# Vector and Multivariable Calculus

Math 2760 Final Project Summer 2021 – Due Thursday, July 15, by 11:59 PM 100 points Option #1 Research and explain a topic related to Calculus III (Vector and Multivariable Calculus). It doesn’t matter whether we’ve covered the topic yet or if we’re going to cover the topic at all. Some ideas: • • • The use of Vector and Multivariable Calculus to describe a physics or engineering problem. A literature review of an important topic in Vector and Multivariable Calculus from a historical perspective or comparing different methods of solving a problem. Developing an algorithm to do something more efficiently and then conducting an experiment and presenting the results. Name: _________________ Option #2 Pick one problem from each of the topics below that you got incorrect or struggled with (either in Knewton, from the uploaded homework in Canvas, an example from the class or the book, etc.) and present and explain each problem, your work, and what you understand now that you didn’t when you first saw the problem. You can also choose to present an application of each topic as well. • • • • • • Vectors and vector properties (Topics 01 – 14) Vector-Valued Functions (Topics 15 – 23) Graphs and Coordinate Systems (Topics 24 – 27) Multivariable Functions and Partial Differentiation (Topics 28 – 45) Multiple Integration (Topics 46 – 58) Line Integrals and Vector Calculus (Topics 59 – 73) The following rubric will be used to grade your project. Each of the criteria will be graded on a 0-10 point scale. Criteria It is expected that your paper will be typed. And unless you have a good reason not to, please follow these formatting rules: • inch margins (unless you have an equation, table, picture, etc., for which you need to change the margins) • 12 point, Times New Roman font • Microsoft Word/PDF (unless you are sending a resource as a separate PDF, etc.) 2 Your project uses proper spelling and grammar. 3 Your project is at least 8 pages long, including pictures, equations, graphs, and tables. However, your project should have a minimum of 4 pages of written explanation about your chosen topic or problems – which can be about the problem itself, an application, what you learned, etc. 4 Your project includes a statement of your topic or problems with an overview of the context and properly defines all terminology and notation. 5 Your project is on topic. You certainly may give your opinion on a topic, but do not plagiarize and do not include words or random equations in your paper if you are unable to explain them. 6 Your project is free of any mathematical and your explanation shows complete understanding of the mathematical concepts used to solve the problem(s), shows the key steps in solving the problems, and does not merely solve the problem but indicates written explanations for key steps in the solution of the problems. 7 Your project demonstrates analysis of a problems. That is, it goes beyond simply explaining the steps and gives an indication of how the concepts in a problem could extended to a different scenario (e.g., by describing an application, extending from 2 to 3 dimensions, etc.). 8 Your project is clear, nicely presented, and easy to follow. This means that all pictures, equations, graphs, and tables are organized and labeled, and your project looks like it is well organized and well planned. 9 Your project includes at least 6 citations or references in APA Format. This may include references to articles, Knewton, lecture notes, etc. In general, you can use this website to help you: https://www.scribbr.com/apa-citation-generator/. However, here is some information on some other specific situations you may encounter: If you need to cite an example or problem from the lecture notes, use something like this: Bass, H. (n.d.) Place value: Other bases are not so exotic [Class Handout]. Department of Mathematics, University of Michigan, Ann Arbor, MI. Mokry, J. (2007). Lecture 3: The wonders of APA [PowerPoint slides]. Retrieved from Utica College HLS 342 Engage site. If you need to cite something that was said during lecture, but not in a handout or something that you talked with me about by email, use something like this: Y. Martel, personal communication, April 15, 2015. 10 Originality and Creativity. Of course, you shouldn’t plagiarize – from any source, including copying word-for-word from the Internet, copying an idea from someone else in the class, or getting “help” from Chegg or some other website. But this is also about not taking the “easy” way out – if you decide to do problem 1 from every chapter and your explanation about what you learned is almost the same for every problem – that’s not original or creative. These 10 points are about whether your project shows personal growth and reflection by applying critical thinking skills in an original or creative way. 1

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