Mapping Diagrams Take on Calculus and Complex Variables
- Author:
- Martin Flashman
- Topic:
- Calculus, Derivative, Equations
HSU Mathematics Department Colloquium
Feb 5, 2015
Visualizing functions with mapping diagrams has been a recurrent theme and a central passion for me over many years. In this presentation I'll demonstrate some of my more recent assaults on the challenges of differential and integral calculus and even the study of functions of a complex variable using mapping diagrams.
Knowledge of at least one semester of calculus will be presumed.
Table of Contents
Mapping Diagrams
Linear Functions
Limits and The Derivative
1st Derivative Analysis
Diff'ls, D.Eq's and Euler's Method
Integration and the Fundamental Theorem
Taylor Polynomials
Multivariable Functions
Complex Functions
- Complex Linear Mapping Diagrams I (Circles)
- Complex Linear Mapping Diagram III (lines)
- Visualizing Complex Mobius Functions with Mapping Diagrams
- Mapping Diagram for Complex Power Functions
- Complex Mapping Diagram for Moebius Function (circles)
- Mapping Diagrams: Complex Analysis- functions and continuity