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

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

Teaching

Current

I am not teaching in Fall 24.

I wrote the math outreach children's book Who Me? I'm a Mathematician Now! The book targets children at about ten years old and its goal is to get kids excited about math. It does so by being in part auto-biographical, telling the story of how I got interested in science and math as a kid, growing up in Brazil, and my trajectory to a PhD and career in the U.S. The book also discusses what it is like to be a professional mathematician. Along the way, the text gives some brain teasers (appropriate for the reader's age) and explains some basic math concepts like variables, equations, solutions, etc. The book is part of the Who Me? series, published by World Scientific, whose goal is to promote STEM fields among children.

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).

I am not teaching in Fall 24.

I wrote the math outreach children's book Who Me? I'm a Mathematician Now! The book targets children at about ten years old and its goal is to get kids excited about math. It does so by being in part auto-biographical, telling the story of how I got interested in science and math as a kid, growing up in Brazil, and my trajectory to a PhD and career in the U.S. The book also discusses what it is like to be a professional mathematician. Along the way, the text gives some brain teasers (appropriate for the reader's age) and explains some basic math concepts like variables, equations, solutions, etc. The book is part of the Who Me? series, published by World Scientific, whose goal is to promote STEM fields among children.

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 O. Ozer'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.

Sets of videos about calculus (and other topics) can be found on Ahmet O. Ozer'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.

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 R^{n} 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.

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

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

Below are the courses I previously taught at Vanderbilt University.

Term |
Course |
More
information |

Fall 24 | Not teaching. | |

Spring 24 | MATH 3120 - Intro to PDEs | MATH 3120 course webpage |

Fall 23 | MATH 2610 - ODEs | MATH 2610 course webpage |

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 webpage, Recitations webpage |

Fall 06 | Recitations R01 and R03 of MAT131 |