SIO 210: Introduction to Physical Oceanography
Math concepts
Lynne Talley, Fall, 2016
This is a list of the math concepts that you should be familiar with for
literacy when it comes to reading general physical oceanographic
literature. If any of this gives you pause, please come to the math
tutorial sessions, listen and ask.
Math tutorial: Shantong Sun (shs041@ucsd.edu)

Derivative
(Wolfram link)

Partial derivative
(Wolfram link)

Integral
(Wolfram link)

Not necessary for this course, but for general math knowledge: Ordinary differential equations (simple ones for this tutorial)

Scalar

Vector

Scalar ("dot") product

Vector ("cross") product

Gradient

Divergence

Curl

Not necessary for this course, but general math knowledge: Partial differential equations (simple ones for this tutorial)
Recommended reading:
Chapter on vector analysis in any standard Applied Mathematics textbook
(usually one year past calculus).
On library reserve:
1 calculus book
1 advanced calculus book (Hildebrand)
Wolfram Mathworld: excellent notes and tutorials
Wikipedia entries on these subjects are good, although great
caution should always be exercised when using Wikipedia.
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Last modified: Sept. 25 2016