# 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

## 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