Calculus III
92.231 section 205
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Class Date 

Topics

Section

Assignments Due

1/28 Three-Dimensional Coordinate Systems 9.1 # 3, 5, 6, 8, 11, 14, 15, 17   Due 1/30
1/29 Vectors 9.2 # 5, 7, 9, 17, 19, 23 Due 2/4
1/30 The Dot Product 9.3 # 1-9 odd, 13, 17, 23, 29 Due 2/5
2/2 The Cross Product 9.4 # 1, 3, 5, 7, 13, 17, 21, 25, 27, 28 Due 2/6
2/4, 5 Equations of Lines and Planes 9.5 # 1, 3, 5, 7, 10, 11, 13, 15, 23, 27, 29  Due 2/9
2/6 Vector Functions and Space Curves 10.1 # 11, 13, 27  Due 2/11
2/9 Derivatives and Integrals of Vector Functions 10.2 # 5, 9, 15, 19, 31  Due 2/12
2/11, 12 Arc Length and Curvature 10.3  # 1, 3, 11, 15, 26, 37  Due 2/19
2/13 Motion in Space 10.4 # 3, 6, 9, 13, 29  Due 2/25
2/16
Presidents Day - University Closed
 
 
2/18 Functions of Several Variables 11.1 # 5, 7, 15, 19, 37  Due 2/26
2/19
Monday Class Schedule
Catch Up Day
 
2/20
Exam # 1 on sections 9.1 - 9.5, 10.1 - 10.4
 
 
2/23 Functions and Surfaces 9.6 # 3 - 13 odd, 17, 19  Due 2/27
2/25 Cylindrical and Spherical Coordinates 9.7 # 3 - 15 odd, 21, 23  Due 3/1
2/26 Parametric Surfaces 10.5 # 17, 19, 21, 23  Due 3/3
2/27 Partial Derivatives 11.3 # 1, 5, 15, 17, 25, 35, 49  Due 3/4
3/1, 3
Tangent Planes and Linear Approximations
11.4
# 3, 13, 19, 21, 23, 25, 33 (equation only) Due 3/5
3/4 The Chain Rule 11.5 # 1, 3, 5, 9, 15, 31, 33   Due 3/8
3/5, 8 Directional Derivatives and the Gradient Vector 11.6 # 1, 7, 9, 13, 17, 19, 21, 23, 35, 37, 49  Due 3/11
3/10 Maximum and Minimum Values 11.7 # 1, 3, 5, 9, 31, 33  Due 3/12
3/11 Double integrals over rectangles 12.1 # 3, 5, 11, 13  Due 3/22
3/12 Iterated integrals 12.2 # 3, 5, 7, 11, 13, 17, 19, 25  Due 3/24
3/15 - 19
Spring Break - No Classes
 
 
3/22, 24
Double integrals over General Regions 12.3 # 3, 5, 7, 9, 13, 17, 23, 33, 37  Due 3/29
3/25 Catch Up Day
 
 
3/26 Exam # 2 on sections 9.6, 9.7, 10.5, 11.1, 11.3 - 11.7, 12.1, 12.2
 
 
3/29, 31 Double integrals in Polar Coordinates 12.4 # 1 - 11 odd, 15, 19, 25  Due 4/2
4/1, 2 Applications of Double Integrals 12.5 # 3, 13  Due 4/7
4/5 Surface Area 12.6 # 1 - 7 odd  Due 4/8
4/7, 8 Triple Integrals 12.7 # 3 - 11 odd, 17, 45  Due 4/12
4/9, 12 Triple Integrals in Cylindrical and Spherical Coordinates 12.8 # 7, 9, 11, 15, 17, 19  Due 4/15
4/14 Vector fields 13.1 # 1, 5, 11-14, 21, 23  Due 4/16
4/15, 16 Line Integrals 13.2 # 1-9 odd, 17, 33  Due 4/26
4/19
Patriots Day - University Closed
 
 
4/21
Monday Class Schedule
The Fundamental Theorem for Line Integrals
13.3
# 3, 7, 13, 19, 21  Due 4/28
4/22
The Fundamental Theorem for Line Integrals (cont.)
13.3
# 3, 7, 13, 19, 21  Due 4/28
4/23
Exam # 3 on sections 12.3 - 12.8, 13.1, 13.2
 
 
4/26 Green’s Theorem 13.4 # 3, 7, 9, 15, 17  Due 5/3
4/28 Curl and Divergence 13.5 # 1, 5, 13, 15  Optional.
Due 5/14 (No extension)
4/29
Student Research Symposium - No Class
 
 
4/30
University Day - No Classes
 
 
5/3, 5 Surface Integrals 13.6 # 5, 9, 19, 23  Optional.
Due 5/14 (No extension)
5/6 Stokes’ Theorem 13.7 # 1, 3, 7, 13  Optional.
Due 5/14 (No extension)
5/7 The Divergence Theorem 13.8 # 6, 7, 9, 13  Optional.
Due 5/14 (No extension)
5/10 - 14
Catch-up and Review days.    

 

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