Practice 2

Practice 2 - Math E-21a Things to know for the 2nd midterm...

• Notes
• 1

This preview shows page 1. Sign up to view the full content.

Math E-21a – Things to know for the 2nd midterm exam Higher order derivatives, interpretation of 2nd derivatives, equality of mixed partials (Clairaut’s Theorem), quadratic approximation. Extrema of functions and the 2nd Derivative test; local maxima, local minima, and saddle points; unconstrained optimization. Constrained optimization and the Method of Lagrange Multipliers; extrema of a function in a bounded region. Integration of a function f ( x , y ) over a region in R 2 . Calculation of integrals over regions R 2 via iterated single integrals; and the Fubini Theorem. Interchanging the order of integration; calculation of double integrals using polar coordinates. Integration of a function f ( x , y , z ) over a region in R 3 . Calculation of integrals over regions R 3 via iterated single integrals using Cartesian, cylindrical, and spherical coordinates. Applications of multiple integrals: area of a region, volume of a solid, mass, average value of a function, centroid (geometric center).
This is the end of the preview. Sign up to access the rest of the document.
• Fall '09
• -

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern