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

From 26 £ /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

Matías

4.88

(85)

Do you aspire to master mathematics, physics and engineering at a university level? Do you want to exceed your limits and excel in these demanding fields? Do not search anymore ! Our tailor-made private lessons are there for you.

Why choose our courses?

Unparalleled Expertise: Our professors are experts in their field, with extensive experience in university teaching. They are ready to guide you towards success.

Personalized Program: We tailor each course to your specific needs, from understanding fundamental concepts to solving complex problems.

Total Flexibility: Choose the schedule that suits you best. Whether you are an active student or a professional, we adapt to your schedule.

Constant Support: You will benefit from continuous monitoring between classes to answer all your questions and concerns.

Quality Teaching Materials: We provide high-quality learning resources to support your progress.

Who can benefit from our courses?

High school students preparing for their baccalaureate or entrance exams to engineering schools.

University students pursuing a degree in mathematics, physics or engineering.

Professionals looking to acquire or deepen technical skills.

Join us today!

Excellence doesn't wait. Contact us now to book your first lesson. Together we will build a bright future based on a solid understanding of mathematics, physics and engineering.

Samaa

4.88

(85)

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.

Mohamed

4.88

(85)

As an experienced math teacher, I offer private math lessons via webcam, math tutoring to catch up on gaps, as well as intensive math lessons before exams. I specialize in helping middle school/high school students with math homework and I offer distance math lessons tailored to the student's needs. My goal is to help you improve your math skills quickly and effectively prepare for the baccalaureate/brevet. I also listen to students experiencing academic difficulties and can offer you personalized support to overcome your difficulties.

Middle school or high school students from the French mission. The 2nd and 1st general Terminale specialty classes of the French system
The 5th, 4th and 3rd levels of the college
levels T and Common Core Sciences, Technological TC, 1st Baccalaureate Experimental Sciences and final year of all streams (SVT-PC-SC.Math)
My goal is to help students to:

Improve their level
Deepen their knowledge
Assimilate their courses
fill in their gaps
improve
I am also able to support them in preparing for their exams and competitive entrance exams to the grandes écoles, as well as provide them with homework help. I am convinced that I have the qualities required to enable my students to progress and perhaps even give them a taste for this subject!
I am considered one of the best online math tutors. I also offer math support for French mission students and math help for international students wishing to follow the French curriculum.
online math lessons, math tutoring, experienced math teacher. private math lessons. Online math tutoring"
"Private math tutor for [level] (e.g. middle school, high school, 3rd, final year)"
"Math lessons at home"
“Math help for struggling students”
"Math lessons to improve grades"
“Preparation for the brevet/baccalaureate in mathematics”
"Online math teacher for [level]"
"Cheap math tutoring"
"Personalized online math lessons"
“Find a certified math teacher”

Mohamed

4.88

(85)

Does your child understand mathematics, but their results don't reflect their effort?

He gets average grades despite his hard work?
He understands the lesson but loses points in the exercises?
Is he lacking in method, precision, or confidence?
Does he want to move to a higher level and achieve better results?

I can help him identify what is causing him to lose points and to implement a more effective work method.

I am a mathematics teacher with 15 years of teaching experience and hold a Master's degree in mathematics. I tutor middle and high school students, particularly in the French and Moroccan curricula.

🎯 UNDERSTANDING WHY GRADES ARE NOT IMPROVING

Two students with the same grade can have completely different difficulties.

One may lack basic knowledge.
The other person may understand the lesson but not know how to solve the exercises.
Another person may have the necessary knowledge but lose many points due to errors in calculation, reasoning, or writing.

That is why I begin by identifying the difficulties that are actually limiting the student's progress.

📈 HOW TO IMPROVE RESULTS?

We are working specifically on:

• a thorough understanding of the course;
• mastery of fundamental concepts;
• the solution method;
• the analysis of the statements;
• mathematical reasoning;
• calculation and logic errors;
• drafting the solutions;
• exercises of progressive difficulty;
• time management during checks;
• autonomy in the face of exercises.

The goal is not to do dozens of exercises without a method.

We seek to understand the errors, correct bad habits and gradually build effective automatic processes.

🧠 A METHOD TO BECOME MORE INDEPENDENT

During the sessions, I am not simply trying to provide the solution.

I guide the student so that they gradually learn to:

Understand → Analyze → Choose a method → Solve → Verify

This approach allows the student to better manage exercises when working alone.

The goal is for him to need less and less help over time.

📚 FOR STUDENTS WHO WANT TO IMPROVE

This support can be particularly useful for a student who:

• wants to improve his grades;
• wants to consolidate his knowledge;
• aims for better results in controls;
• wants to get ahead of the program;
• prepares for an important year;
• wants to gradually prepare for the Brevet or the Baccalaureate;
• understands the concepts but lacks effectiveness in exercises.

I adapt the exercises and the pace of work to the actual level of each student.

💻 INTERACTIVE ONLINE COURSES

The classes are held remotely using Google Meet and an interactive whiteboard.

The student actively participates throughout the session: he searches, answers questions, completes exercises and explains his reasoning.

I can also send screenshots of the work done during the session so that the student can review the important concepts after the lesson.

🏆 15 YEARS OF EXPERIENCE

With 15 years of experience in teaching mathematics, I have supported students with very different levels, objectives and difficulties.

For my final year students who were tutored in mathematics, I achieved a 100% success rate in the Baccalaureate, with 75% obtaining a distinction of "Bien" or "Très Bien".

My goal is to use this experience to provide personalized and practical support.

👨‍🎓 LEVELS

• College
• 5th
• 4th
• 3rd
• High school
• Second
• First
• Final year
• French and Moroccan programs

📩 DO YOU WANT YOUR CHILD TO PROGRESS?

In your message, simply tell me:

• its level;
• his current average in mathematics;
• the difficulties he encounters;
• its objective.

This will allow me to better understand his situation and determine the points to work on as a priority.

My goal is simple: to help the student better understand mathematics, correct their mistakes, improve their methods and make lasting progress.

Medo

4.88

(85)

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.

Ayoub

4.88

(85)

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

4.88

(85)

Beat the 15% TU Delft Acceptance Rate! Over the past 2 years, more than half of my students have successfully passed the selection process. To kick things off, I’m offering a 2-for-1 first class: we’ll build your personalized study strategy and complete your first full lesson in a 2 hour sessions for the price of 1!

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.

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 15 students for the entrance exam. The reviews left by the students show how satisfied they are with the classes!

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. Near the exam, I will provide you with more than 1000 exam-type questions for you to get toned-up right before the real test!

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

Kevin

4.88

(85)

► EXPERT STATISTICS, DATA ANALYTICS, MACHINE LEARNING & AI TUTOR FROM SWITZERLAND
► UNIVERSITY, FOUNDATION, IB, A-LEVEL & INTERNATIONAL SCHOOL SUPPORT

I completed my Master’s degree in Business Information Systems at a Swiss University of Applied Sciences, where my academic background strongly combined mathematics, statistics, data analysis, analytical thinking and problem-solving. This technical and data-oriented foundation shaped the way I teach today: clearly, logically and with a strong focus on real understanding.

For many years, I have successfully supported students in Statistics, Data Analytics, Machine Learning and AI. My main focus is especially on Statistics — from basic descriptive statistics to advanced statistical methods, hypothesis testing, regression, probability distributions and interpretation of results.

I mainly use R for statistical analysis, data handling, visualisation and practical exercises. My goal is not only to help students calculate results, but to make sure they understand what the results mean and how to explain them correctly.

► STATISTICS, DATA ANALYTICS & AI SUPPORT

► STATISTICS & PROBABILITY
I help students understand descriptive statistics, probability, random variables, distributions, sampling, confidence intervals, hypothesis testing, p-values, correlation, regression and statistical interpretation. My lessons focus on explaining the logic behind each method, not just applying formulas.

► APPLIED STATISTICS WITH R
I support students in using R for statistical analysis, data cleaning, visualisation, hypothesis testing, regression models and interpretation of outputs. Students learn how to connect theory, calculation, code and real meaning step by step.

► QUANTITATIVE METHODS & RESEARCH STATISTICS
I help students with statistical methods used in business, economics, psychology, social sciences, science and university research. This includes choosing the correct test, understanding assumptions, interpreting results and presenting findings clearly.

► DATA ANALYTICS & DATA SCIENCE
I support students with data preparation, exploratory data analysis, visualisation, dashboards, summary statistics and practical interpretation. The focus is always on understanding the data and drawing meaningful conclusions.

► MACHINE LEARNING & AI FOUNDATIONS
For students working with modern data topics, I also provide support in the foundations of Machine Learning and AI, including regression, classification, clustering, model evaluation and practical applications. These topics are explained from a statistical point of view, so students understand the logic behind the models.

► UNIVERSITY, FOUNDATION & INTERNATIONAL COURSES
I support students in Statistics, Data Analytics, Business Analytics, Quantitative Methods, Econometrics, Research Methods and technical modules. I help with exam preparation, assignments, projects and practical data analysis tasks.

► HOW I TEACH

► I FOCUS ON REAL STATISTICAL UNDERSTANDING.
Statistics becomes much easier when students understand why a method is used, what the result means and how to interpret it correctly.

► I EXPLAIN FORMULAS STEP BY STEP.
Difficult formulas, tests and models are broken down into simple, logical parts so students can follow the reasoning clearly.

► I CONNECT THEORY WITH R PRACTICE.
Students learn not only the statistical theory, but also how to apply it in R, read the output and explain the result in proper academic language.

► I HELP STUDENTS CHOOSE THE RIGHT METHOD.
Many students struggle with deciding whether to use a t-test, chi-square test, ANOVA, regression or another method. I teach students how to recognise the correct approach from the question or dataset.

► I TRAIN INTERPRETATION AND EXAM TECHNIQUE.
Students learn how to structure statistical answers, write clear conclusions, explain p-values, interpret confidence intervals and present results professionally.

► I ADAPT EVERY LESSON TO THE STUDENT.
Some students need help with theory, others with R coding, assignments, research projects or exam preparation. I adjust every lesson to the student’s exact course, level and goals.

► YEARS OF EXPERIENCE WITH STATISTICS, DATA & UNIVERSITY STUDENTS

Over the years, I have successfully supported students from demanding academic programmes, helping them strengthen their statistical understanding, improve their analytical thinking and achieve excellent progress in Statistics, Data Analytics, Machine Learning and AI.

► ONLINE LESSONS

► Interactive whiteboard
► Clear digital notes
► Step-by-step statistical explanations
► R support for data analysis
► Exam preparation
► Assignment and project guidance
► Practical examples with real datasets
► Focused one-to-one support from Switzerland

► MY GOAL

My goal is not only to help students pass exams or complete assignments, but to help them truly understand Statistics. With the right guidance, statistical methods become logical, practical and much easier to apply.

► SUBJECTS: Statistics, Probability, Data Analytics, Data Science, Machine Learning, AI, Quantitative Methods, Research Methods, Econometrics
► MAIN TOOL: R
► LEVELS: International School, IB, A-Level, Foundation Courses, University Modules, Professional Training
► FORMAT: Online tutoring from Switzerland
► FOCUS: Statistical understanding, R practice, interpretation, exam preparation, assignments, projects and long-term analytical confidence.

Aqsa

4.88

(85)

This lesson builds a solid foundation in numbers and variables by helping students understand how numbers are represented, how variables are used to express unknown values, and how they relate to real-world situations. Through clear explanations, guided examples, and practice activities, students develop algebraic thinking, logical reasoning, and confidence needed for advanced mathematics.

Bouchouata

4.88

(85)

I am a mathematics teacher with university teaching experience. Holding a Master's degree and a State Engineering diploma, I support pupils and students in their mathematics learning with a clear, progressive method adapted to their level.
I propose private lessons for:
Middle School
High school
University students (Bachelor's degree)
I can help you in the following areas:
Algebra
Analysis
Differential and integral calculus
Differential equations
Statistics
Probabilities
Exam preparation and resits
My goal is to help you understand essential concepts, improve your study methods, and gain confidence. Each session is tailored to the student's needs, with clear explanations, progressive exercises, and detailed feedback.
Courses can be taught in French or English, online or in person depending on availability.

4.88

(85)

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.

Yacine

4.88

(85)

As a student at Arts et Métiers in Metz (formerly CPGE PSI in Paris), I offer personalized support to help you overcome your difficulties or improve your skills. Having experience helping my peers, I can identify what's holding you back.
My method is based on listening, dialogue, and learning effective study methods (for science subjects or English immersion). Patient and persistent, my goal is to guide you step by step until that crucial "aha" moment that unlocks your full potential!

Abdelmalek

4.88

(85)

- Modbus Protocol Introduction
- Modbus Frame Structure & Byte Analysis
- Modbus Exception Handling & Error Codes

Each module in this series is structured with core learning content followed by two mandatory practical components:
Challenge: A hands-on troubleshooting or design scenario to test your practical skills.
Audit: A checklist and verification quiz to ensure full mastery before moving to the next section.

Jude

4.88

(85)

My lessons are designed to take you from simply following code to genuinely understanding how data science works.

We can cover the complete data science process, including data cleaning, exploratory data analysis, feature engineering, visualisation, statistics, machine learning, model evaluation and communicating results.

Depending on your goals, lessons can include:

Python, pandas, NumPy and scikit-learn
Data cleaning and exploratory analysis
Regression and classification
Decision trees, random forests and boosting
Clustering and dimensionality reduction
Cross-validation and model evaluation
Feature engineering and model interpretation
Neural networks and deep learning foundations
Bayesian modelling and PyMC
Portfolio and interview preparation
Support understanding university modules and projects

I use diagrams, analogies and practical demonstrations to make difficult ideas easier to understand. We will normally begin with an intuitive explanation, look at the underlying logic or mathematics, and then implement the concept in Python.

Lessons are personalised around your level. Complete beginners receive a structured learning path, while experienced students can focus on advanced topics, project guidance, debugging or interview preparation.

You will be encouraged to explain ideas back to me, interpret results and make your own modelling decisions. My goal is not only to help you produce working code, but to help you become an independent and confident data scientist.

Baia

4.88

(85)

I'm a working MEP engineer, currently building Python automation for Revit workflows daily - plan checks, model coordination, and repetitive drafting tasks. I teach other engineers, architects, and BIM professionals how to do the same, using pyRevit and real project workflows, not toy examples.

Topics include:
pyRevit fundamentals and setup
Automating repetitive Revit tasks (model checks, plan generation, data extraction)
Writing custom scripts for your firm's specific workflows
Applying Python automation to real MEP/BIM projects