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Multivariable Calculus 1: Vectors and Derivatives 
offered by MIT University

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  • Estd. 1861

Multivariable Calculus 1: Vectors and Derivatives
 at 
MIT University 
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

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Course Level

UG Certificate

Multivariable Calculus 1: Vectors and Derivatives
 at 
MIT University 
Highlights

  • Earn a certificate from MITx Online
  • Learn from industry experts
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Multivariable Calculus 1: Vectors and Derivatives
 at 
MIT University 
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 University 
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)

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Multivariable Calculus 1: Vectors and Derivatives
 at 
MIT University 
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.

Multivariable Calculus 1: Vectors and Derivatives
 at 
MIT University 
Entry Requirements

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Multivariable Calculus 1: Vectors and Derivatives
 at 
MIT University 
Contact Information

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77 Massachusetts Ave, Cambridge, MA 02139, USA
Cambridge ( Massachusetts)

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