Math 213 Fall 2019 Sections 17, 18, 19

MA 213 Sections 17, 18, 19 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:	MWF 3:00-4:00 PM
Phone	7-6791
E-Mail:	peter.perry@uky.edu

Instructor Absence

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

9/2-9/6	Conference on Classical and Quantum Integrability, Dijon, France
10/2-10/4	Personal (I will teach on Wednesday 10/2 but leave after class)
11/6-11/8	University of Toronto

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 October 2-October 4.

Lecture Notes

I prepare lecture notes using the LaTeX typesetting language and the BEAMER presentation package. If you're curious about LaTeX, Overleaf is a free online LaTeX editor with a large reference library. You can find the LaTeX source code for the lectures here.

Unit I: Geometry and Motion in Space

Lecture 1: Labelling Space (In-Class Notes)
Lecture 2: Moving Around in Space (In-Class Notes)
Lecture 3: The Dot Product (In-Class Notes)
Lecture 4: The Cross Product
Watch this Kahn Academy Video on 3 x 3 determinants before class!
Lecture 5: Lines and Planes, I (In-Class Notes)
Lecture 6: Lines and Planes, II
Lecture 7: Surfaces in Space (graphic)
Lecture 8: Vector Functions (In-Class Notes)
Lecture 9: Calculus of Vector Functions (In-Class Notes)
Lecture 10: Exam I Review (In-Class Notes)

Unit II: Differential Calculus

Lecture 11: Velocity and Acceleration of Space Curves (In-Class Notes)
Lecture 12: Functions of Several Variables (In-Class Notes)
Lecture 13: Partial Derivatives (In-Class Notes)
Lecture 14: Linear Approximation (In-Class Notes plus the IOU)
Lecture 15: The Chain Rule, Implicit Differentiation
Lecture 16: Directional Derivatives, Gradient Vector (In-Class Notes)
Lecture 17: Maximum and Minimum Values, I
Lecture 18: Maximum and Minimum Values, II
Lecture 19: Lagrange Multipliers (In Class Notes)
Lecture 20: Double Integrals
Lecture 21: Double Integrals over General Regions
Lecture 22: Exam II Review

Unit III: Integral Calculus

Lecture 23: Double Integrals in Polar Coordinates
Lecture 24: Triple Integrals (Part I) (Handwritten notes)
Lecture 25: Triple Integrals (Part II) (Handwritten Notes)
Lecture 26: Triple Integrals in Cylindrical Cooordinates
Lecture 27: Triple Integrals in Spherical Coordinates
Lecture 28: Change of Variables, Part I
Lecture 29: Change of Variables, Part II
Lecture 30: Vector Fields (Professor Readdy's Notes)
Lecture 31: Line Integrals (Scalar Functions) (Professor Readdy's notes)
Lecture 32: Line Integrals (Vector Functions) (Professor Readdy's Notes)
Lecture 33: Exam III Review (Handwritten notes)

Unit IV: Vector Calculus

Lecture 34: The Fundamental Theorem for Line Integrals (Handwritten notes)
Lecture 35: Green's Theorem (Handwritten notes)
Lecture 36: Curl and Divergence (Handwritten Notes)
Lecture 37: Parametric Surfaces and their Areas ( Supplement on Parametric Surfaces and Surface Integrals )
Lecture 38: Surface Integrals (Handwritten Notes)
Lecture 39: Stokes' Theorem, Part I (Handwritten notes)
Lecture 40: Stokes' Theorem, Part II (didn't happen)
Lecture 41: The Divergence Theorem
Lecture 42: Cumulative Review (Part I)
Lecture 43: Cumulative Review (Part II)
Lecture 44: Cumulative Review (Part III)