Surface Area, Change of Variables
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Week 9 Lecture Videos (Prof. Ingrid Daubechies)
Application of Double Integrals (Center of Mass, Moment of Inertia, Theorems of Pappus); Triple Integral (Cartesian/Cylindrical/Spherical Coordinates)
read moreWeek 7 Lecture Videos (Prof. Ingrid Daubechies)
These videos (week 7) cover basics about double integrals.
read moreWeek 6 Lecture Videos (Prof. Ingrid Daubechies)
These videos (week 6) illustrate the geometric pictures underlying unconstrained/constrained optimization in great detail.
read moreWeek 5 Lecture Videos (Prof. Ingrid Daubechies)
This video (week 5) explains chain rule and direction derivatives.
read moreWeek 4 Lecture Videos (Prof. Ingrid Daubechies)
This video (week 4) focuses on partial derivatives and differentiability.
read moreWeek 3 Lecture Videos (Prof. Ingrid Daubechies)
These videos (week 3) use highly expressive MATLAB-based visualizations to illustrate geometric concepts: surfaces, graphs, level sets, etc.. Limits and continuity of functions of several variables are also covered.
read moreWeek 2 Lecture Videos (Prof. Ingrid Daubechies)
This video (week 2) covers basic concepts about curves, including parametrization, velocity (tangent) and accerlation vectors, curvature and normal vectors, and the decomposition of accerlation through tangent and normal directions.
read moreWeek 1 Lecture Videos (Prof. Ingrid Daubechies)
Lecture videos made by Prof. Ingrid Daubechies when teaching this course in Fall 2014, based on her lecture slides and data visualization with MATLAB. The week 1 video covers all topics in Review Notes: Vectors.
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