Spring 2007 MAT 203 Calculus III with Applications

Announcements

1. Final exam statistics - The average was 130, much higher than I expected (100-110). 9 people got above 90%(=180). Among those people, 3 people got over 200 due to the extra credit problem. I am extremely pleased with the result. Many of you worked hard and showed on the final that you did. If you want to see the final exam answers, click here.

 

 

2. What to study for the FINAL EXAM. <-- CLICK!!!
3. MIDTERM EXAM solution is posted. Please click HERE.
4. Special material about flux is posted. Please click HERE.
5. This special material WILL appear on the final exam.

General Information

Instructor

Daniel An  danan@math.sunysb.edu
Math Tower 2-112
Office Hours : 10AM-11AM Wednesday and Thursday @ MLC*

Time/Place

Tuesday and Thursday 8:20AM to 9:40AM  @ Heavy Engineering Lab 201

Grader

Guan-Yu Shi  guanshi@math.sunysb.edu
Math Tower 2-106
Office Hours : 10AM-12Noon Monday @ MLC*

Textbook

 Multivariable Calculus (8th ed.),
                  Larson, Hostetler and Edwards  Houghton Mifflin Company

Grading

Homework(15%) Quiz (15%) Midterm(30%) Final(40%)

Prerequisites

Calculus I and II

 *MLC stands for Math Learning Center, and it is located at the basement of Math Tower (S-240).

Homeworks

#

Due

Homework (Problems are from the textbook)

1

 Feb 6th 2007

 11.1 7,50,54,68 11.2 28,36,39,66 11.3 13,18,49(For 49, answer only part a))
 11.4 8,35,46 11.5 5,11,16,43,49,61

2

 Feb 20th 2007

13.1 55 11.6 14, 21, 22, 24 (For 21-24 no computer algebra neccesary.), 49  11.7 3,10,25,47,54
12.1 7,14,26,28,35,50,52,61,65

3

 Mar 1st 2007

12.2 25,55,68 13.3 9,19,35,45,53,63,73 12.3 13 12.4 13,25,29 12.5 2,11,21,27,29,37  (You must show all your work in order to get full credit)

4

 Mar 27th 2007

13.10 3,9,11,13,14 14.1 19,23,26,31,33,37,45,61,63
14.2 17,21,25,37,39,52

5

 Apr 12th 2007

14.8 9,11,13,17,21,22 14.3 9,13,17,19,21,27,31
14.4 7,11,15,19,21

6

 Apr 26th 2007

14.5 7,11,30 14.6 17,21,24,26,33 15.1 9,10,35,41
15.2 9,21,29,37,39,51,55

7

 Collected at the  Final Exam

15.1 53,71,73 15.3 15,27
15.4 7,13,19
15.5 28, 35,41(for 35 and 41, setup but do not evaluate the integral)
15.6 15,17,25,29(Do not use divergence thoerem for 29)
15.7 2(Must integrate in two different ways as told),
      11(No computer algebra system necessary)
15.8 13(No computer algebra system necessary)

 

Syllabus

Date

Material To Be Covered

Remark

23-Jan-07

11.1    Vectors in the plane  
11.2    Space coordinates and Vectors in space

We will cover: Vector operations, Absolute value, Unit vector, Eq. of Sphere, Midpoint rule, Parallel vectors

25-Jan-07

11.3    The Dot product of two vectors

We will cover: Dot product, Angle, Orthogonality, Direction Cosines, Projection

30-Jan-07

11.4    The Cross product of Two vectors in space
11.5    Lines and Planes in Space

We will cover: (in 11.4) Cross product, Determinent, Area of triangle, Triple Scalar product. (in 11.5) Eq. of lines and plane. Angle between two planes

1-Feb-07

13.1    Intro to Functions of Several Variables
11.6    Surface in space

   (Important: Bring your Text Book!!!)

For 13.1 we will cover Level Curves and Contour Map only
For 11.6 we will cover Graphs of Cylindrical and Quadric Surfaces, Finding the equation of Surface of Revolution 
Quiz on 11.4

6-Feb-07

11.7    Cylindrical and Spherical Coordinates

Various conversion between Cartesian, cylindrical and spherical coordinates

8-Feb-07

12.1    Vector-valued functions
12.2 (1)        Differentiation and Integration of Vector-Valued Functions
13.3    Partial Derivatives

curve, limit, continuity
Differentiation of Vector Valued Functions, Bicycle and Cycloids, Properties of the Derivative
Definition and Calculation of Partial Derivatives, Mixed Partial derivatives

13-Feb-07

***     Differentiation of Functions from R^n to R^m
12.2 (2)        Differentiation and Integration of Vector-Valued Functions

1. Special Material on Differentiation of Functions from R^n to R^m
2. Integration of Vector valued Function

15-Feb-07

12.3    Velocity and Acceleration
12.4    Tangent Vectors and Normal Vectors

12.3 Finding Velocity, Speed and Acceleration (example 1 only)
12.4 Example 1-Example 3
Quiz on 11.6

20-Feb-07

12.5    Arc Length and Curvature

Example 1-Example 6

22-Feb-07

13.5    Chain Rules for Functions of Several Variables

Note that 13.2 and 13.4 are skipped. In 13.5 everything is included

27-Feb-07

13.6    Directional Derivatives and Gradients
13.7    Tangent Planes and Normal Lines

13.6 Exclude example 6
13.7 Cover only Example 2 and Example 3.

1-Mar-07

13.8    Extrema of Functions of Two Variables

 Definitions of absolute and relative extrema. Second derivative test.

6-Mar-07

No Class (Note: This is not official. Other classes will be in session.)

Stony Brook Day in Albany. Office hours as usual in MLC.

8-Mar-07

Midterm Exam

Exam will take place in class. 11.1-13.8, read all about it here.

13-Mar-07

13.10   Lagrange Multipliers

Skip Optimization with Two Constraints

15-Mar-07

14.1    Iterated Integrals and Area in the Plane

 

20-Mar-07

14.2    Double Integrals and Volume

 Skip Approximating the Volume of a Solid. Quiz on 13.10

22-Mar-07

14.8    Change of Variables: Jacobians

 

27-Mar-07

14.3    Change of Variables: Polar Coordinates
14.4    Center of Mass and Moments of Inertia

Exclude Moments of Inertia

29-Mar-07

14.6    Triple Integrals and Applications

Exclude Moments of Inertia
Quiz on 14.8

10-Apr-07

14.5    Surface Area

 

12-Apr-07

15.1    Vector Fields

 

17-Apr-07

15.2    Line Integrals

Quiz on 15.2 at the end of class.

19-Apr-07

15.4    Green's Theorem

A proof that will be on the final exam.

24-Apr-07

15.3    Conservative Vector Fields and Independence of Path

Quiz on 15.4

26-Apr-07

15.5    Parametric Surfaces
15.6    Surface Integrals

 

1-May-07

15.7    Divergence Theorem

 

3-May-07

15.8    Stoke's Theorem

 

10-May-07

Final Exam

Time 8:00am-10:30am
  Place:NOT in classroom.
  Room to be announced

 

Special Needs: If you have a physical, psychological, medical or learning disability that may
impact your course work, please contact Disability Support Services, ECC (Educational
Communications Center) Building, room 128, (631) 632-6748. They will determine with you what
accommodations are necessary and appropriate. All information and documentation is
confidential. Students requiring emergency evacuation are encouraged to discuss their needs
with their professors and Disability Support Services. For procedures and information,
go to the following web site.
http://www.ehs.stonybrook.edu/fire/disabilities.asp