Certificates

These certificates are from the MOOCs I have completed. Due to the pay model shift away from "honor code" tracks by edX and Coursera, sometimes I use screenshots of scores as a replacement for the certificates of completion. There are a few dozen other courses I have taken partially (audited), some of the relatively completed ones are listed below without numbers.

There is some redundancy due to overlapping disciplines, courses that are listed more than once have asterisks *. I do not give separate completion numbers for sub-units of certificates and specializations unless they are half-semester or longer.


Subject Domains

Physical Sciences

Mathematics

Data Science

Engineering

Computer Science & Computational

Biological Sciences

Economics & Finance

Policy

Liberal Arts



Physical Sciences

Course Course Title Professor School Vendor S R Date
(1) CS191x Quantum Mechanics and Quantum Computation Umesh Vazirani Berkeley edX 3 3 4/2013
QTM2x The Hardware of a Quantum Computer QuTech Collaboration Delft edX 3 2 9/2020
(47) Exploring Quantum Physics Victor Galitski University of Maryland Coursera 4 2 7/2014
(74) Quantum Optics 1: Single Photons Alain Aspect, Michel Brune Ecole Polytechnique Coursera 4 3 5/2025
(74) Quantum Optics 2: Two Photons and More Alain Aspect, Michel Brune Ecole Polytechnique Coursera 4 2 6/2025
(59) 8.421.1x Atomic and Optical Physics I, Part 1: Resonance Wolfgang Ketterle M.I.T. edX 4 2 11/2015
(60) 8.421.2x Atomic and Optical Physics I, Part 2: Atomic Structure and Atoms in External Fields Wolfgang Ketterle M.I.T. edX 4 2 12/2015
(45) Statistical Mechanics: Algorithms and Computations Werner Krauth Ecole Normale Superieure Coursera 4 3 6/2014
(28) Statistical Molecular Thermodynamics Christopher Cramer University of Minnesota Coursera 3 3 4/2014
(3) 3.091x Introduction to Solid State Chemistry Michael Cima M.I.T. edX 2 3 6/2013
(15) Volcanic Eruptions: A Materials Science Donald Dingwell L.M.U. Munich Coursera 3 2 11/2013
(11) From the Big Bang to Dark Energy Hitoshi Murayama University of Tokyo Coursera 2 2 10/2013
(29) Galaxies and Cosmology George Djorgovski Caltech Coursera 3 2 4/2014
(51) Ay1001x The Evolving Universe George Djorgovski Caltech edX 2 2 7/2014
(38) 12.340x Global Warming Science Kerry Emanuel M.I.T. edX 2 3 5/2014
8.MReV Mechanics ReView David Pritchard M.I.T. edX 2 4 8/2013


Mathematics

Course Course Title Professor School Vendor S R Date
(37) Introduction to Functional Analysis John Cagnol Ecole Centrale Paris Coursera 4 2 5/2014
(40) Information Theory Raymond Yeung Chinese University of Hong Kong Coursera 4 3 6/2014
(41) Linear and Discrete Optimization Friedrich Eisenbrad Ecole Polytechnique Federale de Lausanne Coursera 3 2 6/2014
Street Fighting Mathematics Sanjoy Mahan M.I.T. edX 2 3 6/2014


Data Science

Google Data Analytics Certificate

Course Course Title Professor School Vendor Weeks S R Date
(71) (1) Foundations: Data, Data, Everywhere Google Google Coursera 5 1 2 5/2023
(71) (2) Ask Questions to Make Data-Driven Decisions Google Google Coursera 4 1 2 6/2023
(71) (3) Prepare Data for Exploration Google Google Coursera 5 1 2 6/2023
(71) (4) Process Data from Dirty to Clean Google Google Coursera 6 1 2 7/2023
(71) (5) Analyze Data to Answer Questions Google Google Coursera 4 1 2 7/2025

Computational Thinking using Python XSeries Program

Course Course Title Professor School Vendor Weeks S R Date
(72)* MITx 6.00.1x Introduction to Computer Science and Programming Using Python Eric Grimson, John Guttag M.I.T. edX 8 2 3 8/2023
(73)* MITx 6.00.1x Introduction to Computer Science and Programming Using Python Eric Grimson, John Guttag M.I.T. edX 8 2 3 12/2023


Engineering

Course Course Title Professor School Vendor S R Date
(34) Fundamentals of Electrical Engineering Don Johnson Rice Coursera 2 3 4/2014
(35) ELEC301x Discrete Time Signals and Systems Richard Baraniuk Rice edX 2 3 5/2014
6.02x Circuits and Electronics Anant Agarwal M.I.T. edX 2 3 1/2013
EECS149.1x Cyber-Physical Systems Edward Lee, Sanjit Seshia, Jeff Jensen Berkeley edX 3 3 6/2014
(36) SNU446.345.1x Robot Mechanics and Control I Frank Park Seoul National University edX 3 3 5/2014
Semiconductor Physics Wounjhang Park University of Colorado Boulder Coursera 4 3 9/2020
Nanosensors and Nanotechnology Hossam Haick Technion Coursera 3 2 6/2014
(63) nano521x Fundamentals of Nanoelectronics, Part B: Quantum Transport Supriyo Datta Purdue edX 4 1 12/2015
memsX Micro and Nanofabrication (MEMS) Juergen Brugger, Martin Gijs Ecole Polytechnique Federale de Lausanne edX 4 1 9/2020
ET3034TUx Solar Energy Arno Smets Delft edX 2 3 12/2014
(55) MIT3.032.1x Mechanical Behavior of Materials: Linear Elastic Behavior Lorna J. Gibson M.I.T. edX 2 3 10/2015
(58) MIT3.032.2x Mechanical Behavior of Materials: Stress Transformations, Beams, Columns, and Cellular Solids Lorna J. Gibson M.I.T. edX 2 3 11/2015
MIT16.101x Introduction to Aerodynamics David Darmofal, Alejandra Uranga M.I.T. edX 3 3 1/2014
MIT20.305x * Principles of Synethic Biology Ron Weiss, Adam Arkin M.I.T. / Berkeley edX 4 3 9/2020
(76) SourceCAD AutoCAD Essential for Beginners Jaiprakash Pandey SourceCAD SourceCAD 2 1 8/2025
(77) SourceCAD AutoCAD Electrical Essentials Scott Onstott SourceCAD SourceCAD 2 1 8/2025
(77) SourceCAD Designing A 3 Phase Motor Circuit in AutoCAD Electrical Scott Onstott SourceCAD SourceCAD 2 1 8/2025
(77) SourceCAD AutoCAD Electrical Complete Scott Onstott SourceCAD SourceCAD 2 1 8/2025
(78) SourceCAD Autodesk Inventor Complete Jarle Oudalstoel SourceCAD SourceCAD 2 1 8/2025
(79) SourceCAD SolidWorks Complete Jaiprakash Pandey SourceCAD SourceCAD 2 1 9/2025


Computer Science & Computational (*)

Course Course Title Professor School Vendor S R Date
(1)* CS191x Quantum Mechanics and Quantum Computation Umesh Vazirani Berkeley edX 3 3 4/2013
(45)* Statistical Mechanics: Algorithms and Computations Werner Krauth Ecole Normale Superieure Coursera 4 3 6/2014
(10)* Computational Molecular Evolution Anders Gorm Pedersen Technical University of Denmark Coursera 3 2 9/2013
(27)* Computational Neuroscience Rajesh Rao, Adrienne Fairhall University of Washington Coursera 3 2 3/2014
(42)* Dynamical Modeling Methods for Systems Biology Eric Sobie, Iman Tavassoly Icahn School of Medicine Coursera 4 2 6/2014
MIT6.001x Introduction to Computer Science and Programming Eric Grimson, John Guttag M.I.T. edX 2 3 1/2013
Compilers Alex Aiken Stanford Coursera 3 2 6/2014
EECS149.1x * Cyber-Physical Systems Edward Lee, Sanjit Seshia, Jeff Jensen Berkeley edX 3 3 6/2014
(* contains duplicates)


Biological Sciences

Course Course Title Professor School Vendor S R Date
(4) 3.091x Introduction to Biology Eric Lander M.I.T. edX 2 3 6/2013
(5) Introduction to Systems Biology Ravi Iyengar Icahn School of Medicine Coursera 4 2 6/2013
(18) Network Analysis in Systems Biology Avi Ma'ayan Icahn School of Medicine Coursera 3 2 11/2013
(42) Dynamical Modeling Methods for Systems Biology Eric Sobie, Iman Tavassoly Icahn School of Medicine Coursera 4 2 6/2014
(24) Bioinformatic Methods I Nicholas Provart University of Toronto Coursera 3 2 3/2014
(32) Bioinformatic Methods II Nicholas Provart University of Toronto Coursera 3 2 4/2014
(10) Computational Molecular Evolution Anders Gorm Pedersen Technical University of Denmark Coursera 3 2 9/2013
(20) Dinosaur Paleobiology Philip Currie University of Alberta Coursera 2 2 1/2014
(21) ANTH207x Introduction to Human Evolution Adam Van Arsdale Wellesley edX 3 3 1/2014
(62) BIOC372.1x Fundamentals of Immunology, Part 1 Alma Moon Novotny Rice edX 2 3 12/2015
(17) Virology I Vincent Racaniello Columbia Coursera 3 3 11/2013
(33) Virology II Vincent Racaniello Columbia Coursera 3 3 4/2014
(9) Programmed Cell Death Barbara Conradt L.M.U. Munich Coursera 3 3 9/2013
(50) Epigenetic Control of Gene Expression Marnie Blewitt University of Melbourne Coursera 3 3 7/2014
(22) MCB80.1x Fundamentals of Neuroscience, Part I David Cox Harvard edX 2 3 1/2014
(69) MCB80.2x Fundamentals of Neuroscience, Part II David Cox Harvard edX 2 3 12/2015
(57) BrainX Cellular Mechanisms of Brain Function Carl Petersen Ecole Polytechnique Federale de Lausanne edX 2 3 11/2015
(27) Computational Neuroscience Rajesh Rao, Adrienne Fairhall University of Washington Coursera 3 2 3/2014
(30) Statistical Analysis of fMRI Data Martin Lindquist Johns Hopkins Coursera 3 1 4/2014
(25) Astrobiology and the Search for Extraterrestrial Life Charles Cockell University of Edinburgh Coursera 2 2 3/2014
MIT20.305x Principles of Synethic Biology Ron Weiss, Adam Arkin M.I.T. / Berkeley edX 4 3 9/2020


Economics & Finance

Course Course Title Professor School Vendor S R Date
(13) Economics of Money and Banking, Part I Perry Mehrling Columbia Coursera 3 2 11/2013
(49) TW3421x Introduction to Credit Risk Management Pasquale Cirillo Delft edX 3 2 7/2014
(31) Financial Markets Robert Shiller Yale Coursera 2 2 4/2014
(23) Microeconomic Principles Jose Vazquez University of Illinois Coursera 2 2 2/2014
(44) Macroeconomic Principles Peter Navarro UC Irvine Coursera 2 2 6/2014
(46)* Understanding Economic Policymaking Gayle Allard I.E. Business School Coursera 2 2 6/2014
(53) Introduction to Financial Accounting Brian Bushee Wharton School Coursera 2 3 1/2014
Intuit Bookkeeping Academy Specialization
(75) Intuit Bookkeeping Academy: (1) Bookkeeping Basics N/A Intuit Coursera 2 2 7/2025
(75) Intuit Bookkeeping Academy: (2) Assets in Accounting N/A Intuit Coursera 2 2 7/2025
(75) Intuit Bookkeeping Academy: (3) Liabilities and Equity in Accounting N/A Intuit Coursera 2 2 7/2025
(75) Intuit Bookkeeping Academy: (4) Financial Statement Analysis N/A Intuit Coursera 2 2 7/2025


Policy

Course Course Title Professor School Vendor S R Date
(2) The Challenges of Global Poverty Abhijit Banerfjee, Esther Duflo M.I.T. edX 2 3 5/2013
(46) Understanding Economic Policymaking Gayle Allard I.E. Business School Coursera 2 2 6/2014
PH201x United States Health Policy John McDonough, et. al. Harvard edX 2 3 7/2014
(64) UT.4.20x Take Your Medicine: How to Be a Savvy Consumer Janet Walkow University of Texas at Austin edX 2 2 12/2015
(8) PH278x Human Health and Global Environmental Change Aaron Bernstein, John Spengler Harvard edX 2 2 8/2013
(70) UQx: Denial101x Making Sense of Climate Science Denial John Cook, et. al. University of Queensland edX 2 2 9/2016
(14) Introduction to Sustainability Jonathan Tonkin University of Illinois Coursera 2 3 11/2013
(56) BFV101.1x Science at the Polls: Biology for Voters, Part 1 Jasper Rine, Fyodor Urnov Berkeley edX 2 2 10/2015
(65) BFV101.2x Science at the Polls: Biology for Voters, Part 2 Jasper Rine, Fyodor Urnov Berkeley edX 2 2 10/2015
(6) A Look at Nuclear Science and Technology Larry Foulke University of Pittsburgh Coursera 2 2 8/2013
(19) 1.01x Energy 101 Michael Webber University of Texas edX 2 2 12/2013
(26) History and Future of (Mostly) Higher Education Cathy Davidson Duke University Coursera 2 1 3/2014
(61) INTL301x War for the Greater Middle East Andrew Bacevich Boston University edX 2 2 12/2015


Liberal Arts

Course Course Title Professor School Vendor S R Date
(7) ER22x Justice Michael Sandel Harvard edX 2 1 8/2013
(43) PHLX101-01 Introduction to Bioethics Margaret Olivia Little Georgetown edX 2 2 6/2014
(12) Introduction to Mathematical Philosophy Hannes Leitgeb, Stephen Hartmann L.M.U. Munich Coursera 4 1 8/2013
(16) Introduction to International Criminal Law Michael Scharf Case Western Reserve Coursera 3 3 8/2013
(67) Louv5x International Law Pierre d'Argent Louvain edX 3 3 1/2016
(39) HIST1514x American Capitalism Edward Baptist, Louis Hyman Cornell edX 3 2 5/2014
(52) Organizational Analysis Dan McFarland Stanford Coursera 4 3 7/2014
(48) Think101x The Science of Everyday Thinking Jason Tangen, Matthew Thompson University of Queensland edX 2 2 7/2014
(61) INTL301x War for the Greater Middle East Andrew Bacevich Boston University edX 2 2 12/2015
(68) ATG1.x From Goddard to Apollo: The History of Rockets, Part 1 Burton Dicht IEEE edX 1 1 1/2016


Sophistication and Rigor Levels

S and R levels are a threshold structure I invented to rank the relative difficulties of academic courses relative to similar curriculum. Sophistication levels S refer to the vertical scale of the content itself, which is reasonably well-defined for subjects requiring pre-requisite knowledge and skills. This loosely corresponds to two-year intervals within the universities.

Rigor levels R refer to the fact that the very same subject can be treated with different degrees of relative difficulty. Implicitly this means higher levels of R reflect superior proven mastery of the material. This is ranking how hard the evaluations are for the course level.




Sophistication Levels: (Content Difficulty)

S = 5: Specialist

S = 4: Graduate

S = 3: Upper Undergraduate

S = 2: Lower Undergraduate

S = 1: General / Popular


Rigor Levels: (Test Difficulty, Relative To Content)

R = 5: Extremely Difficult

R = 4: Very, Very Hard

R = 3: "Ivy League Hard"

R = 2: Moderately Difficult

R = 1: "Easy Class"


Roughly: (1) "too easy", (2) "respectable", (3) "solid", (4) "hard", and (5) "way too hard".