My office is 4106 Harris Hall and Zoom! In Spring 2024 I am teaching Discrete Optimization (OPER 731) and Advanced Linear Algebra (MATH 610).

Resources for Discrete Optimization (OPER 731):

• Syllabus
• Classroom Worksheets: c01, c02, c03, c04, c05, c06, c07, c08, c09, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26,
• Homework (with due dates):
  (h01) Sec. 1.2: #1,3,6,8; Sec. 1.3: #1,2,5,11 (1/24),
  (h02) Sec. 1.5: #1,2,3; Sec. 2.1: #1; Sec. 2.2: #1 (1/31),
  (h03) Sec. 2.4: #1,2,3,4,5; Sec. 2.5: #1 (2/7),
  (h04) Sec. 2.5: #2,5 (2/14)
  (h05) Sec. 2.8: #1,2,3,9,11 (2/21)
  (h06) h06 (2/28)
  (h07) Athena - computing homework (3/11)
  (h08) Sec. 3.1: #1; Sec. 3.2: #1; Sec. 4.1: #1 (3/13)
  (h09) h09 Athena - computing homework (3/18)
  (h10) Sec. 4.1: #3; Sec. 4.2: #2 (3/20)
  (h11) Sec. 4.3.1: #1,2,3 (3/27)
  (h12) Sec. 4.3.2: #1 (4/3)
  (h13) h13 Athena - computing homework (4/8)
  (h14) Sec. 5.3: #1 (4/10)
  (h15) Sec. 5.3: #2 (4/22)
  

Resources for Advanced Linear Algebra (MATH 610):

• Syllabus
• Classroom Worksheets: c01, c02, c03, c04, c05, c06, c07, c08, c09, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c25, c26,
• Homework (with due dates):
  (h01) Sec. 1A: #1,14,15; Sec. 1B: #1,6; Sec. 1C: #1,7,8,9,10,24. (01/23)
  (h02) Sec. 2A: #5,6,14,15; Sec. 2B: #5,8; Sec. 2C: #2,3,8,16. (01/30)
  (h03) Sec. 3A: #3,11,14; Sec. 3B: #1,3,9,16,17,28 (02/06)
  (h04) Sec. 3C: #3,4,5; Sec. #3D: #1,8,9,20 (2/13)
  (h05) Sec. 4: #2,4; Sec. 5A: #7,8 (2/20)
  (h06) h06 (2/29)
  (h07) Sec. 5.A: #13, 15, 16, 20, 21 (3/14)
  (h08) Sec. 8.A: #1, 2 (3/21)
  (h09) Sec. 8.A: #5,6 (3/28)
  (h10) Sec. 6A: #11,12,13; Sec. 6B: #1,4 (4/4)
  (h11) h11 (4/9)
  (h12) Sec. 6B: #5,9; Sec. 6C: #3,4 (4/11)
  (h13) Sec. 6C: #11; Sec. 6B: #15 (4/18)
  (h14) Sec. 6B: #16; 6C: #4, 14; 7A: #1,2 (4/25)
  (h15) h15 (5/2)
  

Resources for Conjecturing for Information Systems (INFO 790):

• Co-taught with Prof Paul Brooks. The syllabus and other materials are on Canvas.
• Classroom Worksheets: c01, c02, c03, c04, c05, c06, c07, c08, c09, c10,
• Examples and data:
  
  1. Titanic example script (i-Python/Sage file)
  2. Titanic example data (csv file)
  3. Example data for c07 worksheet(excel file)
  4. Python notebook script for c07 worksheet(i-Python/Sage file)
  5. Example data for c08 worksheet(excel file)
  6. Python notebook script for c08 worksheet(i-Python/Sage file)
  7. Python notebook script for c09 worksheet(i-Python/Sage file)
  8. Titanic example script with Precision and Lift (i-Python/Sage file)
  9. Essi example script with Precision and Lift (i-Python/Sage file)
  10. Titanic example script with Recall and F1 (i-Python/Sage file)
  11. Essi example script with Recall and F1 (i-Python/Sage file)

Resources for Sage & Cocalc:

• Sage Quick Reference,
• Graph Theory Quick Reference,
• Linear Algebra Quick Reference,
• Abstract Algebra Quick Reference,
• Calculus Quick Reference,
• Dynamics Quick Reference,
• Differential Equations Quick Start,
• Programming in Python,
• Computational Mathematics with SageMath book.
• Here is a blank hex paper, useful for drawing benzenoid graphs.
• The Cocalc (Sage Math Cloud) server, the program I use for Mathematical Computing (MATH 255).
• A Sage for Undergraduates Book by Gregory Bard (Here is an uncompressed pdf of the book).
• The Sage project website, with FAQs, downloads, and lots of information.
• Sage help videos by William Stein.
• Sage Quick Reference Cards.
• Rob Beezer's Linear Algebra in Sage
• William Stein's Sage for Power Users (pdf).
• SDSU Programming in Sage tutorial
• Code Academy Python tutorial. Codeacademy.com is a great place to dive in to learning programming languages. Sage is written in Python. So its a great idea to work through the Python tutorial.
• A good Khan Academy video Python tutorial.

Resources for Graph Theory

• House of Graphs, is a place to go to find information about a specific graph or class of graphs, and to add graphs that might be of interest to others.
• Grinvin is a free computer program that can be used to calculate invariants, generate graphs, and otherwise explore.
• Here's the House of Graphs app for putting in a graph and generating its graph6_string.
• An amazing resource for Graph Classes.

Good free Graph Theory books online:

• Diestel's Graph Theory (modern).
• Bondy and Murty's Graph Theory with Applications (classic).
• Wilf's Algorithms and Complexity (undergrad).

Graph Theory & Combinatorics in Sage/Cocalc:

• Nathan Cohens' Graph Theory in Sage
• Sage Combinatorics Tutorial
• William Stein Graph Theory in Sage video (Dr Stein is using the Sage notebook and not Sage Cloud - but most things are the same)

Other Stuff for Current Students:

• Bertrand Russell's Ten Commandments of teaching.

VCU Math Open-Source Texts Project:

• Richard Hammack, Book of Proof. pdf. order.
• Jim Hefferon, Linear Algebra, pdf. order.
• Thomas Judson, Abstract Algebra. pdf. order.
• John Cain & Angela Reynolds, Ordinary Differential Equations. pdf. order.
• Judith Roitman, Modern Set Theory. pdf. order.

Useful LaTeX links

• A VCU Math thesis template and required files.
• LaTeX in Sage Math Cloud VIDEOS. Very good videos for getting started with writing LaTeX documents in Sage.
• TeXshop. A very good (free) TeX editor and compiler for Mac.
• TeXnicCenter. A very good (free) TeX editor for Windows. (You still need MikTeX as the compiling "engine").
• MikTeX. The TeX compiler for Windows users (free).
• The Not So Short Introduction to LaTeX. A guide to LaTeX basics.
• Tikz Manual. A guide for making pictures directly in your TeX code.
• DeTeXify. Draw a math symbol and get the LaTeX code. You can also find Iphone and Android apps.
• LyX A freeware WYSIWYG LaTeX editor.

Thesis Students:

• Rayan Ibrahim, Ph.D. (co-advised with Allison Moore), Knots and Independence Number 2 Graphs, Summer 2024.
• Robert Jacobs, Ph.D., Paley Graphs, Prime Graphs and Crossword Puzzles, Summer 2024.
• Christopher Flippen, M.S., Minimal Sets, Union-Closed Families, and Frankl's Conjecture, Dec. 2023.
• Joshua Forkin, M.S., AUTOMATED CONJECTURING ON THE INDEPENDENCE NUMBER AND MINIMUM DEGREE OF DIAMETER-2-CRITICAL GRAPHS, May 2022.
• David Muncy, M.S., Automated Conjecturing Approach for Domination in Benzenoids, December 2016.
• Alex Bradford, M.S., Automated Conjecturing Approach to the Discrete Riemann Hypothesis August 2016.
• Michelle Grigsby, M.S., Independence and Horizontal Edges, December 2011.
• Andrew Bristow, M.S., Independent set Decision Problem is NP-Complete, August 2011.
• William Willis, M.S., Bounds for the Independence Number of a Graph, August 2011.
• Taylor Short, M.S., KE Theory and the Number of Vertices Belonging to all Maximum Independent Sets of a Graph, February 2011.
• Nisreen Bukhary, M.S., Domination in Benzenoids, May 2010.