Embedded Files
Instructor: Prof. INDIKA Rajapakse (indikar@umich.edu)
Teaching Assistant: RAM Prakash (nuvi@umich.edu)
Location: 2260 Undergraduate Science Building
Class Time: Tuesday and Thursday, 8:30 AM - 10:00 AM
Office Hours:
Indika R - Tuesday and Thursday , 4:00 PM - 5:00 PM: https://meet.google.com/dnm-zipr-tsb or in person after class
Ram P - Wednesday 3:00 - 4:00 PM Zoom and Friday 3:00 PM - 4:00 PM in person Room 3370, NCRC B520
Links
Topics and Timeline (Topics and Timeline subject to change without notice. Please check regularly)
Piazza (Please sign in and add yourself to the course if you have not already) and Course Feedback Form
Challenge Problem! This is from the book by Smale and Hirsch, Differential Equations, Dynamical Systems, and Linear Algebra. If you would like more challenging problems, please see the following paper.
Smale, Steve. "Mathematical problems for the next century." The mathematical intelligencer 20.2 (1998): 7-15.
Simplicity, Rigor, and Magic! and James Simons: My Guiding Principles
References of Interest
Claude Shannon: His famous paper and his thesis
MATLAB: 1) MATLAB Tutorial 2) Basic Functions Reference
Great book with codes: Cleve Moler. Numerical computing with MATLAB. Society for Industrial and Applied Mathematics, (2004), Solutions to Exercises
Digital Library and TwinCell Blueprint: An unofficial digital library I maintain that contains books and papers on topics related to my research and teaching
Jon Kleinberg's Book: Networks, Crowds, and Markets and Albert-László Barabási's Book: Network Science
NOTES, SLIDES, AND PAPERS
NOTES, SLIDES, AND PAPERS
Date: 09-01-2026
Date: 09-01-2026
Quote of the Day
"Optimism is the faith that leads to achievement. Nothing can be done without hope and confidence" ― Helen Keller
Introduction: Slides
Papers
Turing, Alan Mathison. "The chemical basis of morphogenesis." Philosophical Transactions of the Royal Society B: Biological Sciences, 370(1666), p.20140218. (Classic!)
Rajapakse I. "Conversation with Dr. Steve Smale and Dr. Lee Hartwell." NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 68 (9).
Date: 09-03-2026
Date: 09-03-2026
Quote of the Day
"Ideas only realize their power when people understand them" ― Small Worlds: The Dynamics of Networks between Order and Randomness (Book)
Notes
Networks: (1) Random, (2) Small-world, (3) Scale-free, (4) Ramanujan
Papers
Small World: Watts, Duncan J., and Steven H. Strogatz. "Collective dynamics of ‘small-world’networks." Nature 393.6684 (1998): 440-442.
Scale-free: Barabási, Albert-László, and Réka Albert. "Emergence of scaling in random networks." Science 286, no. 5439 (1999): 509-512.
Small World: Milgram, Stanley. "The small world problem." Psychology today 2, no. 1 (1967): 60-67.
GENERAL READING
GENERAL READING
I will add to this list throughout the semester
Strogatz SH. "Exploring complex networks." Nature. 2001 Mar;410(6825):268-76.
Hartwell, Leland H., et al. "From molecular to modular cell biology." Nature 402.6761 (1999): C47-C52.
Report abuse