Triple integrals Study guides, Study notes & Summaries

5Arc length and triple I

Calculus III

Handwritten revision notes

I have a set of handwritten notes summarizing all theorems and definitions encountered in each section/subsection (theorems and definitions are either copied, simplified, or made more detailed based on how relevant I believe the information to be). I made these notes with the intention of NOT typing them, so I made sure to use my cleanest and clearest writing while staying organized and leaving enough white space for clarity. At the end of each subsection, if necessary, I leave personal notes to...

Detailed, colored, diagrammed notes covering Ch16 (Multiple Integrals) of Multivariable Calculus (High school)/Calculus III (University) course.

Three main units covered with practice problems and topic summaries.

All topics and notes for each topic.

This course covers i) vector calculus (Matrix Addition , Scalar Multiplication, Matrix multiplication, Transposition, Linear systems of Equation, Gauss elimination technique) ii)Line integrals ( Line Integral of a Scalar Field, Line Integral of a Vector Field, Line Integral Independent of Path) iii)Doble integrals and Green's theorem, Surface integrals, Triple integrals, Jacobian iv) More than 80 step by step working examples

The lecture note covers: i)Area of a Region, Volume of a Solid, Centroid and Moment of Inertia, Green’s Theorem ii) Coordinate system iii) Jacobian iv) Surface integrals v) Triple integrals, vi) Divergence theorem