Home » LinearAlgebra-Spring2017 » Linear Algebra Educational Goals

Linear Algebra Educational Goals

  • Goal 1:
    To become fluent in solving linear systems of equations with or without parameters, and to gain an understanding of what the solutions represent geometrically. The corresponding assessment will primarily be based on student performance on the matching in-class exam and homework.
  • Goal 2:
    To become fluent in matrix algebra and determinants, and to gain an understanding of what they represent geometrically. The corresponding assessment will primarily be based on student performance on the matching in-class exam and homework.
  • Goal 3:
    To develop an ability to work with eigenvalues and eigenvectors, both computationally and geometrically. The extent to which this goal is achieved will be determined by student performance on the corresponding exam and homework, as well as the performance on the final exam.
  • Goal 4:
    To internalize the idea of abstract vector spaces. The extent to which this goal is achieved will be determined by student performance on the corresponding homework, as well as the performance on the final exam.
  • Goal 5:
    To become fluent in working with (abstract) inner product spaces. The extent to which this goal is achieved will be determined by student performance on the corresponding homework, as well as the performance on the final exam.
  • Goal 6:
    To be able to do change of basis and coordinates “in your sleep”. The corresponding assessment will primarily be based on student performance on the corresponding homework, as well as the performance on the final exam.

The course grade will be determined by the above goals, in a 15-15-30-15-15-10 ratio.

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