Math 323 : Calculus III

Spring 2016 : Section 09
Schedule

Date Reading
& Study		 TopicsHomework exercises
for discussion on		 Hand in on Notes
1/26-30 W 12.1-2
Th 12.3
F 12.4		 Coordinate geom.;
Vectors;
Dot product, angles;
Projection;
Cross product 		Th: 12.1 ## 4, 14, 16;
  12.2 ## 4, 9, 15, 27, 41;
  12.3 ## 2, 11, 14, 25;
F: 12.4 # 1. 		F 1/29, HW 1:
12.2 ## 28, 42;
12.3 ## 16, 24, 26.
2/1-5 M 12.5
Th 12.6 		Lines and planes;
Quadric surfaces		 M: 12.2 # 19; 12.3 ## 1, 6.
W: 12.2 # 45;
  12.3 ## 28, 33, 39, 49;
  12.4 ## 3, 9, 19, 33;
  12.5 ## 9, 15.
Th: 12.5 ## 19, 27, 33, 51;
  12.6 ## 3, 9, 21-23. 		F 2/5, HW 2: 12.2 # 46;
12.3 ## 40, 42, 64;
12.4 ## 10, 30, 36;
12.5 ## 17, 20, 28, 42, 48;
12.6 ## 12, 30.
2/8-12 M 13.1
W 13.2,
  13.3
  to p. 882
  (top)
Th 13.3-4
Curves;
Velocity &
  acceleration		 M: 13.1 ## 1, 3, 7, 15, 16, 21, 29.
W: 13.1 # 47;
  13.2 ## 5, 12, 17, 21, 35, 39, 41;
  13.3 ## 1, 3, 11, 13, 17, 21.
Th: 13.2 ## 33, 47, 51;
  13.3 ## 16, 23, 25, 57;
  13.4 ## 3, 13, 15, 19.
F: 13.3 ## 47, 49, 55;
  13.4 ## 29, 45 (both optional). 		F 2/12, HW 3:
13.1 ## 28, 48;
13.2 ## 6, 18, 26, 28, 36, 42, 54;
13.3 ## 6, 14, 20, 22, 30;
13.4 ## 12, 20. 		In 13.4, omit
  Kepler's laws.
2/15-19 M 14.1-2
W 14.3
Th 14.4
  to p. 941
  (top)
F 14.4 		Functions of
  several variables;
Partial derivatives;
Chain rule;
Tangent planes		 M: 14.1 ## 9, 11, 13, 33;
  14.2 ## 5, 7.
W: 14.2 ## 9, 11, 17, 33;
  14.3 ## 5, 7, 17, 25, 35.
Th: 13.4 ## 36, 37;
  14.2 ## 19, 31, 37;
  14.3 ## 19, 27, 41, 47, 51, 53, 59;
  14.4 ## 1, 5.
F: 14.4 ## 13, 17, 25, 31, 39. 		F 2/19, HW 4:
13.4 # 40;
14.1 ## 10, 22;
14.2 ## 8, 10, 14, 36;
14.3 ## 24, 34, 50, 71, 76(a,b);
14.4 ## 4, 42.
2/22-26 M 14.5
Th 14.2
  for ε-δ 		Chain rule;
Gradient		 M: 14.3 # 95;
  14.4 ## 3, 11;
  14.5 ## 3, 7. 		Mon 2/29, HW 5:
14.4 # 26;
14.5 # 22.
2/29-3/4
W 14.6 		Gradient;
Directional
  derivatives		 M: Anything in Ch. 14.
W: 14.5 ## 1, 9, 13, 23, 27;
  14.6 ## 5, 7, 9, 11.
Th: 14.5 ## 28, 31, 32, 45, 48;
  14.6 ## 4, 6, 12, 21, 25, 31, 35.
3/7-11 Th 14.7 Max and min M: Ch. 14 Review Exer. 5, 9,
  10, 15, 19, 21, 23, 35, 37, 40.
W: TEST 1 (definite date)
F: 14.7 ## 7, 11, 15, 19, 29, 35, 39, 47. 		M 3/14, HW 6:
14.7 ## 2, 12, 32, 40. 		M: Review.
Test 1 covers
12.1-14.5.
3/14-18 M 14.8
W 15.1-3
Th 15.4
F 15.7 		Lagrange
  multipliers;
Double and
  triple integrals		 M: 14.8 ## 3, 5, 7, 15, 19.
W: 15.2 ## 1, 5, 7, 15, 25;
  15.3 ## 1, 7, 13, 15, 17, 51.
Th: 15.2 ## 17, 21, 29;
  15.3 ## 23, 43, 55, 59;
  15.4 ## 5, 7, 9, 15, 29.
F: 15.7 ## 1, 3, 9. 		F 3/18, HW 7:
14.8 ## 12, 20;
15.2 ## 8, 18, 28, 31;
15.3 ## 20, 26, 44, 60;
15.4 ## 12, 30, 37.
15.1: Omit
numerical
methods.
3/21-24 M 15.8
W 15.9
Th 15.10 		Triple integrals M: 15.7 ## 5, 17, 21, 27, 29, 53;
  15.8 ## 3, 11, 17, 19, 23, 29.
W: 15.9 ## 11, 15, 17, 21, 23, 27, 39.
Th: 15.10 ## 1, 3, 7, 11. 		Th 3/24, HW 8:
15.4 # 18;
15.7 ## 6, 12, 14, 33, 54;
15.8 ## 12, 14, 22, 30;
15.9 ## 2, 4, 8, 10, 22.
4/4-8 M 16.1
W 16.2 		Vector fields;
Line integrals		 W: 16.1 ## 1, 3, 11-12, 21, 25;
  16.2 ## 1, 3, 5, 17, 19.
Th: 16.1 ## 13-14;
  16.2 ## 15, 21, 27(integral), 29(a), 33.
F: 15.10 ## 15, 19, 21(a), 23, 27. 		Th 4/7, HW 9:
16.1 ## 15-18, 22;
16.2 ## 2, 8, 20. 		F: Test 2 review
4/11-15 W 16.3
Th 16.4 		Line integrals;
Green's Theorem		 M: TEST 2
W: 16.2 ## 13, 41, 49.
      Research Day
Th: Class was cancelled 		F 4/15 M 4/18, HW 10:
16.2 ## 12, 22, 48;
16.3 ## 4, 12. 		Test 2 covers
14.6-15.4,
15.7-15.10,
average values.
4/18-21 M 16.4
W 16.5
Th 15.10 		Green's Theorem;
Curl & divergence;
Change of
  variables		 W: 16.3 ## 19, 29, 30;
  16.4 ## 13, 17, 27;
  16.5 ## 1, 5, 13, 15.
Th: 16.5 ## 19; 15.10 ## 9, 13.
F: Passover holiday 		Th 4/21, HW 11: 16.2 # 30(a);
16.3 ## 14, 33, 34;
16.4 ## 4, 12, 18, 28;
16.5 ## 4, 14, 23;
15.10 ## 8, 12.
4/25-29 M 16.6
W 16.7
Th 15.6
F 16.8 		Surface area &
  surface integrals;
Stokes' Theorem		 M: 16.6 ## 1, 3, 5, 19, 33.
W: 16.6 ## 23, 25, 35, 41, 43;
  16.7 ## 5, 7, 15, 21, 25.
Th: 16.6 ## 21, 45; 15.6 ## 5, 7, 11;
  16.7 ## 17, 23, 27-29;
F: 16.8 ## 3, 7, 13. 		F 4/29, HW 12:
16.6 ## 2, 4, 20, 26, 34, 42;
16.7 ## 8, 12, 22, 26;
16.8 ## 2, 4, 8, 10, 14;
15.6 ## 8, 21. 		"Verify Stokes'
Theorem" means
compare both
integrals
in the theorem.
5/2-6 Th 16.9 Stokes' Theorem;
Divergence
 (Gauss's) theorem		 M: 16.6 ## 36, 48;
  16.7 ## 16, 18, 40, 42, 43;
  16.8 ## 5, 9.
W: TEST 3
F: 16.8 # 18; 16.9 ## 1, 5. 		M 5/9, HW 13:
16.8 ## 16;
16.9 ## 6, 8, 14, 24, 26. 		Test 3 covers
Sections 15.6,
15.10, and 16.1-7.
5/9-11 M 16.9,
 16.10 		Divergence
  theorem;
Review		 M: 16.8 # 17;
  16.9 ## 3, 7, 10, 13, 17, 27.
W: 16.8 # 20(a);
  16.9 ## 18, 20, 28;
  Ch. Rev. p. 1161 # 19.
   
   
  –     M 5/16  
FINAL      
  EXAM
   3:15–5:15  
      in S1-149		 Comprehensive, omitting what was omitted during the course.
There will be more emphasis on the later part of the course, especially Ch. 16.

To the main class page.
To my (old) home page.