Natural sciences, mathematics and statistics

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UNIT II. DIFFERENTIATION: – Lesson № 4. The Differential Operators d(∙), D𝜉(∙) and the Principles of Differentiation
(2024) UDM Lecturer Khodabocus M. I.
Many important properties of a function of a variable are found with the aid of a related function called the derivative of the function with respect to the variable. Therefore, knowledge of the derivation of functions is clearly absolutely essential for further studies in so many engineering disciplines. Lesson № 4 introduces the definition and the basic properties of the differential operators d (⋅), Dξ (⋅). This is followed by a presentation of the principles of differentiation.
UNIT I. COMPLEX NUMBERS: – Lesson № 1. The Complex Number System ℂ and Arithmetic Operations on ℂ×ℂ
(2024) UDM Lecturer Khodabocus M. I.
Complex numbers are used in many scientific fields, including engineering, electromagnetism, quantum physics and applied mathematics, such as chaos theory. Therefore, knowledge of complex numbers is clearly absolutely essential for further studies in so many engineering disciplines. Lesson № 1 introduces the definition and the basic properties of the complex number system C. This is followed by a presentation of the fundamental arithmetic operations on C× C.