OER at UH Manoa is growing and the Mathematics is participating with free online (and cheap hard copy) textbooks for MATH 111-112 and MATH 372 on the books and in the works.

The MATH 372 textbook, tentatively entitled *Statistics and Hidden Markov Models for Calculus Students*, is authored by Professor Bjørn Kjos-Hanssen and PhD student Samuel Birns.

The book is being developed during Fall 2018. It is a supplement to OpenIntro Statistics (3rd Edition), a free textbook which describes calculus in a mathematics-rich but calculus-free way. Reading it, one will encounter many practical examples and probability calculations, but may never learn that the standard normal probability density function is

$$f_Z(z)=\frac1{\sqrt{2\pi}}e^{-z^2/2}.$$

MATH 372 is our junior-level elementary probability and statistics course and is intended for students who have already taken Calculus I and II. (Students who have taken Calculus III and IV can learn why the normal distribution has that $\frac1{\sqrt{2\pi}}$ factor in MATH 471 and MATH 472, our senior-level courses on the subject.)

A hidden message in the book title is that linear algebra is not a required prerequisite. Thus, we do not go into the typical machine learning material. However, the book includes a chapter on Hidden Markov Models and an associated complexity notion studied in Kjos-Hanssen’s recent Experimental Mathematics article.

MATH 372 is projected to become a high-enrollment course starting in Spring 2019 when Information & Computer Sciences starts to require it for their data science concentration.

Table of Contents:

- Data
- Probability
- Distributions
- Inference
- Inference for numerical data
- Inference for categorical data
- Linear regression
- Model selection

The textbook projects are funded by Outreach College as one of their OER Grant Projects.