Rundell Homework Solutions

If you haven’t heard of crypto currency, the blockchain, or even bitcoin or ethereum, it’s time to do some homework.  Everything we know about how we exchange value on this planet could be revolutionized before most of us even know what these terms mean.

Being around exceptional founders can be invigorating.  Interviewing them the night before their token sale is electrifying.  So when interviewing, TenX, arguably one of cryptocurrencies most promising startups, the night before their token sale, all of a sudden Bitcoins, Kitesurfing, and Bruce Lee don’t seem all that different. Trailblazers, web 3.0 pioneers, innovators – these are just a few words to describe the interview with TenX co-founder Julian Hosp— just hours before the launch of the their token sale.

StarterNoise co-founder, Sarah Koebel and contributing author, Derek Rundell interviewed Julian Hosp on Friday, June 23rd 2017.

Cryptocurrency, for those of you who haven’t done your homework yet, is basically digital money.  TenX solves everyone’s cryptocurrency problem by letting us actually spend the currency (without most of the hassles). Want to go buy that cup of coffee, new bike, or purchase tickets to that next concert—they have you covered.

Over the past few months we’ve seen a number of TenX videos, read up on articles, and became familiar with Julian and the other badass team members.  Yet, we were still totally blown away and extremely impressed when interviewing him.  His passion, knowledge and vision for this space and what TenX is doing is infectious.

Formally trained as a Medical Doctor, he entered the crypto scene after a patient told him about bitcoin and how it was going to disrupt they way we exchange currency. Intrigued by the conversion—Julian jumped into the space full speed ahead.

After researching the market, Julian and his co-founders saw problems within the financial eco system and decided that providing the solutions could be a huge opportunity—so they formed TenX. Providing the ability to easily pay for things using crypto currency is a tremendous opportunity for TenX.  Equally important is the ability to provide services to the underserved and unbanked, which is not only a great market opportunity but also personally rewarding.

“Be As Water My Friend”—yes, Julian did indeed quote Bruce Lee (huge fan), and what a great way to answer our question as to how we should react to all the changes in blockchain technology. Because, let’s be honest—all of the new data, information, white papers, youtube tutorials, let alone the ramifications of what is and might be happening—is a little overwhelming.

And this is where my (Derek’s) fanboy crush became obvious—not only did Julian quote Bruce Lee, but he told me he was a pro kitesurfer.  Very cool.

As for TenX, is this going to be the largest token sale this month? This year? Ever? How much will they raise? How will it be adopted on a global level?

As I discussed with Julian, he stated that, although it’s pretty amazing to have the opportunity to raise money, TenX’s goal is to be an example for other Token Sales through success, security, and transparency.

Clearly this startup is ready to take on the great unknown and is encouraging everyone to learn from them and continue to evolve and improve the success of this eco system.

Several things are certain. First, we are entering a time where new business models fueled by great visionaries and new technologies are revolutionizing almost every facet of life on earth. Second, the blockchain, cryptocurrency, and digital assets have the potential to revolutionize almost everything.  Third, spending time with people trying to change the world in a positive manner is truly inspiring.

The Takeaway

We are very excited for the TenX team and everything they have worked so hard for.  It’s almost time for their Token Sale to begin. We can’t wait to see how the next 24 hours (and beyond) work out for this talented, passionate, and cutting-edge team. We’ll follow up and update this article as their journey continues!  Tell us your thoughts and tweet to @starternoise, use hashtag #cryptotrailbalzers!

Derek Rundell

Derek Rundell, is a successful business leader, operator, and serial entrepreneur.Derek has founded, managed and sold businesses in the technology, media and finance industries.He sits on several boards and serves as an advisor/investor to numerous established businesses and startups. Startups are Derek's real passion, and in addition to building his own portfolio of technology, media and financial ventures, he invests in and mentors startups and entrepreneurs. He is passionate about sharing his knowledge and helping other businesses succeed.

Latest posts by Derek Rundell (see all)

Sarah Koebel

Co-Founder at StarterNoise

In search of the next big thing? Just look to Sarah, our resident expert on the coolest trends, from fitness apparel to cocktails. A visionary leader for Tulip Strategies, Sarah has a hawk’s eye for spotting upcoming trends and creating viral marketing campaigns.

Latest posts by Sarah Koebel (see all)




BitcoinBlockchainCryptocurrencyDerek RundellSarah KoebelTenX

Research Statement         CV         Teaching Statement

Isaac Harris, Ph.D.

Texas A&M University 3368 TAMU College Station, TX 77843-3368

Department of Mathematics

Office: Blocker 621A
iharris [AT] -or- iharris [AT]

I graduated from The University of Delaware with a Ph.D. in Applied Mathematics under the advisement of Fioralba Cakoni in August 2015. I am currently at Texas A&M University where I am a Visiting Assistant Professor continuing my research in Inverse Problems and Scattering Theory with my mentor Bill Rundell. Here are links to my CV and Google Scholar page. In August of 2018 I will be joining the Department of Mathematics at Purdue University as an Assistant Professor.

Some Updates:

  • Referee, for the Journal of Computational Physics as of Febuary 2018
  • Referee, for Communications in Mathematical Sciences as of August 2017
  • Referee, for Inverse Problems as of August 2017
  • Referee, for the Journal of Computers and Mathematics with Applications as of June 2017
  • Referee, for the SIAM Journal on Imaging Science as of November 2016
  • Referee, for the Journal of Computational and Applied Mathematics as of July 2016
  • Referee, for the SIAM Journal on Mathematical Analysis as of January 2016
  • Invited to the Theory and Numerics of Inverse Scattering Problems Workshop at Oberwolfach in Sept 2016
  • I was invited as a United States Junior Oberwolfach Fellow (slides)
  • Invited Talk at the Post-Doc Seminar, IMA Minneapolis MN, December 2016
  • Invited Mini-Symposium Spreaker at the SIAM CSE Conference in Atlanta GA, Febuary/March 2017
  • I recieved the NSF-SIAM Early Career Travel Award to attend the meeting (slides)
  • Talk at the Texas DE Conference at TAMU, March 2017 (slides).
  • Invited Spreaker at the University of Houston's PDE Seminar, April 7th 2017 (slides)
  • Invited Mini-Symposium Spreaker at Applied Inverse Problems, Hangzhou China, May/June 2017
  • Invited Mini-Symposium Spreaker at the SIAM Annual Meeting, Pittsburgh PA, July 2017
  • I am giving a talk in the PDE Seminar at the University of Houston - Math Dept. (slides)
  • I am giving a Special Colloquium talk at Purdue University - Math Dept. (slides)
  • Invited AMS Special Section Spreaker at the Joint Math Meeting, San Diego CA, January 2018
  • Invited Special Section Spreaker at the SIAM Annual Meeting, Portland OR, July 2018



My research interests are in direct and inverse problems for PDEs, especially those arising in acoustic and electromagnetic scattering. I have been working on the inverse scattering problem of non-destructive testing for defects in complex media and parameter identification for periodic media. My research employs techniques from a multitude of areas in mathematical analysis, such as: Functional analysis, Analysis of PDEs, Numerical and Asymptotic methods.

This figure is the cover image for Inverse Problems Volume 31 Number 2.
Reconstructions of circular cavities in an Anisotropic material via the factorization method.

EIT Reconstruction of an inclusion and the impedance function via the linear sampling method.

Research Interests:

  • Direct and Inverse Scattering
  • Transmission Eigenvalue Problems
  • Inverse Problems for (Fractional) Diffusion
  • Qualitative Reconstruction Methods
  • Electrical Impedance Tomography
  • Inverse Spectral Problems
  • Homogenization and Asymptotic Analysis

    Research Papers in Refereed Journals:

  • F. Cakoni, I. Harris and S. Moskow "The Imaging of Small Perturbations in an Anisotropic Media".
  • Computers and Mathematics with Applications Volume 74, Issue 11, 2017 2769-2783 (arXiv:1702.06058)
  • L. Hoeltgen, I. Harris, A. Kleefeld and M. Breuss "Analytic Existence and Uniqueness Results for PDE-Based Image Reconstruction with the Laplacian"
  • Scale Space and Variational Methods in Computer Vision (2017), 66-79. Lecture Notes in Computer Science Volume. 10302 Springer
  • I. Harris and S. Rome "Near field imaging of small isotropic and extended anisotropic scatterers".
  • Applicable Analysis Volume 96, No. 10, 2017 1713-1736 (arXiv:1601.02993)
  • O. Bondarenko I. Harris, and A. Kleefeld "The interior transmission eigenvalue problem for an inhomogeneous media with a conductive boundary".
  • Applicable Analysis Volume 96, No. 1, 2017 2-22 (arXiv:1510.01762)
  • F. Cakoni, H. Haddar, and I. Harris "Homogenization of the transmission eigenvalue problem for periodic media and application to the inverse problem".
  • Inverse Problems and Imaging Volume 9, No. 4, 2015, 1025–1049 (arXiv:1410.3729)
  • F. Cakoni and I. Harris "The factorization method for a defective region in an anisotropic material".
  • Inverse Problems, 31 025002 (2015) (arXiv:1410.3737)
  • I. Harris, F. Cakoni, and J. Sun "Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids".
  • Inverse Problems, 30 035016 (2014) (Preprint)

    Other Publications:

  • I. Harris “Parameter identification for complex materials using Transmission Eigenvalues”.
  • Oberwolfach Report, No. 45 (2016) 46-48. Extended Abstract for the workshop: Theory and Numerics of Inverse Scattering Problems
  • I. Harris "Non-Destructive Testing of Anisotropic Materials". University of Delaware, Ph.D. Thesis (2015)

  • Papers in Preparation or Submitted:

  • I. Harris "Detecting an inclusion with a generalized impedance condition from electrostatic data via sampling" (Submitted) (arXiv:1708.03203)
  • I. Harris and A. Kleefeld "The inverse scattering problem for a conductive boundary condition and transmission eigenvalues". (Submitted) (arXiv:1608.07560)
  • L. Hoeltgen, A. Kleefeld, I. Harris and M. Breuss "Theoretical Foundation of the Weighted Laplace Inpainting Problem" (Submitted) (arXiv:1801.09068)
  • I. Harris and W. Rundell "A direct method for reconstructing inclusions and boundary conditions from electrostatic data" (Under Preparation) (arXiv:1704.07479)
  • I. Harris and W. Rundell "Recovering sources from time trace measurements for the (fractional) heat equation" (Under Preparation-Working Title)
  • I. Harris "The direct and inverse problem for the fractional heat equation in a domain with an impedance subregion" (Under Preparation-Working Title)

Teaching Spring 2018

I am teaching MATH 308-Differential Equations at TAMU Section 518

510 Lecture: MW - Blocker 133 at 4:10 - 05:25pm
Office Hours: MW 3:00-4:00 pm am or by appointment

Math 308 Syllabus.

Math Department course schedule. This course may not follow schedule exactly. Here is the PDF for the departments help session schedule, 308 will be MWTh from 7:00-10:00pm in Bloc 148.

Class Description/Learning Objectives: Ordinary differential equations, solutions in series, solutions using Laplace transforms, systems of differential equations. Basic hand computational techniques are still covered in this course, but perhaps not with the same emphasis as in the past. Students should be shown how to solve differential equations using the computer (both symbolically and numerically) and be expected to solve a modeling or applications problem/project where the computer is needed to complete the solution.

Homework 1 on Linear, Seperable and Exact 1st order equations.

Solutions to Quiz 1 on Linear, Seperable and Exact 1st order equations.

Homework 2 on the Uniqueness Theorems and Autonomous Equations. (Solu)

Solutions to Quiz 2 on Autonomous 1st order equations and the Uniqueness Theorem.

Homework 3 on the Linear Independance, Homogeneous 2nd order equations. (Solu)

Homework 4 2nd order equations continued with Reduction of order, Undetermined coefficents. (Solu - 2b correction)

Solutions to Quiz 3 on Linear Independance, 2nd order homogeneous equ's with constant coeff.

Exam 1 Topics: (Solu)

-1st order equ's: Linear, Separable and Exact

-2nd order equ's: Homogeneous with constant coefficient and Reduction of order

-Initial and Boundary Value problems

-Filtration Problems

Homework 5 on Undetermined coefficents and Variation of parameters. (Solu)

Solutions to Quiz 4 on Undetermined Coefficents.

Homework 6 on Variation of parameters and the definition of the Laplace Transform. (Solu)

The first MATLAB (Extra Credit) assignment is due 3/21 to replace lowest quiz grade.

Here is a table of basic Laplace Tranforms.

Homework 7 on the Laplace Transform for IVPs. (Solu)

Last Updated: 3/8/18

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