Differentiation and its Applications

Assignment due Saturday, March 30, 2024 by 11:00pm This deep dive assignment focuses on limits, continuity, and single-variable derivatives. The problem set is posted here. Collaboration Math is a lot more fun with friends. We encourage you to collaborate and to discuss the problem sets with each other. However, it is key that you are able to apply the skills and concepts you learn in class and explain your approach on your own. For this reason, you should not share any written work with each other outside of class and are required to write up all solutions independently. You should also acknowledge the peers you collaborated with on your submission and cite any external resources you consult. Submission You may choose to type your solutions using LaTeX, Google Documents, or other software. You may also write on a graphic tablet and submit a PDF of your work. Hand-written solutions on paper are also acceptable, so long as they are scanned/photographed clearly and are fully legible. There exist scanning apps that will allow you to take photos of pages and create a PDF from them (Office Lens, for example). Low scores will be assigned for illegible work and/or images of poor quality. All graphs should be included in your PDF file, with a relevant caption. Assignment Information Weight: 6% Learning Outcomes Added • • • • • ComputationalTools: Apply computational terminology and tools appropriately in different quantitative contexts. #ComputationalTools Apply computational terminology and tools appropriately in different quantitative contexts. Different quantitative contexts require different computational tools (e.g., equations, tests, computer programs, code tasks) and terminology. To effectively solve problems, one must understand the computational tools relevant to the context and then select the most effective tool. Differentiation: Apply the tools of differentiation (including optimization techniques and Lagrange multipliers) and interpret the results. #Differentiation Apply the tools of differentiation (including optimization techniques and Lagrange multipliers) and interpret the results. • TheoreticalTools: Employ theoretical tools to analyze or solve a problem. • #TheoreticalTools • Employ theoretical tools to analyze or solve a problem