Department of Fundamental Education in Science and Technology

Lecturer	Ahmed chawki AOUINE
Information	Bachelor - Second Year : Chemical engineering Department of Fundamental Education in Science and Technology Website : https://www.univ-soukahras.dz/en/module/2376 Semester : S3 Unit : UEF 2.1.1 Credit : 6 Coefficient: 3
Content	Contents : Chapter 1: Simple and multiple integrals 3 weeks 1.1 Review of the Riemann integral and the calculation of primitives. 1.2 Double and triple integrals. 1.3 Application to the calculation of areas, volumes, ... Chapter 2: Improper integrals 2 weeks 2.1 Integrals of functions defined on an unbounded interval. 2.2 Integrals of functions defined on a bounded interval, infinite at one end. Chapter 3: Differential equations 2 weeks 3.1 Reminder of ordinary differential equations. 3.2 Partial differential equations. 3.3 Special functions. Chapter 4: Series 3 weeks 4.1 Numerical series. 4.2 Function sequences and series. 4.3 Integer series, Fourrier series. Chapter 5: Fourier Transform 3 weeks 5.1 Definition and properties. 5.2 Application to the solution of differential equations. Chapter 6: Laplace Transform 2 weeks 6.1 Definition and properties. 6.2 Application to the solution of differential equations.
Evaluation	Continuous assessment: 40%; Final examination: 60%.