Computer engineering (Academic Year 2022/2023) - Computer Engineering

Mathematical Methods

Credits: 9

Content language:Arabic

Course description

The course Mathematical Methods for Engineering is the natural following of Calculus I. The arguments concerns functions with more variables and they provide the student the essential tools more complex problems in Physics, Engineering and Economics.

Prerequisites

The knowledge of the arguments discussed in Calulus I is essential.

Objectives

Mathematical Methods extends the concepts and the results obtained in the study of functions of one real variable to many real variables. Ordinary differential equations are presented as the cornerstone of the understanding of natural, physical and economical phenomenon.

Program

Mathematical Methods deals with many variable differential calculus and in particular it introduces partial derivatives, gradient and total derivative or differential. The following macro argument concernes ordinary differential equations concentrating on first order linear equations and systems. The last argument in the real analysis section is the theory of multidimensional integrals developed concentrating on the two and three dimensional case.

Book

“Calculus II – Part I”, Uninettuno University Press - McGraw-Hill, 2013 (available on the Uninettuno University Press bookstore).
“Calculus II – Part II”, Uninettuno University Press - McGraw-Hill, 2013 (available on the Uninettuno University Press bookstore).

Exercises

A wide number of exercises on each of the macro arguments are available. These are fundamental in order to fully grasp the cohomprension of the arguments dealt in the course and often have an applicative aim.

Professor

Clemente Cesarano

Video professors

Prof. Michael Lambrou - University of Crete (Heraklion/Crete - Greece)

List of lessons

• Lesson n. 1: Series of Numbers		Mohamed Kheir Ahmed
• Lesson n. 2: Some types of Convergences		Mohamed Kheir Ahmed
• Lesson n. 3: Functional Sequences		Mohamed Kheir Ahmed
• Lesson n. 4: Functional Series		Mohamed Kheir Ahmed
• Lesson n. 5: Power Series		Mohamed Kheir Ahmed
• Lesson n. 6: Developing of Function in Power Series		Mohamed Kheir Ahmed
• Lesson n. 7: Fourier Series – I		Mohamed Kheir Ahmed
• Lesson n. 8: Fourier Series – II		Mohamed Kheir Ahmed
• Lesson n. 9: Functions of 2 Variables, Topology of R2		Mohamed Kheir Ahmed
• Lesson n. 10: Functions of 2 Variables Limits and Continuity		Mohamed Kheir Ahmed
• Lesson n. 11: Functions of 2 Variables– III		Mohamed Kheir Ahmed
• Lesson n. 12: Functions of 2 Variables – IV		Mohamed Kheir Ahmed
• Lesson n. 13: Gradient as a Normal – Tangent		Mohamed Kheir Ahmed
• Lesson n. 14: Functions of 2 Variables Extreme Values		Mohamed Kheir Ahmed
• Lesson n. 15: Multiple Integral I		Mohamed Kheir Ahmed
• Lesson n. 16: Multiple Integral II		Mohamed Kheir Ahmed
• Lesson n. 17: Multiple Integral III		Mohamed Kheir Ahmed
• Lesson n. 18: Calculus of Vector fields – I		Mohamed Kheir Ahmed
• Lesson n. 19: Calculus of Vector fields – II		Mohamed Kheir Ahmed
• Lesson n. 20: Differential Equations – I		Mohamed Kheir Ahmed
• Lesson n. 21: Differential Equations – II		Mohamed Kheir Ahmed
• Lesson n. 22: Differential Equations – III		Mohamed Kheir Ahmed
• Lesson n. 23: Differential Equations – IV		Mohamed Kheir Ahmed
• Lesson n. 24: Second – Order Linear D. E.		Mohamed Kheir Ahmed
• Lesson n. 25: Differential Equations – V		Mohamed Kheir Ahmed

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Computer engineering (Academic Year 2022/2023) - Computer Engineering

Mathematical Methods