U1.1: Engineering Tools 1
Engineering Mathematics
Module designation | Engineering Tools 1 |
Module level, if applicable | 1st year |
Code, if applicable | U1.1 |
Subtitle, if applicable | – |
Courses, if applicable | Engineering Mathematics |
Semester (s) in which the module is taught | Semester 1 (S1) |
Person responsible for the module | Dr Issam Khezami |
Lecturer | Afef HIDRI |
Language | French |
Relation to curriculum | Scientific Subject (compulsory), To introduce Math for engineering and application |
Type of teaching, contact hours | 42 hours, of Integrated Course (Classroom Lecture) |
Workload | Total 84Hrs/Semester (42 hours of Self Study) |
Credit points | 3 credits |
Requirements according to the examination regulations | – Minimum attendance rate: 80% of the total contact hours >20 % of nonattendance = elimination for exams |
Recommended prerequisites | Preparatory Programme (Calculus & Algebra) |
Module objectives/intended learning outcomes | Objectives: 1. Understand the Concept of Fourier and Laplace transform 2. Understand the resolution methods for Differential Equations. |
Content | CHAPTER 1 : Fourier Transform (FT) Definitions, Inverse transform, Different definitions of the FT., Transformation of L2 (Plancher and Parseval formula), Properties of the FT., FT of the usual functions. CHAPTER 2 : Laplace Transform (LT) Definitions, Theorem of the initial value, Theorem of the final value, Properties of the LT, LT of the usual functions. CHAPITRE 3 : Complex Integrals Residual theorem, Cauchy conditions, Complex logarithmic function, Cauchy theorem, Laurent series, Singularities, Definition of the residue of f at z0, Residual theorem, Calculation of the residue in the case of a single and multiple pole, Lemmas of Jordan. |
Study and examination requirements and forms of examination | Format: Written Mid-term Exam (40%) + Final Exam (60%) |
Media employed | Course Material (Hard/ Soft copy) for Classroom & Online (Moodle ULT) |
Reading list | [1] Appel Walter, Mathématiques pour la physique, H&K, 2005. [2] Arnaudies Jean-Marie, fraysse Henri, cours de mathématiques, Dunod, 1994. [3] Casquet Claude, witomski Patrick, Analyse de Fourier et applications, Dunod, 1996. [4] Parodi Maurice, mathématique appliquées a l’art de l’ingénieur, Sedes, 1965. [5] Roddier francois, distributions et transformation de Fourier, mc Graw-hil, 1993. |