Author Archives: jrh794

About jrh794

I am a sixty-five year old math instructor at Southern Oregon University. I taught at the College of the Siskiyous in Weed California for twenty-six years. Prior to that I worked as a computer programmer, carpenter and in various other jobs. I graduated from Rice University in 1967 and have a MS in Operations Research from Stanford. In the past I have hand-built a stone house and taken long solo bicycle tours. Now I ride my mountain bike and play golf for recreation.

Changing the Limits of Integration

It is possible to change the limits of a definite integral to any limits you want by using a linear u-substitution.  To go from the integral from a to b to the integral from a’ to b’, use a u-substitution of u = mx + … Continue reading

Posted in Cool Ideas, Math Explorations | Tagged | Leave a comment

I Love Math – And It Makes Me Glad

I love the game of Go, I love golf, I love my wife, I love teaching, and I love math – and this makes me glad. Eight years ago, I ended that sentence with the word, “sad.”  Eight years of … Continue reading

Posted in Rants | Leave a comment

Machine Learning – So, Explain Yourself

We humans are not giving up without a fight. Though computers are clearly outthinking us, see AlphaGo for example, we aren’t listening.  Cynthia Rudin, my latest hero, describes the issue in this video. Humans need reasons. In the paper, A … Continue reading

Posted in Cool Ideas, Math Explorations | Tagged | Leave a comment

Science Problems with an Apology

I added these two problems to the Precalculus homework list as part of my effort to incorporate science examples in my classes. They were taken from solutions to some physics exercises and intended to give more practice on multi-variable systems. … Continue reading

Posted in Curriculum, Teaching | Tagged | Leave a comment

An Optimization Excursion

A student, Emily Wimmer, walked into my office.  She was trying to make sense of an optimization algorithm.  We worked it out and off she went to write a MATLAB program to test the algorithm on a well-behaved function. Of … Continue reading

Posted in Cool Ideas, Math Explorations | Tagged | Leave a comment

Teaching Choices

Last week we had a few sixth graders visit our elementary algebra classroom.  While my students were taking their daily quiz, I put this on the board for the youngsters.  I went to the back of the room and explained … Continue reading

Posted in Classroom Happenings, Pedagogy, Teaching | Tagged | Leave a comment

A Good Test …

It is finals time and I am daydreaming. A good test has students emulating reasoning patterns. has students supplying reasons for steps. has students grabbing the best tool for the job. has students display what they learned doing their homework. … Continue reading

Posted in Pedagogy, Teaching | Tagged | Leave a comment