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Since February 2020
Instructor since February 2020
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Inferential Statistics: Estimation,
From 15.66 £ /h
This course is devoted to statistical methods for extracting information from data and making decisions in the presence of uncertainty.
Through the study of the main laws of probability and statistical inference techniques, participants will learn to estimate parameters, construct confidence intervals, test hypotheses and interpret results obtained from real samples.
Course program
Foundations of Probability
- Random variables
- Expected value and variance
- Discrete and continuous probability laws
- Binomial distribution
- Poisson distribution
- Exponential Law
- Normal distribution
Sampling and estimation
- Population and sample
- Sample statistics
- Estimators
- Bias and precision
- Maximum likelihood method
- Fisher's Information
- Cramér-Rao marker
Confidence intervals
- Confidence intervals for the mean
- Confidence intervals for a proportion
- Sample size
- Statistical interpretation of the results
Statistical tests
- Statistical assumptions
- Type I and Type II errors
- p-value
- Power of a test
- Tests on averages and proportions
Chi-square law and applications
- Chi-square distribution
- Suitability tests
- Independence tests
- Contingency tables
- Applications to data analysis
Analysis of real data
- Reading and preparing data
- Interpretation of statistical results
- Case studies and applied exercises
objectives
- Understand the main tools of inferential statistics.
- Master estimation and testing techniques.
- Construct and interpret confidence intervals.
- Analyze data rigorously.
- Develop sound statistical reasoning for decision support.
The course emphasizes understanding concepts, solved exercises, and the interpretation of results in order to link statistical theory to real-world problems.
Through the study of the main laws of probability and statistical inference techniques, participants will learn to estimate parameters, construct confidence intervals, test hypotheses and interpret results obtained from real samples.
Course program
Foundations of Probability
- Random variables
- Expected value and variance
- Discrete and continuous probability laws
- Binomial distribution
- Poisson distribution
- Exponential Law
- Normal distribution
Sampling and estimation
- Population and sample
- Sample statistics
- Estimators
- Bias and precision
- Maximum likelihood method
- Fisher's Information
- Cramér-Rao marker
Confidence intervals
- Confidence intervals for the mean
- Confidence intervals for a proportion
- Sample size
- Statistical interpretation of the results
Statistical tests
- Statistical assumptions
- Type I and Type II errors
- p-value
- Power of a test
- Tests on averages and proportions
Chi-square law and applications
- Chi-square distribution
- Suitability tests
- Independence tests
- Contingency tables
- Applications to data analysis
Analysis of real data
- Reading and preparing data
- Interpretation of statistical results
- Case studies and applied exercises
objectives
- Understand the main tools of inferential statistics.
- Master estimation and testing techniques.
- Construct and interpret confidence intervals.
- Analyze data rigorously.
- Develop sound statistical reasoning for decision support.
The course emphasizes understanding concepts, solved exercises, and the interpretation of results in order to link statistical theory to real-world problems.
Extra information
A blue pen and a notebook.
Location
At student's location :
- Around Casablanca, Morocco
- Around Zawyat an Nwaçer, Morocco
- Around Zawyat an Nwaçer, Morocco
- Around Casablanca, Morocco
- Around Casablanca, Morocco
At teacher's location :
- محطة المعارييف, Maarif, Casablanca, Maroc
Online from Morocco
About Me
"Experienced Mathematics Teacher – Expertise in Teaching and Preparation for Exams and Competitions"
Description:
I am a passionate and experienced mathematics teacher, with a strong academic background and more than 3 years of experience teaching in high school. My mission is to make mathematics accessible to all, to strengthen students' foundations and guide them towards excellence, whether to improve their academic results or to prepare for demanding exams and competitions.
My academic and professional background:
Academic qualifications:
Master of Applied Sciences with a specialization in stochastic calculus applied to finance, obtained from FSAC (Faculty of Sciences Ain Chock).
Bachelor's degree in applied mathematics from the same institution.
Bachelor of Electrical Science and Technology, a course combining scientific rigor and technicality.
Further education :
Two years in preparatory classes for the leading scientific schools, where I acquired rigorous working methods.
Former student of the Rabat School of Mines, a prestigious school in Morocco.
Educational experience:
More than 5 years as a high school mathematics teacher, where I supported students of all levels.
Specialization in preparation for national exams and competitions such as the CNC, with proven results.
What I propose:
Personalized courses for all levels:
College: Strengthening the fundamental bases.
High school: Preparation for the baccalaureate and mastery of complex concepts (analysis, algebra, probability).
Preparatory classes and university: Deepening of advanced concepts, such as differential equations, probabilities, and stochastic analysis.
Preparation for competitions and exams:
Effective techniques for solving complex exercises.
Methodology and time management to succeed in high-stakes tests.
Unique educational approach:
Initial diagnosis: identify weak points and design an appropriate plan.
Interactive methods: making concepts clear through concrete examples and a progressive approach.
Continuous supervision: regular monitoring of progress and adjustment of the learning strategy.
Why choose me?
✔️ In-depth expertise in applied and theoretical mathematics.
✔️ An ability to explain complex concepts in a simple and accessible way.
✔️ A motivating teaching method, focused on student progress and confidence.
✔️ Tailor-made support for each student, with clear and measurable objectives.
Useful information :
📅 Availability: Flexible, weekday and weekend classes.
📍 Location: Online or at home at your convenience.
👉 Contact me today to discuss your needs and establish a program adapted to your ambitions. With my support, your success is in good hands!
Description:
I am a passionate and experienced mathematics teacher, with a strong academic background and more than 3 years of experience teaching in high school. My mission is to make mathematics accessible to all, to strengthen students' foundations and guide them towards excellence, whether to improve their academic results or to prepare for demanding exams and competitions.
My academic and professional background:
Academic qualifications:
Master of Applied Sciences with a specialization in stochastic calculus applied to finance, obtained from FSAC (Faculty of Sciences Ain Chock).
Bachelor's degree in applied mathematics from the same institution.
Bachelor of Electrical Science and Technology, a course combining scientific rigor and technicality.
Further education :
Two years in preparatory classes for the leading scientific schools, where I acquired rigorous working methods.
Former student of the Rabat School of Mines, a prestigious school in Morocco.
Educational experience:
More than 5 years as a high school mathematics teacher, where I supported students of all levels.
Specialization in preparation for national exams and competitions such as the CNC, with proven results.
What I propose:
Personalized courses for all levels:
College: Strengthening the fundamental bases.
High school: Preparation for the baccalaureate and mastery of complex concepts (analysis, algebra, probability).
Preparatory classes and university: Deepening of advanced concepts, such as differential equations, probabilities, and stochastic analysis.
Preparation for competitions and exams:
Effective techniques for solving complex exercises.
Methodology and time management to succeed in high-stakes tests.
Unique educational approach:
Initial diagnosis: identify weak points and design an appropriate plan.
Interactive methods: making concepts clear through concrete examples and a progressive approach.
Continuous supervision: regular monitoring of progress and adjustment of the learning strategy.
Why choose me?
✔️ In-depth expertise in applied and theoretical mathematics.
✔️ An ability to explain complex concepts in a simple and accessible way.
✔️ A motivating teaching method, focused on student progress and confidence.
✔️ Tailor-made support for each student, with clear and measurable objectives.
Useful information :
📅 Availability: Flexible, weekday and weekend classes.
📍 Location: Online or at home at your convenience.
👉 Contact me today to discuss your needs and establish a program adapted to your ambitions. With my support, your success is in good hands!
Education
Laureate of preparatory classes for grandes écoles in 2016
Bachelor in Mathematics and Applications at FSAC
Winner of the regional center for education and teaching professions El Jadida
Master in Applied Statistics at Faculty of Sciences Ain Chock
Bachelor in Mathematics and Applications at FSAC
Winner of the regional center for education and teaching professions El Jadida
Master in Applied Statistics at Faculty of Sciences Ain Chock
Experience / Qualifications
Mathematics teacher at Al-Farabi Bouskoura high school
Mathematical teaching training Regional center for teaching professions.
5 years of teaching in the final year.
Mathematical teaching training Regional center for teaching professions.
5 years of teaching in the final year.
Age
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
The class is taught in
French
English
Arabic
Availability of a typical week
(GMT -04:00)
New York
At teacher's location and via webcam
At student's home
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
Do you want to fill in your gaps, reinforce your knowledge, prepare for the next school year or develop a level of excellence in mathematics?
I am a mathematics teacher in a Moroccan public high school, holding a Master's degree in Applied Mathematics, Statistics and Numerical Methods, with more than 10 years of experience in private tutoring and several years of teaching in the public sector.
This Summer School is aimed at middle school, high school, and university students wishing to build a solid foundation and develop their reasoning and problem-solving skills.
Program objectives
- Consolidate fundamental knowledge.
- To fill in the gaps accumulated during the school year.
- Prepare effectively for the start of the new school year.
- To develop rigor and autonomy.
- Preparing for exams, competitions and olympiads.
- Acquire effective working methods.
Analysis and Foundations
- Numerical sets: N, Z, Q, R
- Real numbers and fundamental properties
- Intervals and representation on the real line
- Absolute value and distance
- Functions and graphical representations
- Study of functions
- Numerical sequences
- Limits and continuity
- Derivation and applications
- Integration and calculation of areas
- Advanced exercises
Algebra and Arithmetic
- Algebraic calculation
- Equations and inequalities
- Systems of equations
- Polynomials
- Divisibility and prime numbers
- GCD and LCM
- Euclid's Algorithm
- Bézout's theorem
- Gauss's theorem
- Congruences and modular calculus
- Groups
- Rings
- Body
- Commutativity and fundamental algebraic properties
- Mathematical reasoning and proofs
Geometry
- Triangles and fundamental theorems
- Notable straight lines
- Circles and geometric configurations
- Analytical geometry
- Vectors
- Geometry in space
- Geometric transformations
- Geometric demonstrations and reasoning
Olympiads and Mathematics of Excellence
- Problem-solving techniques
- Mathematical logic
- Demonstration methods
- Advanced thinking exercises
- Preparation for the Olympiads and competitions
Teaching method
✔ Student level assessment
✔ Personalized program based on objectives
✔ Simple and progressive explanations
✔ Step-by-step corrected exercises
✔ Regular progress monitoring
✔ Development of confidence and autonomy
For the parents
This Summer School allows your child to strengthen their foundations, improve their academic results, regain confidence and approach the next year with serenity and motivation.
For the students
Mathematics becomes clearer, more accessible and more interesting through a method based on understanding, practice and reasoning.
Places are limited to ensure personalized support and quality follow-up for each participant.
I am a mathematics teacher in a Moroccan public high school, holding a Master's degree in Applied Mathematics, Statistics and Numerical Methods, with more than 10 years of experience in private tutoring and several years of teaching in the public sector.
This Summer School is aimed at middle school, high school, and university students wishing to build a solid foundation and develop their reasoning and problem-solving skills.
Program objectives
- Consolidate fundamental knowledge.
- To fill in the gaps accumulated during the school year.
- Prepare effectively for the start of the new school year.
- To develop rigor and autonomy.
- Preparing for exams, competitions and olympiads.
- Acquire effective working methods.
Analysis and Foundations
- Numerical sets: N, Z, Q, R
- Real numbers and fundamental properties
- Intervals and representation on the real line
- Absolute value and distance
- Functions and graphical representations
- Study of functions
- Numerical sequences
- Limits and continuity
- Derivation and applications
- Integration and calculation of areas
- Advanced exercises
Algebra and Arithmetic
- Algebraic calculation
- Equations and inequalities
- Systems of equations
- Polynomials
- Divisibility and prime numbers
- GCD and LCM
- Euclid's Algorithm
- Bézout's theorem
- Gauss's theorem
- Congruences and modular calculus
- Groups
- Rings
- Body
- Commutativity and fundamental algebraic properties
- Mathematical reasoning and proofs
Geometry
- Triangles and fundamental theorems
- Notable straight lines
- Circles and geometric configurations
- Analytical geometry
- Vectors
- Geometry in space
- Geometric transformations
- Geometric demonstrations and reasoning
Olympiads and Mathematics of Excellence
- Problem-solving techniques
- Mathematical logic
- Demonstration methods
- Advanced thinking exercises
- Preparation for the Olympiads and competitions
Teaching method
✔ Student level assessment
✔ Personalized program based on objectives
✔ Simple and progressive explanations
✔ Step-by-step corrected exercises
✔ Regular progress monitoring
✔ Development of confidence and autonomy
For the parents
This Summer School allows your child to strengthen their foundations, improve their academic results, regain confidence and approach the next year with serenity and motivation.
For the students
Mathematics becomes clearer, more accessible and more interesting through a method based on understanding, practice and reasoning.
Places are limited to ensure personalized support and quality follow-up for each participant.
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