Week 6: Closure

Week 6: Closure#

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

Key Concepts#

  • The image set of continuous functions

  • Global and local extrema (maxima and minima)

  • Stationary points

  • Extremum investigation of multi-variable scalar functions

  • Characterization of stationary points (maximum, minimum, or saddle)

  • The second-order test and the “Hessian-eigenvalue” test

  • Positive (semi-)definite matrices

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.

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