Chapter 1 Mathematical Background

“Review” things I haven’t seen formalized in >20 years.

Learning objectives:

• Calculate sums of geometric sequences.
• calculate sums of binomial series.
• Use Taylor approximation to estimate the value of a function near a certain point.
• Calculate integrals of odd and even functions.
• Use the fundamental theorem of calculus and the chain rule to solve problems.
• Use linear algebra to compare vectors.
  • Calculate the inner product of two vectors.
  • Calculate the norm of a vector.
  • Calculate the cosine angle between two vectors.
  • Calculate the weighted norm between two vectors.
• Use matrix calculus to solve problems.
• Calculate permutations of items.
• Calculate combinations of items.