Assignments

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Mathematics 213        Calculus III

 

This calendar is tentative and subject to change at any time by the instructor. 

Exclude any parts of a problem that require a calculator or computer.  

 

Date
TOPIC OF THE DAY
Page
HW Due at Next Meeting
2/7
Introduction
12.1  3-D Coordinate Systems
663
3-66 by 3’s

2/7
12.2  Vectors
 672
3-51 by 3’s
2/9
12.3  The Dot Product
 680
3-48 by 3’s

2/9
12.4  The Cross Product

686
3-48 by 3’s

2/14
12.5  Lines and Planes in Space I
 694
3-48 by 3’s

2/14
12.5  Lines and Planes in Space II
 695
54-72 by 3’s

2/16
12.6  Cylinders and Quadric Surfaces
 700
3-48 by 3’s

2/16
Review
 702
5-75 by 5's

2/21
TEST 1:  Chapter 12
    

2/21
13.1  Curves and Tangents in Space
 713
3-33 by 3’s

2/23
13.2  Integration of Vector-Valued Functions
 720
 3-36 by 3's

2/23
13.3  Arc Length in Space
727
3-21 by 3’s

2/28
13.4  Curvature and Normal Vectors
 733
3-24 by 3’s

2/28
13.5  Tangents and Normals of Acceleration
 738
3-27 by 3’s

3/1

 13.6  Velocity and Acceleration in Polar Coordinates 742
2-10 evens

3/1
Review Chapter 13
 743
3-27 by 3’s

3/6
TEST 2:  Chapter 13
    

3/6
14.1  Functions of Several Variables
 753
 3-66 by 3's

3/8
14.2  Limits and Continuity
 761
3-51 by 3’s

3/8
14.3  Partial Derivatives I
 772
3-54 by 3’s

3/13
14.3  Partial Derivatives II 
773
57-66 by 3’s

3/13
14.4  Chain Rules for Multivariable Functions
 782
3-36 by 3’s,

3/15
14.5  Directional Derivatives and Gradients
790
3-39 by 3’s

3/15

14.6  Tangent Planes and Differentials

 799
3-60 by 3’s

3/20
14.7  Extrema and Saddles
 808
3-63 by 3’s

3/22

14.8  Lagrange Multipliers

 818
3-42 by 3’s

3/22
14.9  Taylor's Formula for Two Variables
824

2-12 even

3/27
14.10  Partial Derivatives with Constraints
 828
2-12 even

3/27
Review Chapter 14
 829

 5-95 by 5's

3/29

TEST 3:  Chapter 14

    

 
SPRING BREAK
  
 

4/10

15.1  Double and Iterated Integrals over Rectangles

 840
3-27 by 3’s

4/10
15.2  Double Integrals over General Regions
 847
3-72 by 3’s

4/12

15.3  Area by Double Integration

 852
3-24 by 3’s

4/12

15.4  Double Integrals in Polar Form

 857
3-39 by 3’s

4/17

15.5  Triple Integrals in Rectangular Coordinates

 865
3-45 by 3’s

4/17
15.6  Moments and Centers of Mass
 873
3-33 by 3’s

4/19
15.7  Triple Integrals in Cylindrical and Spherical Coords
 883
3-81 by 3’s

4/24
15.8  Change of Variables:  Jacobians
 894
3-24 by 3’s

4/24
Review Chapter 15
 896
3-51 by 3’s

4/26

TEST 4:  Chapter 15

  
 

4/26

16.1  Line Integrals

 905
3-39 by 3’s

5/1
16.2  Vector Fields, Line Integrals, Work, Circulaltion, Flux
 917
3-51 by 3’s

5/1
16.3  Conservative Vector Fields; Independence of Path
 929

3-30 by 3’s

5/3
16.4  Green’s Theorem in the Plane
 940
3-33 by 3’s

5/3
16.5  Surfaces and Area
 951
3-54 by 3’s

5/8
16.6  Surface Integrals
 960
3-45 by 3’s

5/8
16.7  Stokes’s Theorem
 970
3-18 by 3’s

5/10
16.8  Divergence Theorem
 981
3-24 by 3’s

5/10
Review Chapter 16
 983
5-60 by 5’s

5/15
TEST 5:  Chapter 16
 
 

5/15
Selection of Showcase Problems
 
 

5/17
Chapter 12 Showcase Problem due
    

5/17

Chapter 13 Showcase Problem due

 

 

5/22
Chapter 14 Showcase Problem due
 
 

5/22

 Chapter 15 Showcase Problem due

 

 

5/24
Chapter 16 Showcase Problem due
 
 

5/24

Review
 
 

5/29

Review
 
 

5/29
Review
 
 

5/31
Final Exam
 
 
   
 
 

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