My office is 4106 Harris Hall and Zoom! In Spring 2026 I am teaching Linear Algebra (MATH 310) and Advanced Linear Algebra (MATH 610).

Resources for Linear Algebra (MATH 310):

• Syllabus
• Code from our text.

• Classroom Worksheets: c01, c02, c03, c04, c05, c06, c07, c08, c09, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22,
• Homework (with due dates):
  (h01) h01 (1/22)
  (h02) h02 (1/29)
  (h03) h03 (2/5)
  (h04) h04 (2/12)
  (h05) h05 (2/19)
  (h06) h06 (2/26)
  (h07) h07 (3/5)
  (h08) h08 (3/24)
  (h09) h09 (3/31)
  (h10) h10 (4/7)
  

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, c24, c25, c26, c27, c28, c29, c30, c31, c32,
• Homework (with due dates):
  (h01) #P.A.1, P.A.3, P.A.6, P.A.7, P.A.11, P.B.2, P.C.3, P.C.13, P.D.5 (1/21)
  (h02) #P.1.2, P.1.3, P.1.8, P.1.12, P.1.13, P.1.27 (1/28)
  (h03) #P.1.32, P.1.39 P.1.41, P.1.44, P. 2.1, P.2.2, P.2.3, P.2.4, P.2.5, P.2.6 (2/6)
  (h04) #P.2.9, P.2.11, P.2.16, P.2.18, P.2.41, P.3.2, P.3.3 (2/13)
  (h05) #P.3.1, P.3.12, P.3.26, P.3.27, P.3.29 (2/20)
  (h06) #P.4.9, P.4.10, P.4.13, P.4.35, P.4.38 (2/26)
  (h07) h07 (3/6)
  (h08) #P.7.1, P.7.2, P.7.3, P.7.4, P.7.5, P.7.18,
  Find U in Ex.7.1.21 with v=(1/sqrt(2))(-i,1,0) (3/23)
  (h09) #P.8.6, P.8.20, P.9.2, P.9.9, P.9.10 (3/30)
  (h10) #P.9.1, P.9.4, P.9.9, P.9.13, P.9.14, P.9.21 (4/6)
  

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:

• NEWS: VCU math student is 2024 Virginia Teacher of the Year!
• NEWS: VCU's Math Circle has returned to action!
• 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), Problems in Graph Theory With Applications to Topology and Modeling RNA, 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.