Lecture16_Surface_integrals_Sec_9-13

# Lecture16_Surface_integrals_Sec_9-13 - Surface Integrals...

This preview shows pages 1–4. Sign up to view the full content.

1 Surface Integrals and Stokes’ Theorem ± This unit is based on Sections 9.13 and 9.14 , Chapter 9. ± All assigned readings and exercises are from the textbook ± Objectives : Make certain that you can define, and use in context, the terms, concepts and formulas listed below: evaluate integrals over a surface. find the surface area and mass of a surface. calculate the flux of a vector across a surface. verify Stokes’ theorem for particular examples of smooth surfaces with smooth bounding curves. solve line integral problems using Stokes’ theorem. ± Reading : Read Section 9.13 - 9.14, pages 524-538. ± Exercises : Complete problems

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

View Full Document
2 Surface Integrals S surface a of area the integral double = = ∫∫ S dS curve a of length the = C ds ± The main difficulty is in expressing dS becomes ± When we go from curves to surfaces, the basic integral (length of a curve)
3 Surface Integrals (Cont.) ± When the surface has only one z for each (x, y), it is the graph of a function z(x, y). In other cases S can twist and close up: a sphere

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.

## This note was uploaded on 05/09/2010 for the course ENGR 233 taught by Professor S.samuelli during the Winter '10 term at Concordia Canada.

### Page1 / 12

Lecture16_Surface_integrals_Sec_9-13 - Surface Integrals...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online