<h1 id="heading-mathematical-subject-areas">Mathematical Subject Areas</h1>
<ol>
<li>Roots of Equations</li>
<li>Systems of Linear Algebraic Equation</li>
<li>Optimization<ul>
<li>determine optimal value. min, max..</li>
</ul>
</li>
<li>Curve Fitting<ul>
<li>regression, interpolation</li>
</ul>
</li>
<li>Integration</li>
<li>Ordinary Differential Equations</li>
<li>Partial Differential Equations</li>
</ol>
<h1 id="heading-chapter-1">Chapter 1</h1>
<h2 id="heading-mathematical-modeling-how-it-works">Mathematical Modeling (How it works)</h2>
<blockquote>
<p>Dependent variable = f(independent variables, parameters, forcing functions)</p>
</blockquote>
<h3 id="heading-newtons-2nd-law-of-motion">Newton's 2nd law of Motion</h3>
<blockquote>
<p>F = ma</p>
</blockquote>
<h3 id="heading-time-velocity-of-falling-parachutist">Time-Velocity of Falling Parachutist</h3>
<ul>
<li>Exact, analytical solution != Approximate, numerical solution</li>
</ul>


# Mathematical Subject Areas
1. Roots of Equations
2. Systems of Linear Algebraic Equation
3. Optimization
 - determine optimal value. min, max..
4. Curve Fitting
 - regression, interpolation
5. Integration
6. Ordinary Differential Equations
7. Partial Differential Equations

# Chapter 1
## Mathematical Modeling (How it works)
> Dependent variable = f(independent variables, parameters, forcing functions)

### Newton's 2nd law of Motion
> F = ma

### Time-Velocity of Falling Parachutist
- Exact, analytical solution != Approximate, numerical solution

Numerical Analysis: 1. Mathematical Modeling and Engineering Problem Solving

Numerical Analysis: 1. Mathematical Modeling and Engineering Problem Solving

Table of contents

Mathematical Subject Areas

Chapter 1

Mathematical Modeling (How it works)

Newton's 2nd law of Motion

Time-Velocity of Falling Parachutist