Multivariable Calculus 1: Vectors and Derivatives
offered by MIT USA

Private University
168 acre campus
Estd. 1861

Multivariable Calculus 1: Vectors and Derivatives
at
MIT USA
Overview

Learning how to leverage computational tools like graphing calculators and software packages to visualize and analyze multivariable functions

Duration	15 weeks
Mode of learning	Online
Official Website	Go to Website
Course Level	UG Certificate

Multivariable Calculus 1: Vectors and Derivatives

Table of content

Overview
Highlights
Course Details
Curriculum
Faculty
Entry Requirements

Multivariable Calculus 1: Vectors and Derivatives
at
MIT USA
Highlights

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Multivariable Calculus 1: Vectors and Derivatives
at
MIT USA
Course details

Who should do this course?

Those with a solid understanding of calculus, including limits, derivatives, and integrals in one variable, are well-prepared for this course

What are the course deliverables?

How to visualize functions of 2 and 3 variables using level curves and level surfaces
How to compute partial derivatives, directional derivatives, and gradients
How to optimize multivariable functions subject to constraint equations
How to represent the linear approximation of a multivariable function using vectors and matrices

More about this course

In this course, we begin our exploration of functions of several variables
We will start with learning to visualize multivariable functions, then move to computing and interpreting their derivatives
You will discover how to use linear approximations in several variables to simplify complex questions and will start to think about the world through multivariable dependencies

Multivariable Calculus 1: Vectors and Derivatives
at
MIT USA
Curriculum

18.02.1x: Multivariable Calculus 1: Vectors and Derivatives

18.02.2x Multivariable Calculus 2: Integrals

Multivariable Calculus 3: Theorems and Applications (in development)

Multivariable Calculus 1: Vectors and Derivatives
at
MIT USA
Faculty details

Larry Guth

Larry Guth is a Professor of Mathematics at MIT. He received the Bocher prize from the American Mathematical Society and the Maryam Mirzakhani prize from the National Academy of Science. He works on problems in geometry related to isoperimetric inequalities and problems in Fourier analysis. He taught 18.02 four times between 2017 and 2020. Professor Guth is the Claude E Shannon Professor of Mathematics, and the MacVicar Faculty Fellow at the Massachusetts Institute of Technology.

Denis Auroux

Denis Auroux completed his studies in France, where he obtained his PhD in 1999 from Ecole Polytechnique. After his PhD he moved to MIT where he was a Moore Instructor from 1999 to 2002, an Assistant Professor of Mathematics from 2002 to 2004, and an Associate Professor from 2004 to 2009, before moving to UC Berkeley in 2009 and then to Harvard University in 2018.Denis is a Professor of Mathematics, Harvard University.