Module : Mathematical Analysis 3
| Semestre 4 CP | VHS C/TD/TP |
VHH Total C/TD/TP |
V.H. Hebdomadaire | Coef | Crédits | ||
|---|---|---|---|---|---|---|---|
| C | TD | TP | |||||
| UE Methodologiques 4.1 | 45 | 3 | 1.5 | 1.5 | 2 | 4 | |
Course Description :
This course covers topics in advanced calculus, including integrals depending on a parameter, integral transformations, special functions, and extremum of a function with one or more variables. The course builds on the foundations of calculus, including limits, derivatives, and integrals. The course begins with a study of integrals depending on a parameter, including differentiation under the integral sign and the Laplace transform. This leads into a study of integral transformations, including the Fourier transform. The course then covers special functions, including the gamma function, the beta function, and the Bessel functions. The course concludes with a study of the extremum of a function with one or more variables, including Lagrange multipliers and optimization in several variables.
Prerequisite : Continuous Mathematics 1 ans 2
Evaluation Mode: Coursework (40%) + Final Exam (60%)
Course Content
- Integral Depending on one Parameter
- Integral Transformations
- Special functions
- Extremum of a function with one or more variables
References
- Elie Azoulay & Jean Avignant, Mathématiques : cours et exercices. 3, Analyse, Auckland Paris etc. : Mc Graw Hill, 1984.
- Lokenath Debnath Dambaru Bhatta, Integral Transforms and Their Applications, Chapman and Hall/CRC; 2nd edition, 2006.
- Murray R.Spiegel, Fourier Analysis, Schaum’s outline series, McGraw-Hill Education; 1st edition, 1974.