For each exercise, please draw the specified diagram based on the provided requirements. Do not use AI or else the answer will be downvoted.

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Exercise $1$:

For a university's course registration system, three use cases along with their associated actors and preconditions were identified and documented. Draw a use$-$case diagram.

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Use Case: Enroll in a Course

Actor: Student

Preconditions: The student is logged into the system.

Description: The student can enroll in a course by selecting it from the available course list.

Use Case: View Course Schedule

Actor: Student

Preconditions: The student is logged into the system.

Description: The student can view their course schedule, including enrolled courses and class timings.

Use Case: Add New Course to Catalog

Actor: Administrator

Preconditions: The administrator is logged into the system.

Description: The administrator can add a new course to the catalog, specifying details such as course code, title, and instructor.

Exercise $2$:

Use cases for a Library Management System providing a foundation for building a comprehensive Library Management System that meets the needs of both librarians and library members. The use cases should cover essential functionalities for effective library operations. Based on the provided use cases, draw a use$-$case diagram.

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Actors:

Librarian: Manages book inventory, handles check$-$in and check$-$out, and monitors fines.

Members: Can borrow and return books, check account status, and search for books.

Use Case: Add a New Book to Inventory

Actor: Librarian

Preconditions: Librarian is logged into the system.

Description:

$1.$ Librarian enters book details $($title$,$ author, ISBN, quantity$).$

$2.$ System adds the book to the inventory.

$3.$ System generates a unique identifier $($book ID$).$

Use Case: Borrow a Book

Actor: Member

Preconditions: Member is logged into the system and has a valid library card.

Description:

$1.$ Member searches for a book by title or author.

$2.$ Member selects a book and requests to borrow it$.$

$3.$ System checks availability and reserves the book.

$4.$ Member receives a due date for returning the book.

Use Case: Return a Book

Actor: Member

Preconditions: Member is logged into the system and has borrowed books.

Description:

$1.$ Member selects the option to return a book.

$2.$ Member scans the book or manually enters book details.

$3.$ System updates inventory, marks the book as returned, and calculates fines $($if any$).$

Use Case: Check Account Status

Actor: Member

Preconditions: Member is logged into the system.

Description:

$1.$ Member views account details, including borrowed books, due dates, and any fines.

$2.$ System displays account status and notifications.

Use Case: Search for Books

Actor: Member

Preconditions: Member is logged into the system.

Description:

$1.$ Member searches for books using various criteria $($title$,$ author, genre$).$

$2.$ System displays search results with available books.

Exercise $3$:

Draw a sequence diagram at requirements level for the following scenario.

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Student Logs into Online Learning Platform

Actors:

Student

Login Page

Authentication System

User Database

Dashboard

Flow:

$1.$ The Student enters their username and password on the Login Page.

$2.$ The Login Page sends these credentials to the Authentication System to verify the identity of the student.

$3.$ The Authentication System queries the User Database to check the credentials.

$4.$ The User Database returns the verification result to the Authentication System.

$5.$ If the credentials are correct, the Authentication System informs the Login Page of the successful login$.$

$6.$ The Login Page then redirects the Student to their Dashboard.