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Created by:
Last updated:
December 22, 2022
Duration:
Unlimited Duration
FREE
This course includes:
Unlimited Duration
Badge on Completion
Certificate of completion
Unlimited Duration
Description
This is a variation on 18.02 Multivariable Calculus. It covers the same topics as in 18.02, but with more focus on mathematical concepts.
Acknowledgement
Prof. McKernan would like to acknowledge the contributions of Lars Hesselholt to the development of this course.
Course Curriculum
- Vectors in R2 and R3 Unlimited
- Dot product Unlimited
- Cross product Unlimited
- Planes and distances Unlimited
- n-dimensional space Unlimited
- Cylindrical and spherical coordinates Unlimited
- Functions Unlimited
- Limits Unlimited
- The Derivative Unlimited
- More about derivatives Unlimited
- Higher derivatives Unlimited
- Chain rule Unlimited
- Implicit functions Unlimited
- Parametrised curves Unlimited
- Arclength Unlimited
- Moving frames Unlimited
- Vector fields Unlimited
- Div grad curl and all that Unlimited
- Taylor polynomials Unlimited
- Maxima and minima: I Unlimited
- Maxima and minima: II Unlimited
- Double integrals Unlimited
- Inclusion-exclusion Unlimited
- Triple integrals Unlimited
- Change of coordinates: I Unlimited
- Change of coordinates: II Unlimited
- Line integrals Unlimited
- Manifolds with boundary Unlimited
- Conservative vector fields revisited Unlimited
- Surface integrals Unlimited
- Flux Unlimited
- Stokes theorem Unlimited
- Gauss theorem Unlimited
- Forms on Rn Unlimited
About the instructor
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Massachusetts Institute of Technology
