MA 213 001-003 Web Page

 

The sole purpose of this web page is to list Professor Perry's contact information and to post instructional materials for Professor Perry's sections of MA 213. For all other course related information please visit the main course web page

Instructor: Peter Perry
Office: 755 POT
Office Hours: M 3:00-5:00, F 3:30-4:30
Phone 7-6791
E-Mail: peter.perry@uky.edu

I will be out of the office on the following dates:

January 30-February 1 (National Science Foundation)
April 17-19 (IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena)
April 29-30 (Personal)

All classes will be covered by teaching faculty or senior graduate students in my absence--my notes will be posted as usual.

I should have e-mail access for questions and concerns on all days except April 26-29. I will announce exam week office hours at the beginning of the last week of classes.

Unit I: Geometry and Motion in Space

Lecture 1: Three-Dimensional Space (handwritten notes)
Lecture 2: Vectors: Moving Around in Space
Lecture 3: Dot Product, Distances, Angles   (solutions to lecture problems)
Lecture 4: Cross Product, Areas, Volumes
Lecture 5: Equations of Lines and Planes, I (notes from the lecture)
Lecture 6: Equations of Lines and Planes, II
Lecture 7: Quadric Surfaces (graphic)

Lecture 8: Describing Trajectories: Vector Functions and Space Curves
Lecture 9: Calculus of Motion, I: Derivatives and Integrals of Vector Functions
Lecture 10: Calculus of Motion, II: Velocity, Acceleration, Arc Length (notes from the lecture)

Lecture 11: Exam I Review (notes from the lecture)

Unit II: Differential Calculus for Functions of Several Variables, and Some Integral Calculus Too

Lecture 12: Functions of Several Variables
Lecture 13: Partial Derivatives
Lecture 14: Tangent Planes and Linear Approximation (handwritten notes)
Lecture 15: The Chain Rule (handwritten notes)
Lecture 16: Directional Derivatives and the Gradient (handwritten notes)
Lecture 17: Maxima and Minima, I: Local Extrema (handwritten notes)
Lecture 18: Maxima and Minima, II: Absolute Extrema (handwritten notes)
Lecture 19: Lagrange Multipliers (handwritten notes, including full solutions to Lagrange multiplier problems)
Lecture 20: Double Integrals (handwritten notes)
Lecture 21: Double Integrals over General Regions (handwritten notes, with correction on page 10 to class notes)
Lecture 22: Double Integrals in Polar Coordinates

Lecture 23: Exam II Review

Unit III: Multiple Integrals, and Introduction to Vector Fields


Lecture 24: Triple Integrals I (pre-Spring Break)(handwritten notes)
Lecture 25: Triple Integrals, II (post-Spring break)
Lecture 26: Triple integrals in Cylindrical Coordinates
Lecture 27: Triple integrals in Spherical Coordinates
Lecture 28: Change of Variable in Multiple Integrals, I
Lecture 29: Change of Variable in Multiple Integrals, II (handwritten notes)
Lecture 30: Vector Fields
Lecture 31: Line Integrals, I: Scalar Functions (handwritten notes)
Lecture 32: Line Integrals, II: Vector Fields
Lecture 33: The Fundamental Theorem for Line Integrals
Lecture 34: Green's Theorem
Lecture 35: Exam III Review

Unit IV: Vector Calculus

Lecture 36: Curl and Divergence
Lecture 37: Parametric Surfaces
Lecture 38: Surface Integrals
Lecture 39: Stokes' Theorem
Lecture 40: Divergence Theorem

Final Exam Review

Lecture 41: Final Exam Review, I (handwritten notes)
Lecture 42: Final Exam Review, II
(handwritten notes)