Making Sense of Calculus with Mapping Diagrams[2016 MAA]
- Author:
- Martin Flashman
- Topic:
- Calculus, Derivative, Differential Equation
Making Sense of Calculus with Mapping Diagrams
MAA Mini-Course 2016
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Table of Contents
Introduction
Linear Functions
Limits and The Derivative
- Mapping Diagrams and Limits of Functions
- Mapping Diagrams & Graphs: Def'n of Derivative as Number
- A Mapping Diagram and Graph for Estimating The Derivative
- Example AEF.NEB Numerical Estimation Bisection
- Newton's Method: Mapping Diagrams and Graphs
- Mapping Diagrams and Graphs of Functions: Continuity Definition
- Mapping Diagrams and Graphs of Functions: Uniform Contiuity Definition
- Uniform Continuity Definition: Mapping Diagrams and Graphs of Functions
- Uniform Continuity Definition: Mapping Diagrams and Graphs of Functions
- Mapping Diagrams Functions: Uniform Continuity and Compact Sets
- Example.CCD.DDF.1
- Example CCD.CCF.2
- CCD.DDS.R. Example.2. Singularities with a root function.
Differentials, Differential Equations, and Euler's Method
Integration and the Fundamental Theorem
Sequences
Series
Multi-dimensional Calculus