Multivariable Calculus 2: Integrals
offered by MIT University

Private University
168 acre campus
Estd. 1861

Multivariable Calculus 2: Integrals
at
MIT University
Overview

Learners will hone their skills in manipulating integral expressions, applying change of variables techniques, and utilizing Fubini's Theorem to tackle double and triple integrals in various coordinate systems

Duration	15 weeks
Total fee	Free
Mode of learning	Online
Official Website	Explore Free Course
Course Level	UG Certificate

Multivariable Calculus 2: Integrals
at
MIT University
Highlights

Earn a certificate from MITx Online after paying the amount 8231/-
Learn from industry experts

Multivariable Calculus 2: Integrals
at
MIT University
Course details

Who should do this course?

Professionals in scientific and engineering fields seeking to apply integral calculus techniques to their work can benefit from this course

What are the course deliverables?

How to compute double and triple integrals in different coordinates systems
How to compute flux through curves, and work along a curve
How to use integrals to solve word problems in the real-world
How to relate different types of integrals using the Fundamental Theorem of Line Integrals and Green’s Theorem

More about this course

Variables are all around us: temperature, altitude, location, profit, color, and countless others
Multivariable Calculus is the tool of choice to shed light on complex relationships between 2, 3, or hundreds of variables simultaneously
In this course, you will learn how to set up, solve, and interpret many types of multivariable integrals double integrals of scalar functions in any coordinate system, line integrals of scalar and vector-valued functions, and triple integrals in cartesian, cylindrical, and spherical coordinates

Multivariable Calculus 2: Integrals
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)

Multivariable Calculus 2: Integrals
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.