Probability with Martingales; Kushal Gurrapu (undergraduate) and Shashank Ravichandran (graduate)
Probability with Martingales, by David Williams.
Intro to Machine Learning; Aditya Bajoria (undergraduate) and Shashank Ravichandran (graduate)
The Elements of Statistical Learning: Data Mining, Inference, and Prediction, by Trevor Hastie & Robert Tibshirani & Jerome Friedman.
Ordinary Differential Equations with Applications in Evolutionary Game Theory; Jonathan Ma (undergraduate) and Jake Wyngaard (graduate)
Ordinary Differential Equations, by Vladimir Arnold.
Graph Theory; Hayden Taylor (undergraduate) and Priyakshi Nath (graduate)
Graph Theory, by Adrian Bondy & U.S.R. Murty. (Slides)
Alephs and the Von Neumann Universe (feat. ordinals); Ben Thoburn (undergraduate) and Gabe Johnson (graduate)
Elements of Set Theory, by Herbert B. Enderton.
Contemporary Abstract Algebra; Shawn Fridas (undergraduate) and Caleb Phillips (graduate)
Probability with Martingales, by Joseph Gallian.
Game Theory; Om Patel (undergraduate) and Gianluca Gisolo (graduate)
Differential k-Forms, De Rham Complexes, and Applications to Vector Calculus; Ansh Desai (undergraduate) and MJ Cicchinelli (graduate)
An Introduction to Manifolds by Loring Tu. (Slides)
Fourier analysis and signal processing; Joshua Arnold (undergraduate) and Jimmy Chen (graduate)
Fourier analysis: An introduction, by Elias M. Stein & Rami Shakarchi. (Slides)
Introductory linear algebra and complex numbers; Alexander Hutchinson (undergraduate) and Segun Daramola (graduate)
Higher structure in cohomology with applications to data science; MJ Cicchinelli (undergraduate) and Niko Schonsheck (postdoc)
Algebraic Topology by Allen Hatcher and Persistent Cup Length.
Different approaches to modeling population dynamics; Anu Buddhikot (undergraduate) and Arnab Roy (graduate)
An Introduction to Mathematical Population Dynamics: Along the Trail of Volterra and Lotka, by Mimmo Iannelli and Andrea Pugliese. (Slides)
Elementary number theory and RSA encryption; Owen Blume (undergraduate) and Vishal Gupta (graduate)
Elementary Number Theory, by David Burton. (Slides)
Mathematical formalism of Markov chains; Jan Ahmed (undergraduate) and Marydol Soto-Santarriaga (graduate)
Introduction to Probability Models, by Sheldon Ross. (Slides)
Probability, random processes, and Markov chains; Chinmay Agrawal (undergraduate), Ansh Desai (undergraduate), and Gitansh Dandona (graduate)
Introduction to Probability Models, by Sheldon Ross. (Slides)
Applications of differential equations and nonlinear dynamics; Aditya Bajoria (undergraduate) and Jimmy Chen (graduate)
Nonlinear Dynaamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering by Steven Strogatz.
Completely positive maps in linear algebra; Olivia Deoudes (undergraduate) and George Baziotis (graduate)
Introduction to probability theory and Markov chains, Madison Jackson and Gitansh Dandona
Probability Theory: A Concise Course by Y. A. Rozanov. Final project on the Monty Hall problem.
Combinatorial pursuit games on graphs, Juan Barbecho and Niko Schonsheck
The Game of Cops and Robbers on Graphs by Anthony Bonato and Richard J. Nowakowski. Final project on the proof that planar graphs have cop number less than or equal to three.
Mathematical details of concepts from economics , Kelly Parramore and Tyler O'Grady
Fundamental Methods of Mathematical Economics by A. Chiang and K. Wainwright. (Slides)
Introduction to knot theory and algebraic topology, Mario Cicchinelli and Jerome Roehm
The Knot Book by Colin Adams. (Slides)
Ordinary and partial differential equations for environmental science, Yuanmo Liu and Mohammad Pourhassansangari
Introduction to Applied Mathematics for Environmental Science by David F. Parkhurst. Final project on pollution in a flowing river. (Slides)
Covariance matrices and applications to risk management, Muhideen Ogunlowo and Vladislav Taranchuk. (Slides)
Applied Regression Analysis and Generalized Linear Models by John Fox
Gamma functions and associated integration techniques, Daniel Bowers and Shuya Yu.
Table of Integrals, Series, and Products, by Daniel Zwillinger and Alan Jeffrey
Model for tear film thinning with osmolarity and fluorescien, Schuyler Brennan and Mary Taranchuck. (Slides)
Introductory group theory with a focus on geometric examples, Jacob Letnaunchyn and Jerome Roehm.
An inquiry based approach to abstract algebra by Dana Ernts
Markowitz model of portfolio optimization and basic properties of discrete random variables., Andrew Kallai and John Byrne. (Slides)
Investment Science by David Luenberger
Studying group theory and investigating sequences in the Calkin Wilf Tree. (Slides)
Studying the basics of group theory, including permutation groups, dihedral groups, and Lagrange's Theorem. Also discussed the subject's history and development.
Studying graph theory and applications of binary trees. Learning about spanning trees and minimum spanning trees. (Slides)
Studying number theory and its application to RSA encryption. (Slides)