Assumed Background

I will be assuming that you have the following background in mathematics and statistics. The list may not actually include everything I assume.

Mathematics:

• Calculus:

  • Minimize / maximize functions of several variables

  • Lagrange multipliers

  • Multiple integrals

• Linear Algebra:

  • Vectors and matrices

  • Determinant, rank, inverse

  • Eigenvalue, eigenvector

  • Cauchy-Schwarz inequality

  • Dot or inner product

  • Trace of a matrix.

• Computing:

  • Use of PC or Mac

  • Use of SAS or Minitab

  • Use of Assignment Lab

• Statistics

  • 1, 2 sample problems

  • simple linear regression

  • 2 way ANOVA; Blocking

  • Normal t, $\chi^2$, F, Binomial, Poisson, Geometric, Negative Binomial, Gamma distributions.

  • Hypothesis testing:

    • Power, level, Type I and II errors.

    • P-value

    • Sample size calculations in basic problems

  • Confidence Intervals: concepts and examples.

  • Basic probability