Math 2673, Spring Semester, 2007
Class Time Tues and Thurs. 12:00 -13:50
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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;
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,
maple code for two and three cylinders maple code in pdf format
Week 4, 2/6/2007
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:
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
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
Week 11, 4/3
p. 1126 ex. 1 thru 61 ( every fourth)
EXAM III p. 1126 ex. 1 thru 61 ( every fourth one)
Solutions to pp 1127 in pdf and in maple
Spherical
Coordinates can be found at
Lab 4 is due day 4/18/2007
thurs triple int in maple and in 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
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:
Use Green's Theorem.
- Graph and find the equation of a line and plane in space.
- Graph and find the equations of surfaces in space such as cylinders and quadric surfaces.
- Convert between rectangular, cylindrical and spherical coordinates.
- Differentiate and integrate vector-valued functions.
- Find the unit tangent vector and principal unit normal vector of a smooth curve and use to find the arc length .
- Find the tangential and normal components of acceleration for a smooth curve.
- Describe graphs, level curves and level surfaces of functions of several variables and evaluate limits of functions of several variables.
- Discuss the continuity and differentiability of a function of several variables.
- Find partial derivatives, directional derivatives, gradients and differentials of functions of several variables and use them to solve applied problems.
- Find equations of tangent planes and normal lines to surfaces.
- Use the chain rule for functions of several variables (including implicit differentiation).
- Find extrema of functions of several variables using the second partials test and Lagrange multipliers and solve applied problems.
- Evaluate iterated integrals and use them to find the area of plane regions.
- Evaluate multiple integrals in rectangular, polar, cylindrical and spherical coordinates and use them to solve applications involving volume.
- Use a Jacobian to change variables in multiple integrals.
- Identify conservative fields.
- Find the curl and divergence of a vector field and the flux of a field through a surface and solve applied problems.
- Evaluate line integrals and solve applied problems.
- Identify when a line integral is independent of path and use the Fundamental Theorem of Line Integrals.
Week 16 Final exam's week
FINALS Week: