Mariano Echeverria

Hill Assistant Professor, Rutgers University

Teaching Experience

At Rutgers University:

Summer 2022:
Multivariable Caclulus, Regular Section (MATH 251) Evaluation [online]


Multivariable Calculus, Regular Section (MATH 251) Evaluation [online]

Fall 2021:
Poincare Byrne Seminar Evaluation [COVID]


Multivariable Calculus, Regular Section (MATH 251) Evaluation [COVID]

Spring 2021:
Poincare Byrne Seminar Midcourse Evaluation [COVID]


Multivariable Calculus, Honors Section (MATH 251) Midcourse Evaluation [COVID]


Multivariable Calculus, Regular Section (MATH 251) Midcourse Evaluation [COVID]

Fall 2020:
Multivariable Calculus, Honors Section (MATH 251) Midcourse Evaluation [COVID]


Multivariable Calculus, Honors Section (MATH 251) Evaluation [COVID]


Multivariable Calculus, Regular Section (MATH 251) Midcourse Evaluation [COVID]


Multivariable Calculus, Regular Section (MATH 251) Evaluation [COVID]

Spring 2020:
Multivariable Calculus, Honors Section (MATH 251) Evaluation [COVID]

Fall 2019:
Multivariable Calculus, Honors Section (MATH 251) Evaluation
Differential Equations for Engineering and Physics (MATH 244)

Evaluation

2017-2018:
UVa All University Graduate Teaching Award

At University of Virginia:

Fall 2017: Instructor for A Survey of Calculus II (MATH 1220)

Evaluation

Spring 2017: No teaching assignment: dissertation fellowship
Research Communication Training Program

Fall 2016: Instructor for Applied Calculus II (MATH 1220) Evaluation
Teaching with Technology Summit

Summer 2016: Teaching Assistant for Calculus I (MATH 1310)
Teaching assistant for Calculus II (MATH 1320)
Michigan Calculus Workshop at UVA (MATH 1320)

Spring 2016: Assistant Course Coordinate for Calculus I (MATH 1310) and Applied Calculus I (MATH 1310)
Teaching assistant for Ordinary Differential Equations (MATH 3250)

Evaluation

Fall 2015: Instructor for Applied Calculus I (MATH 1210)

Evaluation

Spring 2015: Instructor for Calculus I (MATH 1310)

Evaluation

Fall 2014: Instructor for Applied Calculus I (MATH 1210)

Evaluation

Spring 2014: Teaching Assistant for Calculus III (MATH 2310)

Evaluation 1 Evaluation 2

Fall 2013: Teaching Assistant for Calculus III (MATH 2310)

Evaluation 1 Evaluation 2

At University of Costa Rica:

Spring 2013: Instructor for Ordinary Differential Equations (MA 1005)
Instructor for Multivariable Calculus (MA 1003)

Fall 2012: Instructor for Linear Algebra (MA 1004)

Spring 2012: Instructor for Linear Algebra (MA 1004)

Video Material and notes

Multivariable Calculus (MATH 251H, Spring 2020)

Multivariable Calculus Youtube Lectures.


Class Notes from Fall 2021

Vector Geometry and Curves

Functions of Several Variables and Differentiation

Double and Triple Integrals

Vector Calculus: Green, Stokes and Gauss


Vector Geometry Notes
Vector Geometry Problems
Vector Geometry Answers


Curves and Geometry Notes
Curves and Geometry Problems
Curves and Geometry Answers


Scalar Fields Notes
Curves and Geometry Problems
Curves and Geometry Answers


Optimization and Lagrange Multipliers Notes
Optimization and Lagrange Multipliers Problems
Optimization and Lagrange Multipliers Answers


Integration of Scalar Fields Notes
Integration of Scalar Fields Problems
Integration of Scalar Fields Answers


Integration of Vector Fields Notes


Extra Problems Notes

Notes and Animations

Lecture Notes

Calculus in One Variable (work in progress)

Geogebra Animations

Exhaustion Method Archimedes.

Area of a Circle and Pizza Slices.

Limit Definition of a Derivative.

Fundamental Theorem of Calculus.

Riemann Sums.

Race in Space.

Race in Spacetime.

Related Rates Balloon Rising.

Ralated Rates Lamp Post.

Sine Function and the Unit Circle.

In Spanish

Apuntes del Curso

Calculo en Varias Variables

Algebra Lineal

Ecuaciones Diferenciales

Fun Youtube Videos

The Remarkable way we eat Pizza.

What is the shape of space?.

Gyroscopic Precession.

Fantastic Quaternions.

Geocentric Models [Aristotle and Ptolemy].

Ptolemy's Geocentric Universe.

Would physics be different in a mirror universe?.

This particle breaks time symmetry.

The Brachistochrone with Steven Strogatz.

Carl Sagan: Flatland Animated.

The Bizarre Behavior of Rotating Bodies.

Newton's Shell Theorem.

A Strange Map Projection (Euler Spiral).

Strange Spheres in Higher Dimensions.

Polar Planimeter.

What is chirality and how did it get in my molecules?.

The Quantum Experiment that almost broke locality.

Aharonov-Bohm effect in CRT experiment.

Why Gravity is not a force.

Bomb Blast Radius.

Ham Sandwich Problem.

Divergence and curl: the language of Maxwell's equations, fluid flow, and more.

What if the universe had a higher dimensional twist in it?.

Introduction to Magnetic Monopoles.

Maxwell's Equations Visualized.

How Special Relativity Fixed Electromagnetism.

ODE Phase Diagrams.

Graph of the Sine Function.

Inductor Basics- What is an Inductor?.

The Square Wave and the Fourier Series.

Wave Superposition.

Willburforce and Double Pendulums.

Londom Millennium Footbridge.

Chaos Theory PBS.

Normal Modes.

© 2015 Mariano Echeverria
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