Posted: January 21st, 2021

journal entry about math homework help (half page is enough)

Question description

Write a journal entry about mathematics. You can touch on the material in this course or other mathematics that you have been thinking about. The idea is to give yourself a chance to think creatively, carefully, and deeply, rather than simply answering canned questions.Here are some ideas to get you started. I'm not suggesting that you have to write about one of these (but you can if you want). Instead, I'm giving examples of the kinds of questions you might think about. You are free to be as creative (or eccentric) as you want. You can also drop a blob of barely-thought-about brain slobber, but then you are wasting your time and ours.Your entry can be written here in canvas, put on a website (with URL submitted here), or uploaded as a file (including video or audio files).You will also be assigned to peer review two of your fellow classmates. These assignments will be made on Saturday. Please read the entries you are assigned and give helpful feedback. You can ask followup questions, say what you like about the entry, say what you find puzzling, etc.A few ideas for journal entriesSimple: Write a vector class in a programming language of your choice. Medium-hard followup: would you use exact arithmetic or floating point arithmetic? What are the advantages and disadvantages of each? Harder followup: can everything you have learned about vectors so far be implemented on a computer? Is there a vector problem that cannot be done by a computer?Simple: What is the best quadratic surface approximation to the quad? How would you even think about constructing one? (You could just write an entry about how you would go about trying to do this.) Can you predict where a skateboard will end up if you drop it near the art building? Follow-ups: what about higher degree models (cubic equations)? When is a quadratic model better or worse than a linear model? What about making a lot of quadratic models for little patches of the quad and trying to glue them together?What are the real numbers? (This one is the most mathematically sophisticated -- but shortest -- question here!)What is a vector differential equation? Can you figure out the motion of a pendulum that is free to rotate with two degrees of freedom around its anchor point?Read part of Newton's original work about calculus. Does his definition of derivatives agree with ours? How does  he deal with high-dimensional problems?

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