Differential Equations Comprehensive mathematics course for engineering

From 40 C$ /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

41 C$ /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.

Lina

4.96

(23)

I specialize in tutoring math from basic to advanced levels. Whether you need help preparing for exams, solving homework, learning a new topic, or reinforcing prior knowledge, I’ll guide you every step of the way.

My approach focuses on understanding rather than memorization, helping students grasp concepts deeply and apply them confidently.

I can assist in:
- Differential & Integral Calculus
- Multivariable Calculus
- Algebra & Linear Algebra
- Differential Equations
- Trigonometry
- Statistics & Probability

Matías

4.96

(23)

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

4.96

(23)

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!

Bibek

4.96

(23)

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).

Rania

4.96

(23)

[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.

Medo

4.96

(23)

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

4.96

(23)

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.

Ayoub

4.96

(23)

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

4.96

(23)

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.

Rayane

4.96

(23)

Dynamics is a branch of physics and engineering mechanics that studies the motion of objects and systems under the influence of forces. In this course, students delve into the principles governing the behavior of particles and rigid bodies in motion. Topics covered include kinematics, which describes the motion without regard to its causes, and kinetics, which focuses on the forces causing the motion. Students learn Newton's laws of motion, the principles of work and energy, and the concepts of impulse and momentum. Additionally, they explore rotational motion, including angular velocity, angular acceleration, and moments of inertia. Through theoretical study and practical applications, students develop the ability to analyze and predict the motion of objects and systems, essential for fields such as mechanical engineering, aerospace engineering, and physics.

سيف

4.96

(23)

Are you struggling with math? Do you want to improve your grades and boost your confidence? My personalized math lessons are designed just for you! With over 8 years of experience teaching math, I help students of all levels, whether you're a beginner or working on advanced topics.

In these lessons, you will receive individual attention that will help you:

- Mastering basic concepts such as algebra, geometry, calculus, etc.
- Breaking down complex issues into easy-to-understand steps
- Develop critical thinking and problem-solving skills
- Preparing for exams and improving test-taking strategies

I tailor each lesson to your learning style and individual needs. Whether you're looking to ace an upcoming test or strengthen your overall understanding of mathematics, these sessions will help you build confidence and achieve better results.

I also offer bilingual lessons in English, Arabic, and French, ensuring you learn in the language you feel most comfortable with. Let's work together to reach your full potential!

Otar

4.96

(23)

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.

Reza

4.96

(23)

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! :)

Verónica

4.96

(23)

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.

Ammar

4.96

(23)

Engineering and design become much easier when analysis, geometry, technical representation, digital modelling, spatial reasoning, and visual communication are connected within one coherent problem-solving process.

I am a PhD-qualified engineer, university professor, researcher, technical trainer, designer, and multidisciplinary consultant with more than 30 years of experience across engineering, teaching, project work, CAD, technical drawing, 3D modelling, GIS, visualization, information systems, and professional problem solving.

This class provides a personalized pathway for school and university students, engineering and design learners, architects and technicians, researchers, professionals, career changers, and adult learners. Depending on your goals, we can focus deeply on one specialized area or connect several areas within a complete technical workflow.

PHYSICS & APPLIED ENGINEERING SCIENCE
• Mechanics: motion, forces, Newton’s laws, work, energy, momentum, and rotational motion
• Statics, dynamics, equilibrium, torque, and engineering applications
• Fluids, pressure, buoyancy, density, and basic fluid mechanics
• Heat, temperature, thermodynamics, and energy transfer
• Waves, oscillations, sound, optics, electricity, and magnetism according to the learner’s level
• Mathematical modelling of physical systems
• Units, dimensions, vectors, graphs, and interpretation of experimental or engineering data
• Connecting physical principles to engineering design, calculations, and real-world technical problems

CHEMISTRY & ENGINEERING MATERIALS
• Atomic structure, chemical bonding, molecular structure, and periodic trends
• Stoichiometry, chemical reactions, solutions, concentrations, gases, and equilibrium
• Acids, bases, oxidation-reduction, and introductory thermochemistry
• Properties and behaviour of engineering materials
• Metals, polymers, ceramics, composites, and material-selection principles when relevant
• Connecting chemical principles to materials, manufacturing, environmental, and engineering applications

ENGINEERING DESIGN & PROBLEM SOLVING
• Understanding and structuring engineering problems
• Translating requirements into technical objectives
• Identifying constraints, assumptions, variables, and criteria
• Engineering calculations and quantitative reasoning
• Applied mechanics and engineering fundamentals when relevant
• Dimensional reasoning and unit consistency
• Design alternatives and trade-off analysis
• Verification and reasonableness checking
• Engineering decision making
• Design methodology and iterative improvement
• Interpreting technical specifications
• Connecting analysis to drawings, models, and deliverables
• Engineering-management and multidisciplinary project contexts

AUTOCAD & TECHNICAL DRAFTING
• AutoCAD interface and efficient workflows
• Coordinate systems and precise geometric construction
• 2D drafting fundamentals
• Layers, properties, object organization, and standards
• Blocks and reusable drawing content
• Dimensions, annotations, text, and hatching
• Model space and paper space
• Layouts, viewports, scales, and plotting
• Technical drawing principles
• Reading and interpreting engineering drawings
• Plans, sections, elevations, and details
• Drawing organization and documentation quality
• Advanced drafting workflows
• AutoCAD 3D concepts when relevant
• Improving speed, accuracy, and drawing consistency

BIM & REVIT WORKFLOWS
• BIM concepts and model-based thinking
• Revit project organization
• Levels and grids
• Walls, floors, roofs, and building elements
• Doors, windows, components, and families
• Views, sections, elevations, and schedules
• Annotation and documentation workflows
• Sheets and presentation standards
• View templates and graphical consistency
• Family-library organization
• BIM coordination principles
• Connecting models to professional documentation
• Developing structured Revit templates and repeatable workflows

3D MODELLING & PARAMETRIC DESIGN
• 3D geometric thinking
• Curves, surfaces, solids, and meshes
• Constructive and feature-based modelling concepts
• Precision modelling
• Product and engineering geometry
• Architectural and spatial modelling
• Rhino 3D workflows
• Grasshopper and visual parametric thinking
• Parameters, relationships, dependencies, and constraints
• Algorithmic generation of geometry
• Reusable and adaptive design logic
• Design iterations and controlled variation
• SolidWorks and Inventor workflows when relevant
• 3D Studio Max and visualization contexts when relevant
• Connecting models to drawings, analysis, fabrication, or presentation

CAD/CAM & MANUFACTURING WORKFLOWS
• From CAD geometry to manufacturable components
• Design-for-manufacturing principles
• Introduction to CAM concepts and machining strategies
• CNC fundamentals, coordinate systems, tools, operations, and toolpaths when relevant
• SolidWorks CAD/CAM workflows
• Verification, simulation, and interpretation of manufacturing outputs

GIS, MAPPING & SPATIAL ANALYSIS
• Foundations of Geographic Information Systems
• Spatial data models
• Vector and raster concepts
• Coordinate systems and projections
• Georeferencing
• Spatial data collection and organization
• Attribute data and database relationships
• Geodatabases
• Selection and spatial queries
• Buffering, overlay, proximity, and spatial analysis
• Thematic mapping
• Cartographic principles
• Spatial patterns and decision support
• ArcGIS Desktop and ArcGIS Pro workflows when relevant
• Remote-sensing and imagery concepts when relevant
• Integrating maps, analysis, and professional reporting

GRAPHIC DESIGN & VISUAL COMMUNICATION
• Principles of visual communication
• Composition and layout
• Visual hierarchy
• Typography
• Colour and contrast
• Image preparation and editing
• Vector graphics and illustration
• Technical diagrams and infographics
• Maps and spatial presentation
• Engineering and architectural presentation
• Portfolio and project-board development
• Presentation graphics
• Adobe Photoshop workflows
• Adobe Illustrator workflows
• Adobe InDesign workflows
• Connecting technical accuracy with visual clarity

Depending on your objectives, practical work may involve AutoCAD, Revit, BIM workflows, Rhino, Grasshopper, SolidWorks, Inventor, 3ds Max, ArcGIS Desktop, ArcGIS Pro, QGIS, Adobe Photoshop, Illustrator, InDesign, SketchUp, Figma, Canva or other relevant technical and design tools.

My teaching approach follows a structured workflow:
define the problem → understand the requirements → analyze the constraints → develop the geometry or data structure → create the drawing, model, or spatial analysis → verify accuracy → refine the solution → communicate it clearly

I do not simply demonstrate isolated commands. I help you understand why a workflow is appropriate, how information should be structured, how accuracy can be verified, how alternative solutions can be evaluated, and how the final technical idea should be communicated professionally.

We can work with your course syllabus, engineering problem, technical drawing, CAD file, Revit/BIM model, 3D model, parametric definition, GIS dataset, map, design project, portfolio, graphic layout, or professional workflow challenge.

Whether you are learning your first CAD commands, solving an engineering problem, developing a BIM workflow, building a 3D or parametric model, conducting spatial analysis, or improving technical visual communication, I will adapt the sessions to your level, objectives, and pace.

My goal is to help you become an independent technical problem solver who can analyze, design, model, verify, visualize, and communicate solutions with confidence.