My office is 4106 Harris Hall and Zoom! In Spring 2025 I am teaching Linear Algebra (MATH 310) and Graphs and Algorithms (MATH 356).

Resources for Linear Algebra (MATH 310):

• 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,
• Homework (with due dates):
  (h01) Sec. 1.1: #1,2,4,6; Sec. 1.2: #1,2,7,13 (1/23),
  (h02) Sec. 1.3: #1,2,4,6; Sec. 2.1: #9,10 (1/30),
  (h03) Sec. 2.2: #1,2,5,6; Sec. 2.3: #1,3,4 (2/5),
  (h04) Sec. 2.4: #1,2,3,4,5,8,12 (2/12)
  (h05) Sec. 2.5: #1,2,4,6,7,10,11,15,22,23 (2/19)
  (h06) Sec. 2.6: #5,6,9,12; Sec. 2.7: 1,2,5 (2/26)
  (h07) Test 1 Review (3/6)
  (h08) Sec. 3.1: #4,5; Sec. 3.2: 1,2,12,15 (3/20)
  (h09) Sec. 3.4: #1,5,11,13,16,38; Sec. 3.5: #1,2 (3/27)
  (h10) Sec. 4.1: #3; Sec. 4.2: #1,3,5 (4/3)
  (h11) Sec. 4.4: #2, 13; Sec. 5.1: #9,13,14,15,16 (4/10)
  (h12) Sec. 6.1: #1,3,4,6,14,15,24,27 (4/17)
  (h13) SVD! (4/24)
  (h14) Test 2 Review (5/1)
  

Resources for Graphs and Algorithms (MATH 356):

• 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) h01 (1/23),
  (h02) h02 (1/30),
  (h03) Sec. 1.1: #1,2,4,8 (2/6),
  (h04) Sec. 1.1: #5; Sec. 1.2: #1,2 (2/13),
  (h05) Sec. 1.3: #1,2 (2/20)
  (h06) Sec. 1.4: 1(i)(ii)(iii),2,3; Sec. 1.5: 1,6 (2/26)
  (h07) Test 1 Review (3/6)
  (h08) Sec. 1.6: 1,2,3,7,8,10,12 (3/25)
  (h09) Sec. 2.3: 1,2,3,4,5 (4/1)
  (h10) Sec. 2.3: 8,9,11 (4/8)
  (h11) Sec. 2.3 Algorithms (4/15)
  (h12) Network Flow Algorithm (4/24)
  (h13) Test 2 Review (5/1)
  

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.