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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.
FREE
This course includes
Hours of videos
944 years, 4 months
Units & Quizzes
34
Unlimited Lifetime access
Access on mobile app
Certificate of Completion
Acknowledgement
Prof. McKernan would like to acknowledge the contributions of Lars Hesselholt to the development of this course.
Course Currilcum
- 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