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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.
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English [CC]
FREE
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Description
Acknowledgement
Prof. McKernan would like to acknowledge the contributions of Lars Hesselholt to the development of this course.
Course content
- 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
Instructor
Massachusetts Institute of Technology
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