Lecture Notes, Problems, etc.

The instructor's classroom notes are made available to students here.
These notes have equal standing with the text as a basis for the course.
Course notes following "Math 2224 Notes for Fall, 2008" are made available for
student's information. Current versions of the notes are shown with a fall, 2009,
posting date, which indicates the first class meeting in which the set of notes was used.

These notes are provided in the form of MSWord and .pdf files which the student
can access with MSWord and Acrobat Reader, respectively. The latter is freely available (e.g., from
the Adobe website). If you have trouble accessing any of these files, please check with
the instructor.

A notation (Information) following the hyperlink indicates that the material
is for the student's information only and will not be explicitly tested on
exams, etc.

Current Math 2224 Notes

Lecture of Monday, August 24, 2009.
Sequences
Posted August 23, 2009.

Lecture of Wednesday, August 26, 2009.
Limits of Sequences; Series
Posted August 26, 2009.

Lecture of Monday, August 31, 2009.
Convergence of Series
Posted August 31, 2009.

Lecture of Monday, September 7, 2009.
Root Test, Alternating Series, Power Series
Posted September 6, 2009.

Lecture of Wednesday, September 9, 2009.
Taylor Polynomials
Posted September 11, 2009.

Lecture of Monday, September 14, 2009.
Taylor & Mclaurin Series
Posted September 14, 2009.

Lecture of Monday, September 21, 2009.
Introduction to Vectors
Posted September 25, 2009.

Lecture of Friday, September 25, 2009.
Dot and Cross Products
Posted September 25, 2009.

Lecture of Monday, September 28, 2009.
Lines and Planes, I
Lines and Planes, II
Posted September 30, 2009.

Lecture of Wednesday, September 30, 2009.
Vector Valued Functions
Posted September 30, 2009; two pages added October 2.

Lecture of Monday, October 5, 2009.
Functions of Several Variables
Posted October 7, 2009.

Lecture of Wednesday, October 7, 2009.
Continuity; Level Sets
Posted October 7, 2009.

Lecture of Wednesday, October 14, 2009.
Partial Derivatives, the Gradient
Posted October 14, 2009.

Lecture of Friday, October 16, 2009.
Gradients; Linear Approximation
Posted October 14, 2009.

Lecture of Monday, October 19, 2009.
Directional Derivatives, Stationary Points, Maxima and Minima
Posted October 21, 2009.

Lecture of Friday, October 23, 2009.
Second Order Partial Derivatives, Tests for Extrema
Posted October 23, 2009.

Lecture of Wednesday, October 28, 2009.
More on Maxima and Minima
Posted November 2, 2009.

Lecture of Friday, October 30, 2009.
The Least Squares Problem
Posted November 5, 2009.

Lecture of Monday, November 2, 2009.
Constrained Extrema; Lagrange Multipliers
Posted November 2, 2009.

Lecture of Wednesday, November 4, 2009.
Integrating over Rectangles
Posted November 6, 2009.

Lecture of Friday, November 6, 2009.
Integrating over Irregular Regions
Posted November 6, 2009.

Lecture of Monday, November 9, 2009.
Integrating with Polar Coordinates
Posted November 13, 2009.

Lecture of Friday, November 13, 2009.
Integrating over Special Polar Regions
Posted November 13, 2009.

Lecture of Monday, November 16, 2009.
Triple Integrals
Posted November 18, 2009.

Old Math 2224 Notes for Fall, 2008

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Lecture of Thursday, October 30.
First Moments; Centers of Mass
Posted October 31, 2008.

Lecture of Tuesday, November 4.
Moment of Inertia
Posted November 5, 2008.

Lecture of Thursday, November 6.
Spherical Coordinates
Posted November 10, 2008.