Calculus III Fall 2007

Week

 

 Reading Exercises
(to practice, not to hand in) 		Homework
Jan. 21, 23

University holiday Jan. 21

12.1 Three-dimensional coordinate systems.

 12.1 #3, 9, 15, 21, 39.
 #1 Due: 1/28/08
12.1 #16,18, 20, 38.
Jan. 28, 30

12.2 Vectors,

12.3 The dot product.

12.2 #11, 21, 31, 37, 39, 41.

12.3 #23, 27, 49, 51, 57.

#2 Due 2/04/08
12.2 #22, 40.

12.3 #24, 28, 50, 52, 56, 58, 60.

Feb. 4, 6 12.4 The cross product,
12.5 Equation of lines and planes.		 12.4 #3, 9, 13, 14, 15, 33, 43, 45, 49.
12.5 #1, 5, 9, 13, 19, 31, 37, 39, 43.		 #3 Due 2/11/08
12.4 #16, 20, 22, 34, 44.
12.5 #8, 16, 20.
Feb. 11, 13

12.5 Equation of lines and planes.

 12.5 #49, 61, 65, 73. #4 Due 2/18/08
12.5 # 32, 34, 38, 44, 56, 62, 66, 68, 72.
Feb. 18, 20

12.6 Cylinders and quadric surfaces,

First midterm exam Feb 20.

 12.6 #19, 21-28, 35, 41, 45. #5 Due 2/25/08
12.6 #18, 36, 42, 46, 50.
Feb. 25, 27 10.1 Curves defined by parametric equations,

10.2 Calculus with parametric curves.

 10.1 #4, 13, 21,33, 37, 41.
10.2 #5. 17, 29, 31, 41. 		#6 Due 3/03/08
10.1 #14, 24, 28, 34, 42.
10.2 #4, 18, 30, 44, 66.
Mar. 3, 5

10.3 Polar coordinates,
10.4 Areas and lengths in polar coordinates.

10.3 #17, 28, 35, 63.
10.4 #31, 35, 41.
#7 Due 3/10/08
10.3 #18, 20, 36, 64.
10.4 #32, 36, 42, 46.
Mar. 10, 12 10.5 Conic sections,
10.6 Conic sections in polar coordinates,

13.1 Vector functions and space curves.

10.5 #17, 33, 37.

10.6 #3, 13, 21.
13.1 #37.

#8 Due 3/24/08

10.5 #18, 26, 28, 54.
10.6 #6, 22, 24.
13.1 #28, 38, 42.

Mar. 17, 19 Spring Recess   No homework
Mar. 24, 26

13.2 Derivatives and integrals of vector functions,

13.3 Arc length and curvature.

13.2 #3, 19, 49.
13.3 #3, 4, 13, 25, 33, 41.43, 45, 49.

#9 Due 3/31/08
13.2 #24, 34.
13.3 #6, 14, 16, 24, 40, 44, 46.

Mar. 31, Apr.2

13.4 Motion in space: velocity and acceleration.

Second midterm exam Apr.2

13.4 #11, 17, 19, 25.
Applied project: Kepler's laws (page 848) 1, 2.

#10 Due 4/07/08
13.4 #2, 10, 18, 22, 26, 40.
Apr. 7, 9

14.1 Functions of several variables.

14.2 Limits and continuity,

14.1 #1, 3, 33, 55, 65.
14.2 #9, 37.

#11 Due 4/14/08
14.1 #8, 30, 56, 66.
14.2 #12, 14, 16.

Apr. 14, 16

14.2 Limits and continuity,
14.3 Partial derivatives.

14.4 Tangent planes and linear approximations,

14.3 #21, 45, 55, 65,73, 75, 81, 87.

14.4 #3, 11, 19, 31.

#12 Due 4/21/08

14.2 #38, 40.

14.3 #24, 70, 72, 74, 94.

14.4 #6, 14, 18, 36.
Apr. 21, 23

14.5 The chain rule,

14.6 Directional derivatives and the gradient vector.


14.5 #3, 9 , 13, 15, 45, 53, 55.

14.6 #7, 19, 23, 27, 29, 43, 47, 51.

#13 Due 4/28/08

14.5 #4, 10, 14, 46, 52, 56.

14.6 #8, 18, 32, 44, 50.
Apr. 28, 30

14.7 Maximum and minimum values.


14.7 #1, 5, 19, 29, 41, 47.

#14 Due 5/05/08
14.7 #2, 8, 12, 20, 30, 42, 48, 54.
May. 5 14.8 Lagrange multipliers.

14.8 #1, 3, 11, 19, 25, 29, 35.

No homework
May. 14

Final exam

9:00am - 12:00pm, MAT 417