Analysis 3
Abdelhafid Boussouf University of Mila
Faculty of Mathematics an Computer Science
Field: Mathematics and Computer Science
Second Year Mathematics/Applied Mathematics
Analysis 3
Teaching unit: fundamental: UEF 3.1.1
Academic Year: 2025/2026 Credit: 7 Coefficient: 4
Weekly Teaching Hours:
· Courses (number of hours per week): 3 hours
· Tutorials (number of hours per week): 1:30 hours
Assessment Method: Continuous Assessment 40%, Final Exam 60%
Continuous Assessment and Final Exam Weightings: Attendance, participation, etc.: 7 points. Test (02): 13 points.
Course Lead: Dr. Smail KAOUACHE
Contact: s.kaouache@centre-univ-mila.dz
smailkaouache@gmail.com
Course Objectives:
The objective of this subject is to provide students with the necessary knowledge regarding simple and uniform convergence of function series, the expansion of functions into power series and Fourier series, generalized integrals, and functions defined by an integral. Recommended prior knowledge: Analysis 1 and Analysis 2.
Content:
Chapter 1: Numerical Series
Chapter 2: Sequences and Series of Functions
Chapter 3: Power Series
Chapter 4: Fourier's Series
Chapter 5: Improper (Generalized) Integrals
Chapter 6: Functions Defined by Integrals
References
- Smail Kaouache, Courses of Mathematical Analysis 3, Abdalhafid Boussouf University of MILA, 2025), http://dspace.centre-univ-mila.dz/jspui/handle/123456789/4233
- J. Lelong Ferrand, Exercices résolus d'analyse, Dunod, 1977.
- J. Lelong-Ferrand et J. M. Arnaudiès, Cours de mathématiques, tome 2, Edition Dunod, 1978.
- J. Rivaud, Analyse «Séries, équations différentielles» -Exercices avec solutions, Vuibert, 1981.
- C. Servien, Analyse 3 « Séries numériques, suites et séries de fonctions, Intégrales », Ellipses, 1995.