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Since July 2026
Instructor since July 2026
Differential Equations Comprehensive mathematics course for engineering
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From 40 C$ /h
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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
location type icon
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
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
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.
Read more
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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.


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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.

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and many more...

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

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

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

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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?
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Others understand the lesson but lack a method.
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💻 Truly interactive online courses

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🏆 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".

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👨‍🎓 For which students?

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• High school: 10th, 11th, 12th grade
• Moroccan and French programs
• Mathematics specialization at the French high school
• Refresher course
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Key topics that I teach for this course include:
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• Descriptive statistics
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• Conditional probability, independence, Bayes’ theorem, and counting methods
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• KPI development and performance analysis
• Dashboard concepts and decision-support reporting
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My teaching approach follows a clear progression:
understand the problem → identify the appropriate concept or method → develop the reasoning → calculate or analyze → verify the result → interpret it → communicate the conclusion

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

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

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

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

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

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

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

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

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

.
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The TU Delft Aerospace Engineering Bachelor is one of the most prestigious bachelor programmes the Netherlands has to offer. As it is highly sought-after by students all around the globe, there is a highly competitive selection procedure which needs to be completed to get admitted to this popular degree. A major part of this admission procedure is the selection exam, consisting of three different tests: Mathematics, Physics and First-Year Material.

As a cum laude graduate Aerospace Engineer at TU Delft, who has also been tutoring since 2017, I have a lot of experience and knowledge of the program to help you out with the right preparation to get in. Over the last four years, I have helped tens of students secure a spot! Moreover, I offer a free personalised lesson plan for each student, which is fully based on the admission syllabus and past exams, to ensure an even higher chance of admission for each student.

With my calm and stepwise explanation, weaker topics will be addressed, and your solution procedures will become more effective and accurate. Each lesson will either be theory, exercise-based or an opportunity to talk about the admission, student life, the city of Delft, what to expect from the study and whether it is the right fit for you.
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Struggling with math? Want to boost your grades and feel more confident? My personalized math lessons are designed just for you! With over 8 years of teaching experience, I help students from all levels, whether you're just starting or tackling advanced topics.

In this class, you’ll receive one-on-one attention to:

Master core math concepts like Algebra, Geometry, Calculus, and more
Break down complex problems into easy-to-understand steps
Develop critical thinking and problem-solving skills
Prepare for exams and improve test-taking strategies
I adapt each lesson to your unique learning style and needs. Whether you’re aiming to ace your next test or strengthen your overall understanding, these sessions will build your confidence and help you achieve better results in math.

I also offer bilingual instruction in English, Arabic, and French, ensuring you can learn in the language that makes you most comfortable. Let’s work together to reach your full potential!
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Hello, I’m Oto. I offer mathematics lessons for high school and university students, from strengthening fundamentals to working with advanced topics and challenging problems. I also provide SAT Math preparation and help university students prepare for advanced mathematics coursework, including Calculus, Linear Algebra, Differential Equations, etc.
I believe math should make sense, so my lessons focus on clear explanations, logical structure, and active problem solving. I adapt my teaching to each student’s level and pace, aiming to build confidence and independent thinking rather than reliance on memorized formulas.
For students preparing for the SAT, lessons combine mathematical understanding with practical exam strategy, focusing on accuracy, efficiency, and time management. For university students, I can help break down difficult concepts, work through problem sets, and prepare systematically for exams.
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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! :)
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Mathematics, statistics, and data analysis become much easier when formulas, reasoning, computation, and real-world interpretation are connected clearly.

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

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

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

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


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

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

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

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

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

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