Marcelo Mendes Disconzi
Department of Mathematics, Vanderbilt University

email: marcelo.disconzi at vanderbilt.edu
office: Stevenson Center 1515
phone: (615) 322 7147
mail to: 1326 Stevenson Center Ln, Vanderbilt University, Nashville TN 37240

Vanderbilt












Marcelo Mendes Disconzi
Teaching

Current
This fall I am teaching MATH 2610 - ODEs.

I am happy to be a founding member of Vanderbilt's EMIT, a NSF funded research traineeship program whose goal is to establish an interdisciplinary graduate certificate program in the emerging field of multimessenger astronomy.

I am also happy to be part of the Vanderbilt-Fisk Noyce Program, a Robert Noyce Scholarship funded program designed to recruit, train, and support STEM majors who want to become K-12 science and math teachers. The project is a collaborative effort between Vanderbilt University, Fisk University, and Metropolitan Nashville Public Schools. Our goal is to create a sustainable pipeline for next generation STEM teachers to thrive in teaching.

Click here for some notes, videos of talks, useful links, and other teaching-related materials (for class notes, see below).

Resources and extra materials for Calculus
Sets of videos about calculus (and other topics) can be found on Ahmet ÷. ÷zer's YouTube channel, on the 3blue1brown YouTube channel The Essence of Calculus (check out also their Divergence and curl: The language of Maxwell's equations, fluid flow, and more) and on the Khan Academy's YouTube channel Multivariable calculus playlist.

A three-volume Calculus textbook, by Jerrod E. Marsden and Alan Weinstein, with Student Guides, is available online for free.

If you learn things best by seeing tons of examples, you should have a look at the textbook "Schaum's outline of calculus" (or one of its variants), which contains more than 1000 problems solved. Similar "Schaum's outline..." are also available for other subjects such as linear algebra or differential equations.

Finally, if you struggle with simple algebra, make sure to check this list of common mistakes.

Class notes
Here are my class notes. For other types of notes (research notes, mini-courses, etc.), click here.

Introduction to partial differential equations (MATH 3120). Introductory notes to undergraduate PDEs. For the most part, this is a mathematically rigorous course. It also covers some more advanced material not usually seen in undergraduate courses. Some background material (e.g., calculus formulas in Rn for arbitrary n) can be found here. For the class homework, click here. I am also making the source files available, which you can download and use at your discretion.

Partial differential equations (MATH 8110). Handwritten notes (Latexed notes to come...) of a graduate partial differential equations course. This is mostly a standard graduate PDE course, although I leave out some standard material (e.g., I only skim through Green's functions or the Cauchy-Kovalevskaya theorem) but also cover some not-so-standard topics (e.g., negative Sobolev spaces in bounded domains or the Cauchy problem for Einstein's equations). For the class homework (with solutions), click here. I am also making the source files available, which you can download and use at your discretion.

Methods of ordinary differential equations (MATH 2420). Handwritten notes (Latexed notes to come...) of an undergradaute ordinary differential equations course. This is a standard ODE course whose target audience are engineers and the like.

Ordinary differential equations (MATH 2610). Rough notes of an undergradaute ordinary differential equations course. This is a standard ODE course whose target audience are math majors. Nevertheless, since Analysis is not a pre-requisite for the course, there is barely any epsilon-delta argument and all proofs are very simple, mostly computational in nature. Here are some complementary notes on direction fields and realted material. I am also making the source files available, which you can download and use at your discretion.

Multivariable calculus (MATH 2300). Handwritten notes (Latexed notes to come...) of an undergradaute multivariable calculus course. This is a standard multivariable calculus course closely following Stewart's textbook.

Previous courses
Below are the courses I previously taught at Vanderbilt University.

Term
Course
More information
Spring 23  Not teaching
Fall 22  Not teaching
Spring 22  MATH 3120 - Intro to PDEs MATH 3120 course webpage
Fall 21  MATH 8110 - Graduate PDEs MATH 8110 course webpage
Spring 21  MATH 3120 - Intro to PDEs MATH 3120 course webpage
Fall 20 MATH 8110 - Graduate PDEs
MATH 2300 - Multivariable calculus
MATH 8110 course webpage
MATH 2300 course webpage
Spring 20 MATH 3120 - Intro do PDEs MATH 3120 course webpage
Fall 19 Not teaching
Spring 19 Not teaching
Fall 18 MATH 2420 - Methods of ODEs MATH 2420 course webpage
Spring 18 MATH 2610 - ODEs MATH 2610 course webpage
Fall 17 MATH 4110 - PDEs
MATH 8110 - Graduate PDEs
MATH 4110 course webpage
MATH 8110 course webpage
Spring 17 MATH 3120 - Intro do PDEs MATH 3120 course webpage
Fall 16 Lecture 01 of MATH 2300
(Multivariable calculus)
MATH 2300 course webpage
Spring 16 Graduate Analysis II MATH 6101 course webpage
Fall 15 Graduate Analysis MATH 6100 course webpage
Spring 15 Lecture 07 of MATH 196
(Differential equations with linear algebra)
MATH 196 course webpage
Fall 14 Lecture 01 of MATH 208
(Ordinary differential equations)
MATH 208 course webpage

Below are the courses I previously taught at Vanderbilt University as a postdoc.

Term
Course
More information
Spring 14 MATH 234
(Introduction to partial differential equations)
MATH 198
(Methods of ordinary differential equations)
MATH 234 course webpage

MATH 198 course webpage
Fall 13
MATH 294
(Partial differential equations)
MATH 155A
(Accelerated variable calculus II)
MATH 294 course webpage

MATH 155A course webpage
Spring 13 MATH 234
(Introduction to partial differential equations)
MATH 196
(Differential equations with linear algebra)
MATH 234 course webpage

MATH 196 course webpage
Fall 12
 MATH 155B
(Accelerated variable calculus II)
Course webpage

Below are the courses I previously taught at Stony Brook University as a graduate student.

Term
Course
More information
Spring 12
Lecture 04 of MAT 127
Lecture 04 webpage
Fall 11
Recitation R08 of MAT 126
Recitation R04 of MAT 122
Recitation webpage
Recitation webpage
Summer 11
Lecture of MAT 123
Course webpage
Spring 11
Recitation R07 of MAT 125
Course webpage
Fall 10
Recitations R06 and R35 of MAT125
Course managed on Blackboard
Summer 10
Lecture 01 of MAT303
Course webpage
Spring 10 Lecture ELC90 of MAT123 Course webpage
Fall 09 Recitations R16 and R35 of MAT125 Recitations webpage
Summer 09 Lecture 01 of MAT303 Course webpage
Spring 09 Recitations R01 and R31 of MAT126 Recitations webpage
Fall 08 Lecture ELC90 of MAT123 Course webpage
Summer 08 Lecture 02 of MAT126 Course webpage
Spring 08 Lecture 04 of MAT127 Course webpage
Fall 07 Recitations R16 and R17 of MAT125 Recitations webpage
Summer 07 Lecture 01 of MAT211 Course webpage
Spring 07 Recitations R03 and R14 of MAT126 Course webpageRecitations webpage
Fall 06 Recitations R01 and R03 of MAT131