(Copyright © Ivan G. Avramidi)

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Ordinary Differential Equations MATH 335)

• Basic Formulas of Ordinary Differential Equations

• Lecture Notes on Ordinary Differential Equations (2010)

Vector Analysis (MATH 332)

• Lecture Notes on Vector Analysis (2017)

• Basic Formulas of Vector Analysis

• Basic Formulas for Vector and Tensor Analysis 

• Notes on Tensors (elementary)

• Notes on Differential Forms (elementary), (2017)

Abstract Mathematics (MATH 352)

• Lecture Notes on Basic Concepts of Mathematics (2019)

Analysis (MATH 372, MATH 435)

• Lecture Notes on Basic Concepts of Analysis (2004)

• Lecture Notes on Complex Analysis (2021)

• Lecture Notes on Complex Analysis (2009)

Differential Geometry (MATH 442, MATH 542)

• Lecture Notes on Differential Geometry (2019)

• Lecture Notes on Topics in Differential Geometry (2019)

• Notes on Linear Algebra and Vector Analysis (2004)

• Notes on Differential Forms (2003)

• Notes on Spinors (2019)

• Notes on Riemannian Geometry and Lie Groups (2010)

• Notes on Lie Groups (2000)

• Notes on Lie Groups SO(3) and SU(2) (2011)

• Notes on Lie Algebra SL(2,C) (2010)

• Notes on Heisenberg Algebra (2013)

Mathematical Physics (MATH 535, MATH 536)

• Lecture Notes on Mathematical Physics II (2021)

• Lecture Notes on Mathematical Physics I (2020)

• Lecture Motes on Mathematical Physics (2013)

• Lecture Notes on Mathematical Foundations of Quantum Mechanics (20014)

• Notes on Asymptotic Expansions (2000)

Quantum Field Theory

• Lecture Notes on Quantum Field Theory (2016)

• Notes on Problems of Quantum Gravity (2012)

• Notes on Fock Space (2022)

• Notes on Special Relativity and Quantum Fields (2000)

• Notes on Effective Action Approach in Quantum Field Theory (2001)

Financial Mathematics

• Lectures on Heat Kernel Applications in Finance (2007)