What's wrong with this?
While talking to your English Professor: "Hello, my name is Sara and I am an undergraduate student in my Junior year at Carnegie Mellon University in Qatar"
You're talking to your professor that you've known for many years... you should not introduce yourself as if you don't know them - this wastes time and shows a lack of tailoring to your audience!
While talking to your English Professor: "Hello, Professor Smith. As you know, I've been exploring Victorian literature, and I'm particularly intrigued by the themes of social change. I'm currently working on a paper that delves into the representation of societal shifts in Dickens' works."
This is well-done because it acknowledges the relationship between the professor and student well and establishes a connection based on shared history. It also tailors the conversation to the professor's field of expertise.
While speaking to your colleague pursuing a degree in Journalism: "I spent my summer developing a highly sophisticated quantum computing algorithm that attempts to tackle problems in Polynomial time by avoiding brute force mechanisms"
You should never assume how much technical jargon someone has. In this case, your colleague comes from a non-technical background and your speech utilizes too much jargon for that kind of background.
While speaking to the Dean of Business Administration about the business school’s initiative to establish a data analytics hub: “I spent my summer creating a computer program that tries to solve math problems faster by being clever, instead of trying every possibility one by one. I believe that its application aligns well with the data analytic hub you've been considering for the business school.
This is effective because and does not use complicated jargon but explains the concept effectively. It also connects the project to the dean's broader goals and initiatives within the business school
While speaking to a potential employer: "Even though I might not have the skills that are the best for this internship, I can code in Python"
You are trying to appeal to an employer and what they are seeking, so you don't want to highlight skills you lack but skills you possess
While speaking to a potential employer for a software engineering internship: "At my last internship I collaborated with my team to develop an inventory management system. I was able to leverage my strong background in Python programming and leadership skills, I contributed to both the technical and social dimensions of the project."
This is well-done because it highlights the important skills and abilities needed for the internship and this particular audience; makes a solid argument as to why you should be considered for the position
While speaking to a potential client for your business: "We heard you're looking for an AI algorithm to speed up your chatbots BUT we specialize in website design and think this template would be great for your online presence"
You are completely ignoring the needs of your client - you need to adapt your skills to what the client wants
While speaking to a potential client for your business: "We heard that you’re looking to improve your online presence. Our company specializes in website design and development, making us an ideal match for your needs."
You're recognizing the needs of potential clients while promoting your capability to meet those needs.