TITLE> Syllabus</TITLE>

<H1> Mount Holyoke College </H1>

<H1> Math 101 (01):  Calculus I & Analytic Geometry
</H1>

<H1> Syllabus</H1><p>

<h3>Introduction to derivative</h3>
<ul>
<li> Power, constant, sum rules (Chapter 1). Slope and tangent line 
     (Chapter 2).
<li> Product, quotient rules ( Chapter 3).
<li> Chain rule (Chapter 4).
<li> Implicit diffentiation (Chapter 4). 
<li> Extended power rule (Chapter 5).
</ul>

<h3>Differentiation of elementary functions</h3>
<ul>
<li> Trigonometric review: triangles, trigonometric formulas
     (Chapter 6, two classes).
<li> Trigonometric review: periodic functions. Derivative of <i>sin</i> 
     and <i>cos</i> (Chapter 6).
<li> <i>exp</i> and <i>log</i> basic properties. 
     <i>e</i> as a limit. (Chapter 9).
<li> Derivatives of <i>e<sup>x</sup></i> and <i>ln x</i> (Chapter 9).
<li> Exponential growth. Exponential decay. Rates of growth 
     (Capter 10 and Chapter 7).
</ul>

<h3>Applications</h3>
<ul>
<li> <i>Max/Min</i> problems (Chapter 7).
<li> Real-world problems (Chapter 8, two classes).
<li> Second derivative. Concavity. Acceleration (Chapter 11).
<li> Curve sketching (Chapter 11, two classes).
</ul>

<h3>Introduction to integral</h3>
<ul>
<li> Antiderivatives. Differential equations (Chapter 12).
<li> Area. Definite integral (Chapter 15).
</ul>