessons prepared in advance and tailored to the student
• • Punctual and well-structured sessions
• • Patient, respectful and focused teaching
• • Clear explanations without unnecessary complication
• • Constructive and timely feedback
• • Adaptation based on the student’s progress
• • A serious learning environment that remains supportive and encouraging

My objective is not simply to help students complete exercises. I aim to help them understand the underlying concepts, develop stronger reasoning skills and gain the confidence required to work more independently.

Mathematics and science can appear difficult when important foundations are missing or when explanations are poorly adapted to the learner. With the right structure, guidance and practice, these subjects become far more logical, accessible and rewarding.
verified badge
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!”
verified badge
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! :)
verified badge
Mathematics is the best way to enhance your intellect, create bridges between abstract and reality and find the hidden beauty of life.

Good day, my name is Mike. I'm studying at Shanghai University and I've had the privilege of helping over many peers and other students for 3 years. As an experienced teacher, most of my friends and peers believe that I have been doing quite well.

This course is mainly focused on GCSE tutoring, yet math problems from other legal sources may also be accepted.

By the way, the language for classes is English.

Before you go any further, let me introduce myself.
I come from Shanghai, China. I got 138(A+) out of 150 in English GaoKao.
I have no problem in English communication at all and ranked top 0.1% in the English contest for senior high school students in Shanghai.
Besides, I self-taught myself plane geometry(PG) for just 50 days from scratch and surprisingly aced the entire PG part in the preliminary contest of the CMO.

My methodology is as follows:
1. I can show the definitions/examples of a certain type of problems to you.
2. I offer you some similar problems for training and revision in class, then I analyze them.
3. I don't give homework every time, yet I might offer you some interesting problems to solve or valuable facts to know, as your interest and ability in self-directed inquiry is quite important, whose importance grows as you go on with your academic journey.
4. If you wish to bring your own problems and ask about them first, that's okay.
N.B. Please double-check which examination institution you have chosen and inform me(e.g. AQA, Edexcel and so on).

My approach combines teaching and mentoring, taking a holistic approach to ensure improvements in all aspects of a student's development. I am patient and adaptable to the needs of each student.
I adapt my teaching style to fit each student’s unique needs, helping them build the confidence and resilience necessary to succeed both inside and outside the classroom.

Through my own experiences of overcoming obstacles and achieving success, I’m passionate about helping others do the same.

Let’s work together to ensure you reach your full potential, both academically and personally! So be free to book my classes and look forward to carving a niche for yourself in your life journey!
verified badge
I specialize in Math, English, and ESL. My lessons are personalized to each student’s level, learning style, and interests, creating a fun and supportive environment where students can learn with confidence.

In Math, students will build strong skills in problem-solving, critical thinking, algebra, geometry, computation, and mathematical reasoning. In English and ESL for kids to adults, students will improve their speaking, pronunciation, reading, vocabulary, grammar, listening, and comprehension skills through engaging conversations and practical activities.

Whether students need help with schoolwork, want to improve their English communication, or need to strengthen their academic foundations, I adjust every lesson to their individual needs. My goal is to make learning simple, engaging, and enjoyable while helping students become more confident and independent learners.
verified badge
This class covers Calculus, Linear Algebra, Probability & Statistics, and Discrete Mathematics, built around your specific course material or exam board rather than a generic syllabus. Each session works through core concepts with clear step-by-step explanations, worked examples, and practice problems, moving from the underlying logic of a topic to applying it confidently in exercises and exams. The focus is on understanding why a method works, not just memorizing steps, so concepts stick and transfer to new problems. Sessions can be structured around exam prep, homework support, or strengthening the foundation ahead of a difficult semester — whichever fits your goals best.
verified badge
This class is designed for students who want to improve their understanding of Mathematics. Topics include Algebra, Geometry, Trigonometry, Functions, and Problem Solving techniques.

Lessons are explained in a simple and practical way, making difficult concepts easier to understand. Students will receive step-by-step guidance, practice questions, and support to strengthen their mathematical skills and prepare for exams.
verified badge
I help students build strong mathematical foundations, improve their confidence, and achieve better academic results through clear, engaging and personalised lessons.
My lessons are suitable for students who want to strengthen their understanding of Mathematics, catch up on difficult topics, or move to a higher level. I use practical examples, step-by-step explanations, guided practice and challenging questions to make Mathematics easier to understand.
Lessons can cover topics such as number and place value, fractions, decimals, percentages, algebra, geometry, measurement, problem-solving and other areas of the school curriculum. I can also support students following Cambridge and UK-style curricula.
Every lesson is adapted to the student's ability and learning needs. My goal is not just to help students get answers, but to help them understand WHY the answer is correct and become independent, confident mathematical thinkers.
message icon
Contact Lucas
repeat students icon
1st lesson is backed
by our
Good-fit Instructor Guarantee
Similar classes
arrow icon previousarrow icon next
verified badge
I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.
verified badge
The courses of Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology of the French or European French or English programs (Secondary or university levels) are given by explanations either in depth or by a rapid course and summary of essential need according to the case of each student supported by exercises from the book or by evaluations and exams from other high schools.
My experience is too long and for years, I have learned methods for each case and for each student to fill 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.
verified badge
I am a master student in quantitative economics and all of my courses are given in English. My goal is to help the student in solving the exercises and to understand the theory but above all to give an effective working method to make him independent in the pursuit of his studies.
verified badge
I'm a Natural Sciences student at the University of Birmingham looking to tutor science or maths online over the summer. I can tutor any level from KS1 - GCSE for physics, and KS1 - A Level for chemistry, biology, and maths. I aim to give confidence and enjoyment in the subject, working with my student's own interests as well as following a syllabus. I am flexible to work with what you want to achieve.

I have two years tutoring experience, especially with home-educated children, and can provide references if needed. I am DBS checked with GirlGuiding UK.
verified badge
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!
verified badge
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.
verified badge
I am an experienced teacher, particularly in academic support and homework monitoring, whether online or in person.
I provide private lessons for primary school four sessions per week (Math, Reading and comprehension, French, Written expression).
I am experienced in teaching the Arabic language to non-Arabic speakers using booklets known as the volume of Medina series...
verified badge
Welcome to my profile.
I am an experienced mathematics and science teacher with over seven years of experience helping students strengthen their understanding, improve their results and become more confident, independent learners.
My lessons are designed for students and families who value high-quality, well-prepared and personalised teaching. Rather than offering a one-size-fits-all course, I adapt each lesson to the student’s level, objectives, school programme and learning style.
I teach students who need to rebuild essential foundations as well as those working on advanced topics, examinations or demanding international programmes such as the European Baccalaureate and International Baccalaureate, as well as, the various Belgian programs.

◆ MY TEACHING APPROACH ◆

• • Initial assessment • •
We begin by identifying the student’s current level, strengths, difficulties and academic objectives.

• • Personalised lesson planning • •
Each student receives a structured learning approach based on their specific needs, curriculum and pace of progress.

• • Clear and accessible explanations • •
Complex concepts are broken down into logical, manageable steps, with visual representations and carefully selected examples.

• • Active problem-solving • •
Students are encouraged to think, explain their reasoning and develop reliable methods for approaching unfamiliar questions.

• • Targeted practice • •
Exercises are selected to address specific weaknesses, consolidate knowledge and prepare effectively for tests and examinations.

• • Regular review and feedback • •
Previously studied material is revisited when necessary, and clear feedback is provided to help the student understand what has improved and what still requires attention.

◆ WHAT YOU CAN EXPECT ◆

Professionalism and reliability are central to my work:
• • Lessons prepared in advance and tailored to the student
• • Punctual and well-structured sessions
• • Patient, respectful and focused teaching
• • Clear explanations without unnecessary complication
• • Constructive and timely feedback
• • Adaptation based on the student’s progress
• • A serious learning environment that remains supportive and encouraging

My objective is not simply to help students complete exercises. I aim to help them understand the underlying concepts, develop stronger reasoning skills and gain the confidence required to work more independently.

Mathematics and science can appear difficult when important foundations are missing or when explanations are poorly adapted to the learner. With the right structure, guidance and practice, these subjects become far more logical, accessible and rewarding.
verified badge
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!”
verified badge
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! :)
verified badge
Mathematics is the best way to enhance your intellect, create bridges between abstract and reality and find the hidden beauty of life.

Good day, my name is Mike. I'm studying at Shanghai University and I've had the privilege of helping over many peers and other students for 3 years. As an experienced teacher, most of my friends and peers believe that I have been doing quite well.

This course is mainly focused on GCSE tutoring, yet math problems from other legal sources may also be accepted.

By the way, the language for classes is English.

Before you go any further, let me introduce myself.
I come from Shanghai, China. I got 138(A+) out of 150 in English GaoKao.
I have no problem in English communication at all and ranked top 0.1% in the English contest for senior high school students in Shanghai.
Besides, I self-taught myself plane geometry(PG) for just 50 days from scratch and surprisingly aced the entire PG part in the preliminary contest of the CMO.

My methodology is as follows:
1. I can show the definitions/examples of a certain type of problems to you.
2. I offer you some similar problems for training and revision in class, then I analyze them.
3. I don't give homework every time, yet I might offer you some interesting problems to solve or valuable facts to know, as your interest and ability in self-directed inquiry is quite important, whose importance grows as you go on with your academic journey.
4. If you wish to bring your own problems and ask about them first, that's okay.
N.B. Please double-check which examination institution you have chosen and inform me(e.g. AQA, Edexcel and so on).

My approach combines teaching and mentoring, taking a holistic approach to ensure improvements in all aspects of a student's development. I am patient and adaptable to the needs of each student.
I adapt my teaching style to fit each student’s unique needs, helping them build the confidence and resilience necessary to succeed both inside and outside the classroom.

Through my own experiences of overcoming obstacles and achieving success, I’m passionate about helping others do the same.

Let’s work together to ensure you reach your full potential, both academically and personally! So be free to book my classes and look forward to carving a niche for yourself in your life journey!
verified badge
I specialize in Math, English, and ESL. My lessons are personalized to each student’s level, learning style, and interests, creating a fun and supportive environment where students can learn with confidence.

In Math, students will build strong skills in problem-solving, critical thinking, algebra, geometry, computation, and mathematical reasoning. In English and ESL for kids to adults, students will improve their speaking, pronunciation, reading, vocabulary, grammar, listening, and comprehension skills through engaging conversations and practical activities.

Whether students need help with schoolwork, want to improve their English communication, or need to strengthen their academic foundations, I adjust every lesson to their individual needs. My goal is to make learning simple, engaging, and enjoyable while helping students become more confident and independent learners.
verified badge
This class covers Calculus, Linear Algebra, Probability & Statistics, and Discrete Mathematics, built around your specific course material or exam board rather than a generic syllabus. Each session works through core concepts with clear step-by-step explanations, worked examples, and practice problems, moving from the underlying logic of a topic to applying it confidently in exercises and exams. The focus is on understanding why a method works, not just memorizing steps, so concepts stick and transfer to new problems. Sessions can be structured around exam prep, homework support, or strengthening the foundation ahead of a difficult semester — whichever fits your goals best.
verified badge
This class is designed for students who want to improve their understanding of Mathematics. Topics include Algebra, Geometry, Trigonometry, Functions, and Problem Solving techniques.

Lessons are explained in a simple and practical way, making difficult concepts easier to understand. Students will receive step-by-step guidance, practice questions, and support to strengthen their mathematical skills and prepare for exams.
verified badge
I help students build strong mathematical foundations, improve their confidence, and achieve better academic results through clear, engaging and personalised lessons.
My lessons are suitable for students who want to strengthen their understanding of Mathematics, catch up on difficult topics, or move to a higher level. I use practical examples, step-by-step explanations, guided practice and challenging questions to make Mathematics easier to understand.
Lessons can cover topics such as number and place value, fractions, decimals, percentages, algebra, geometry, measurement, problem-solving and other areas of the school curriculum. I can also support students following Cambridge and UK-style curricula.
Every lesson is adapted to the student's ability and learning needs. My goal is not just to help students get answers, but to help them understand WHY the answer is correct and become independent, confident mathematical thinkers.
Good-fit Instructor Guarantee
favorite button
message icon
Contact Lucas