Calculus III
92.231( 202+203) Spring _Of_2006
 Class Connections
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Class Schedule
(92:231(202+203) OS404.  Instructor Rida Mirie. Office: Olney 416C.
Phone (978)934-2433.  EMail Rida_mirie@uml.edu
Office hours 8:30-9:20 M,W,TR, F,  (M5-6), and  (W5-6? ), and by appointment.
  (>3 EXAMS[1.5hrs] 50%) . (>6 quizes[20minutes] 30%).  Final(20%).
1 calculator+ 1 sheet allowed in exams, quizes  and final.
No CAMERAS or fones usage in class. Coverage rate will Vary.
No makeup. No extra Time.
You are responsible for the material covered in class whether you attend or not.

 

Topics[O-Z  vol. 3]

Section

Practise Problems


Three-Dimensional  Space 12.1 # 3, 5, 6, 8, 11, 14, 15, 17  

Vectors 12.4 # 5, 7, 9, 17, 19

The Dot Product 12.7 # 11,13, 23,25, 29,31

The Cross Product 12.9 # 1-15 odd

 Lines and Planes in Three dimesions
 12.8 # 1, 3, 5, 7, 11, 13, 15, 23, 27, 39,40

Vector-Valued  Functions 
 12.5 # 11, 13, 27 

Derivatives and Integrals
12.5
 # 5, 9, 15, 19, 31 

TEST1


Polar Coordinates and poalr Curves.
 12.3

 1-28(0dd)

Functions o f several Variables
13.1
1-8

Partial Derivatives
13.2
 1,3,5,7,9,51-55

Linear Approximation in 1 and several variables
 13.3
 7,-18odd

Gradient  and directional derivatives
 13.4
 1,3 ,7,9,13,17,21,23,27,30

Higher order derivatives(heat wave and laplace eqns),
The chain rule
 13.5
13.7
 # 3 - 13 odd, 17, 19
pp.763 #26,27,28,33,34,35

Maxima Minima and  Quadratic Approximation
 13.6
 5,9-29odd

Test2


Integrals. Calculating integrals by integration.
 14.2
 1-15odd

Integrals over non-rectangular regions
 14.3
 25,1-17odd, 25,29-41odd

Double integrals in polar coordinates
 14.4
 1-16odd 18-20,21-30,41

Triple Integrals
 14.5
 1-10odd

Test3


More Triple Integrals(cylindrical and spherical)
 14.6
 1-30 odd,31,35,39

Line integrals
 16.1
  9-15 and 19,21

A fundamental theorem  for line integrals
 16.2
  11-22 23-27 odd

Greens theorem in the plane
 16.3
 1-9 odd

Surfaces and their parametrization
 16.4
 1-9odd 15-19 odd

surface integrals
 16.5
 1-11 odd

derivatives and intgrals of vector field
 16.6
 11-16

Test4


The divergene theorem
 16.7
 9-12

Stoke's theorem
 16.7
 1-7


























































 

 

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