Week 9: Closure

Week 9: Closure#

Continue working on the the preparatory exercises and the in-class exercises that you have not yet completed.

Key Concepts#

  • Parametrizations of curves and surfaces in \(\mathbb{R}^n\)

  • Normal vector of a surface

  • Line integral and surface integral

  • The general Jacobian “function”

  • Vector fields and gradient vector fields

  • Flow curves

  • Tangental line integral: Integration along a curve

  • The antiderivative problem in \(\mathbb{R}^n\)

  • Circulation

  • Orientation of parametrized curves and surfaces

  • Flux

If there are still concepts you are unsure about, you should reread the relevant chapters in the textbook or revisit the exercises of the week.

Extra Exercises#

This week there are no closure exercises. If you have completed all the exercises of the week, go back to the exercises from previous weeks, if you are still missing some there.

If you have extra time, then spend it on preparation for the project period. Return to the relevants chapters from the textbooks in Math1a and Math1b that fit the topic you will be working on.

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