Walid zouhair Mathematics, Professor at the university
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I hold a Doctorate in Applied Mathematics, which I completed in 2021 after beginning my academic journey with a bachelor’s degree in 2013. My passion for mathematics has deepened through my years at the University of Science, culminating in my PhD. Currently, I am a professor at the Faculty of Science, where I continue to share my knowledge and enthusiasm for the field.
I began teaching online in 2018, during the first year of my thesis work. Since then, I have helped numerous students succeed in their exams and achieve excellent academic results. In addition to teaching, I am an expert in thesis writing and LaTeX presentation preparation.

Throughout my teaching career, I have covered a broad range of mathematical subjects, including: Analysis, Algebra, Linear Algebra, Statistics, Probability, Arithmetic, Differential Equations, Integrals, Geometry...

Furthermore, I specialize in LaTeX, providing guidance to students in effectively writing and formatting their theses.

I am serious and motivated to share my experience and knowledge. If you are interested, do not hesitate to contact me.

Subjects

Statistics Beginner-Expert
Mathematics Pre-KG, Nursery-Doctorate/PhD
Probability Beginner-Expert
Algebra 1, 2, 3 Beginner-Expert
Analysis (Real + Complex) Beginner-Expert

Experience

Professor (Sep, 2023–Present) at ' I am government employed and working full time as an Associate professor

I am currently working as a professor at the University of Applied Sciences, where I teach various mathematics subjects, including Linear Algebra, Analysis, and Probability.
Professor (Oct, 2022–Jul, 2023) at ENSA: National School of Applied Sciences_Safi

I worked as an associate professor at an engineering school, where I taught Algebra and Linear Algebra to preparatory class students.

Education

Doctorat (Oct, 2018–May, 2022) from Faculty of Sciences Semlalia, University Cadi Ayyad, Marrakesh, Morocco
Master degree (Oct, 2016–Jul, 2018) from Faculty of Sciences Semlalia, University Cadi Ayyad, Marrakesh, Morocco

Fee details

Dirhams150–300/hour (US$15.05–30.09/hour)

If a student wants regular weekly lessons, I can offer a discounted rate compared to students who only need one or two sessions. For students needing help with homework or LaTeX writing, I can provide a customized offer depending on the specific tasks they require.

Courses offered

Linear Algebra
- US$15
- Duration: 1 Year
- Delivery mode: Online
- Group size: Individual
- Instruction language: French, English
- Certificate provided: No
**Table of Contents**

1. Polynomials and Rational Fractions
1.1 Polynomials
1.1.1 Definitions
1.1.2 Structure of the Set of Polynomials
1.1.3 Euclidean Division by Decreasing Powers
1.1.4 Root of a Polynomial, Order of Multiplicity
1.1.5 Factorization of Polynomials with Real Coefficients
1.1.6 Euclidean Division by Increasing Powers
1.2 Rational Fractions
1.2.1 Generalities
1.2.2 Decomposition of a Rational Fraction into Simple Elements
1.2.3 Decomposition of a Rational Fraction into Second-Type Simple Elements
1.3 Exercises

2. Vector Spaces
2.1 Introduction to Groups
2.2 Vector Space
2.3 Subspace of a Vector Space
2.3.1 Definitions
2.3.2 Subspace Generated by a Subset of a Vector Space
2.3.3 Basis of a Vector Space
2.3.4 Direct Sum of Subspaces
2.4 Exercises

3. Linear Applications
3.1 Definitions and Vocabulary
3.2 Elementary Properties
3.3 Image and Kernel of a Linear Application
3.4 Finite Dimension Case: Rank Theorem
3.4.1 Rank Theorem and Its Applications
3.5 Exercises

4. Matrix Calculus
4.1 Matrix Operations
4.1.1 Definitions
4.1.2 (Mn,p(K), +,·) as a K-Vector Space
4.1.3 Properties of Matrix Multiplication
4.2 Exercises

5. Matrices and Linear Applications
5.1 Matrices and Linear Applications
5.1.1 Matrix of a Vector Family in a Basis
5.1.2 Matrix of a Linear Application in a Pair of Bases
5.1.3 Coordinates of the Image of a Vector by a Linear Application
5.2 Basis Changes
5.2.1 Transition Matrix from One Basis to Another
5.2.2 Effects of Basis Change(s)
5.2.3 Equivalent Matrices and Similar Matrices
5.2.4 Similar Matrices
5.3 Trace of a Matrix, of an Endomorphism
5.3.1 Trace of a Square Matrix
5.3.2 Trace of an Endomorphism
5.4 Kernel, Image, and Rank of a Matrix
5.4.1 Kernel, Image, and Rank of a Matrix
5.4.2 Rank Calculation Using Pivot Method
5.5 Exercises

6. Reduction of Endomorphisms
6.1 Diagonalization
6.1.1 Eigenvalue, Eigenvector
6.1.2 Characteristic Polynomial
6.1.3 Study of Eigen Spaces
6.1.4 Diagonalizable Endomorphisms
6.2 Triangularizable Endomorphisms
6.3 Polynomial of Endomorphisms, Minimal Polynomial
6.4 Minimal Polynomial
6.5 Cayley-Hamilton Theorem
6.6 Diagonalization Using the Minimal Polynomial
6.7 Simultaneous Diagonalization
6.8 Exercises