studyguide 4 mth

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

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

View Full Document Right Arrow Icon
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 ±eld 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
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/11/2011 for the course MTH 241 taught by Professor Ramachandran during the Fall '08 term at SUNY Buffalo.

Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online