Math 323 : Calculus III

Spring 2015 : Section 06
Schedule

Warning: All dates are approximate and may be adjusted, except including(!) the test dates.

WeekDatesSectionsTopicsExercisesNotes
  1   1/26-30 12.1-12.4 Vectors 12.1 ## 1-3  
  2   2/2-6 12.4-12.6 Vector geometry 12.1 ## 4, 9, 11, 36;
12.2 ## 1, 4, 7, 16, 21, 35, 46, 52;
12.3 ## 1, 14, 26, 37
Discuss M 2/2: 12.2 # 7, 21, 35, 46, 52;
12.3 ## 1, 14, 23(a,c), 26, 37.
Hand in #1, Tu 2/3: 12.1 ## 9(b), 40;
12.2 ## 4(c), 24, 44;
12.3 ## 10, 23(b,d), 31, 35.
  3a   2/9-13 (M)
12.6
Surfaces;
Vector functions
12.4 ## 2, 18, 33, 42;
12.5 ## 1, 2, 9, 10, 13, 23, 31, 62;
12.6 ## 3, 5, 21-28, 33, 41, 45
Hand in #2, M 2/9: 12.3 ## 26, 37, 45;
12.4 # 29; 12.5 ## 7, 25
For discussion Tu 2/10:
12.3 ## 40, 60; 12.4 # 42;
12.5 ## 9, 10, 13, 35; 12.6 ## 33, 45
Hand in #3, W 2/11: 12.4 ## 37;
12.5 ## 27, 45, 51; 12/6 ## 42, 46
  3b   2/9-13 (Tu-F)
13.1-13.3
Vector functions
13.1 ## 1, 3, 5, 7, 29;
13.2 ## 5, 9, 13, 39;
13.3 ## 2, 13, 19, 24
In 13.4 we cover only velocity and acceleration.
  4   2/16-20 13.2-3 Vector functions 13.3 ## 49, 57
13.4 ## 3, 15
Hand in #4, M 2/23:
13.1 ## 9, 27;
13.2 ## 17, 23, 35, 41;
13.3 ## 23, 47
  5a   2/23-27 (M) 13.4 Vector functions   Hand in #5, W 2/25:
13.4 ## 19, 22
  5b   2/23-27 (M-F) 14.1-14.3 Surfaces;
Partial differentiation
14.1 ## 13, 15, 17, 43, 50;
14.2 ## 5, 7, 11, 12, 19, 29, 38
Hand in #6, F 2/27:
13.4 # 18 (omit the computer part)
  Tu 3/3 Test I     covering Ch. 12-13.
  6   3/4-6 14.3-14.4 Partial differentiation;
Tangent planes
   
  7   3/9-13 14.4-14.7 Chain rule;
Directional derivatives;
Max & min
For class discussion M 3/16:
14.1 ## 13, 17, 43;
14.2 ## 7, 15;
14.3 ## 17, 19, 41, 47, 53;
14.4 ## 1, 13, 17;
14.5 ## 1, 2, 7, 13, 27;
14.6 ## 5, 7, 21;
14.7 ## 5, 7
Hand in #7, W 3/18:
14.2 ## 13, 14;
14.3 ## 49, 78(d);
14.4 ## 1, 13;
14.5 ## 9, 15, 33;
14.6 # 9;
14.7 # 9
  8   3/16-20 14.7-14.8      
  9a   3/23-25 14.8;
15.1-2
Max & min
 (local and absolute);
Lagrange multipliers;
Double integrals
For discussion M 3/23:
14.7 ## 35, 42;
14.8 ## 3, 7, 15, 17, 19;
15.2 ## 3, 7, 13, 15
Hand in #8, Tu 3/24:
14.7 ## 17, 29;
14.8 ## 5, 9, 21;
15.2 ## 5, 11, 22
  9b   3/25 Review   14.1 # 50; 14.2 # 38;
14.3 ## 42, 50, 61, 71;
14.5 ## 23, 31; 14.6 ## 12, 25;
15.2 # 36
 
  F 3/27 Test II     covering Ch. 14.
  10   3/30-4/3 15.3-4 Double integrals;
Surface area
For discussion Tues. 3/31:
14.7 ## 43, 45; 14.8 ## 11, 19;
15.2 # 31;
15.3 ## 1, 3, 7, 15, 19, 21, 23;
15.4 ## 5, 6, 7, 9, 29
For discussion W-F 4/1-3:
15.3 ## 43, 49, 53, 56;
15.4 ## 11, 15, 19, 25, 31, 40
Hand in #9, Wed. 4/1:
14.4 # 6; 14.7 # 34, 48;
15.3 ## 9, 16;
15.4 ## 12, 30

Hand in #10, by Fri. 4/3:
15.3 ## 51;
15.4 ## 21, 27, 28
  11   4/13-21 15.7-10 Triple integrals;
Change of coordinates
15.7 ## 15, 17, 21, 29, 33;
15.8 ## 15, 19, 23;
15.9 ## 1, 3, 7, 9, 17, 23, 28, 39;
15.10 ## 3, 5, 9, 13, 15, 27
Hand in #11, Mon. 4/20:
15.7 ## 14, 34, 54;
15.8 ## 16, 29; 15.9 ## 25, 41;
15.10 ## 6, 12, 18
  12   4/22-24
4/22-27
16.1-3 Vector fields;
Line integrals
16.1 ## 3, 11-14, 21, 23;
16.2 ## 1, 3, 9, 13, 19;
16.3 ## 3, 7, 13, 15, 17, 19, 23
Hand in #12, Fri. 4/24:
16.1 ## 11, 25; 16.2 ## 5, 17, 21;
16.3 ## 5, 9, 13, 20
  13   4/28-29 16.2-5 Line integrals;
Curl and divergence
16.4 ## 2, 5, 11;
16.5 ## 3, 5
Hand in #13, Tues. 4/28:
16.1 ## 4, 24, 11'; 16.2 ## 8, 22;
16.3 ## 8, 12, 28(b); 16.4 # 1; 16.5 # 1
Problem 16.1 #11': This supplements #11.
(a) What's wrong with Plot IV as a picture of #11?
(b) Draw a precise and correct picture of #11.
Sloppy pictures will be rejected.
(c) Find a vector-field formula that would
better fit Plot IV.
  Tu 4/28
F 5/1
Test III     covering Ch. 15 and Sects. 16.1-3.
  14   5/4-5 16.6-7 Green's Theorem;
Curl and divergence;
Surfaces: parametric
representation
For discussion Tu 5/5:
15.10 ## 11, 16;
16.4 ## 1, 3, 5, 7, 9, 11, 13;
16.5 ## 1, 2, 3, 5, 7, 13, 15, 17, 19, 31;
16.6 ## 1, 23; 16.7 ## 5, 7
Hand in #14, Tues. 5/5:
15.10 ## 14, 19; 16.4 ## 6, 10, 12, 22;
16.5 ## 3, 15, 17; 16.6 ## 14, 24
  15   F 5/8
(officially)
16.8-10 Stokes' theorem;
Divergence theorem
16.6 ## 25, 33, 41, 43;
16.7 ## 9, 11, 23, 25, 29;
16.8 ## 3, 5, 7, 9, 15;
16.9 ## 1, 7, 9, 11
Sect. 16.10 is a chapter review page.
Hand in #15, Mon. 5/11 at or before review session:
16.6 ## 35, 47; 16.7 ## 13, 31;
16.8 ## 2, 10; 16.9 # 12
If before 10:00 I may have it graded at the
review session.
M 5/11 Review
Session
12:50 - 2:50
in WH-G002 = OW-G002
All topics.
Emphasis on the most recent topics.
 
  W 5/13 Final exam Everything! (more or less) 5:40-7:40 p.m. University PHOTO ID is
required to take the exam.


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