Sheldon Lee’s M261 Calculus III

Spring 2007, Section 006 3:00 - 3:50

Office Hours:  Monday 4 – 5, Tuesday 2 – 3, Thursday 12 – 1, Friday 1 – 2.

Final Exam Solutions

The final exam has been graded and curved.  The results of the final (raw and curved) have been posted on RamCT.  The median score (uncurved) for our section was 108, and was 90 over all sections.  The high score (uncurved) for our section was 174.

I have also posted your exam sum using the best of the three grading strategies, as well as your homework and quiz sums.  To compute your final grade, add these three numbers, and use:
A 585 – 650
B 520 – 585
C 455 – 519
D 390 – 454

Assignment Log

Due Date

Section and Problems

HW1: 8/24

10.1 15, 21, 29, 39, 42, 43

12.1 3, 7, 12, 15, 22, 27, 31, 37, 42, 47, 51

12.2 7, 11, 13, 16, 19, 21, 25, 31, 34, 37, 39

HW2: 8/31

12.3 3, 7, 11, 15, 19, 27, 31, 35, 41, 49, 53

12.4 8, 11, 16, 21, 23, 27, 36, 39

12.5 1, 5, 8, 15, 20, 23, 26, 29, 35, 40, 47, 51, 55, 57, 59

HW3: 9/7

12.6 1 - 12, 15, 19, 23, 27, 33, 37

13.1 7, 11, 17, 19, 24, 29, 35, 39

13.3 5, 8, 9, 11, 14, 15

Not collected

13.4 2, 3, 7, 9, 14, 21

13.5 5, 7, 8, 12, 13, 15, 23

HW4: 9/21

14.1 1, 5, 9, 11, 13 – 18, 27, 32, 35, 42

14.2 5, 9, 10, 13, 15, 25, 29, 31, 37, 42

HW5: 9/28

14.3 5, 14, 15, 25, 30, 33, 38, 43, 45, 47, 53, 57, 65
14.4 3, 8, 9, 12, 19, 23, 27, 29, 35, 37

14.5 4, 5, 11, 15, 16, 21, 29, 33

HW6: 10/5

14.6 5, 7, 11, 13, 16, 17, 21, 28, 31, 39, 44, 45, 48

14.7 3, 11, 17, 24, 33, 37

Not collected

14.8 7, 11, 13, 16, 23, 30, 31, 36

HW7: 10/19

14.10 3, 4, 7, (Quadratic only 9, 10)

15.1 5, 8, 13, 15, 18, 25, 32, 35, 46, 53)

HW8: 10/26

15.2 9, 12, 17, 32, 35

15.3 10, 13, 19, 20, 21, 25

15.4 2, 5, 6, 13, 16, 21, 23, 31, 35, 42

HW9: 11/2

15.5 4a, 7, 15, 16, 17 (Compute mass and center of mass only)

15.6 5, 6, 9, 12, 19, 20, 23, 38, 39, 47, 51, 58

Not collected

15.7 3, 7, 10, 17

16.1 5, 15, 16, 21, 22, 25

HW10: 11/16

16.2 3, 5, 10, 13, 20, 27, 31, 38, 43

16.3 5, 10, 15, 19, 26, 31

HW11: 11/30

16.4 3, 9, 10, 15, 19, 24

16.5 1, 3, 5, 9, 10, 13, 15, 19, 23, 28, 29

HW12: 12/5

16.6 3, 6, 11, 15, 20, 25, 31, 33, 40, 45

 

16.7 1, 3, 5, 7, 9, 15, 17, 22

16.8 5, 7, 9, 11, 13, 15, 17a, 23a, 29, 30

Class Journal

Day

Sections Covered

Notes

M 8/20

10.1 Conic Sections and Quadratic Equations

10.1

T 8/21

12.1 Three-Dimensional Coordinate Systems

12.1

W 8/22

12.2 Vectors, Quiz 1

12.2

F 8/24

12.3 The Dot Product

12.3

M 8/27

12.4 The Cross Product

12.4

T 8/28

12.5 Lines and Planes in Space

12.5

W 8/29

12.5 continued, Quiz 2

12.5b

F 8/31

12.6 Cylinders and Quadric Surfaces, 13.1

12.6

T 9/4

13.1 Vector Functions

13.1

W 9/5

13.3 Arc Length and the Unit Tangent Vector T, Quiz 3

13.3

F 9/7

13.4 Curvature and the Unit Normal Vector N

13.4

M 9/10

13.5 Torsion and the Unit Binormal Vector B

13.5

T 9/11

13.5 questions, Quiz 4

 

W 9/12

Review

 

Th 9/13

Exam 1

 

M 9/17

14.1 Functions of Several Variables

14.1, 14.1*

T 9/18

14.2 Limits and Continuity in Higher Dimensions

14.2

W 9/19

14.3 Partial Derivatives, Quiz 5

14.3

Fri 9/21

14.3 continued

14.3b

Mon 9/24

14.4 The Chain Rule

14.4

Tues 9/25

14.5 Directional Derivatives

14.5

Wed 9/26

14.5 continued, Quiz 6

 

Fri 9/28

14.6 Tangent Planes and Differentials

14.6

Mon 10/1

14.6 continued

 

Tues 10/2

14.7 Local Extrema and Saddle Points

14.7

Wed 10/3

14.7 continued, Quiz 7

 

Fri 10/5

14.8 Lagrange Multipliers

14.8

Mon 10/8

14.8 continued

 

Tues 10/9

Review, Quiz 8

 

Wed 10/10

Review

 

Th 10/11

Exam 2

 

M 10/15

14.10 Taylor’s Formula in Two Variables

 

T 10/16

15.1 Double Integrals

15.1

W 10/17

15.1 continued, Quiz 9

 

F 10/19

15.2 Area, Moment, and Center of Mass

15.2

M 10/22

15.3 Double Integrals in Polar Form

15.3

T 10/23

15.4 Triple Integrals in Rectangular Coordinates

 

W 10/24

15.4 continued, Quiz 10

 

F 10/26

15.5 Masses and Moments in Three Dimensions

15.5

M 10/29

15.6 Triple Integrals in Spherical and Cylindrical Coordinates

15.6, fix

T 10/30

15.6 continued

 

W 10/31

15.6 continued, Quiz 11

 

F 11/2

15.7 Substitutions in Multiple Integrals

 

M 11/5

16.1 Line Integrals

 

T 11/6

Quiz 12

 

W 11/7

 

 

Th 11/8

Exam 3

 

M 11/12

16.2 Vector Fields, Work, Circulation, and Flux

16.2

T 11/13

16.3 Path Independence, Potential Functions, and Conservative Fields

16.3

W 11/14

16.3 continued, Quiz 13

 

F 11/16

16.4 Green’s Theorem

16.4

M 11/26

16.4 continued

 

T 11/27

16.5 Surface Area and Surface Integrals

16.5

W 11/28

16.5 continued, Quiz 14

 

F 11/30

16.6 Parameterized Surfaces

16.6

M 12/3

16.7 Stokes’ Theorem

16.7

T 12/4

16.8 The Divergence Theorem

16.8

W 12/5

16.8 continued, Quiz 15

 

F 12/7

Ch. 16 Review

 

Course Syllabus

Course Schedule

Quiz Solutions: Quiz 1, Quiz 2, Quiz 3, Quiz 4, Quiz 5, Quiz 6, Quiz 7, Quiz 8, Quiz 9, Quiz 10, Quiz 11, Quiz 12, Quiz 13, Quiz 14, Quiz 15

Homework Solutions: HW1, HW2, HW3, HW4, HW5, 14.4 #8, 12, HW6, HW7, HW8, HW9, HW10, HW11, HW12

Links

·        Math Homepage

·        RamCT

·        Sheldon Lee's personal homepage

Old Materials

Test 1 Study Guide
Practice Test 1
Solutions to Practice Test 1

Test 1 Curve:
84 – 100 A
65 – 83 B
46 – 64 C
40 – 45 D
Test 1 Answer Key

Test 2 Review and Practice Problems          Solutions
Spring 2007 Test                                            Solutions

Test 2 Answer Key

Test 3 Sample Test                Solutions         Solution Fix (5b)

Test 3 Information

Sample Final
Solutions         Fix for #7,8

Ch. 16 Summary

Some 16.6 Solutions

Solutions to the Chapter 16 Practice Exercises