Spring 2026

• Algebraic Geometry

  Downloads
  • Algebraic Geometry Notes

• Brownian Motion & Stochastic Calculus

  Downloads
  Texts
  • Continuous Martingales and Brownian Motion, by Daniel Revuz and Marc Yor
  • Brownian Motion, Martingales, and Stochastic Calculus, by Jean-François Le Gall
  • Brownian Motion & Stochastic Calculus, by Ioannis Karatzas and Steven E. Shreve
  • Stochastic Processes, by Richard F. Bass
  • Probability: Theory and Examples, by Richard Durrett
  • Stochastic Processes, by Bernt Øksendal
  • Stochastic Calculus Lectures, by Fabrice Baudoin (via website)

• Junior Paper

  Downloads

• Inverse Theory

  Downloads

• Fourier Analysis and Hilbert Spaces

  Downloads

• Mathematical Theory of Fluid Dynamics

  Downloads

Fall 2025

• Fitting Smooth Functions to Data (MAT 429)

  Downloads
  • MAT 429 Notes

• Analytic Number Theory (MAT 415)

  Downloads
  • MAT 415 Notes

• Optimal Control (MAE 546)

  Downloads
  • MAE 546 Notes

• Junior Sem

  Downloads

Summer 2025

• Tromp Research

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Spring 2025

• Measure Theory (MAT 425)

  Downloads
  • MAT 425 Notes
  Texts
  • Real Analysis, by Elias Stein and Rami Shakarchi
  • Real and Complex Analysis, by Walter Rudin
  • Real Analysis (2nd Edition), by Halsey Royden
  • The Elements of Integration and Lebesgue Measure, by Robert Bartle
  • Measure Theory, by Paul Halmos
  • Real Analysis: Modern Techniques and Their Applications, by Gerald Folland

• Computational Geophysics (GEO 441)

  Downloads

• Coupled Earth System Dynamics (AOS 562)

  Downloads

Fall 2024

• Complex Analysis (MAT 335)

  Downloads
  • MAT 335 Notes
  Texts
  • Complex Analysis, by Elias Stein and Rami Shakarchi
  • Complex Analysis, by Lars Ahlfors
  • Visual Complex Analysis, by Tristan Needham
  • Real and Complex Analysis, by Walter Rudin
  • Complex Analysis, by Serge Lang

• Algebra I (MAT 345)

  Downloads
  • MAT 345 Notes
  Texts
  • Algebra, by Michael Artin
  • Abstract Algebra, by David Dummit and Richard Foote
  • Contemporary Abstract Algebra, by Joseph Gallian
  • A Book of Abstract Algebra, by Charles Pinter

• Methods of Summation and Zeta(-1)

  Downloads
  • Methods of Summation and Zeta(-1)

Summer 2024

• Spivak Notes Unfinished

  Downloads
  • Spivak Notes and Solutions
  • Spivak Notes Only
  • Spivak Solutions Only
  Texts
  • Calculus on Manifolds, by Michael Spivak

Spring 2024

• Honors Linear Algebra (MAT 217)

  Downloads
  • MAT 217 Notes
  Texts
  • Linear Algebra Done Right, by Sheldon Axler
  • Linear Algebra, by Arnold Insel, Lawrence Spence, and Stephen Friedberg
  • Linear Algebra, by Kenneth Hoffman and Ray Kunze

• Probability and Stochastic Systems (ORF 309)

  Downloads
  • ORF 309 Notes
  Texts
  • Introduction to Probability Models, by Sheldon Ross
  • Fundamentals of Probability, by Saeed Ghahramani
  • A First Course in Stochastic Processes, by Samuel Karlin and Howard Taylor
  • Markov Chains, by J.R. Norris

Fall 2023

• Introduction to Single Variable Analysis (MAT 215)

  Downloads
  • MAT 215 Notes
  Texts
  • Understanding Analysis, by Stephen Abbott
  • Principles of Mathematical Analysis, by Walter Rudin
  • Mathematical Analysis, by Tom Apostol
  • Real Mathematical Analysis, by Charles Pugh

• Abel's Theorem DRP Unfinished

  Downloads
  • Abel's Theorem DRP
  Texts
  • Abel's Theorem in Problems and Solutions, by V.B. Alekseev

Summer 2023

• Multivariable Calculus Reference Sheet

  Downloads
  • Multivariable Calculus Reference Sheet
  Texts
  • MIT 18.02 OCW