Calculus III Fall 2007

Week

 

 Reading Exercises
(to practice, not to hand in) 		Homework
Sept. 5, 10 12.1 Three-dimensional coordinate systems,
12.2 Vectors.		 12.1 #3, 9, 15, 21, 39.
12.2 #11, 21, 31, 37, 39, 41.		 #1 Due: 9/17/07
12.1 #18, 20, 38.
12.2 #22, 40.
12.3 #24, 28.
Sept. 12, 17 12.3 The dot product,
12.4 The cross product,
12.5 Equation of lines and planes.		 12.3 #23, 27, 49, 51, 57.
12.4 #3, 9, 13, 14, 15, 33.		 #2 Due 9/19/07
12.3 #50, 52, 56, 58, 60.
12.4 #16, 20.
Sept. 19, 24 12.5 Equation of lines and planes 12.4 #43, 45, 49.
12.5 #1, 5, 9, 13, 19, 31, 37, 39, 43.		 #3 Due 9/26/07
12.4 #34, 44.
12.5 #8, 16, 20, 32, 38, 44.
Sept. 26, Oct. 1 12.5 Equation of lines and planes,
12.6 Cylinders and quadric surfaces.		 12.5 #49, 61, 65, 73. #4 Due 10/3/07
12.5 #56, 62, 68, 72.
Oct. 3, 8 First midterm exam Oct. 3,
10.1 Curves defined by parametric equations.		 12.6 #19, 21-28, 35, 41, 45. #5 Due 10/10/07
12.6 #18, 36, 42, 46, 50.
Oct. 10, 15 10.2 Calculus with parametric curves,
10.3 Polar coordinates,
10.4 Areas and lengths in polar coordinates. 		10.1 #4, 13, 21,33, 37, 41.
10.2 #5. 17, 29. 		#6 Due 10/17/07
10.1 #14, 24, 28, 34, 42.
10.2 #4, 18, 30.
Oct. 17, 22 10.5 Conic sections,
10.6 Conic sections in polar coordinates,
13.1 Vector functions and space curves.		 10.2 #31, 41.
10.3 #17, 28, 35, 63.
10.4 #31, 35, 41.
10.5 #17, 33, 37.		 #7 Due 10/24/07
10.3 #18, 36, 64.
10.4 #32, 36, 42.
10.5 #18, 54.
Oct. 24, 29 13.2 Derivatives and integrals of vector functions,
13.3 Arc length and curvature,
13.4 Motion in space: velocity and acceleration.		 10.6 #3, 13, 21.
13.1 #37.
13.2 #3, 19, 49.
13.3 #3, 4, 13, 25.		 #8 Due 10/31/07
10.6 #6, 22.
13.1 #38.
13.2 #24.
13.3 #6, 14, 16, 24.
Oct. 31, Nov.5 Second midterm  exam Oct. 31
University holiday Nov. 5 		  No homework due Nov. 7
Nov. 7, 12 13.4 Motion in space: velocity and acceleration,
14.1 Functions of several variables,
14.2 Limits and continuity.		 13.3 #33, 41.43, 45, 49.
13.4 #11, 17, 19, 25.
Applied project: Kepler's laws (page 848) 1, 2.		 #9 Due 11/14/07
13.3 #40, 44, 46.
13.4 #2, 10, 18, 22, 26, 40.
Nov. 14, 19 14.2 Limits and continuity,
14.3 Partial derivatives,
14.4 Tangent planes and linear approximations. 		14.1 #1, 3, 33, 55, 65.
14.2 #9, 37.
14.3 #21, 45, 55, 65.
#10 Due 11/21/07
14.1 #8, 30, 56, 66.
14.2 #12, 38.
14.3 #24, 70, 72.
Nov. 21, 26 14.5 The chain rule,
14.6 Directional derivatives and the gradient vector.		 14.3 #73, 75, 81, 87.
14.4 #3, 11, 19, 31.
14.5 #3, 9 , 13, 15.
 #11 Due 11/28/07
14.3 #74, 94.
14.4 #6, 14, 18, 36.
14.5 #4, 10, 14, 16.
Nov. 28, Dec.3 14.6 Directional derivatives and the gradient vector,
14.7 Maximum and minimum values 		14.5 #45, 53, 55.
14.6 #7, 19, 23, 27, 29, 43, 47, 51.
14.7 #1, 5.
#12 Due 12/5/07
14.5 #46, 52, 56.
14.6 #8, 18, 32, 44, 50.
14.7 #2, 8.
Dec. 5, 10 14.7 Maximum and minimum values,
14.8 Lagrange multipliers.		 14.7 #19, 29, 41, 47.
14.8 #1, 3, 11, 19, 25, 29, 35.
 #13 Due 12/12/07
14.7 #20, 30, 42, 48.
14.8 #4, 12, 18, 26, 30, 36.
Wednesday, Dec. 19 Final exam date 1:10pm-4pm, 413 Kent.  

 

  
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