Test 1

Fri 8/25

Introduction to Limits
OneSided Limits Intro
A Graphical Limit Example
Another Graphical Limit Example
A Limit via Substitution
Limits at Asmptotes Intro
A Limit at an Asymptote
Another Limit at an Asmpytote

Mon 8/28

Limit Laws
Limits and Continuity
Discontinuity Example

Wed 8/30

Function/Continuity Example(s)
More Function/Continuity Example(s)
Continuity on an Interval
Piecewise Functions & Continuity

Fri 9/1

Limit in 0/0 Case w/Factoring
Limit in 0/0 Case w/Rationalizing
Squeeze Theorem
Limit of sin(x)/x as x>0
Example Limit using sin(x)/x as x>0 Fact

Wed 9/6

Limit [(1cos(x))/x] as x>0
Limits as x>Infty
More Limits as x>Infty
Horizontal Asymptotes and Limits

Fri 9/8

Finding a Limit as x>Infty
More Finding a Limit as x>Infty
A Limit as x>Infty Involving a Sqrt

Mon 9/11

Intermediate Value Theorem
Example using Intermediate Value Theorem

Test 2

Wed 9/13

Average Rate of Change
Calculating Average Velocity/Speed
Instantaneous Rate of Change Example

Fri 9/15

Into to Derivative
Example using Derivative

Mon 9/18

Power Rule
Other dy/dx Rules

Wed 9/20

Equation of a Tangent Line
What is Differentiability
Differentiability at a Point Example
Sketching f'(x) given f(x)
Matching a Graph of f(x) to a Graph of f'(x)

Fri 9/22

Product Rule for Derivatives
Quotient Rule for Derivatives
Finding the Equation of a Tangent Line

Mon 9/25

When Instantaneous Slopes are Inc/Dec

Wed 9/27

Taking a Second Derivative
Getting a Feel for the 2nd Deriv
Relating Pos/Vel/Acc with Derivatives

Fri 9/29

Derivative of sin(x) and cos(x)
Derivative of tan(x) and cot(x)
Derivative of sec(x) and csc(x)

Mon 10/2

Derivative of Product of Three Functions
Chain Rule
Chain Rule Example

Wed 10/4

Another Example Using Chain Rule
Yet Another Example Using Chain Rule
An Example Using Chain Rule Twice Over

Mon 10/9

Review Day

Test 3

Wed 10/11

Implicit Differentiation
An Example Using Implicit Differentiation

Fri 10/13

Finding f'' using Implicit Differentiation
Derivative of Inverse Sine
Derivative of Invere Tangent

Mon 10/16

Derivative of ln(x) from d/dx(e^x)
Logarithmic Differentiation Intro
Derivative Example involving log function
Logarithmic Differentiation  Complicated Example

Wed 10/18

Hyperbolic Trig Functions
Growing Circle Problem
Falling Ladder Problem

Fri 10/20

Rising Balloon Problem
Water Pouring into Cone Problem

Mon 10/23

The idea of Linear Approximation
Approximating a Sqrt with Linear Approx

Wed 10/25

Another Linear Approx Explanation
Introduction to Newton's Method

Fri 10/27

An Example using Newton's Method
Another Newton's Method Example
Parametric Form of a Function
Eliminating the Parameter Example
Another Eliminating the Parameter Example

Mon 10/30

Slope of Tangent Line on Parametric Function
Another Parametric Function Derivative

Test 4

Wed 11/1

L'Hopital's Rule Introduction
L'Hopital's Rule Example
Another L'Hopital's Rule Example

Fri 11/3

Zero*Infty Case with L'Hopital
Defining e as a limit

Mon 11/6

Local/Global Max/Min Intro
Finding Critical Numbers

Wed 11/8

Extreme Value Theorem
Example using Extreme Value Theorem
Finding Intervals of Inc/Dec
More Finding Intervals of Inc/Dec

Fri 11/10

Using First Deriv to Find Local Mins/Maxs
Example Using First Deriv to Find Local Mins/Maxs
Finding Absolute Mins/Maxs on Closed Intervals

Mon 11/13

Introduction to Concavity
Graphical Concavity Example
Inflection Points

Wed 11/15

Example Finding Intervals of Concavity
Another Example Finding Intervals of Concavity

Fri 11/17

Optimization Example (Maximize Volume)
Another Optimization Example (Minimize Cost)

Mon 11/20

Optimization Problem (Minimizing Area)
Optimization Example (Maximize Profit)

Mon 11/27

Review Day

After Test 4

Wed 11/29

Intro to Polar Coordinates
Graphing Polar Function Example
