Chapter 15 "Partial Derivatives"

Textbook sections that will be covered are 15.1 to 15.8. The following are recommended exercises:

15.1: 3, 5, 7, 13, 15, 17, 19, 21, 25, 27, 29, 30, 31, 33, 37, 41, 43, 45, 51, 52, 53, 54, 55, 56, 57, 59, 67

15.2: 1, 3, 5, 7, 11, 13, 15, 17, 19, 23, 24, 27, 29, 31, 33, 35, 37, 39, 41

15.3: 1, 3, 5, 7, 13, 15, 21, 27, 29, 31, 33, 35, 37, 41, 43, 47, 49, 51, 53, 55, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 85, 87

15.4: 3, 5, 11, 13, 15, 17, 19, 25, 27, 29, 31, 33, 35, 37, 39

15.5: 3, 5, 9, 11, 13, 15, 17, 21, 23, 25, 27, 29, 31, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53

15.6: 1, 3, 5, 7, 9, 11, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 39, 41, 45, 47, 51, 53, 55, 57, 59, 61

15.7: 1, 3, 7, 9, 11, 13, 15, 17, 27, 29, 31, 33, 37, 39, 41, 43, 45, 47, 49, 51

15.8: 1, 5, 7, 11, 13, 15, 17, 19, 21, 23, 27, 31, 37, 39, 41

 

The following links should give you a nice introduction to partial derivatives and how to work with them:

http://web.mit.edu/wwmath/vectorc/scalar/partial.html

http://icg.fas.harvard.edu/~apm21a/Supplementary_Notes/partial.pdf

http://www.orst.edu/Dept/math/CalculusQuestStudyGuides/vcalc/partial/partial.html

http://mathstat.carleton.ca/~amingare/calculus/page533/node2.html

http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/node67.html

http://www.math.hmc.edu/calculus/tutorials/partialdifferentiation/