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.

Jeremy

4.79

(19)

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 5 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!

Samaa

4.79

(19)

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.

Pia

4.79

(19)

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!

Medo

4.79

(19)

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

4.79

(19)

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.

Tauqeer

4.79

(19)

"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

4.79

(19)

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!

.

Roland

4.79

(19)

The TU Delft Aerospace Engineering Bachelor is one of the most prestigious bachelor programmes the Netherlands has to offer. With it being 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 massive part of this admission procedure is the selection exam, consisting of three different tests: Mathematics, Physics and First-Year Material.

As a cum laude graduated Aerospace Engineer at TU Delft, who has also been tutoring since 2017, I have a lot of valuable experience and knowledge of the program to help you out with the right preparation to get in. Moreover, after successfully helping more than 10 students secure a spot over the last three years, I have decided to prepare an additional custom lesson plan for each student, based on the admission syllabus, to ensure an even higher chance of admission.

With my calm and stepwise explanation, weaker topics will be addressed, and your solution procedures will be polished. Each lesson will either be theory, exercise-based or an opportunity to talk about the admission, student life, Delft, what to expect from the study and whether it is the right fit for you.

Otar

4.79

(19)

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 mathematics-related courses (Calculus, Linear Algebra, Differential Equations, etc.) and exams.

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.

Students who are already strong in mathematics can also use our lessons to go beyond the standard curriculum and develop deeper mathematical reasoning and problem-solving skills.

Reza

4.79

(19)

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

4.79

(19)

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

4.79

(19)

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

4.79

(19)

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.

Ammar

4.79

(19)

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
• 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

DATA ANALYSIS & VISUALIZATION
• Data organization and quality assessment
• Data cleaning and preparation
• 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.

Marc

4.79

(19)

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.