Teaching

Graduate Curriculum

• Computer assisted proofs in nonlinear dynamics , This was a graduate workshop taught by myslef and J.P. Lessard at the Institute for Applied mathematics and Systems (IIMAS) in the Autonomous University of Mexico, Mexico City, the first week of August 2018. Videos, slides and some notes are available on the course webpage (link above).

• Ordinary Differential Equations (under development...), This is a course being developed by J.P. Lessard, J.B. van den Berg, K. Mischaikow,M. Gamiero, and myself. The goal of the course is to present basic theory, computational methods, and a-posteriori analysis for ordinaty differential equations in a unified way. Lecture notes for the course are under development. The course ran in the Spring of 2016 at FAU.

Current Courses at Florida Atlantic University

• Engineering Mathematical I: (MAP 3305), Spring 2022 (Also taught in Fall 2020, Fall 2018, Spring 2015)

• Modern Analysis: (MAA 4200), Spring 2022 (Also taught in Fall 2020, Fall 2017)

Past Courses Taught at Florida Atlantic University

• Partial Differential Equations - Graduate: (MAP 6345), Fall 2021
• Calculus and Analytic Geometry III: (MAC 2313), Fall 2021 (also taught in Spring 2020, Fall 2019 and Spring 2018)
• Calculus and Analytic Geometry II: (MAC 2312), Spring 2021 (also Fall 2019 and Summer 2017)
• Numerical Analysis - Graduate: (MAD 6407), Fall 2019.
• Ordinary Differential Equations (MAP 6336), Spring 2019
• Differential Equations 1 (MAP 2302), Spring, 2018
• Calculus-Analutic Geometry 3 (MAC 2313), Spring, 2017 and 2018
• Modern Analysis (MAA 4200), Fall, 2017
• Numerical Methods (MAD 3400), Fall 2014 and Fall 2017
• Calculus-Analytic Geometry 2 (MAC 2312), Summer I, 2017
• Matrix Theory (MAS 2103), Summer III 2017, and Fall 2016
• Ordinary Differential Equations (MAP 6336), Spring 2017
• Introductory Analysis II (MAA 5229 and 4227), Spring 2016
• Introductory Analysis I (MAA 5228 and 4226), Fall 2015
• Calculus and Analytic Geometry I (MAC 2311), Fall 2015
• Engineering Mathematics I (MAP 3305), Fall 2018 and Spring 2015

Past Courses Taught at Rutgers University

• Introduction to Computer Assisted Proof in Nonlinear Analysis (M495), Spring 2014.
• Differential Equations for Engineering and Physics (M244), Fall 2013
• Numerical Analysis, (M373), Fall 2013
• Advanced Calculus II, Section 1 (M312), Spring 2013.
• Differential Equations for Engineering and Physics, Sections 12-14 (M244), Fall 2012
• Introductory Linear Algebra, Section 10 (M250), Fall 2012
• Advanced Calculus I (M311), Spring 2012
• Calculus I for the Mathematical and Physical Sciences,sections 23-25 (M151), Fall 2011
• Elementary Partial Differential Equations (M423), Fall 2011
• Introduction to Mathematical Reasoning (M300), Spring 2011
• Calculus I for the Mathematical and Physical Sciences, Sections 13-15 (M151), Fall 2010

Past Courses Taught (Instructor of Record) at The University of Texas at Austin

• Foundations of Arithmetic (M316K), Fall 2008
• Integral Calculus (M408L), Fall 2009