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Multivariable Calculus UAF MATH F253X

Dr. Latrice Bowman

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Section Surface Integrals

Worksheet APP-3 Reading

All of the readings for this course come from the OpenStax Calculus Volume 3 textbook, which is available for free online at https://openstax.org/details/books/calculus-volume-3. You can read the textbook online or download a PDF version. The textbook is also available in print from various retailers if you prefer a physical copy.
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For this lesson, you should read sections 6.5 Divergence and Curl and 6.6 Surface Integrals. You should read through the sections carefully, making sure to understand the definitions, examples, and key ideas. You should also work through the exercises at the end of each section to test your understanding and practice applying the concepts. Some of the exercises at the end of the section are assigned in the WP assignments.
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Worksheet APP-3 Videos

Divergence and Curl
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Parametric Surfaces and Their Areas
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Surface Integrals
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Worksheet APP-3 Written Practice

INFORMATION ABOUT ALL WRITTEN PRACTICE (WP) ASSIGNMENTS:
  • All of the WP problems come from our online textbook: https://openstax.org/details/books/calculus-volume-3
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  • Complete solutions to all WP assignments can be found in Canvas within the section Module.
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  • Links to the text and PDFs of the text can be found in the Canvas module under the Reading and Information.
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THE WP ASSIGNMENTS ARE DESIGNED TO PREPARE YOU FOR THE QUIZZES AND ASSESSMENTS
  • Work on every problem on every assignment.
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  • If you get stuck or do not understand a solution, ask questions.
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  • For each problem, try it once or twice before looking at solutions or asking for help.
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  • Mark the problems you did correctly on the first try.
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  • Highlight problems where you got help (using solutions, videos, a tutor, etc) -These are the problem types that you will need more practice on to be ready for the assessments.
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  • Understand that just copying the solutions instead of working through the problems will greatly reduce your chances of success in this class.
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WP16
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Divergence and Curl: Complete problems 216, 218, 223, 230, 234, 235, 255
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Surface Integrals: Complete problems 275, 277, 281, 284, 285, 303, 313, 315, 317
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In addition to these problems, on separate paper complete the following exploration. This link Flux through a Cylinder will take you to the exploration. On the right side of the screen, you will be given some instructions and questions to answer. Follow the instructions and write out your answers to each of the questions.
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