Math 437 ADVANCED CALCULUS AND APPLICATIONS I
                                        Fall 2008
 
 
 
           List of Topics
 
The following is a list of topics that will be covered in this course along with the chapter and section numbers. The chapter and section numbers are taken from the textbook "Vector Calculus" (5th Edition), by J. Marsden and A. Tromba. There will also be several concepts presented that are not in the book.
 
CHAPTER 1. THE GEOMETRY OF EUCLIDEAN SPACE
1.1 Vectors in two and three dimensional space
Section 1.1 Slides
1.2 The inner product, length, and distance
Section 1.2 Slides
1.3 Matrices, determinants, and cross product
Section 1.3 Slides
1.4 Cylindrical and spherical coordinates
Section 1.4 Slides
1.5 n-dimensional Euclidean space
Section 1.5 Slides
CHAPTER 2. DIFFERENTIATION
2.1 The geometry of real-valued functions
Section 2.1 Slides
2.2 Limits and continuity
Section 2.2 Slides
2.3 Differentiation
Section 2.3 Slides
2.4 Introduction to paths
Section 2.4 Slides
2.5 Properties of the derivative
Section 2.5 Slides
2.6 Gradients and directional derivatives
Section 2.6 Slides
CHAPTER 3. HIGHER-ORDER DERIVATIVES; MAXIMA AND MINIMA
3.1 Iterated partial derivatives
Section 3.1 Slides
3.2 Taylor's theorem
Section 3.2 Slides
3.3 Extrema of real-valued functions
Section 3.3 Slides
3.4 Constrained extrema and Lagrange multipliers
Section 3.4 Slides
CHAPTER 4. VECTOR-VALUED FUNCTIONS
4.1 Acceleration and Newton's second Law
Section 4.1 Slides
C. Cube paper
4.2 Arc Length
Section 4.2 Slides
4.3 Vector fields
Section 4.3 Slides
4.4 Divergence and curl
Section 4.4 Slides
CHAPTER 5. DOUBLE AND TRIPLE INTEGRALS
5.2 The double integral over a rectangle
5.3 The double integral over more general regions
5.4 Changing the order of integration
5.6 The triple integral
 
 
 
 
 
 
Exam I
100 pts Friday Oct. 10
 
Exam II
100 pts Friday Nov. 21
 
Final Exam
200 pts Friday Dec. 12
8:00 am - 11:00 am
 
Homework 100 pts
 
Project 100 pts
 
Total Points 600 pts
 
A..100%-90%
B..89%-80%
C..79%-70%
D..69%-60%
F..59%-0%
 
+/- Grades may be given for borderline percentages.
 
To compute your grade, (your total points)/600 * 100.
 
 
 
 

Instructor
Dr. James Baglama

Phone
401-874-4412

Email
jbaglama@math.uri.edu

Fax
401-874-4454

Office 
Tyler Hall 209
(until Oct. 15)
Lippitt 101A
(after Oct. 15)

Office Hours
MWF 11:00am-12:00pm

Website
http://www.math.uri.edu/~jbaglama/classes/2008-2009/fall/math437


Time/Day
MWF 9:00am - 9:50am

Location
Wales Hall 224

Section Number
01

Prerequisite
Math 243 Calculus for functions of several variables

Text
Vector Calculus (5th ed)
by J.E. Marsden and
A.J. Tromba

Calculators
Required Graphing Calculator, e.g. TI-83,
TI-89, etc

Attendance
Highly recommended
   Evaluation/Grade               Links