Department of Fundamental Education in Science and Technology

Lecturer	Ahmed chawki AOUINE
Information	Bachelor - 2nd Year Electro-Mecanical Engineering Department of Fundamental Education in Science and Technology Website : https://www.univ-soukahras.dz/en/module/3000 Semester : S3 Unit : UEF 2.1.1 Credit : 6 Coefficient: 3
Content	Chapter 1: Simple and multiple integrals 1.1 Reminders on the Riemann integral and on the calculation of primitives. 1.2 Double and triple integrals. 1.3 Application to the calculation of areas, volumes, etc. Chapter 2: Improper integrals 2.1 Integrals of functions defined on an unbounded interval. 2.2 Integrals of functions defined on a bounded interval, infinite at one of the ends. Chapter 3: Differential equations 3.1 Reminder of ordinary differential equations. 3.2 Partial differential equations. 3.3 Special functions. Chapter 4: Series 4.1 Numerical series. 4.2 Sequences and series of functions. 4.3 Integer series, Fourrier series. Chapter 5: Fourier Transform 5.1 Definition and properties. 5.2 Application to the resolution of differential equations. Chapter 6: Laplace Transformation 6.1 Definition and properties. 6.2 Application to the resolution of differential equations.
Evaluation	Continuous monitoring: 40%; Final exam: 60%.