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!

Jeremy

4.88

(85)

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!

Adam

4.88

(85)

===================Satisfied or refunded=======================
Hello, I am a doctoral student in electrical engineering and associate professor in engineering sciences, experienced in the field of electrical engineering, I offer courses in engineering sciences (Electronics, automatics, electrical engineering, automation, programming).
Computational Sciences and Technology SNT
IS engineering sciences
Numerical and computer science SNI
Digital electronics
Analog electronic
electromagnetism
Signal processing and data acquisition
Automatic (discrete, continuous)
electrical engineering (transformers, electrical machines, switching power supply)
C/C++ Programming, Assembler, ARM, STM32
renewable energy (wind, PV-solar)
RDM - strength of materials mechanics of solids
Python and SYSML
PIC microcontroller
Microprocessor
MATLAB, proteus
Preparation for competitions
Supervision of graduation projects
CAPLP Electrotechnical and Electronic Electrical Engineering
CAPLP and BTS subjects and answers
Correction caplp 2017 CAPLP 2018 CAPLP 2019 CAPLP 2020
CORRECTION OF BTS TESTS

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).

Baia

4.88

(85)

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.

Roland

4.88

(85)

Math, calculus and physics can sometimes be overwhelming, especially when the theory or solving method is unclear. I am a cum laude Aerospace Engineering graduate from TU Delft and have helped other pupils with their problems since 2017. With my calm and stepwise explanation, a second alternative view of the solution procedure is given, which is often what is missing. I tutor a variety of math and physics courses on both secondary and high school levels, but also at a scientific bachelor level. These can either be theory/exercise-based, but also exam preparation.

Rayane

4.88

(85)

Mechanics of Materials is a foundational course in engineering that explores the behavior of materials under various loading conditions. In this course, students study the relationship between external forces applied to a material and the resulting internal stresses and strains. Topics covered include axial loading, torsion, bending, and combined loading, as well as stress and strain analysis in beams, columns, and shafts. Through theoretical concepts and practical applications, students learn to analyze and design structural components to ensure they can withstand the loads placed upon them while maintaining structural integrity and safety. Mechanics of Materials is essential for engineers in fields such as civil, mechanical, aerospace, and materials engineering, providing a fundamental understanding of how materials behave under different mechanical conditions.

Shrika

4.88

(85)

Hey There!

About Me:
I am Shrika, a former IB student who has recently passed IB in 2024. Of the 6 subjects I have taken, I am most profound in mathematics followed by geography at higher level. Currently I am a university student at the Technical University of Eindhoven pursuing Data Science at a bachelor's level.

What I offer:
Considering the challenging math I have encountered during my IB years along with my current university course, I am quite comfortable with mathematics and am looking to provide mathematics lessons for individuals who are especially in the IB curriculum. I can provide classes for Math AISL , AASL and AAHL students. Of course, due to the nature of the course, I am proficient to teach students who are younger such as in primary or secondary school as IB is a course for high school students.

What the course offers:
As I have hinted out in the previous section, the course is tailored to the student itself. IB students don't need to worry as I have materials and classes already prepared. If you are a student not following the IB curriculum but can provide a textbook in mathematics for me to teach from, that is possible too! Feel free to contact me to discuss further details!

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! :)

Aafaq

4.88

(85)

Calculus I, the first course in this extensive mathematics curriculum, teaches students the foundational ideas of limits, derivatives, and how to apply them to real-world issues including rates of change and optimization. Calculus III, which builds on this basis, introduces partial derivatives, multiple integrals, and vector calculus, extending these concepts into several dimensions. When taken as a whole, these calculus courses build the solid analytical foundation and spatial thinking abilities needed for further study in applied mathematics, science, and engineering.

Students study Number Theory concurrently, exploring the complex patterns and characteristics of integers, such as primes, modular arithmetic, divisibility, and the classical theorems that form the basis of much of contemporary computer science and encryption. In addition to this theoretical emphasis, the Numerical Methods course gives students useful computational tools to help them approximate solutions to challenging mathematical problems that are impossible to solve analytically. Students are prepared for a variety of jobs in mathematics, engineering, technology, and other fields by this program, which blends strong theoretical knowledge with algorithmic problem-solving abilities.

يحيى

4.88

(85)

Lesson:
This course is a cornerstone for any student aspiring to excel in scientific and technological fields. The lesson focuses on transitioning from traditional mathematics to the world of "instantaneous change" through the study of limits, derivatives, and their vital applications.
In this course you will learn:
• A deep understanding of Limits and Continuity.
• Mastering the rules of differentiation for various functions (trigonometric, exponential, and logarithmic functions).
• Applying differentiation to solve real-world problems such as finding maximum, minimum, and time-related rates.
• A preliminary introduction to the concept of integration and spaces.
This content is designed to be a practical and comprehensive guide to help you excel academically and pass exams with high efficiency.
):
Calculus I serves as the bridge between school mathematics and advanced university science. This course is specifically designed to enable students to understand the "language of movement and change" that governs our world, and it is a fundamental and essential requirement for engineering, artificial intelligence, and science students at top universities nationwide.
What will the student learn on this academic journey?
• The philosophy of limits and continuity: We will break the barrier of fear of limits, to learn how to predict the behavior of functions at critical points and how to determine the continuity of curves, which is a vital basis for understanding the stability of geometric systems.
• The Art of Derivative: The student will practice extracting the instantaneous rate of change using advanced differentiation rules (Product, Quotient, and Chain Rules), with a strong focus on trigonometric and logarithmic functions that appear frequently in EmSAT exams.
• Real-world applications (Optimization): We will not be satisfied with paper-based solutions, but will learn how to use differentiation to find optimal solutions (maximum and minimum values), such as determining the shortest path or achieving the highest technical efficiency at the lowest possible cost.
• Introduction to Integration: We will lay the foundation for the science of integration by understanding the inverse relationship between differential and integral calculus, which will fully prepare the student for the Calculus 2 course.
Why choose this lesson?
We don't just solve equations; we aim to build an "analytical mindset." This approach simplifies complex concepts, connects them to practical realities, and equips students with smart strategies for tackling the most frequently asked exam questions in UAE university curricula, ensuring not just success, but excellence and an A grade.
Additional information for the student (more detailed):
• Prerequisites: The student should preferably have a good understanding of the basics of algebra and the ability to solve equations and inequalities.
• Required tools: A scientific calculator (preferably advanced models such as those allowed in EMAST), and a graph book to track the behavior of the curves.
• Session approach: We follow a strict and organized system of explanation based on progression from easy to difficult, while providing training examples that simulate actual final exams.

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.

Nazir

4.88

(85)

Having coached 100+ students from more than 10 universities worldwide, I have developed a strong understanding of the homework expectations, assessment methods, and exam styles commonly used in university-level mathematics courses.

One of the biggest challenges students face in university calculus is the transition from high school mathematics. Differences in curriculum, notation, problem-solving approaches, and calculator usage can create significant knowledge gaps that make it difficult to keep up with the course material.

I help students identify and close these gaps by strengthening the underlying mathematical foundations and developing the skills required for success in higher education. Whether you are struggling with prerequisites, falling behind in lectures, or aiming for top grades, lessons are tailored to your specific needs and course requirements.

I provide comprehensive support in Calculus I, II, and III, including:

- Limits and continuity
- Differentiation and applications of derivatives
- Integration techniques and applications
- Sequences and series
- Multivariable calculus
- Partial derivatives and multiple integrals
- Vector calculus and related topics

I can help you understand assignments and prepare for exams, build the confidence and understanding needed to excel throughout your university studies.

Verónica

4.88

(85)

Primary school teacher specializing in supporting students in learning mathematics. I offer classes tailored to each level to reinforce calculation, problem-solving, logical reasoning, and the understanding of mathematical concepts. I use clear explanations, practical examples, and motivating activities that help students gain confidence and independence in the subject.

Tadeáš

4.88

(85)

Online Mathematics Tutoring in English

I offer individual online mathematics lessons for students of different ages and ability levels. I have several years of teaching experience and I focus on making mathematics clear, logical and understandable ("connect the dots") rather than simply teaching students formulas by heart.

I can help students with school mathematics, homework, exam preparation and more advanced topics. I also work with students studying in English and can provide lessons entirely in English.

I can help with:

School mathematics
GCSE Mathematics
IB Mathematics
Exam preparation
Calculus
Entrance examinations
Homework and revision
Algebra, geometry, functions, equations, percentages, statistics and other mathematical topics

My lessons are adapted to the student's current level and individual goals. I explain difficult concepts step by step and use practical examples to make sure the student understands not only how to solve a problem, but also why the solution works.

Lessons are conducted 100% online in English.