Other Videos 

Secret
Revealed: How to Study (and Get an A!) in
Calculus (Watch This First!) 

Limits 
Definition
of a Limit 
Limits:
Formal definition and proof using epsilon 
delta syntax 
Calculate
Limits 
Explanation
of pi using limit of ratio of circumference
to radius 
Indeterminate
Forms  L'Hopital Rule 
Limit
of indeterminate form using L'hopital's rule
with both x and y variables 
Derivatives 
Related
Rates 
Everything
You Ever Wanted to Know About Related Rate
Problems (but were afraid to ask) 
Word
problem revenue rate changing using related
rates and chain rule 
Word
problem involving sand dumped using derivatives
and rates 
1991
AP: Tightrope walker  find speed of shadow
on ground and on side wall of building  related
rates 
Related
rate problem man walking away from light what
is speed of shadow 
Related
rate problem bucket on pulley man walking with
rope find speed of bucket 
Great
word problem  minimize cost given variable
labor and ops costs and fuel efficiency as
fcn of speed 
Word
problem funnel water being added find dh/dt
given dV/dt  a related rates problem in effect 
Newton's
Method (Newton Raphson Method) 
Newton's
Method Overview 
Integrals 
How
to Calculate Integrals 
Integration
Jungle Guide 
Difficult
Integrals 
Integral
of 1/(x * sqrt(4x+1)) 
Integral
of 1 over sqrt of a polynomial: Is it a real
problem or is it BS just to torture calculus
students? 
Gnarly
integral of (2x + 1) / sqrt(2 3x  2x^2) using
inverse trig and complete the square 
Integral
with sin and cos terms in denom using algebraic
tricks and trig identities 
Integral
using partial fractions and other tricks 
Fundamental
Theorem Of Calculus 
Fundamental
Theorem Part 1: Is it a remnant from the last
UFO to visit earth? 
Fundamental
Theorem Part II Proof 
d/dx
of integral from 0 to x of a function of f(t)dt 
d/dx
of integral from x to x of e^t^2 dt 
Contrived
AP calculus problem 12 + integral from a to
x of f(t)/t^3 = 4 * sqrt(x) solve for f(x)
and a 
d/dx
of integral from 1 to 2x of sqrt(1+t^2) dt 
d/dx
of the integral from 0 to x^31 of f(t) dt 
Riemann
Sums 
Tutorial:
Riemann sums, finite sums, integrals part 1 
Tutorial:
Riemann sums, finite sums, integrals part
2 
Classic
AP Calculus Riemann Sum problems explained "soup
to nuts" 
Riemann
sum of ln(x2) using the average of left and
right for each interval 
Area
Under Curve 
Integral
to find the area of a triangle 
Polar
coordinate function r = 1  2sin(theta) used
to calculate area using integral 
Find
area bounded by sqrt(x) + sqrt(y) = 1, y=0,
x=0 Substitution in definite integral 
Volume
of Revolution 
Volume
of revolution between x^2 and x^3 around y
axis 
Area
and volume free response problem from the 2002
AP exam 
Surface
Area of Revolution 
Surface
area of a doughnut using volume of revolution 
Curve
Length 
Substitution 
Integral
of tan^n(x) sec^2(x) dx 
Integral
of 1/(x * sqrt(4x+1)) Shrewd Manipulation
Required to find Inverse Trig Solution 
Find
area bounded by sqrt(x) + sqrt(y) = 1, y=0,
x=0 Substitution in definite integral 
Integral
involving sqrt(a^2  x^2)  trigonometric
substitution 
Integral
of [ln(x2)]/x 
Integral
involving substitution of lnx 
Integral
of (sinx)^3cosxdx 
Integration
by Parts 
Integration
to find reduction formula for integral of tan^n(x)
dx  interesting problem 
Integral
of x^2 * sinx dx using multiple rounds of integration
by parts 
Integral
of e^5x sin(3x) dx  Integration by parts
used successively 
Inverse
Trig  Complete the Square First 
Gnarly
integral of (2x + 1) / sqrt(2 3x  2x^2) using
inverse trig and complete the square 
Partial
Fractions 
Integral
using partial fractions and other tricks 
Partial
Fractions: Soup to Nuts Part 4 of 4 
Partial
Fractions: Soup to Nuts Part 3 of 4 
Partial
Fractions: Soup to Nuts Part 2 of 4 
Partial
Fractions: Soup to Nuts Part 1 of 4 
Trig
Functions 
Integral
of (sinx)^3cosxdx 
Integral
of tan^n(x) sec^2(x) dx 
Integration
to find reduction formula for integral of tan^n(x)
dx  interesting problem 
Integral
of e^5x sin(3x) dx  Integration by parts
used successively 
Exponential
and Logarithmic Functions 
Exponential
decay problem using carbon 14 dating 
Slope Fields
and Differential Equations 
Slope
fields and differential equations: explained "soup
to nuts" 
Differential
Equation solved using separation of variables
 excellent Partial Fractions Tutorial 
Differential
Equation x'  xcos(t) = cos(t) solution using
separation of variables 
Integral
of 1 over sqrt of a polynomial: Is it a real
problem or is it BS just to torture calculus
students? 
Series 
Find
total distance traveled by bouncing ball 
Word Problems 
How
to Analyze and Solve Word Problems 
How
to solve calculus word problems 
Word
Problems involving Rates of Change 
Classic
algebra 1 word problem  Dan and Ken both mowing
the lawn  how long does it take? 
Related
Rates 
Everything
You Ever Wanted to Know About Related Rate
Problems (but were afraid to ask) 
Word
problem revenue rate changing using related
rates and chain rule 
Word
problem involving sand dumped using derivatives
and rates 
Word
Problems involving Summation or Accumulation
of Change 
Word
problem  calculate ice thickness as function
of time given rate information 
Exponential
decay problem using carbon 14 dating 
Position,
Velocity, and Acceleration 
Classic
AP Calculus test free response problem almost
guaranteed to be on the test 
Vector
Velocity and Position  Calculate if/when
skaters intersect 
Word
Problems involving Distance 
1991
AP: Tightrope walker  find speed of shadow
on ground and on side wall of building  related
rates 
Related
rate problem bucket on pulley man walking with
rope find speed of bucket 
Related
rate problem man walking away from light what
is speed of shadow 
Word
Problems involving Cones 
Word
problem funnel water being added find dh/dt
given dV/dt  a related rates problem in effect 
Word
problem involving sand dumped using derivatives
and rates 
Word
Problems involving Ladders and Shadows 
1991
AP: Tightrope walker  find speed of shadow
on ground and on side wall of building  related
rates 
Related
rate problem man walking away from light what
is speed of shadow 
Word
Problems involving Economics, Profit, Revenue,
Costs 
Everything
You Ever Wanted to Know About Cost, Revenue,
Profit Problems (but were afraid to ask) 
Great
word problem  minimize cost given variable
labor and ops costs and fuel efficiency as
fcn of speed 
Word
problem revenue rate changing using related
rates and chain rule 
AP Calculus Test
Classic Problems 
d/dx
of integral from x to x of e^t^2 dt 
2005
AP Calculus AB Free Response  Rod heated from
one end, find a number of attributes 
Contrived
AP calculus problem 12 + integral from a to
x of f(t)/t^3 = 4 * sqrt(x) solve for f(x)
and a 
Area
and volume free response problem from the 2002
AP exam 
Classic
AP Calculus test free response problem almost
guaranteed to be on the test 
1991
AP: Tightrope walker  find speed of shadow
on ground and on side wall of building  related
rates 
Polar Coordinates 
Polar
coordinate function r = 1  2sin(theta) used
to calculate area using integral 
Multivariable
Calculus 
My
favorite calculus problem ever  Maximize Utility
as function of buying several goods 
Lagrange Multipliers 
Lagrange
Multiplier Solution to Multivariable Utility
Maximization Problem 
Gradient and
Partial Derivatives 
My
favorite calculus problem ever  Maximize Utility
as function of buying several goods 

Chemistry Videos 
Nomenclature
(Naming of Molecules) 
How
to Memorize all of the Element Names and Functional
Group Names, Formulas, and Valences 
How
to Memorize in 30 minutes or Less and Have
a Nomenclature Errorfree year! 

Equations and
Reactions 
How
to Calculate Limiting Reagent, Yield, and Percent
Yield 
Calculate
Limiting Reagent, Yield, and Percent Yield
from a Chemical Equation 

Dimensional Analysis 
Using
Dimensional Analysis to Solve Any Kind of Unit
Conversion Problem 
Dimensional
Analysis Soup to Nuts 
