Integrals I
£3.75
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Integrals I
£3.75
Part 1 of 3 in the Integrals series. Topics in this product include vectors in 3D and n-dimensional space, the dot and cross product, gradient and directional derivatives, and divergence, curl and the Laplacian.
This is a 12-page PDF scan of handwritten notes, featuring clickable PDF bookmarks so you can jump straight to any page in a PDF viewer such as Adobe Acrobat. Complete page-by-page contents can be found below so you know exactly what's inside before you buy.
MathsPage-by-page contents
Maths
Page-by-page contents
- 013D vector, cartesian coordinates, vector addition, cylindrical coordinates, spherical coordinates
- 02N-dimensional vector, scalar/dot product, norm, Cauchy-Schwartz inequality, triangle inequality
- 03Cross product, area of triangle, curve (path), example
- 04Example, tangent vector to a curve, examples
- 05Examples (continued): area of triangle, curve sketching, acceleration
- 06Scalar-valued function, level set, contour, example, gradient, example
- 07Tangent plane, example
- 08Chain rule, directional derivative, example, direction of max increase
- 09Gradient normal to a level set, example, laplacian, example
- 10Vector-valued function, jacobian, example
- 11Divergence, example, curl, example
- 12Laplacian of vector function, vector identities