📈 Calculus Explained by an Applied Mathematician (10+ Years of Teaching Experience)

From 57 £ /h

🛑 Stop looking for homework answers online. Learn from a Mathematician with 10+ years of teaching experience! I will teach you how to read, understand, and solve Calculus problems effectively. We will master the fundamentals and learn how they may be applied. We will review variations of questions that may be asked of you, and we will also evaluate the importance and implications of the solutions.

💡 See how Calculus is done from a Mathematician. I have been there, done that. Made mistakes. Went about learning Calculus the long, hard, windy way. For the last decade, I have determined where students tend to get snagged and developed explanations that are appropriate to the level of the learner. I am interested in seeing you stand on your own, and I want you to develop your confidence in solving problems in Calculus and beyond.

Extra information

Please have ready your current course materials, if applicable.

Location

Online from United Kingdom

About Me

I offer tutoring in Mathematics, English, Biology, Physics, and SAT/ACT/AP Exam Preparation. I am native to the United States and teach in English.

For more than a decade, I have given private lessons to students of all ages and various educational goals. My explanatory methods and supplementary materials are tailored to the individual and aim to make learning efficient and thorough.

With respect to SAT/ACT/AP Preparation, I teach subjects for which I have attained top marks (99th percentile / AP score 5) and have followed the current curricula:

✏️ SAT
✏️ ACT
📉 AP Calculus AB
📉 AP Calculus BC
🎲 AP Statistics
🧪 AP Biology
🌱 AP Environmental Science
🧠 AP Psychology

In addition to the above subject and exam prep lessons, I teach subtopics in Mathematics and Biology within my specialty. Please inquire!

Education

🇺🇸 Applied Mathematics (BSc) @ University of California San Diego
🇪🇸 Mathematical Engineering (MSc) @ Universitat Politècnica de Catalunya
🇸🇪 Tactile Neurophysiology (PhD) @ University of Gothenburg

Experience / Qualifications

Since 2013 📐 Mathematics Tutoring (All Levels)
Since 2016 📰 English Tutoring (All Levels)
Since 2021 🧲 Physics Tutoring (Pre-University)
Since 2024 🦠 Biology Tutoring (Pre-University)

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

Calculus

Trigonometry

Statistics

Reviews

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

💯 SAT / ACT with Top American University Graduate

77 £ /h

📕 I have consulted students internationally on how to systematically improve their SAT and ACT scores. Overnight success is a myth, and entrance to a top university does not come as a miracle, but through hard work, determination, and knowing the nuances of the admissions process.

📗 SAT and ACT preparation often begins several years before submitting university applications. It is never too early to start gathering resources and learning tips and tricks for maximizing your chances at admission to the university of your dreams.

📘 As your counselor, I am well-equipped to advise you on test preparation at any point during your journey towards university. You may also request consultation on university applications, including personal essay tips and a timeline tailored to your academic and extracurricular activities and goals. Together, we can determine which path is best for you.

🧮 Learn from an Applied Mathematician (10+ Years of Teaching Experience)

57 £ /h

➕ A strong foundation in Mathematics is essential for developing a critical mind. The value of Mathematics lies not only in its elegance for scientific research and technological developments, but Mathematics also demands a spotlight in unsophisticated, mundane life chores such as splitting the dinner bill, lending to a friend, or checking and double-checking that the government hasn't overtaxed you.

➖ My main academic training is in Mathematics; I received my Bachelors in Applied Mathematics from the University of California San Diego in 2016, and my Masters in Mathematical Engineering from Universitat Politècnica de Catalunya in 2017. Since completing my coursework, I have worked in university research and I am now pursuing a PhD in Tactile Neurophysiology at the University of Gothenburg.

✖️ I have 10+ years of experience in Mathematics tutoring ranging from primary school to university level subjects. I am comfortable with developing a curriculum tailored to your needs or following one that you or your course proposes. In the past, I have assisted students of all levels in: Calculus, SAT Prep, Algebra, Arithmetic, Statistics, MATLAB, and Trigonometry. These topics are not exclusive to my repertoire.

➗ I hold firmly that a student must bring motivation and that a teacher foster this with direction, challenges, and encouragement. The process of learning is a two-way street. Ultimately, your goal is to be an independent learner, and I will help you to become one.

Robert

4.74

(27)

A highly experienced Franco-Belgian teacher (ook in het nederlands!) offers private lessons in mathematics (including finance), probability and statistics, as well as physics, chemistry, and biology for secondary and higher education levels. For physics, chemistry, and biology, the instruction is tailored to the secondary level, specifically up to the 5th year of secondary education in Belgium.

Whether you prefer lessons at your place, my place, or remotely, I am flexible to accommodate your needs. If necessary, I can travel to your home in Brussels, Walloon and Flemish Brabant, with a minimum duration of 2 hours per session. The lessons are designed to provide extensive practice with numerous exercises. Distance learning options are also available through platforms such as Skype, Facebook, etc. Please note that for students in France, only distance learning courses are provided.

In mathematics, I specialize in various topics and frequently provide lessons covering the entire secondary school curriculum, including math 6 and higher. These topics encompass factorization, equations of the 1st and 2nd degree (with in-depth study of parabolas), limits, derivatives, integrals, exponentials and logarithms, as well as trigonometry. Additionally, I am occasionally called upon to teach analytical geometry in space, including equations of lines and planes.

For statistics and probabilities, I provide instruction in descriptive and inferential statistics (univariate and bivariate), covering confidence intervals and hypothesis tests, applicable to secondary and higher education levels.

Feel free to reach out to me to discuss and arrange the lessons based on your specific needs and availability. My aim is to help you enhance your skills effectively and provide personalized instruction. By tailoring the lessons to your requirements, we can ensure rapid progress in your studies.

Madara

4.74

(27)

I am a Doctor of Psychology and researcher with extensive experience in teaching and mentoring. Since October 2016, I have successfully tutored undergraduate, postgraduate, and Ph.D. students, as well as professionals, in areas including Psychology (AS, A-level (AQA or other exam boards), and degree level), Statistics, Data Analysis, SPSS, Jamovi, JASP, R/RStudio, Research Methods, and in support of research projects, theses, and dissertations.

I specialise in Clinical Psychology, particularly reading disabilities and dyslexia, though I also have strong knowledge across other areas of psychology, research methodology, and data analysis, with expertise in SPSS.

I offer individual, live, one-to-one online sessions via Zoom, tailored to your learning goals. I can also recommend relevant literature and provide resources from my own curated database to support your studies and research.

Bibek

4.74

(27)

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).

Pia

4.74

(27)

You are a university student and have trouble with your math courses? Don't fret, I'm here to help! It doesn't matter whether you are a math student or from a different major, whether you are from an applied background or struggle with pure maths - the lessons will only cover what you need. Mathematics has a lot to do with practice and getting familiar with the way of thinking logically. With my help and guidance, I am sure you will become confident in solving problems and understanding mathematical concepts.

The lessons will be tailored to your needs and their structure depends highly on you: usually it is a mixture of repeating the content, solving exercises together, summarising important concepts and talking about exercises you tried yourself at home. The topics, content, pace and methods of learning will be adjusted to your needs, ensuring that you get the most out of my lessons. Besides the lessons, you will get "homework" to work on to strengthen your skills and independent working.

Topics include, but are not limited to:
-Trigonometry
-Geometry
-Linear Algebra
-Calculus (limits, derivation, Integration, etc.)
-Set Theory and Metrics
-Analysis (functions, Taylor series, etc.)
-Algebra (Group/Ring/Field theory, Galois theory, etc.)
-Number Theory (sequence and series)
-Probability (statistics, stochastic processes, etc.)
-Logic and Proofs
-Numerical Analysis
-(Algebraic) Topology (Homology theory, etc.)

If you have another topic in mind that you really need help with, just send me a message!

Whether you need someone that explains the concepts to you or just someone to practice exercises with - I am sure I can help you. You have an exam soon and want to review the main topics? No problem! You have a very specific problem, question or topic that you need help with? I'm here to answer any questions!

The most important part of my lessons is, however, to ensure a safe and comfortable environment - I have no issue with explaining the same concept over and over again until I am convinced that you have understood it. It is important to me that you feel comfortable in asking any questions - I want to show you, that Math is more than a subject and that it can be fun!

Mohamed

4.74

(27)

Is your child in their final year of high school and understands the lessons, but struggles to solve the exercises on their own?

He knows the formulas, but doesn't know how to use them in an exercise?
Does he get stuck on problems or multi-step exercises?
His grades remain low despite his efforts?
Is he lacking in method, speed, or confidence?
Or perhaps the Baccalaureate exam is approaching and he doesn't know how to organize his revision effectively?

I can help him transform these difficulties into methods and skills.

I am a mathematics teacher with 15 years of teaching experience and hold a Master's degree in mathematics. I primarily support high school students, especially in their penultimate and final years, following both the Moroccan and French curricula.

🎯 My goal: to understand why the student is stuck

In mathematics, a bad grade does not always mean that the lesson is not understood.

The student may have:

• gaps stemming from previous years;
• difficulties in understanding certain concepts;
• methodological problems;
• difficulties in analyzing a statement;
• difficulty choosing the right problem-solving strategy;
• errors in calculation or reasoning;
• difficulties in writing a solution correctly;
• a lack of training or confidence.

My role is to identify these difficulties and to work progressively on the points that are really preventing the student from progressing.

📚 Preparation and support in the final year of high school

Specifically, we can work on:

• the functions;
• limits and continuity;
• Derivation and variations;
• exponential and logarithmic functions;
• the sequels;
• antiderivatives and integrals;
• probabilities and random variables;
• geometry;
• differential equations according to the program;
• synthesis exercises and problems;
• Methodology and writing.

The content is of course adapted to the program followed by the student.

📝 Baccalaureate Preparation

For a student preparing for the Baccalaureate, we can implement a structured approach based on:

Understand → Practice → Correct mistakes → Try again → Gain independence

We work with progressive exercises, exam topics and problems adapted to the student's actual level.

The goal is not to mechanically memorize methods, but to be able to recognize a situation, choose a strategy and correctly construct a solution.

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".

💻 Interactive online courses

The sessions take place remotely using Google Meet and an interactive whiteboard.

The student actively participates during the session: he searches, reasons, writes and corrects his mistakes with my guidance.

After the session, I can also provide screenshots of the work done so that the student can review the important points.

👨‍🎓 This support is particularly suited to students who:

• want to improve their results;
• have accumulated deficiencies;
• understand the lesson but get stuck on the exercises;
• need a more efficient working method;
• are preparing for a test or exam;
• wish to prepare seriously for the Baccalaureate;
• want to gain autonomy and confidence.

Each student has different difficulties. Therefore, I begin by identifying their needs before designing the work to be done.

📩 Are you preparing for a test or the Baccalaureate?

In your message, simply tell me:

• the student's level;
• the program followed;
• the chapters that pose a problem;
• the desired objective.

This will allow me to quickly understand the situation and propose a suitable approach.

My goal: to help the student understand mathematics, master problem-solving methods, and approach exams with greater confidence.

Roland

4.74

(27)

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 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.

Medo

4.74

(27)

With over 12 years of experience teaching mathematics

in high school, I offer math support lessons.

Class description: As a highly qualified mathematics teacher, graduated from the teachers' college and with 11 years of teaching in public high schools, I offer tutoring courses in mathematics at home.

My courses are aimed at students in the 2nd and 1st general classes, Terminale specialty of the French system, as well as for the 5th, 4th and 3rd levels of the college. T and Common Core Sciences, Technological TC, 1st Bac Experimental Sciences, final year of all sectors (SVT-PC-SC.Math-L),

My primary objective is to help students improve their level, deepen their knowledge, fill their gaps and improve in the discipline of mathematics. I also offer support in the preparation of exams and competitions for access to major schools, as well as homework help for overall success in the subject.

With my advanced math skills, I am committed to providing effective tools and techniques to help my students progress. My interactive, student-centered teaching approach allows for a deeper understanding of mathematical concepts and practical application of acquired knowledge.

By choosing my mathematics tutoring courses, students can expect individual attention and personalized help to overcome their difficulties and achieve their goals. I am confident in my skills to help students of all levels progress and succeed in this demanding subject.

My dynamic and stimulating teaching methods aim to help students acquire self-confidence that will follow them throughout their lives.

Kevin

4.74

(27)

► 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.

Brent

4.74

(27)

Are you drowning in countless formulas? Is your head starting to explode with equations and graphs? Don't panic! Math doesn't have to be a stumbling block. With the right explanation and a calm approach, it often becomes much clearer. Together, we'll tackle it step by step, at your pace.

For whom?
- Students from primary and secondary education
- Children and young people preparing for exams or tests
- Anyone who wants to give mathematics a second chance, including adults

What can you expect?
- I explain the often complicated mathematical language in clear, human language
- Focus on insight, not just learning tricks and formulas by heart
- Exercises that we tackle together
- Space for questions, repetition and building self-confidence
I can also prepare exercises and even complete practice exams myself.

About me
I'm currently pursuing my Master's degree in Data Science/Analytics at the University of Antwerp. In high school, I had seven hours of math a week and always passed my exams with high marks. I've been happily tutoring students of various levels for several years now. I'm analytical, but also calm, patient, and good at sensing exactly where things are going wrong.

Practical:
- 1-on-1 lessons, online, at my place or at yours (if you don't live too far away)
- We will go through your material together or I will provide my own material
- Your own pace and approach, completely tailored to you

I have already successfully guided students with:
- Mathematics in secondary education: from the 1st to the 6th year, for various fields of study and schools, including Latin at Sint-Michielscollege Brasschaat, Economics-Mathematics at KA Schoten, and Humanities at Annuntia.
- Arithmetic in primary education: pupils in the 4th, 5th, and 6th grades, including mental arithmetic, written calculation, and other arithmetic skills.
- Mathematics in the Electromechanics program at AP University of Applied Sciences.

Feel free to send me a message with your questions or concerns, and we'll discuss how I can best support you.

Reza

4.74

(27)

I hold a PhD in Mechanical Engineering and currently work as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).
Key topics that I teach for this course include:
• Calculus: Differentiation & integration, Multivariable calculus
• Linear Algebra: Matrices, vectors, systems of equations, Eigenvalues and eigenvectors
• Differential Equations: First- and second-order ODEs, Laplace transforms
• Complex Numbers: Polar form, Euler’s formula
• Vector Calculus: Gradient, divergence, curl, Line and surface integrals
• Series & Transforms: Taylor series, Fourier series

I understand that not all teachers excel in teaching Engineering and Mathematics courses and explaining their importance to students. Courses with strong mathematical backgrounds may become boring for students who lack a solid mathematical basis. To address this, I take a student-centered approach, starting from the basics to actively engage all students, including those with weaker mathematical backgrounds. I also provide practical examples to demonstrate the real-world significance of what they are learning, inspiring and fostering their interest in the subject matter.

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Faten

4.74

(27)

This fun and interactive math class is designed to help kids build strong math skills and confidence while enjoying the learning process! Through games, real-life examples, and easy-to-follow explanations, students will explore essential math topics such as addition, subtraction, multiplication, division, fractions, and problem-solving.

Each lesson is adapted to the child’s level and learning pace, encouraging curiosity, critical thinking, and a love for numbers. My goal is to make math simple, engaging, and rewarding for every student.

Whether your child needs extra help with schoolwork or wants to get ahead, this class provides the perfect balance of learning and fun!

Ali

4.74

(27)

I offer one-to-one Maths tuition for GCSE, A-Level, and university students, both online and in person around Birmingham. Whether your child is struggling with the basics, preparing for upcoming exams, or aiming for top grades, I tailor every lesson to where they actually are — not where a textbook assumes they should be.

What I cover:

GCSE Maths (all exam boards — AQA, Edexcel, OCR)
A-Level Maths and Further Maths
University-level Maths for engineering and science students
Specific topics: algebra, trigonometry, calculus, statistics, mechanics, logic

How I teach:
I break difficult concepts down into simple steps, use plenty of worked examples, and give students clear practice between sessions. I'm patient with mistakes, encouraging when things feel hard, and honest about what needs work. Lessons are structured but relaxed students should feel comfortable asking "silly" questions, because those are usually the most important ones.
Exam season is right now, so if your child has GCSEs or A-Levels coming up, the next few weeks are the most important time to get focused support. I have limited slots available and can usually start within a few days.

Baia

4.74

(27)

Many students lose confidence in math over the school year - not from lack of ability, but from pace, gaps, or one bad unit that never got resolved. This summer program (through mid-September) is built to fix that before the new year starts, not just review generally.
I work with middle and high school students, including IB, to close specific gaps not a broad refresher, but targeted work on exactly what's holding a student back. I bring the same structured, evidence-based approach I use with my university-admission students: identify precisely what's missing, build a plan around it, and track real progress, not just hours logged.
Best for students who want a calm, focused reset before the new academic year begins not for open-ended tutoring with no target

Fisnik

4.74

(27)

Do you have a statistics or probability exam in BA1/BA2? I can help you review the material in a clear, structured and exam-oriented way.

I support higher education students (university and college), particularly in their first and second years of undergraduate studies, to understand important concepts, redo practical exercises, and practice with exam-style questions.

My goal is simple: to help you understand the logic behind formulas, know when to use them, recognize correct reasoning in a statement, and gain autonomy when facing exercises.

Subjects covered according to your program:

• Descriptive statistics:
mean, median, variance, standard deviation, quartiles, quantiles, coefficient of variation, box plots, histograms, graphs, interpretation of tables and data.

• Univariate and bivariate statistics:
analysis of one variable, analysis of two variables, scatter plots, covariance, correlation, regression line, coefficient of determination, interpretation of relationships between variables.

• Probabilities:
events, union, intersection, complement, conditional probabilities, independence, Bayes' theorem, probability trees, contingency tables.

• Combinatorial probabilities:
permutations, arrangements, combinations, draws with or without replacement, counting, classic exam situations.

• Random variables:
discrete and continuous variables, probability function, density function, distribution function, expectation, variance, standard deviation, variable transformation.

• Probability laws:
Bernoulli distribution, binomial distribution, normal distribution, standard normal distribution, Student's t-distribution, chi-square distribution, use of statistical tables according to your course.

• Statistical inference:
sampling, estimators, point estimation, confidence intervals, margin of error, degrees of freedom, confidence level.

• Hypothesis testing:
null hypothesis H0, alternative hypothesis H1, significance threshold, p-value, one-tailed or two-tailed test, test on a mean, test on a proportion, chi-square test, interpretation of results.

• Exam preparation:
reading statements, choosing the right method, identifying the formulas to use, typical exercises, past exams, guided corrections and problem-solving methods.

Method of working :

1. We quickly identify the chapters that are causing problems;
2. I re-explain the theory with simple examples;
3. We redo the important exercises together;
4. I will show you how to recognize good reasoning in the exam;
5. We construct a clear method that can be reused independently.

I don't just provide a correction: I explain the reasoning step by step so that you are able to redo the exercises without help.

For students retaking the exam, I also offer more intensive support: level assessment, priority identification, review of fundamentals, and practice with typical exercises and past exams. The goal is to get straight to the point and work efficiently within the time available before the exam.

I have been giving private lessons for over 7 years in mathematics, statistics, economics, and accounting. I have also tutored first and second-year Bachelor's students at Solvay/ULB in mathematics, statistics, and microeconomics as part of a university tutoring program.

My professional experience in finance and business controlling at Deloitte has also allowed me to develop a very structured approach to numbers, analysis and problem-solving.

Courses available in French or English, online or in person in Brussels or the surrounding area.

Ammar

4.74

(27)

Mathematics, statistics, and data analysis become much easier when formulas, reasoning, computation, and real-world interpretation are connected clearly.

I am a PhD-qualified engineer, university professor, researcher, and multidisciplinary tutor with more than 30 years of experience in teaching, quantitative methods, mathematical problem solving, statistical analysis, research, engineering, data analysis, and professional decision support.

This class provides a structured and personalized learning pathway for school and university students, graduate researchers, engineers, professionals, and adult learners. Depending on your goals, we can focus on one specific area or connect several areas into a coherent program.

MATHEMATICS
• Arithmetic, fractions, ratios, percentages, and mathematical foundations
• Algebraic expressions, equations, inequalities, and systems
• Functions, graphs, and transformations
• Geometry and analytic geometry
• Trigonometry
• Precalculus
• Limits and continuity
• Differential calculus and applications
• Integral calculus and applications
• Sequences and series
• Multivariable calculus
• Linear algebra, matrices, vectors, and systems
• Differential equations
• Numerical methods
• Applied and engineering mathematics

STATISTICS, PROBABILITY & ECONOMETRICS
• Descriptive statistics
• Probability rules and probabilistic reasoning
• Conditional probability, independence, Bayes’ theorem, and counting methods
• Expected value, variance, covariance, and properties of common probability distributions
• Random variables and probability distributions
• Sampling and sampling distributions
• Confidence intervals
• Hypothesis testing
• Correlation and regression
• Multiple regression
• ANOVA, ANCOVA, and MANOVA
• Nonparametric methods
• Multivariate statistical analysis
• Econometrics and quantitative methods
• Time-series analysis and forecasting
• Mediation and moderation analysis
• Statistical modelling and predictive analysis
• Econometrics
• Multiple regression
• Time series
• Forecasting
• Mediation/moderation
• Predictive analysis

DATA ANALYSIS & VISUALIZATION
• Data organization and quality assessment
• Data cleaning and preparation
• Data transformation, filtering, grouping, merging, and reshaping
• Relationships between variables and graphical/statistical diagnostics
• Missing values, duplicates, inconsistencies, and outliers
• Exploratory data analysis
• Summary tables and analytical reporting
• PivotTables and aggregation
• Data visualization and appropriate chart selection
• Trend and pattern analysis
• KPI development and performance analysis
• Dashboard concepts and decision-support reporting
• Research and survey data preparation
• Interpretation and communication of analytical findings

Depending on your needs, practical work may involve Excel, SPSS, Stata, R, SAS, Power BI, SQL, Python, or other relevant analytical tools. Software is never treated as a substitute for understanding: I explain the reasoning behind the method, the assumptions involved, the meaning of the output, and how to verify whether the conclusion is sound.

My teaching approach follows a clear progression:
understand the problem → identify the appropriate concept or method → develop the reasoning → calculate or analyze → verify the result → interpret it → communicate the conclusion

We can work with your course syllabus, textbook, representative exercises, exam topics, dataset, statistical output, research question, spreadsheet, dashboard, engineering application, or professional analytical problem.

Whether you are rebuilding mathematical foundations, preparing for an examination, studying advanced calculus, learning statistics, conducting econometric analysis, interpreting research data, or developing practical analytical skills, I will adapt the sessions to your level, objectives, and pace.

My goal is not merely to help you obtain an answer, but to help you understand the reasoning, choose appropriate methods, verify results, interpret findings correctly, and solve new problems independently.