Gradient & optimization

5 curated · 21 from open sources

Curated

#	Title	Difficulty	Tags
147	The direction of steepest ascent	Easy	Gradient
323	Steepest climb	Easy	Gradient & optimization
325	Lowest point of a bowl	Easy	Gradient & optimization
326	Saddle, peak or valley?	Easy	Gradient & optimization
327	Fixed sum, biggest product	Easy	Gradient & optimization

Complete problems only, with worked solutions first. Show everything

#	Title	Difficulty
134998	… (point source at the origin)	Easy
134999	… (line source along … axis)	Easy
135000	… (dipole)	Easy
135001	For … find the steepest direction and the level direction at	Easy
135004	What is the gradient of	Easy
135005		Easy
135006		Easy
135007		Easy
135008	… (careful)	Easy
135009	(Looking ahead) At a point where … is a maximum, what is…	Easy
135010	(a) Check by dot products that the normal and uphill and level…	Easy
135011	Compute the … vectors for … and draw them at a point…	Easy
135012	Compute the … for … and draw them at a typical point…	Easy
135055	A box has a corner at … and all edges parallel to…	Easy
135056	(Straight line fit, Section 11.4) Find … and … to minimize the…	Easy
135057	(Least squares) What numbers … come closest to satisfying the three equations…	Easy
135059	Minimize … in the regions (a) all … (b) … (c)	Easy
135060	Maximize and minimize … on the circle	Easy
135003	True or false, when … is any smooth function: (a) There is…	Easy
135054	A rectangle has sides on the … and … axes and a…	Easy
135058	Minimize … restricted by (a) … (b) … (c) … and	Easy