Engineering Mathematics

Semestre 1

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.

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