MA 213 004-006 Web Page

 

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

Instructor: Nathaniel Stapleton
Office: 765 POT
Office Hours: M 2:00-4:00, F 2:00-3:00
E-Mail: nat.j.stapleton@uky.edu

As the course progresses, below I will add links to images and slides that I use in class.

Unit I: Geometry and Motion in Space

Lecture 1: Three-Dimensional Space (presentation)
Lecture 2: Vectors: Moving Around in Space
Lecture 3: Dot Product, Distances, Angles
Lecture 4: Cross Product, Areas, Volumes
Lecture 5: Equations of Lines and Planes, I
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: Acceleration, Arc Length
Lecture 11: Functions of Several Variables
Lecture 12: Exam I Review

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

Lecture 13: Partial Derivatives
Lecture 14: Tangent Planes
Lecture 15: Linear Approximation
Lecture 16: The Chain Rule
Lecture 17: The Gradient
Lecture 18: Maxima and Minima, I: Local Extrema
Lecture 19: Maxima and Minima, II: Absolute Extrema
Lecture 20: Lagrange Multipliers
Lecture 21: Double Integrals
Lecture 22: Double Integrals over General Regions
Lecture 23: Double Integrals in Polar Coordinates
Lecture 24: Exam II Review

Unit III: Multiple Integrals, and Introduction to Vector Fields

Lecture 25: Triple Integrals, I (pre-Spring break)
Lecture 26: Triple Integrals, II (post-Spring break)
Lecture 27: Triple integrals in Cylindrical Coordinates
Lecture 28: Triple integrals in Spherical Coordinates
Lecture 29: Change of Variable in Multiple Integrals, I
Lecture 30: Change of Variable in Multiple Integrals, II
Lecture 31: Vector Fields
Lecture 32: Line Integrals, I: Scalar Functions
Lecture 33: Line Integrals, II: Vector Fields
Lecture 34: The Fundamental Theorem for Line Integrals
Lecture 35: Green's Theorem
Lecture 36: Exam III Review

Unit IV: Vector Calculus

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

Final Exam Review

Lecture 41: Final Exam Review, I
Lecture 42: Final Exam Review, II