Math 2673, Spring Semester, 2007

Class Time Tues and Thurs. 12:00 -13:50

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Course Outline for Math 2673

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Assignments for the course, to be updated daily.

Week 1, 1/16/07

Tues Ex. 12.1 p. 852 5,11,13,21,23,35,37,39,41,45,49;

Two cylinders maple and pdf

Ex. 12.2 p860,1,5,9,17,23,25,33,35,37

Thursi 12.3 & 12.4 Ex. 12.3 P.870 1,7,9,13,17,27 & P.878 1,9,15,19

 

Week 2, 1/23

Tues i &12.5 & 12.6 p.887 1,3,9,13,21,23.29.33.39,45,53,59;

Thurs p.887 EX. 19,23,25,35,43,55,57 (DO FOR NEXT TUESDAY)

Week 3 1/30

The Maple code for the text examples in Section 12.6 in Maple and pdf

The Maple code for the text examples in Section 13.1 in Maple and pdf

also

Quadric surfaces maple code, quadric surfaces pdf ,

Tues Visited lab please look at lp. 897 EX 45,49,5357,61,6569,73

Thurs 2/1/ 2007 Assigned materia; p.916 1,5,9,11,15,21,23,27,33,37,

• HOMEWORK #1 You are to do 4 problems using maple and the using a hand drawing. Select one problem from each group.
• The hand drawing should sketch the graph in each of the Planes (Z=0,X=0,Y=0)
• Do four problems on pp 898 - 899 DUE Thursday 2/8/2007
• Problem #1 do one of the folowing: p 898 ex 50 or ex 56
• Problem #2 do one of the folowing: p 898 ex 60 or ex 66
• Problem #3 do one of the folowing: p 898 ex 90 or ex 92
• Problem #4 do one of the folowing: p 899 ex 89 or ex 93
• The following maple sheets for ----------------may be helpful. To download a maple program, you must have Maple.

maple code for two and three cylinders maple code in pdf format

Week 4, 2/6/2007

EXAM I Thursday Feb 15 (more info too follow)


Tues assigned workp. 927 1,7,17,27,30 p.935 ex1,5,9 Sec 13.5 p.949 ex 9,11,13,15;


Started %14.3 assigned p. 973 ex. 1,7,13,23,27,29,35,41,53

also some review. SAMPLE EXAM I

some solutions to sample exam maple code or in pdf format

• Week 5 2/13

• Exam 1 will be on chapters 12 & 13.1-13.4

• LAB II due Thursday 2/22

Thurs %14.3 assigned p. 994 ex. 1,5,9 -- every 4th one through 77

 

• 

i

, Tues Lab1 due

Week 7 2/27

Tues %14.4 assigned p. 1003 ex. 1,5,9 every 4th through 47

Announced EXAM II for Thursday March 8

Thurs , % 14.5 p. 1013 Ex.1,7,9,15,21,23:

tangent plane example in maple, or pdf

• assigned work%14.6 p. 1024 Ex.1,5,19,27,37,39,49,53

• Sample Exam II,

Week 8, 3/6

Tues review for Exam II

3/8 Thursday EXAM II

• BREAK 3/11- 3/17

Week 9, 3/20

Tues Plots from p. 1028 pdf and maple code

,

covered %14.7 Theorem 11 pp. 1034-35 ex. 1,5,9, ...49

• thurs, Plots from p.1030 pdf and maple code Exam II
• a hard problem pdf and maple code

Tues LABIII do 3 of the following 5p. 1-38 ex 65,66,67,68,69.

You are to find the max/min and then plot the surface and draw a tangent to the plot at any point which is a max/min.

Homework p 1034 Ex. 9, 11, 27,29,33,37:

THURS p. 1079 Ex 1,5,7,23,27,41,47,51,55

Week 10, 3/27

Tuesday P.1089 Ex 5,7,11,13,15,19,21,23

text % 15.3 p. 1097 ex 1 - 17 odds

region problem in pdf and in maple

• silo problem in pdf and in maple
• two cylinder in pdf and in maple

• text p. 1097 19,21 and
• % 15.4 p. 1106 ex 1,7,17,19,23,27,33,37

Week 11, 4/3

Tues p1108 done in maple and in pdf

p. 1126 ex. 1 thru 61 ( every fourth)

• thurs
• • 

Week 12 4/10,

EXAM III p. 1126 ex. 1 thru 61 ( every fourth one)

Solutions to pp 1127 in pdf and in maple

• EXAM III
• solutions in maple and pdf

Spherical Coordinates can be found at sphereical coordinates

Lab 4 is due day 4/18/2007

• LAB IV .: :Graph each of the assigned problems: pp1126-1127 EX. 39,41,47,55,59

   

• 

thurs triple int in maple and in pdf

two cylinders int in maple and in pdf

silo problems in maple and pdf

Week 13, 4/17

Tues %16.1 & 16.2 pp. 1148 Ex. 9-21 odds

pp. 1058-1059 ex 23,25,27,29

Week 14, 4/24

Tues p.1168 Ex. 1-17 odds

• Page 1127 ex 47 in maple or in pdf

 

• Page 1127 ex59 in maple or in pdf

 

.thurs
Assigned Problems p. 1179 ex5,9,17,19,21

Week15, 5/1

Tues Sample questions for Final Exam ( updated 4/27)

 

,the work example from p1154Example 2 in maple and pdf

• Upon completing this course the successful Calculus III student has accomplished the following: 

  1. Graph and find the equation of a line and plane in space.
  2. Graph and find the equations of surfaces in space such as cylinders and quadric surfaces.
  3. Convert between rectangular, cylindrical and spherical coordinates.
  4. Differentiate and integrate vector-valued functions.
  5. Find the unit tangent vector and principal unit normal vector of a smooth curve and use to find the arc length .
  6. Find the tangential and normal components of acceleration for a smooth curve.
  7. Describe graphs, level curves and level surfaces of functions of several variables and evaluate limits of functions of several variables.
  8. Discuss the continuity and differentiability of a function of several variables.
  9. Find partial derivatives, directional derivatives, gradients and differentials of functions of several variables and use them to solve applied problems.
  10. Find equations of tangent planes and normal lines to surfaces.
  11. Use the chain rule for functions of several variables (including implicit differentiation).
  12. Find extrema of functions of several variables using the second partials test and Lagrange multipliers and solve applied problems.
  13. Evaluate iterated integrals and use them to find the area of plane regions.
  14. Evaluate multiple integrals in rectangular, polar, cylindrical and spherical coordinates and use them to solve applications involving volume.
  15. Use a Jacobian to change variables in multiple integrals.
  16. Identify conservative fields.
  17. Find the curl and divergence of a vector field and the flux of a field through a surface and solve applied problems.
  18. Evaluate line integrals and solve applied problems.
  19. Identify when a line integral is independent of path and use the Fundamental Theorem of Line Integrals.
  Use Green's Theorem.

   

  Week 16 Final exam's week

  

Spartan King Leonidas "Before this battle is over, the world will know that few stood against many."

• covered 15.7 pp. 1136-37 please do EX.9,13,14

FINALS Week:

Final Exam

Solutions is maple and pdf