Differential Equations Comprehensive mathematics course for engineering

From 24 € /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

25 € /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.

Matías

4.88

(85)

Do you want to master the most used design software and bring your ideas to life in 3D? Do not search anymore ! I offer specialized courses to guide you through the exciting worlds of CATIA V5/V6, Inventor, Fusion 360, FreeCAD and 3D printing.

CATIA V5/V6: Discover the design software preferred by engineers for creating complex models and precise assemblies.

Inventor: Dive into the world of mechanical design and learn how to develop innovative products with this powerful software.

Fusion 360: Create organic models, run simulations, and hone your design and engineering skills.

FreeCAD: Explore the basics of parametric design and create 3D models ready for manufacturing.

️ 3D printing: Bring your designs to life! Learn how to use 3D printers, from modeling to concrete production.

Whether you're a beginner or looking to improve your skills, my classes are suitable for all levels. With interactive lessons, hands-on projects, and expert guidance, you'll progress quickly and with confidence.

Don't wait to explore the endless potential of 3D design and 3D printing. Join me on this exciting adventure and start creating your own 3D masterpieces today!

Don't miss this opportunity to develop in-demand skills in 3D design and printing. Join me for enriching and practical lessons you won't forget!

See you soon for our first class together!

Samaa

4.88

(85)

With over 4 years of experience I teach math curriculums (GCSE, IGCSE, IB CNISE, SAT) to students from earlier stages, elementary to high school. I focus on all mathematical concepts, develop classroom materials, organize activities, assign homework, grade tests, and prepare students for exams. I prepare mathematics curriculum for my students, like college entrance exams.

I demonstrate excellent mathematics skills and analytical thinking alongside solid instruction. I instruct my students throughout the year and create lesson plans, assign homework, and manage online classrooms. I keep in touch with parents to be aware of the progress.
I hold a Master's degree in Engineering with teacher education courses and I've achieved the highest grades in my math courses throughout the years with straight A Grades.

My Responsibilities towards my students
-Create a great environment that is conducive to learning.
-Care for and effectively assist students with special concerns.
-Analyze data to determine student progress and achievement.
-Work with individual and small groups of students to support mathematics instruction.
-Encourage students who need extra help
-Plan and carry out instructions, activities and prepare learning materials.
-Maintain appropriate records and follow required procedures and practices.
-Work with students to develop and monitor academic goals for both short-term and long-term success.

My qualifications
-Master Degree in Engineering
-An experienced teacher for over 4 years
-Experience with calculus, geometry, statistics, and trigonometry.
-Dedication to instruction of critical thinking and problem-solving with confidence in a collaborative environment.
- Leadership skills and a positive attitude when assisting with decision making.
-Demonstrated professionalism and dedication to continuous improvement.
-Time management skills.

Bibek

4.88

(85)

Hi! Welcome! I am a Ph.D. researcher in Physics at the University of Cologne, Germany. Recently, I graduated from the University of Groningen in the Netherlands with a Master's degree in Nanoscience (w/ cum Laude). I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concepts and excel in your studies. I have teaching experience of 5+ years in Physics and Mathematics to both high school and university-level students.

This class aims to provide an overview of calculus and linear algebra and focuses on the fundamental mathematical tools and concepts, such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to optimization, linear differential equations, and matrix algebra.

Outline of the course:
1. Calculus:
1.1 Limits of functions
1.2 Continuity, types of discontinuities, intermediate value theorem
1.3 Differentiation (or derivative), slope, secant, tangent
1.4 Rules and theorems for differentiation, power rule, product rule, chain rule
1.5 Derivatives of exp, log, and trigonometric functions
1.6 Implicit differentiation and derivative of inverse functions
1.7 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function
1.8 First and second derivative tests, inflection points
1.9 Anti-derivative, indefinite integral, integration by substitution, integration by parts
1.10 Definite integral and its application (area between curves, application in physics)\
1.11 Optimization and linear differential equations

2. Linear Algebra:
2.1 Vectors and scalars in Euclidean space, vector arithmetic, scalar product, cross product
2.2 Equations for lines and planes, vector spaces, linear independence, span, basis, dimension
2.3 Linear transformations, coordinates, and representation of linear transformations by matrices
2.4 Matrix operations: matrix multiplication, transpose, determinant, inverse, and Hermitian conjugate
2.5 Systems of linear equations, Gaussian elimination
2.6 Eigenvalues and eigenvectors
2.7 Range, kernel, and rank-nullity theorem

and many more...

*Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).

Pia

4.88

(85)

You are a university student and have trouble with your math courses? Don't fret, I'm here to help! It doesn't matter whether you are a math student or from a different major, whether you are from an applied background or struggle with pure maths - the lessons will only cover what you need. Mathematics has a lot to do with practice and getting familiar with the way of thinking logically. With my help and guidance, I am sure you will become confident in solving problems and understanding mathematical concepts.

The lessons will be tailored to your needs and their structure depends highly on you: usually it is a mixture of repeating the content, solving exercises together, summarising important concepts and talking about exercises you tried yourself at home. The topics, content, pace and methods of learning will be adjusted to your needs, ensuring that you get the most out of my lessons. Besides the lessons, you will get "homework" to work on to strengthen your skills and independent working.

Topics include, but are not limited to:
-Trigonometry
-Geometry
-Linear Algebra
-Calculus (limits, derivation, Integration, etc.)
-Set Theory and Metrics
-Analysis (functions, Taylor series, etc.)
-Algebra (Group/Ring/Field theory, Galois theory, etc.)
-Number Theory (sequence and series)
-Probability (statistics, stochastic processes, etc.)
-Logic and Proofs
-Numerical Analysis
-(Algebraic) Topology (Homology theory, etc.)

If you have another topic in mind that you really need help with, just send me a message!

Whether you need someone that explains the concepts to you or just someone to practice exercises with - I am sure I can help you. You have an exam soon and want to review the main topics? No problem! You have a very specific problem, question or topic that you need help with? I'm here to answer any questions!

The most important part of my lessons is, however, to ensure a safe and comfortable environment - I have no issue with explaining the same concept over and over again until I am convinced that you have understood it. It is important to me that you feel comfortable in asking any questions - I want to show you, that Math is more than a subject and that it can be fun!

Mohamed

4.88

(85)

Is your child in their final year of high school and understands the lessons, but struggles to solve the exercises on their own?

He knows the formulas, but doesn't know how to use them in an exercise?
Does he get stuck on problems or multi-step exercises?
His grades remain low despite his efforts?
Is he lacking in method, speed, or confidence?
Or perhaps the Baccalaureate exam is approaching and he doesn't know how to organize his revision effectively?

I can help him transform these difficulties into methods and skills.

I am a mathematics teacher with 15 years of teaching experience and hold a Master's degree in mathematics. I primarily support high school students, especially in their penultimate and final years, following both the Moroccan and French curricula.

🎯 My goal: to understand why the student is stuck

In mathematics, a bad grade does not always mean that the lesson is not understood.

The student may have:

• gaps stemming from previous years;
• difficulties in understanding certain concepts;
• methodological problems;
• difficulties in analyzing a statement;
• difficulty choosing the right problem-solving strategy;
• errors in calculation or reasoning;
• difficulties in writing a solution correctly;
• a lack of training or confidence.

My role is to identify these difficulties and to work progressively on the points that are really preventing the student from progressing.

📚 Preparation and support in the final year of high school

Specifically, we can work on:

• the functions;
• limits and continuity;
• Derivation and variations;
• exponential and logarithmic functions;
• the sequels;
• antiderivatives and integrals;
• probabilities and random variables;
• geometry;
• differential equations according to the program;
• synthesis exercises and problems;
• Methodology and writing.

The content is of course adapted to the program followed by the student.

📝 Baccalaureate Preparation

For a student preparing for the Baccalaureate, we can implement a structured approach based on:

Understand → Practice → Correct mistakes → Try again → Gain independence

We work with progressive exercises, exam topics and problems adapted to the student's actual level.

The goal is not to mechanically memorize methods, but to be able to recognize a situation, choose a strategy and correctly construct a solution.

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".

💻 Interactive online courses

The sessions take place remotely using Google Meet and an interactive whiteboard.

The student actively participates during the session: he searches, reasons, writes and corrects his mistakes with my guidance.

After the session, I can also provide screenshots of the work done so that the student can review the important points.

👨‍🎓 This support is particularly suited to students who:

• want to improve their results;
• have accumulated deficiencies;
• understand the lesson but get stuck on the exercises;
• need a more efficient working method;
• are preparing for a test or exam;
• wish to prepare seriously for the Baccalaureate;
• want to gain autonomy and confidence.

Each student has different difficulties. Therefore, I begin by identifying their needs before designing the work to be done.

📩 Are you preparing for a test or the Baccalaureate?

In your message, simply tell me:

• the student's level;
• the program followed;
• the chapters that pose a problem;
• the desired objective.

This will allow me to quickly understand the situation and propose a suitable approach.

My goal: to help the student understand mathematics, master problem-solving methods, and approach exams with greater confidence.

Medo

4.88

(85)

As a highly qualified maths teacher, a graduate of the college of teachers and with 11 years of teaching experience in public high schools, I am happy to offer tutoring lessons in mathematics at home for students from level T and Common Core Sciences, TC Technological, 1st Baccalaureate Experimental Sciences and final of all the sectors (SVT-PC-SC.Math-L), as well as for the classes of 2nd and 1st general, Terminale specialty of the French system, as well than the 5th, 4th and 3rd levels of college.

My primary objective is to help students improve their level, deepen their knowledge, assimilate their lessons, fill their gaps and improve their skills in the discipline of mathematics. In addition, I am perfectly able to support them in the preparation of their exams and competitions for access to the Grandes Ecoles, and to provide them with homework help so that they can succeed in this subject.

With my advanced math skills and knowledge, I am confident that I can provide my students with effective tools and techniques to help them progress. My goal is to give them confidence and help them develop a passion for mathematics, a subject that can seem daunting at first, but can be exciting and rewarding if taught in an interesting and fun way.

By choosing my tutoring courses in mathematics, students can expect to receive individual attention and personalized help to overcome their difficulties and achieve their goals. My teaching approach is interactive and student-centered, which allows for a deeper understanding of mathematical concepts and a more practical application of acquired knowledge.

In summary, I am confident in my skills as a math teacher to help students of all levels progress and succeed in this demanding subject. I am convinced that my dynamic and stimulating teaching methods will help my students achieve their math goals and build a confidence that will follow them throughout their lives.

Tauqeer

4.88

(85)

"Embark on a Mathematical Odyssey: A Trilogy of Calculus Excellence

Calculus I: Foundations of Differentiation and Integration

Dive into the fundamental principles of calculus as we explore the core concepts of differentiation and integration. From understanding limits to mastering the rules of derivatives and integrals, this course lays the groundwork for your journey into the world of mathematical analysis.

Calculus II: Advanced Techniques in Integration and Series

Take your calculus skills to the next level with an exploration of advanced integration techniques and infinite series. Delve into methods such as integration by parts, partial fractions, and Taylor series, unlocking the tools to solve complex mathematical problems with precision and finesse.

Calculus III: Multivariable Calculus and Vector Analysis

Elevate your mathematical expertise to new heights with Multivariable Calculus and Vector Analysis. Uncover the intricacies of functions with multiple variables, explore the geometry of three-dimensional space, and master vector analysis. This course opens doors to understanding the dynamics of surfaces, curves, and vector fields.

In each phase of this trilogy, you will experience:

Rigorous Theory: Gain a deep theoretical understanding of calculus concepts, laying a strong foundation for advanced studies.

**Practical Applications: Explore real-world applications of calculus, from physics and engineering to economics and beyond, demonstrating the versatility and power of these mathematical tools.

**Interactive Learning: Engage in interactive sessions, problem-solving exercises, and applications that make the learning experience dynamic and enjoyable.

Whether you are a student gearing up for advanced studies, a professional seeking to apply calculus in your field, or an enthusiast passionate about mathematical exploration, this trilogy is your gateway to mastering the elegance and utility of calculus. Join us on this transformative journey through the heart of mathematical analysis."

Ayoub

4.88

(85)

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

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

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

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

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

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

Good preparation and success in your studies!

.

Aqsa

4.88

(85)

Build a strong foundation in mathematics with personalized lessons in Calculus, Algebra, and Trigonometry. Whether you're looking to improve your grades, prepare for exams, or deepen your understanding, this course adapts to your level and learning pace.

Algebra: Equations, inequalities, polynomials, and functions

Trigonometry: Angles, identities, graphs, and real-world applications

Calculus: Limits, derivatives, integrals, and problem-solving techniques

Ideal for high school and college students, or anyone needing a math boost. Lessons are interactive, supportive, and tailored to your goals. Let's make math easier and more enjoyable.
Our personalized, one-on-one classes focus on clear explanations, interactive practice, and real-life applications to help you gain confidence and improve your grades.

Available for all levels | Flexible scheduling | Exam preparation support.

Let’s get started! Book your first lesson now, and we’ll make math easier and more enjoyable together.

Reza

4.88

(85)

I hold a PhD in Mechanical Engineering and currently work as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).
Key topics that I teach for this course include:
• Calculus: Differentiation & integration, Multivariable calculus
• Linear Algebra: Matrices, vectors, systems of equations, Eigenvalues and eigenvectors
• Differential Equations: First- and second-order ODEs, Laplace transforms
• Complex Numbers: Polar form, Euler’s formula
• Vector Calculus: Gradient, divergence, curl, Line and surface integrals
• Series & Transforms: Taylor series, Fourier series

I understand that not all teachers excel in teaching Engineering and Mathematics courses and explaining their importance to students. Courses with strong mathematical backgrounds may become boring for students who lack a solid mathematical basis. To address this, I take a student-centered approach, starting from the basics to actively engage all students, including those with weaker mathematical backgrounds. I also provide practical examples to demonstrate the real-world significance of what they are learning, inspiring and fostering their interest in the subject matter.

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Faten

4.88

(85)

This fun and interactive math class is designed to help kids build strong math skills and confidence while enjoying the learning process! Through games, real-life examples, and easy-to-follow explanations, students will explore essential math topics such as addition, subtraction, multiplication, division, fractions, and problem-solving.

Each lesson is adapted to the child’s level and learning pace, encouraging curiosity, critical thinking, and a love for numbers. My goal is to make math simple, engaging, and rewarding for every student.

Whether your child needs extra help with schoolwork or wants to get ahead, this class provides the perfect balance of learning and fun!

Intasar

4.88

(85)

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.

Ankush

4.88

(85)

Master AP Calculus AB/BC & Precalculus with an experienced international mathematics educator having 14+ years of teaching expertise across AP, IB, SAT, ACT, A Levels, and advanced high school mathematics.
This course is designed for students who want to build a strong conceptual foundation, improve problem-solving speed, and achieve top scores in AP examinations while developing genuine mathematical confidence.
What Students Will Learn
AP Precalculus

Functions and transformations

Polynomial, rational, exponential & logarithmic functions

Trigonometric functions and identities

Complex numbers and vectors

Conic sections and analytic geometry

Mathematical modeling and graph analysis

AP Calculus AB

Limits and continuity

Differentiation techniques

Applications of derivatives

Curve sketching and optimization

Integration and area under curves

Fundamental Theorem of Calculus

Differential equations and motion problems

AP Calculus BC

Advanced integration techniques

Parametric, polar & vector functions

Sequences and series

Taylor & Maclaurin series

Convergence tests

Advanced applications of calculus

Teaching Methodology

Step-by-step conceptual teaching

Focus on AP-style problem solving and exam strategies

Personalized attention in every session

Use of graphical visualization and intuitive explanations

Regular assignments, quizzes, and timed practice tests

Special emphasis on avoiding common mistakes and maximizing scores

Why Choose These Classes?

14+ years of international teaching experience

Experience teaching students from USA, Canada, UAE, UK, Singapore, and India

Proven success in helping students achieve top AP scores

Expertise in handling both advanced learners and students needing strong foundation building

Support for school coursework, homework, test preparation, and competitive exams

Whether you are aiming for a 5 in AP Calculus AB/BC, strengthening your Precalculus concepts, or preparing for university-level mathematics, these classes provide structured guidance, rigorous practice, and individual mentoring to help you excel with confidence.

Baia

4.88

(85)

Many students lose confidence in math over the school year - not from lack of ability, but from pace, gaps, or one bad unit that never got resolved. This summer program (through mid-September) is built to fix that before the new year starts, not just review generally.
I work with middle and high school students, including IB, to close specific gaps not a broad refresher, but targeted work on exactly what's holding a student back. I bring the same structured, evidence-based approach I use with my university-admission students: identify precisely what's missing, build a plan around it, and track real progress, not just hours logged.
Best for students who want a calm, focused reset before the new academic year begins not for open-ended tutoring with no target

Marc

4.88

(85)

I have extensive experience guiding university students to successfully complete this subject.

🔥 Essential content blocks:
Matrices and Determinants: Operations, rank, inverse matrix and calculation of determinants.
Systems of Linear Equations (SLE): Discussion and solution (Gauss method, Cramer's rule).
Vector Spaces: Linear dependence, bases, dimension and subspaces.
Linear Transformations: Kernel, image, associated matrix, and changes of basis.
Diagonalization: Eigenvalues and eigenvectors.

🌍 Class format:
Bilingual: Explanations adapted 100% in English or Spanish.
📍 In Barcelona (In Person) or conveniently in Online mode.