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Chapter 12: Vectors and the Geometry of Space W
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Wed 22 Jan
12.1 Three-Dimensional Coordinate Systems
HW Problems: 5, 6, 8, 10, 12, 14, 18, 20 (Hint-use 19a), 22, 27, 30, 32, 34, 36, 38
HW 1

due

Fri

31 Jan
Fri 24 Jan
12.2 Vectors
HW Problems: 2, 4, 5, 6, 20, 22, 24, 26, 27, 31, 41
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Mon 27 Jan
12.3 The Dot Product
HW Problems: 1, 7, 8, 9, 10, 13, 17, 18, 22, 25, 26, 29, 30, 41, 42, 47, 48
Topics omitted from this section: Direction Angles and Direction Cosines
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Wed 29 Jan
12.4 The Cross Product
HW Problems: 4, 6, 9, 10, 15, 16, 23, 24, prove property 5 of Theorem 8 on page 807
Topics omitted from this section: Volume of the parallelepiped
Fri 31 Jan
12.5 Equations of Lines and Planes
HW Problems: 1, 4, 8, 11, 12, 14, 17, 18, 24, 26, 28, 34, 36, 42, 44, 50, 61, 62, 63, 64
HW 2

due

Fri

7 Feb
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Mon 03 Feb
12.5 Equations of Lines and Planes (contd.)
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Wed 05 Feb
12.5 Equations of Lines and Planes (contd.)
Fri 07 Feb
12.6 Cylinders and Quadric Surfaces
HW Problems: 11, 13, 20, 21-28, 30, 32, 34, 36, 43, 44
HW 3

due

Fri

14 Feb
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Mon 10 Feb
12.7 Cylindrical and Spherical Coordinates
HW Problems: 8, 10, 18, 20, 26, 31, 32, 33, 34, 35, 36, 42, 43, 47, 49-52, 58
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Chapter 13: Vector Functions
Wed 12 Feb
13.1 Vector Functions and Space Curves
HW Problems: 7-12, 13, 14, 15, 16, 17, 18, 19, 20, 22
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Fri 14 Feb
Class cancelled
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Mon 17 Feb
13.1 Vector Functions and Space Curves (contd.)
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Wed 19 Feb
13.2 Derivatives and Integrals of Vector Functions
HW Problems: 4, 5, 6, 14, 16, 18, 24, 26, 29, 32, 36, 37, 38, prove part 5 of Theorem 5 on page 846
Fri 21 Feb
13.3 Arc Length and Curvature
HW Problems: 1, 2, 3, 4, 7, 8, 9, 10
Topics omitted from this section: Curvature
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Mon 24 Feb
E X A M 1
Covers sections: 12.1 through 13.3
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Wed 26 Feb
13.4 Motion in Space: Velocity and Acceleration
HW Problems: 1, 2, 3, 6, 10, 13, 14, 15, 16, 22, 30, 31, 32
HW 4
due Fri
28 Feb
Chapter 14: Partial Derivatives
Fri 28 Feb
14.1 Functions of Several Variables
HW Problems: 6, 7, 8, 10, 13, 15, 18, 22, 24, 28, 30, 41, 51-56
HW 5

due

Fri

7 Mar
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Mon 03 Mar
14.2 Limits and Continuity
HW Problems: 2, 5, 6, 10, 16, 15, 20, 23, 24, 27-29, 30, 31-33, 34, 35, 36, 37, 38
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Wed 05 Mar
14.3 Partial Derivatives
HW Problems: 1, 2, 5, 6, 8, 14, 16, 18, 20, 24, 26, 30, 32, 34, 43, 44, 52, 56, 58, 60, 64, 66c, 67
Fri 07 Mar
14.4 Tangent Planes and Linear Approximations
HW Problems: 1, 2, 3, 4, 5, 6, 11, 12, 13, 14, 15, 16, 17, 19, 20
Topics omitted from this section: Differentials
HW 6

due

Fri

14 Mar
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Mon 10 Mar
14.4 Tangent Planes and Linear Approximations (contd.) W
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Wed 12 Mar
14.5 Chain Rule
HW Problems: 2, 4, 7, 10, 11, 13, 14, 17, 18, 25, 26, 28, 29, 30, 34, 36, 37, 40
Fri 14 Mar
14.6 Directional Derivatives and the Gradient Vector
HW Problems: 4, 6, 8, 10, 16, 18, 20, 24, 26, 28, 32, 35, 38, 40, 47, 53, 61
HW 7

due

Fri

21 Mar
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Mon 17 Mar
14.6 Directional Derivatives and the Gradient Vector (contd.) W
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Wed 19 Mar
14.7 Maximum and Minimum Values
HW Problems: 3, 4, 5, 6, 7, 10, 12, 14, 18, 27, 28, 32, 38, 46
Fri 21 Mar
14.7 Maximum and Minimum Values (contd.)
 
Mon 24 Mar
Wed 26 Mar
Fri 28 Mar
Spring Break -- No Classes.
 
 
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Mon 31 Mar
14.8 Lagrange Multipliers
HW Problems: 1, 4, 6, 8, 10, 14, 16, 24, 38
HW 8
due Fri
4 Apr
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Chapter 15: Multiple Integrals
Wed 02 Apr
15.1 Double Integrals over Rectangles
HW Problems: 2, 4, 6, 10, 12, 14
HW 9

due

Fri

11 Apr
Fri 04 Apr
15.1 Double Integrals over Rectangles (contd.)
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Mon 7 Apr
E X A M 2
Covers sections: 14.1 through 14.8
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Wed 9 Apr
15.2 Iterated Integrals
HW Problems: 6, 8, 10, 11, 15, 16, 20, 26, 28, 34
Fri 11 Apr
15.3 Double Integrals over General Regions
Homework Problems: 10, 12, 15, 16, 18, 20, 22, 24, 26, 28, 33, 34, 35, 36, 37, 38, 40, 42, 45, 46
HW 10

due

Fri

18 Apr
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Mon 14 Apr
15.3 Double Integrals over General Regions (cont.) W
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Wed 16 Apr
15.4 Double Integrals in Polar Coordinates
HW Problems: 1, 2, 3, 4, 5, 6, 8, 10, 12, 16, 18, 20, 22, 24
Fri 18 Apr
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Mon 21 Apr
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13
Wed 23 Apr
Fri 25 Apr
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14
Mon 28 Apr
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14
Wed 30 Apr
Fri 02 May
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15
Mon 05 May
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15
Wed 07 May
Fri 09 May
No class -- Reading Period

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