Differential Equations Comprehensive mathematics course for engineering

From 21 £ /h

Learn first-order and second-order differential equations, Laplace transforms, and engineering applications with practical examples. Differential Equations Comprehensive mathematics course for engineering students covering Calculus, Linear Algebra, Differential Equations, Numerical Methods, and Vector Calculus.

Extra information

Learn first-order and second-order differential equations, Laplace transforms, and engineering applications with practical examples.

Location

Online from Portugal

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

90 minutes

120 minutes

The class is taught in

English

Skills

Engineering

Calculus

Vector calculus

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

High School and university Mathematics: Algebra, Geometry & Calculus

22 £ /h

Master High School and university Mathematics: Algebra, Geometry & Calculus mathematics with clear, step-by-step explanations and practical problem-solving techniques.

This course is designed for high school students who want to improve their understanding of mathematics, prepare for exams, or build a strong foundation for college.

Topics include:
• Algebra
• Geometry
• Trigonometry
• Functions
• Pre-Calculus
• Calculus
• Exam Preparation
• Homework Help
• Problem Solving

Each lesson is personalized to your learning pace. You'll gain confidence, improve your grades, and develop strong analytical thinking skills through guided examples and practice problems.

Whether you're struggling with math or aiming for top scores, this class will help you achieve your goals.

Jeremy

4.8

(20)

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 6 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!

Anh

4.8

(20)

If you're facing resit exams in engineering and want to make sure you succeed, I’m here to support you. These tailored tutoring sessions are designed specifically to help you overcome challenges, address any gaps in understanding, and reinforce the core principles of your engineering subjects. Together, we’ll revisit key concepts and solidify your foundation so you feel confident tackling future challenges.

Whether you're studying:
• Aerospace Engineering
• Aeronautical Engineering
• Mechanical Engineering
• Electrical Engineering
• other types of Engineering

You’ll build the knowledge and confidence needed to excel in your resit exams and beyond.

Contact me now for availability, and let's schedule your first session soon. I look forward to working with you!
__________________________________________________________________________________

I'm actively supporting students from top universities worldwide, including:

UK:
• Imperial College London (+ Business School) (ICL)
• University College London (UCL)
• King’s College London (KCL)

The Netherlands:
• Delft University of Technology (TUDelft)
• University of Amsterdam (UvA)
• University of Groningen (RUG)

Switzerland:
• ETH Zurich - Swiss Federal Institute of Technology

Australia:
• Queensland University of Technology (QUT)
• University of Queensland (UQ)
• Griffith University
__________________________________________________________________________________

My name is Anh, and I was born and raised in the U.K. With over 10 years of international experience tutoring Maths, Sciences, and Engineering from Middle School to University Level, I’ve supported over 80 students worldwide in unlocking their full potential.

I have a fun, ambitious, and outgoing personality, and I’m passionate about music, cooking, and trying new things. In my tutoring and mentoring, I am patient, adaptable, and committed to meeting the unique needs of each student.

I work as an Engineering Specialist/Consultant, holding:
• Master’s degree in Aeronautical Engineering from Imperial College London,
• AAA* A-Level in Further Maths and Physics,

Having been mentored and tutored myself, I understand the challenges students face. 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!

Samaa

4.8

(20)

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

4.8

(20)

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).

Mohamed

4.8

(20)

Do you feel that your child is working hard in mathematics, but their results are not improving?

He understands the lesson, but doesn't know how to start an exercise?
He knows the formulas, but doesn't know when or how to use them?
Does he lack a solid foundation, accumulate difficulties from one chapter to the next, or lose confidence as soon as an exercise becomes more complex?
Does he have difficulty organizing his work, reasoning, or writing his solutions correctly?
Or perhaps he is preparing for an exam, the Brevet or the Baccalaureate, and doesn't know how to prepare effectively?

It is precisely in these difficulties that I can support him.

I am a mathematics teacher with 13 years of teaching experience, holding a Master's degree in mathematics and trained at ENSET Mohammedia. I tutor middle and high school students, particularly in the Moroccan and French curricula.

🎯 My goal: to understand the difficulty before trying to fix it

Not every student has the same problem.

Some have gaps in their basic knowledge.
Others understand the lesson but lack a method.
Some people know how to solve classic exercises but get stuck as soon as the problem statement changes.
Others primarily need to regain confidence and learn to work in a more organized way.

That's why I'm not simply suggesting we redo the course.

During the initial sessions, I identify the student's difficulties and the concepts that need reinforcement. We then create a learning plan tailored to their level, pace, and objective.

📚 How does my support work?

Depending on the student's needs, we can work on:

• understanding the course material and difficult concepts;
• the upgrading and the accumulated gaps;
• the method for solving the exercises;
• mathematical reasoning;
• drafting and presenting solutions;
• progressive exercises adapted to the student's level;
• homework and tests;
• preparation for the Brevet and the Baccalaureate;
• exam preparation;
• Work organization and priority management.

I adapt to the student's pace: the goal is not simply to give them the answer, but to allow them to understand, reason and gradually become autonomous.

💻 Truly interactive online courses

The classes are conducted remotely using Google Meet and an interactive whiteboard.

The student can follow the explanations, participate directly, solve the exercises with me and receive materials or screenshots of the work done during the session.

I favour a clear, progressive and interactive teaching method, with plenty of practice.

🏆 A concrete experience of academic support

During my years of teaching, I have worked with students of very different profiles and levels.

For my final year students who were tutored in mathematics, I achieved a 100% success rate in the Baccalaureate, with 75% obtaining a distinction of "Bien" or "Très Bien".

My goal, however, is not solely to obtain a better grade in the short term: I am primarily seeking to gradually eliminate the obstacles that prevent the student from progressing.

👨‍🎓 For which students?

• Middle school: 5th, 4th, 3rd grade
• High school: 10th, 11th, 12th grade
• Moroccan and French programs
• Mathematics specialization at the French high school
• Refresher course
• Regular support
• Preparation for tests and exams
• Preparation for the Brevet and Baccalaureate exams

The courses are designed for both students who are experiencing difficulties and those who wish to consolidate their level and aim for better results.

📩 You don't know exactly why your child is struggling with math?

You can describe his level, his current difficulties and his goal in your message.

I can tell you which points we should work on as a priority and suggest a suitable support method.

My goal is simple: to transform difficulties into skills and help the student gradually regain confidence in their mathematical abilities.

Medo

4.8

(20)

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

4.8

(20)

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.

علاء

4.8

(20)

Principles of using visualization methods for geometric shapes, front, top, back, and side facades, with an explanation of drawing methods on paper, along with the use of appropriate tools for engineering drawing, for students of mechanical, architectural, and industrial engineering and all engineering disciplines that study the subject of engineering design and its principles. Designs for products of mechanical elements and components can be made to be ready for drawing through programs such as AutoCAD and then 3D printing to visualize the product and then manufacturing and production. The courses also contribute to understanding shapes and ways to deal with them with the required sizes and engineering details and the types of paper suitable for engineering drawing.

Nicolas

4.8

(20)

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

4.8

(20)

This preparation session is dedicated to students aiming for preparatory classes for scientific Grandes Ecoles (CPGE), with a particular focus on the subjects of Physics and Engineering Sciences. The goal is to strengthen the foundations and deepen the knowledge to succeed.

1. Mechanics:
Kinematics: Study of rectilinear and circular movements, position vectors, speed and acceleration.
Dynamics: Newton's laws, work and energy, kinetic energy theorem.

2. Electromagnetism / Electrokinetics:
Electrostatics: Electric charges and fields, electric potential, capacitance.
Magnetostatics: Magnetic fields, Lorentz forces, electromagnetic induction.
Alternating Currents: RLC circuits, resonance, impedance.

3. Thermodynamics:
Principles of thermodynamics: Internal energy, heat, work, first and second principles.
Ideal and real gases: Equations of state, thermodynamic transformations.

4. Industrial sciences:
Automatic Linear, Kinematic, Static.

For more information and to register for the preparation session, please contact me.

Good preparation and success in your studies!

.

Reza

4.8

(20)

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! :)

Intasar

4.8

(20)

I have graduated with a degree in chemical engineering from the University of Edinburgh, UK. I am also an Erasmus Mundus scholar with a master's in Analytical Chemistry from Uppsala University. Currently, I am pursuing a PhD in physical chemistry.

I have been tutoring since 2012 to fund my education expenses. I formally began tutoring in 2014 as part of my vocational training as a teacher in Ghana, funded by the University of Edinburgh. The formal training has taught me a lot about curriculum development, time management, and fusing my teaching methodology to my students’ needs. I have been tutoring in Physics, Chemistry, and Math, in person and online; the hybrid model has allowed me to reach out and teach students in 8 different countries. I have successful students from these past nine years who have not only commended my work ethic but can also stand testament to my enthusiasm.

My excellent academic career has nurtured in me a natural talent for teaching. My experiences have taught me how to tackle one problem at a time, and I believe that using this approach—paired with my unconventional examples that force students to think outside the box—I can truly provide an excellent understanding and explanation. My teaching methodology is based on two main things: skill development and adaptation. Initially, I create a skeleton of the most suitable methodology tailored to the preferred curriculum, after which, I adapt that lecture to the specific needs of the student based on their knowledge and grasp of the concepts. Second, I like to develop analytical and scientific ability along with knowledge in my students, and for that, I use a combination of resources in the form of worksheets, class tasks, and past papers. Last, I believe in the strong ethic of providing feedback to the parents, so that they are aware of their child’s progress.

Frequently Asked Questions:
Which subject(s) do you teach?
I teach math, mechanics, statistics, chemistry and physics. I also teach biology up to GCSE level.

When are you available? My timetable is quite flexible. I am happy to work weekdays, week evening and weekends.

Which ages and levels do you teach? The majority of my students are between the ages of 10-18, but I also teach college Students. I am also helping foundation and first year university students.

Which qualifications do you prepare your students for? GCSE, IGCSE, A/S-level, A-level, IB, School entrance exams and SATs

Describe your arrangements for online tutoring? I use Zoom online sessions since it has many tools and features specially designed for interactive and visual learning. I am fully equipped with modern gadgets for e-learning. I use Google drive and docs to share files.

Thelma

4.8

(20)

Struggling with Maths? Let's work towards better grades together!
Hi, I'm Thelma, and I offer supportive online mathematics lessons for students studying GCSE, IGCSE, AS and A-Level Pure Mathematics.
Whether you're struggling with the basics, finding algebra confusing or preparing for an important examination, my lessons are designed around your learning needs and goals.

•We will focus on;

📘 GCSE & IGCSE Mathematics
Topics include:
• Number, fractions, percentages and ratios
• Algebra, equations and inequalities
• Geometry and mensuration
• Graphs and functions
• Trigonometry
• Statistics and probability

📗 AS & A-Level Pure Mathematics
Topics include:
• Algebra, simultaneous equations and polynomials
• Sequences and series, including arithmetic and geometric progressions
• Coordinate geometry
• Trigonometry and trigonometric identities
• Differentiation and integration
• Functions and other relevant syllabus topics

🎯 Exam Preparation
We will practise exam-style questions, review challenging topics, identify areas for improvement and work through solutions step by step. Where appropriate, we will use past papers from your examination board, including Pearson Edexcel and AQA.

💻 What to expect in my lessons
• Clear, step-by-step explanations
• Interactive online teaching and worked examples
• Practice questions suited to your level
• Lessons tailored to your goals
• Support with revision and homework questions

Whether you need help understanding a topic or want structured exam preparation, we can focus on the areas where you need the most support.
Ready to improve your understanding of Maths? Book a lesson, tell me your exam board and the topics you find difficult, and let's get started!

Saleha

4.8

(20)

I am a Mathematics tutor with 6 years of teaching experience. I teach all levels from school to college including Matric, FSc, O-Level, A-Level, GCSE, IGCSE, Algebra, Geometry, Trigonometry and Calculus.

My teaching is concept-based and easy to understand. I explain the logic behind every problem so you can solve questions yourself. I make difficult topics simple with step by step explanation and examples.

My classes are friendly, interactive and focused on your needs. Whether you want to pass exams, improve grades or prepare for tests, I will make a personalized plan for you. You will learn quick solving tricks, avoid common mistakes and build confidence in Math. Let's make Math your favorite subject.

Alonso

4.8

(20)

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