{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

studyguide 4 mth

# studyguide 4 mth - Study Guide for the 4th Exam MTH241 Exam...

This preview shows pages 1–2. Sign up to view the full content.

Study Guide for the 4th Exam MTH241 Exam Date: 9th December 2011. In class Exam Covers Sections 16 . 1 16 . 6 You must know the followings 1. Line integral and line integral in space. 2. Fundamental theorem of line integrals and independent of path. 3. Green’s Theorem 4. Calculate Work Done. 5. Divergence ( . F ) and Curl ( ∇ × F ) 6. Conservative Field. 7. Parametric Surfaces and their areas, equation of tangent plane. Sample problems These problems are not the exact problems but by solving these you can understand the hardness of the original problems. Do the homework problems and the problems which I discussed in class . 1. Check whether or not the vector field is conservative F ( x, y, z ) = y 2 z 3 i + 2 xyz 3 j + 3 xy 2 z 2 k . 2. Use Green’s Theorem to evaluate the line integral along the given positively oriented curve C cos ydx + ( x 2 sin y ) dy C is the rectangle with the vertices (0 , 0) , (5 , 0) , (5 , 2) , (0 , 2). 3. Find the function f such that F = f and hence evaluate F . d r along the given curve C F ( x, y, z ) = e y i + xe y j + ( z + 1) e z k C : r (

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ 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