David B. Jaffe -- Course Materials -- Linear Algebra (Math 314)

Course Materials -- Linear Algebra (Math 314)


Files listed as "source" are incomplete TeX files. My present implementation of TeX is too idiosyncratic and outdated to make working TeX files available. You may have to click a second time on Maple worksheet links to invoke Maple.
  1. Old exams. Finals: fall 94 (source here), spring 95 (source here).
  2. Some review questions for exam 3 (inner product spaces, eigenvalues): click here, or here for source.
  3. Optional projects (individual), Math 314, Spring 1996, each worth 20 points:
    1. Rotation matrices, Mathematica notebook, click here.
    2. Some questions about orthogonal matrices, click here. (Source is here.)
    3. Incidence matrices, Cayley-Hamilton theorem, airline travel (Maple worksheet), click here. This project was written by Tom Marley.
  4. Solve systems of nonlinear equations (approximately), project for linear algebra, Math 314. Click here for a description (ps file). The LaTeX source for this (minus some macros) can be obtained by clicking here. An accompanying Maple worksheet is here. Background (brief) on linear and affine mappings is here or sort of here (sort of a TeX file). Solutions: first parts, source (sort of tex), Maple worksheet (UNL Math faculty access, or write to me.)
  5. A summary of key ideas about inner product spaces is here. (Source file is sort of here.) Examples of Gram-Schmidt: Maple worksheet. (The function approximation example is based on a worksheet of Tom Shores.)
  6. Two examples of least squares approximation. Both are Mathematica notebooks, and if you are not using a UNL Math departmental computer during Spring 1996, you'll need to download ClassPackage.m and adjust the notebooks accordingly to load it. The notebooks are football.ma, computing football power ratings, with somewhat dated data. (Based on a notebook of Tom Shores.)