Topic: Limit, Derivative, Definite Integral.
During the first couple of days in calculus, I was inclined to learn the definition of limit:
L is the limit of f(x) as x approaches c
If and only if
For a
Harolds Series Convergence Tests
Cheat Sheet
4 May 2012
1
2
nth Term Test
Series:
=1
Condition(s) of Convergence:
None, this test cannot be used to
show convergence.
Condition(s) of Divergence:
lim 0
Harolds Calculus Notes
Cheat Sheet
20 March 2013
AP Calculus AB & BC
Limits
Definition of Limit
Let f be a function defined on an open interval
containing c and let L be a real number. Th
Integration Review
AP Calculus BC
2/27/08
Chapter 8Sections 1,2,5,7,8
Must Review Differentiation/
Integration Rules!
1
Review of Integration Rules
8.1: Basic Integration Rules
Two common integratio
Course:
Title:
Description:
Effective Term:
COM SCI M51A
06F
Discontinued Term:
Logic Design of Digital Systems
Units:
4.0
(Same as Electrical Engineering M16.) Lecture, four hours; discussion, two
ho
IV.W.CalculusDerivativesandIntegralsList1
x
a x =e ln a =e x ln a
DerivativesandIntegrals
d
u
a =
dx
a u ( ln a ) u '
d
u
e =
dx
e uu '
d
x
a =
dx
a x ln a
d
[ ta n u ] =
dx
d
[ s ec u ] =
dx
d
BC Calculus Facts and Formulae
Unless noted otherwise, x, y, z, r, t and theta are real variables, a, b, c, C, d and h are real constants, n is
a whole number, e is the base of the natural log and is
Andrew Rosen
LHopital:

You need a fraction for lHopitals rule. If there is none, you must do one or more of the following:
1) Substitute and then change limit to approaching zero
(t=1/x)
If that doe
Andrew Rosen
Range Shortcut:
If N = D: Compare coefficients of highest power terms with signs
If N > D: Divide highest powers of x with signs and then let x +/ infinite
If N < D: Lim = 0
Continuity:
Common Derivatives And Integrals
Integral Rules
Derivative Rules
d
(sin u)
dx
=
cos u
du
dx
Z
sin u du
= cos u + C
d
(cos u)
dx
= sin u
du
dx
Z
cos u du
=
d
(tan u)
dx
=
Z
tan u du
= ln j cos uj + C
d
Arko Dewri
Period 1
AP Calculus
840 East Citrus Avenue (Room 405)
Redlands, CA 92374
December 10, 2012
Dear Future Student of Calculus,
I am writing to let you know all about my understanding about th
Pg: 52, Problem # 25
8/23/2012
Topic: Definition of Limit.
I learned a new method of stating the definition of limits using shortened notations:
L = iff > 0 > 0 if 0 < x c < => f(x) L <
The new m
Pg: 71, Problem # R0
8/31/2012
Topic: Limit, derivative, definite integrals, continuity, intermediate value theorem.
The most important things I learned in chapter 2 are continuity and infinite limits
Pg: 79, Problem # 9
9/5/2012
Topic: Derivative.
As a result of doing this problem (the Spaceship Problem), I learned that derivative is
defined as the instantaneous rate of change of a function, but p
Pg: 141, Problem # 33
10/2/2012
Topic: Product Rule and Quotient Rule of Derivatives.
The two most important things I have learned are from section 4.2 and 4.3: the product
rule and the quotient rule
Pg: 183, Problem # 17e
10/16/2012
Topic: Constant of Integration, C.
The constant of integration, C, basically states the yintercept of the graph. This arbitrary
constant is basically responsible for
Pg: 262, Problem # 61
11/07/2012
Topic: Fundamental Theorem of Calculus Derivative of an Integral Form.
Since my last journal entry, the most important thing I learned is another fundamental
theorem t
Pg: 338, Problem # 9
01/14/2013
Topic: Euler's Method.
Since my last journal entry, one of the most important things I learned is the Euler's
method in calculus. Euler's method provides a nearly accur
Pg: 369, Problem # 44
01/24/2013
Topic: Second Derivative and Concavity.
Since my last journal entry, one of the most important things I learned is the analysis of second
derivative and its relationsh
Pg: 427, Problem # R0
02/11/2013
Topic: 3D Solid Figure created by revolving a Plane Figure  Disk, Washer, Shell Methods
Since my last journal entry, most important concept I learned are the three pr
Pg: 492, Problem # 28
02/22/2013
Topic: Improper Integrals.
Since my last journal entry, one of the most important things I learned is the method for solving
improper integrals. There are three types
Andrew Rosen
Average Value of a Function:
()
Inverse Trig Function Derivatives:
y = Arcsinu
y =
y = Arccosu
y =
y = Arctanu
y =
y = Arccotu
y =
y = Arcsecu
y =
y = Arccscu
y =
 
 
Inverse Trig Fun
Andrew Rosen
RAMs:
LRAM (height is on left side): (
)
RRAM (height is on the right side): (
MRAM (height is in the middle): (
Trap: (
)
)
)
Volume:
Perpendicular to x axis:
( )
Perpendicular to y axi
Andrew Rosen
Mean Value Theorem: If f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a point , c,
in (a, b) such that f(c) =
()
()
Rol
Madison Leming
September 6th 2017
SPCH 1010
Randal Fosse
Chapter 4 Reflection
I am a college student at Chattanooga state. For some reason I have not seemed to figure out yet, I take
Haptics very seri
Madison Leming
August 30th, 2017
SPCH 101005
Randal Fosse
Chapter 2 Reflection.
Every summer I vacation to Florida, which I knew was going to happen. However, summer of 2016 I had
brought one of my r
Madison Leming
September 4th, 2017
SPCH 1010
Randal Fosse
Chapter 3 Refection
1.
2.
3.
4.
I feel unmotivated.
When you point out what I don't do instead of what I do, do.
Because it makes me not want
Madison Leming
ENGL102009
Professor Tucker
April 8, 2017
Relationships and Power.
Power plays a big role in the relationships we have with the people in our lives. There are
many types of powers, so
Chapter 7 study guide
1. Define conflict[required elements] people who are in relationship with others, no matter what
kind of the relationship, are almost to certain to experience conflict from tim
Recycling
17F
In this picture, I am turning off a light switch to save electricity from being used, which also saves coal from being burnt up.
Date: 9/23/17 Location: My house.
1
17F
Electricity Use
E
17F
The Slough
Physical/Living Interaction:
A physical/living interaction would be the algae on top of the
water.
Physical/Human Interaction:
A physical/human interaction would be the dock floating on
Madison Leming
SPCH101003
9/25/2017
Randal Fosse
Module 3 Part 1: Topic Selection
1. Describe the specific communication skill you wish to learn more about: Engaging in comforting
frightened childre
Ch.10Probation and Parole Study Guide
1. What defines Probation as a form of Community Corrections? Which kind of convicts
and what percentage of convicts get probation?