Math 251 . Sections 11-13

Spring 2010

Prof. Stephen Miller

 

Lecture: Tuesdays and Fridays from Noon.1:20 pm

In William Levine Hall, room 111 (Pharmacy School)

 

TA: Dan Staley

 

Sections:

 

W3 12:00 PM - 1:20 PM ARC-204

W4 1:40 PM - 3:00 PM SEC-212 BUS

W5 3:20 PM - 4:40 PM SEC-206 BUS

 

Textbook:

Jon Rogawski, Calculus Early Transcendentals, W. H. Freeman and Company, ISBN 1-4292-1113-X.

 

Homework due dates (all homework is due in section):

Maple Assignment 1: Due February 3.

Maple Assignment 2: Due February 10.

Maple Assignment 3: Due February 17.

Maple Assignment 4: Due March 24.

 

HW Assignment 1: All assigned problems from 14.6 & 14.7. Due February 24.

HW Assignment 2: All assigned problems from 15.1 & 15.2. Due March 10.

HW Assignment 3: All assigned problems from 16.1 & 16.2. Due April 7.

HW Assignment 4: All assigned problems from 16.5. Due April 21.

HW Assignment 5: All assigned problems from 17.1 & 17.2. Due April 28.

 

 

Syllabus and suggested textbook homework problems

(adapted from the main 251 Course site)

Lecture

Topic(s) and text sections

Suggested problems

1/19

12.1 Vectors in the Plane
12.2 Vectors in Three Dimensions

12.1: 5, 9, 11, 15, 21, 40, 47
12.2: 11, 13, 19, 25, 27, 31, 51

1/22

12.3 Dot Product and the Angle Between Two Vectors
12.4 The Cross Product

12.3: 1, 13, 21, 29, 31, 52, 57, 63
12.4: 1, 5, 13, 20, 25, 26, 43, 44

1/26

12.5 Planes in Three-Space

12.5: 1, 9, 11, 15, 25, 31, 53

1/29

13.1 Vector-Valued Functions
13.2 Calculus of Vector-Valued Functions

13.1: 5, 13, 15, 18
13.2: 4, 14, 30, 31, 33, 41, 49

2/2

13.3 Arc Length and Speed
13.4 Curvature
13.5 Motion in Three-Space

13.3: 3, 9, 13, 14
13.4: 1, 7, 17, 21
13.5: 3, 6, 32

2/5

14.1 Functions of Two or More Variables
14.2 Limits and Continuity in Several Variables

14.1: 7, 20, 23, 27, 36, 40
14.2: 5, 15, 27, 35

2/9

14.3 Partial Derivatives
14.4 Differentiability, Linear Approximation and Tangent Planes

14.3: 3, 19, 21, 39, 47, 50, 53
14.4: 3, 4, 7, 15, 27, 33

2/12

14.5 The Gradient and Directional Derivatives

14.5: 7, 13, 27, 31, 33, 37, 39, 43

2/16

14.6 The Chain Rule

14.6: 1, 5, 7, 17, 20, 23, 27, 30

12/19

14.7 Optimization in Several Variables

14.7: 1, 3, 7, 17, 19, 24, 25, 27, 29

12/23

14.8 Lagrange Multipliers: Optimizing with a Constraint

14.8: 2, 7, 11, 13, 15

2/26

First 251 Midterm

3/2

15.1 Integration in Several Variables

15.1: 10, 15, 23, 25, 33, 37, 44

3/5

15.2 Double Integrals over More General Regions

15.2: 3, 5, 11, 25, 32, 37, 43, 45, 49, 59

3/9

15.3 Triple Integrals

15.3: 3, 5, 11, 15, 17, 25, 33

3/12

12.7 Cylindrical and Spherical Coordinates
15.4 Integration in Polar, Cylindrical, and Spherical Coordinates

12.7: 1, 5, 23, 31, 41, 43, 48, 53
15.4: 1, 5, 9, 19, 23, 27, 31, 37, 39, 42, 47, 51, 59

3/23

3/26

15.5 Change of Variables

15.5: 1, 5, 14, 15, 21, 29, 33, 37

3/30

16.1 Vector Fields

16.1: 1, 3, 10, 17, 23, 27

4/2

16.2 Line Integrals

16.2: 3, 9, 13, 21, 27, 35, 39, 40

4/6

16.3 Conservative Vector Fields

16.3: 1, 5, 9, 13, 17, 19, 21

4/9

16.4 Parameterized Surfaces and Surface Integrals

16.4: 1, 5, 8, 11, 19, 21, 37

4/13

16.5 Surface Integrals of Vector Fields

16.5: 1, 6, 9, 12, 15, 17, 23

4/16

Second Midterm (covers from 1st midterm to 16.4)

4/20

17.1 Green's Theorem

17.1: 1, 3, 6, 9, 12, 23, 27

4/23

17.2 Stokes' Theorem

17.2: 1, 5, 9, 11, 19, 23

4/27

17.3 Divergence Theorem

17.3: 1, 5, 7, 11, 14, 15, 18

4/30

Catch up & review; possible discussion of some applications of vector analysis.

 

Course Policies: Grading is based on the following scheme:

·        20% for each midterm (totaling 40%)

·        40% for the final

·        20% for homework and class participation.