Numerical Analysis: Numerical Methods and Scientific Computing (with Matlab)

From 48.11 C$ /h

Are you an engineering or mathematics (Bachelor's/Master's) student who finds numerical analysis too abstract or difficult to apply?

This course provides a rigorous yet practical introduction to scientific computing, showing how numerical methods are used to solve real engineering and scientific problems.
You'll first learn how numerical computations behave by studying floating-point arithmetic, rounding and truncation errors, conditioning, stability, and error propagation. These concepts are essential for understanding why numerical algorithms succeed—or fail.
Next, you'll learn how to solve nonlinear equations using the bisection method, fixed-point iteration, and Newton's method, before moving on to linear systems through both direct methods (Gaussian elimination, LU decomposition, Cholesky factorization) and iterative methods (Jacobi, Gauss-Seidel, and relaxation methods).
The second half of the course covers polynomial interpolation and approximation (Lagrange, Newton, Hermite, least-squares approximation, and splines), numerical differentiation and integration, and numerical methods for ordinary differential equations, including Euler's method, Runge-Kutta methods, and finite difference techniques.
Every algorithm is implemented step by step in Matlab so that you not only understand the mathematics behind it but also learn how to apply it to practical engineering problems. Throughout the course, we compare the accuracy, convergence, stability, and computational efficiency of the different numerical methods.
This course is ideal for students preparing for university exams, engineering projects, scientific computing courses, or anyone wishing to build solid foundations in numerical analysis.

Prerequisites: A good understanding of single-variable calculus, basic linear algebra, and elementary programming concepts is recommended.

Location

Online from France

Age

Adults (18-64 years old)

Student level

Beginner

Intermediate

Advanced

Duration

120 minutes

The class is taught in

English

French

Skills

Numerical analysis

Engineering

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

Anh

4.78

(9)

In these tailored Engineering sessions, I combine tutoring with mentoring to guide your technical understanding and foster your growth in key engineering concepts. My approach adapts to your natural learning style, ensuring that each lesson is intuitive, engaging, and effective.

With over 10 years of experience in Aerospace, Mechanical, and Electrical engineering, I bring a wealth of both academic and real-world expertise to our sessions. I’ll share insights from the Aerospace, Maritime, and Aviation industries to help you develop practical skills and problem-solving techniques, tailored to your needs.

Whether you're studying:
• Aerospace Engineering
• Aeronautical Engineering
• Mechanical Engineering
• Electrical Engineering
• other types of Engineering

Or need help with areas like control systems or data analysis, I’m here to guide you through any engineering challenge. My lessons are customized to fit your learning style and academic goals, ensuring you leave each session feeling confident and prepared.

Contact me now for availability, and let's schedule your first session soon. I look forward to working with you!
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I'm actively supporting students from top universities worldwide, including:

UK:
• Imperial College London (+ Business School) (ICL)
• University College London (UCL)
• King’s College London (KCL)

The Netherlands:
• Delft University of Technology (TUDelft)
• University of Amsterdam (UvA)
• University of Groningen (RUG)

Switzerland:
• ETH Zurich - Swiss Federal Institute of Technology

Australia:
• Queensland University of Technology (QUT)
• University of Queensland (UQ)
• Griffith University
__________________________________________________________________________________

My name is Anh, and I was born and raised in the U.K. With over 10 years of international experience tutoring Maths, Sciences, and Engineering from Middle School to University Level, I’ve supported over 80 students worldwide in unlocking their full potential.

I have a fun, ambitious, and outgoing personality, and I’m passionate about music, cooking, and trying new things. In my tutoring and mentoring, I am patient, adaptable, and committed to meeting the unique needs of each student.

I work as an Engineering Specialist/Consultant, holding:
• Master’s degree in Aeronautical Engineering from Imperial College London,
• AAA* A-Level in Further Maths and Physics,

Having been mentored and tutored myself, I understand the challenges students face. Through my own experiences of overcoming obstacles and achieving success, I’m passionate about helping others do the same. Let’s work together to ensure you reach your full potential, both academically and personally!

Matías

4.78

(9)

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

4.78

(9)

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 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

4.78

(9)

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.

Ayoub

4.78

(9)

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!

.

Marcos

4.78

(9)

TU Delft is Europe's most prestigious university for aerospace studies, preparing some of the best engineers. However the selection procedure is tough and demanding, and only those prepared have a chance to succeed.

As a TU Delft student, I know from first hand how stressfull this process is, and can therefore help you succeed in the preparation of these exams. I have previous experience as a tutor back in high school, helping students improve their grades from Cs to As.

Moreover, I have an extensive knowledge on the subjects tested on these exams, having taken them myself, completed the courses at university with excellent grades and teaching over 10 students for the entrance exam.

Throughout the class, I will use a presentation to explain the main concepts of each exam (Maths, Physics and Aerospace Engineering), focusing on those subjects the student is struggling with most. After this, I will help the student complete some practice excercises, and then assign extra practice to complete on their own time. These exercises will then be reviewed in the following class to ensure the topics have been understood.

I am looking forward to help you in your journey as an aerospace engineer!

Mohamed

4.78

(9)

Learn calculus from an instructor with proven experience tutoring advanced calculus at the college level. This course combines rigorous academic standards with clear, student-centered explanations to help learners truly understand challenging concepts.

With experience guiding university students through advanced topics, the instruction is practical, thorough, and focused on long-term mastery—ideal for students pursuing mathematics, engineering, or science.

Giorgi

4.78

(9)

Welcome to Math Journeys!
Mathematics isn't just about numbers on a page; it’s the language of the universe! On this journey, you won't just be "doing sums." You will be a pattern detective, a shape architect, and a logic explorer.
Your Mission: To look at the world around you and find the hidden math waiting to be discovered. Whether you are counting the stars or calculating the speed of a rocket, every step you take makes your "Math Brain" stronger!

1. Early Numeracy & Logic (Ages 4–6)
At the preschool and kindergarten level, math is less about formal equations and more about "number sense." This category covers:
Counting and Cardinality: Recognizing numbers and understanding that a count represents a quantity.
Sorting and Patterns: Identifying shapes, colors, and repeating sequences.
Spatial Awareness: Understanding "above," "below," "next to," and basic geometry.

2. Operations & Algebraic Thinking (Ages 7–12)
As children move into elementary and middle school, they transition from counting to calculating. This category includes:
Core Operations: Addition, subtraction, multiplication, and division.
Problem Solving: Translating word problems into mathematical expressions.
Foundational Algebra: Understanding variables and the relationship between numbers (e.g., $2 + x = 5$).

Measurement, Data & Fractions (Ages 7–12)
This category addresses the more technical side of primary school math that deals with parts of a whole and real-world application:
Fractions and Decimals: Moving beyond whole numbers to understand ratios and proportions.
Measurement: Learning units of time, length, mass, and volume.
Data Literacy: Reading simple graphs, charts, and understanding basic probability.

Mohtady

4.78

(9)

This lesson is aimed at engineering students and those interested in the field of mechatronics and practical applications, where basic and advanced concepts are presented in a simplified and smooth style that combines theoretical understanding and practical application.

The lesson will focus on explaining the ideas in a gradual way, starting from the basics and progressing to solving problems and real-world applications, using practical examples, practice exercises, and models from real projects to increase understanding and consolidate information.

Attention is also given to simplifying complex concepts, clarifying common mistakes, and providing effective methods for quick solutions, which helps the student achieve the best performance in both academic and practical application.

This lesson is suitable for beginners as well as those who have a background and wish to strengthen their skills and reach a professional level.

Khaoula

4.78

(9)

Are you struggling with mathematics or looking to deepen your knowledge? I offer private lessons tailored to your level and needs, whether you are a beginner, experiencing academic difficulties, or wishing to progress quickly.
The sessions cover fundamental concepts (arithmetic, algebra, geometry, fractions, etc.) up to more advanced topics (functions, probability, trigonometry, analysis, etc.). Each course is tailored to your academic program and objectives.
The goal is to give you the tools and method to understand sustainably, gain confidence and improve your results.

Lina

4.78

(9)

Learn Excel in a practical way, focused on real-world work situations. This isn't a theoretical course: from the very first class, you'll work with applied exercises that will help you gain confidence and improve your professional profile.

It is aimed at people who want to start from scratch or improve their level of using Excel in their work, studies or personal projects.

In classes you will learn to:

Master Excel from basic to intermediate/advanced level
Use key formulas such as SUM, IF, VLOOKUP/XLOOKUP
Create pivot tables to analyze information
Clean and organize data efficiently
Design clear reports and basic dashboards
Applying Excel to real-world business cases

The classes are personalized according to your level and goals. We can work with your own files or with practical exercises that simulate real-life situations.

My approach is for you to learn quickly, understand what you're doing, and be able to apply it immediately.

I'm an Electronics Engineer with experience in data analysis and marketing analytics. I've worked with tools like Excel, Power BI, and RapidMiner on real-world projects, so I can teach you not only "how" but also "why" to use Excel in the workplace.

Youssef

4.78

(9)

- Python Programming is currently the most utilized tool in the data analysis world. Its ease-of-use and wide variety of packages/libraries makes it a most valuable skill to have for a student wanting to get started in the world of data analysis and Object Oriented Programming.

- This course is geared towards beginners and intermediates who are interested in a hands-on approach to learning without neglecting the scientific background of the covered material, which will include the following:
* Introduction to Python Programming
* Understanding of OOP concepts and use-cases
* Crash course in statistical analysis concepts
* The usage of specified analysis libraries like Pandas and Numpy
* Introduction to Data science
* Neural Networks

Marco

4.78

(9)

Supporto completo per Analisi 1: teoria, esercizi, metodo e preparazione agli esami universitari.
Lavoro con un approccio chiaro, graduale e orientato alla comprensione dei concetti fondamentali (limiti, continuità, derivate, integrali, serie).
Aiuto lo studente a costruire un metodo solido, utile sia per superare l’esame sia per affrontare gli esami successivi del percorso STEM.

Daniel

4.78

(9)

The lesson is tailored to your wishes. I can explain the theory from the *Getal & Ruimte* method (or *Moderne Mathematics*). We can go through the exercises you want to review, or simply the exercises in the book. We can review tests or prepare for exams. Together, we will strive for mathematics that you understand.

Ammar

4.78

(9)

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.

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

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, Adobe Photoshop, Illustrator, InDesign, 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.