Department of Fundamental Education in Science and Technology

Lecturer	Ahmed chawki AOUINE
Information	Bachelor - Second Year : Electronic Department of Fundamental Education in Science and Technology Website : https://www.univ-soukahras.dz/en/module/5029 Semester : S3 Unit : UEF 2.1.1 Credit : 6 Coefficient: 3
Content	Chapter 1: Simple and Multiple Integrals (3 weeks) 1.1 Review of Riemann integral and computation of primitives. 1.2 Double and triple integrals. 1.3 Applications in computing areas, volumes, etc. 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 of the endpoints. Chapter 3: Differential Equations (2 weeks) 3.1 Review of ordinary differential equations. 3.2 Partial differential equations. 3.3 Special functions. Chapter 4: Series (3 weeks) 4.1 Numerical series. 4.2 Sequences and series of Functions. 4.3 Power series, Fourier series. Chapter 5: Fourier Transform (3 weeks) 5.1 Definition and Properties. 5.2 Application in solving differential equations. Chapter 6: Laplace Transform (2 weeks) 6.1 Definition and properties. 6.2 Application in solving differential equations.
Evaluation	Continuous control: 40%; Final exam: 60%.