Calculus I

HOME

  1
The 3 Secrets
Why Calculus is Easy 
  21
More Relatives
Part 2 
 
  2
There's Got to be a Limit
Limits
  22
Sorta Kinda
Approximation With Derivatives
 
  3
A Limit to Trig
Applying limits to trig functions
  23
Dances With Approximation
 Using Approximation to Find Roots
 
  4
On and On
Continuity
  24
Back! Back! Back!
The Integral
 
  5
The Long Way
Finding Derivatives Using Limits
  25
Do you du?
Substitution
 
  6
The Big Shortcut
Basic Differentiation Computation Techniques
  26
The Oddball Function
The Integral of 1 over X
 
  7
Derivative Deja Vu
Finding Higher Order Derivatives
  27
S
Summation Notation
 
  8
Surf's Up!
Derivatives of Trig Functions
  28
This Time We're Sure
 The Definite Integral
 
  9
When You Just Can't Shake the Y
Implicit Differentiation
  29
The Big Area Shortcut
The Fundamental Theorem of Calculus
 
  10
Street Signs
Graphing With the First Derivative
  30
In the Area
Calculating Definite Integrals
 
  11
Finding Concavity
Graphing with the Second Derivative
  31
The Sinister Trig Integral
Definite Integrals of Trig Functions
 
12
Graphing Special Cases
Vertical Asymptotes
  32
Sideways Integrals
Integrals of Non Functions
 
13
More Special Cases
Horizontal and Diagonal Asymptotes
  33
From Here to There
Area Between Two Lines
 
  14
Ups and Downs
Absolute Maxima and Minima
  34
"e" Gad!
Integrating Exponential Functions
 
15
In the Area
Max Min Area Problems
  35
Let's Review
Review of General Rules of Logs and Exponents
 
16
Fill It Up
Max Min Volume Problems 
  36
Loggy
Derivatives and Integrals of lnX
 
17
On the Surface
Max Min Surface Problems
  37
nX
Exponent Bases Other Than e
 
18
Close the Distance
Max Min Distance Problems
  38
Log'n
Logs With Bases Other Than e
 
19
From Here To There
 More Max Min Distance Problems
  39
Applied Problems (It's About Time!)
Exponential Growth & Decay Word Problems
 
20
It's All Relative
Related Rates
       
 

copyright 2005 Bruce Kirkpatrick