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Arvind Bhardwaj [AB]

Engineering

Arvind Bhardwaj
Date of Issue: 17 Jun 2020

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This project is being considered in order to reduce and totally eliminate loss of customers to competitors, and save the company from folding up. The current system is manual and it is time consuming. It is also cost ineffective, and average return is low and diminishing. Currently, customers can call or walk-in in order to rent or reserve a vehicle. The staff of the company will check their file to see which vehicle is available for rental. The current system is error prone and customers are dissatisfied. The goal of this project is to automate vehicle rental and reservation so that customers do not need to walk-in or call in order to reserve a vehicle. They can go online and reserve any kind of vehicle they want and that is available. Even when a customer chooses to walk-in, computers are available for him to go online and perform his reservation. When he choose to reserve by phone, any of the customer service representatives can help him reserve the vehicle speedily and issue him a reservation number. The VRS will maintain the database of all vehicles the company has. It will also keep track of all vehicle reservation and return. Reports will be generated bi-weekly. Reports for the Accounts Manager will detail the cost incurred to maintain each vehicle and revenue accrued on each vehicle. Reports for the Maintenance Manager will detail the present mileage of the car in order for him to take care of the vehicle servicing, and when each vehicle will be due for tag renewal. The Branch Manager’s report will detail total cost incurred and total revenue accrued, and the status of each vehicle so that he can decide whether to sell the vehicle or still keep it.

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An online book store is a virtual store on the Internet where customers can browse the catalog and select books of interest. At checkout time, the items in the e-library will be presented as an order. At that time, more information will be needed to complete the request. Usually, the customer will be asked to fill online form. An e- mail notification is sent to the customer as soon as the order is placed. This project intends different types of forms with many types of books like story, drama, romance, history, adventures, etc. it can manage studying of books online, customers can choose many types of books categories, etc. Here, the user may select desired book and view its price. The user may even search for specific books on the website. Once the user selects a book, he then has to fill in a form and the book is provided for the user.

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Complex Plane, Modulus, Argument, and Graphical Representation of a Complex Number Hello, my name is Mohammad Ali Nayeem, a student at DIU studying Software Engineering. In Math 102, we delve into various concepts related to complex numbers, including the complex plane, modulus, argument, and their graphical representation. Complex Plane The complex plane is a two-dimensional plane used to visually represent complex numbers. It consists of a horizontal axis (the real axis) and a vertical axis (the imaginary axis). Any complex number 𝑧 = 𝑎 + 𝑏 𝑖 z=a+bi can be plotted on this plane, where 𝑎 a is the real part and 𝑏 b is the imaginary part. Modulus The modulus (or absolute value) of a complex number 𝑧 = 𝑎 + 𝑏 𝑖 z=a+bi is the distance of the point representing 𝑧 z from the origin (0, 0) in the complex plane. It is denoted by ∣ 𝑧 ∣ ∣z∣ and calculated using the formula: ∣ 𝑧 ∣ = 𝑎 2 + 𝑏 2 ∣z∣= a 2 +b 2 The modulus provides a measure of the magnitude of the complex number. Argument The argument of a complex number is the angle 𝜃 θ between the positive real axis and the line segment connecting the origin to the point representing the complex number. It is denoted by arg ⁡ ( 𝑧 ) arg(z) and is usually measured in radians. The argument can be found using the formula: 𝜃 = tan ⁡ − 1 ( 𝑏 𝑎 ) θ=tan −1 ( a b ) The argument indicates the direction of the complex number in the complex plane. Graphical Representation To graphically represent a complex number 𝑧 = 𝑎 + 𝑏 𝑖 z=a+bi, plot the point ( 𝑎 , 𝑏 ) (a,b) on the complex plane. The modulus is the length of the line from the origin to this point, and the argument is the angle this line makes with the positive real axis. For example, the complex number 3 + 4 𝑖 3+4i can be plotted as the point (3, 4). Its modulus is: ∣ 3 + 4 𝑖 ∣ = 3 2 + 4 2 = 5 ∣3+4i∣= 3 2 +4 2 =5 Its argument is: 𝜃 = tan ⁡ − 1 ( 4 3 ) ≈ 0.93 radians θ=tan −1 ( 3 4 )≈0.93 radians Understanding these concepts helps in visualizing and manipulating complex numbers, which are fundamental in many areas of engineering and applied mathematics. Best regards, Mohammad Ali Nayeem DIU Software Engineering Student

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