| 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^3-1 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(x-2) 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(x-2)]/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 |
| Multi-variable
Calculus |
| My
favorite calculus problem ever - Maximize Utility
as function of buying several goods |
| Lagrange Multipliers |
| Lagrange
Multiplier Solution to Multi-variable 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 Error-free 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 |
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