Enseignement/ Teaching

For Mathematics courses at FPT University,  please follow the instructions to complete your tasks (click to the coresponding section):

•  Spring 2024 :   

MAE101 (Mathematics for Engineering)

1. References : 

• Syllabus of this course is available here. You need to read it carefully in order to understand some important informations.

• Main textbooks for this course are available here (Calculus) and here (Linear algebra). 

• Paul's Online Notes 

2. Lecture notes :  Tóm tắt lý thuyết:  

     Calculus:   Functions & Graphs    Limits & Continuity   Derivatives   Application of Derivatives   Integration & Applications

     Linear Algebra:   Systems of Linear Equations    Matrix Algebra    Matrix Transformations    Determinants    Diagonalization

                                      Vector Geometry      Subspaces 

      You can find some lecture notes on CMS)

3. Self-studying sections:  You need to learn/work by yourself the following sections, which will be included in assignments, progress tests and final exam:

• Fundamental functions: polynomial functions, power functions, rational functions, trigonometric functions

• Laws of limits

• Differentiation rules, derivatives of fundamental functions (of exponential functions, logarithmic functions, trigonometric functions,...)

• Antiderivatives

4. Excercices:   Sheet 1  (Hints)  Sheet  2   (Hints)    Sheet  3   Sheet 4  (Hints)  Sheet 5 (Hints) 

5.  Review:     Review for Test 1    Review for Test 2

6.  Assignments of previous semesters :

Assignment 1 (Spring 23) (Solution)

Assignment 1 (Fall 22)

              Assignment 2 (Fall 22) (Solutions of Assignment 2 )

Assignment 3 (Fall 22) (Solutions of Assignment 3)

      MAS291 (Statistics  and Probability )

1. Reference:

2. Lecture notes:     Chapter 0     Chapter I   Chapter II   Chapter  III   Chapter VI    

                                     Chapter  VII  Chapter  VIII    Chapter  IX    Chapter X   Chapter XI

3.  Exercises:   

• Review on Sets, Counting techniques   

• Properties of Probabilities, Addition Rule, Conditional Probability

• Multiplication Rule, Total Probability Rule, Bayes Theorem

• Discrete Random Variables

• Types of Discrete Probability Distributions

• Continuous random variables

• Normal distribution, Exponential distribution, Approximations using Normal distribution

• Sampling Distributions & Central Limit  Theorem

• Statistical Intervals for Single Sample

4. Tables:        Cummulative normal dist.      t-distribution table

       MAD101 (Discrete Mathematics )

1.   References:  Discrete Mathematics and Applications (Kenneth Rosen, 7th edition) (file available here)

2. Lecture notes : Chapter 1    Chapter 1, part II   

                                  Chapter 2, part I    Chapter 2, Part II

                                  Chapter 3    Chapter 3, Part II

                                  Chapter 4     Chapter 5     Chapter 6 (Graphs)  Chapter 6 (Part II)

                                  Chapter 7 (Trees)   Chapter 7 (Part II)    Chapter 7 (Part III)

 Review:  Review for Test 1    Review for Test2     Review for Test 3

3.  Exercises (theo chương) : Sheet 1   Sheet 2

Self  Assessments

         4.    Assignments :

         5.  Assignments of the previous semesters:

Assignment 1(Spring 23)  (Solutions)

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Université de Poitiers

• L'année 2021-2022 :  Vous trouverez ci-dessous quelques corrections des TDs concernés:

2-ème semestre:

1. Analyse Élementaire :  TD1   TD2  TD3  TD4 TD4 (suite) TD5 TD6

Correction du CC:  CC1

2. Calcul Matriciel : TD1  TD2 TD3  TD4 TD5  TD6 TD7

Correction CC2: Sujet 3  Sujet 4

3. Maths SVT:  TD1  TD2

 Exercices Complémentaires: énoncé  correction

 1-er semestre :

1. Mathématiques Générales  (L1 PCIT): TD1 TD2  TD3 TD4 TD5 TD6

Correction CC2

2. Mathématiques (L3 SPI) : Feuille 1  Feuille 2 Feuille 3 Feuille 4

Un bonus (?) sur les espaces vectoriels

Correction CC1 (11/10/2021)

3. Combinatoire (L2 MI): Feuille 1  Feuille 2 Feuille 3

• L'année 2020-2021:   

Algèbre et Géométrie:  L'enseignant :  Bernard Le Stum 

Corri gés:        Feuille 1  Feuille 2  Feuille 3   Feuille 4 : 1 et 2 (par David Bourqui)   Feuille 5   Feuille 6

                            Examen 18/11 : Barème

• L'année 2018-2019: 

1. Algèbre Linéaire

2. Outils Mathématiques 4 (L2)

• L'année 2017-2018:  

         I. Outils Mathématiques 4 ( L2 ):  L'enseignant: Professeur Karim Bekka. Vous trouverez dans son site le recueil d'exercices. Ici j'ai        tapé quelques solutions d'exercices sur 

1.  L'intégrale double 

2. L'intégrale triple

3. L'intégrale de surface

II. MAT2Bio ( L1 ) Cours de Probabilité pour les biologistes: les feuilles de TDs sont sur la pageweb de Mark Baker:

Indications: TD2 TD3 TD5 TD6 TD7