About Past Research Real Calculus Linear Optimization COV

About Me

I received my PhD in Mathematics at Washington State University in April 2013. Prior to finishing my PhD, I took 6 years off from graduate school. During that time I worked at Walla Walla Community College as the Director of Instructional Support and as an adjunct Math Instructor. I also spent one year teaching High School in a small town called Helix, Oregon. I even spent a semester at the University of Miami in Florida (which was so not my favorite place to live). I received my Master's Degree in Mathematics from Kansas State University in 2000 and I received my Bachelor's Degree in Mathematics (with a Physics minor) from Eastern Oregon University in 1998.

I love the outdoors. In fact, each of the background pictures is a place outdoors that I loved so much I had to capture with my camera. One day, I want to go backpacking in the wild for at least a month. That would be my dream vacation. I also love sports: running, soccer, volleyball, snowshoeing, skating (ice and roller).. but I'm not great at any. I also crochet, but just for fun. I love to Batik. I'm sure you've seen some of my work.

My Research

Interests

  • Calculus of Variations and variational techniques for real data
  • Partial Differential Equations
  • Pure and Applied Analysis
  • Nonsmooth Analysis and Optimization

Publications

  • HM and Thomas J. Asaki "A Finite Hyperplane Traversal Algorithm For 1-Dimensional $L^1pTV$ Minimization, For $0< p\leq 1$." COAP Vol. 61(3). PDF
  • Matthew B, Rudd and HVD, "Median Values, 1-Harmonic Functions, and Functions of Least Gradient." CPAA March 2013. PDF
  • HVD, Kevin R. Vixie, and Thomas J. Asaki, "Cone Monotonicity: Structure Theorem, Properties, and Comparisons to Other Notions of Monotonicity." Abstract and Applied Analysis. Vol 2013. Hindawi Pub. Corp., 2013. PDF
  • HVD, "A Study of $p$-Variation and the $p$-Laplacian for $0< p\leq 1$ and Finite Hyperplane Traversal Algorithms for Signal Processing." Dissertation May 2013. PDF

Linear Algebra

This course provides tools that are useful in physics, engineering, natural sciences, economics and social sciences, and further study in mathematics. Topics include systems of equations, vector and vector spaces, linear operators, basis, change of basis, invertible matrix theorem, determinants, eigenvalues, and eigenvectors.

Below are links for this course (Be sure to refresh the page)

Exams

  • The Final Exam is: Wednesday May 8

Past Exams

Book Chapters:

Homework:

Be sure to ask me questions in advance.
  • Read Chapter 16 and do exercises 1-9 (Due Friday March 22 at the start of class)
  • Chapter 16 exercises 9-18 (Due Monday April 1 at the start of class)
  • Read Chapter 17 and do exercises 1-46 e.o.e(Due Friday April 5 at the start of class)
  • Chapter 17 exercises 1-46 e.o.o. (Due Monday April 8 at the start of class)
  • Read Chapter 17 and do exercises 1-46 e.o.e(Due Friday April 5 at the start of class)

Past Homework

  • Read Chapter 14 and do exercises 1,2,5,7,8,9,11,12,14,15,16(Due Monday 11 at the start of class)
  • Read Chapter 12 and do exercises 1-11(Due Friday March 8 at the start of class)
  • Read Chapter 10 and do exercises 1,3,4,6(Due Monday March 4 at the start of class)
  • Read Chapter 9 and do exercises 1-3,11-19,27,29(Due Monday February 25 at the start of class)
  • Redo Exam 1(Due Friday February 22 at the start of class)
  • Read Chapter 8 and do exercises 1,7,9,11,13(Due Monday February 18 at the start of class)
  • Read Chapter 7 and do exercises 1,6,7,8,10,22,23,24,26,27(Due Monday February 11 at the start of class)
  • Read Chapter 6 and do exercises 12,14,15,22,36,45,49,50 (Due Friday February 8 at the start of class)
  • Use Chapter 5 to do exercises 15,17,20,22,25,27 (Due Monday February 4 at the start of class)
  • Read Chapter 5 and do exercises 2,3,5,8,9,11(Due Friday February 1 at the start of class)
  • Read Chapter 4 and do exercises 1,3,4,6-12,14 (Due Wednesday January 30 at the start of class)
  • Read Chapter 3 and do exercises 1-14 (Due Monday January 28 at the start of class)
  • Read Chapter 2 and do exercises 1-12 (Due Wednesday January 23 at the start of class)
  • Read Chapter 1 and do exercises 1-7 (Due by email on Wednesday January 16th at noon)

Preparation for Linear Algebra (Math 290 Students Only)

Course Links

Notes

  • Notes for 1.1 and 1.2 are here
  • Notes for 1.5 and 1.6 are here

Homework

These problems come from the textbook.
  • 1.8: 2,4,6,8,9,10,12,14,16[Due Wednesday March 13]
  • 1.9: 2,4,6,7,8,9,10,12,17,18[Due Wednesday March 13]
  • 1.10: 1,4,6,9,10[Due Wednesday March 20]
  • 2.1: 2,4, 6,8,16[Due Wednesday April 3]
  • 2.2: 2,3,4,6,9,10[Due Wednesday April 3]

Past Homework

  • 1.7 2,6,8,12,14,18,20, 21,22,23-26 [Due Wednesday February 20]
  • 1.6: 2, 4, 5, 7, 8, 12, 14 [Due Wednesday February 13]
  • 1.5: 4, 6, 10, 11, 12,16,19,23,24,29-32 [Due Wednesday February 6]
  • 1.3:2, 4, 6, 8, 10, 12, 14, 18, 20, 22;1.4: 4, 6, 8, 12, 14, 20, 22, 30 [Due Wednesday Jan 30]
  • 1.1: 2, 4, 6, 10, 16, 18,22, 25,30; 1.2: 2, 4, 14, 18, 23,24,33 [Due Wednesday Jan 23]

Calculus 3

This course provides students with the tools to perform calculus on functions of several variables. This is the third course in a three‐course sequence. This class is intended for students in engineering, mathematics, and the sciences. Topics include vector algebra and geometry; functions of several variables; partial and directional derivatives; the gradient; the multivariable chain rule; optimization; multiple and iterated integrals; parametric curves and surfaces in 3‐dimensions; vector fields; divergence and curl; line and surface integrals; Green’s theorem; Stokes’ theorem; and the divergence theorem.

Below are links for this course (Be sure to refresh the page)

Exams

  • Exam 3 is coming soon: April 16
  • The Final Exam is: Wednesday May 8

Past Exams

Homework

Be sure to ask questions in advance. I will not take questions the evening before the homework is due. *Do these, with clear work and explanations. The others are for practice, but I will expect you know them.

Past Homework

  • Homework 22 (Due March 18 at the beginning of class)
  • Homework 21 (Due March 12 at the beginning of class)
  • Homework 20 (Due March 11 at the beginning of class)
  • Homework 19 (Due March 7 at the beginning of class)
  • Homework 18 (Due March 5 at the beginning of class)
  • Homework 17 (Due March 4 at the beginning of class)
  • Homework 16 (Due February 27 at the beginning of class)
  • Homework 15 (Due February 26 at the beginning of class)
  • Homework 14 (Due February 25 at the beginning of class)
  • Homework 13 (Due February 21 at the beginning of class)
  • Homework 12 (Due February 20 at the beginning of class)
  • Homework 11.5: 1. Write the topics you expected on the exam. 2. Redo the exam with clear explanations. 3. Make an appointment with me to talk about your plan for the class. [Due Tuesday February 19]
  • Homework 11 (Due February 13 at the beginning of class)
  • Homework 10 (Due February 12 at the beginning of class)
  • Homework 9 (Due February 11 at the beginning of class)
  • Homework 8 (Due February 7 at the beginning of class)
  • Homework 7 (Due February 5 at the beginning of class)
  • Homework 6 (Due February 4 at the beginning of class)
  • Homework 6.5 (Due February 4 at the beginning of class)
  • Jan 28 In Class assignment
  • Homework 5 (Due January 30 at the beginning of class)
  • Homework 4 (Due January 29 at the beginning of class)
  • Homework 3 (Due January 28 at the beginning of class)
  • Homework 2 (Due January 24 at the beginning of class)
  • Jan 23 In Class assignment
  • Homework 1 (Due January 23 at the beginning of class)
  • Jan 17 In Class assignment
  • Jan 16 In Class assignmentSome Notes
  • Jan 15 In Class assignment
  • Jan 14 In Class assignment

Partnering With Industry

This course will link students with industrial partners in our community. The course will strenthen skills necessary for success as a mathematician in non academic careers.

Below are links for this course (Be sure to refresh the page)

The Math 490 professor is Dr. Tom Asaki.

Class Agenda Links

Task List and Helpful Examples

First Day Stuff

Code and/or other links

Differential Geometry

In this class, students will get an introduction in the area of differential geometry. By the end, students should know the basic theory and notation. Students should also know how to do computational tasks in differential geometry.

Below are links for this course (Be sure to refresh the page)

Homework

(Check this regularly. I like adding to this list.):
  • Homework 2: Read Ch 1 Sections 7. Do: 1.7: 1, 2, 3, 4,5,6,8,10,11 [Due Friday February 15]

Past Homework

  • Homework 2: Read Ch 1 Sections 5,6. Do: 1.5:1,2,3,5,7,9,10; 1.6:1, 4, 5,7,8 [Due Wednesday Jan 30]
  • Homework 1: Read Ch 1 Sections 1-4. Do: 1.1: 1,4; 1.2: 1,3,4,5; 1.3: 1-5;1.4:1,3,4,9 [Due Wednesday Jan 23]

Info For Reasearch Students

This is the page to find out what my students have done (this will come later) and if you are my student, what I expect this week.

Below are links and info

Links: