Formulas to Memorize
This is not an exhaustive list, but is hopefully a helpful check list
to get you started.
sin x
=1
x0 x
lim
d
(sin x) = cos x
dx
d
(cos x) = sin x
dx
d
(tan x) = sec2 x
dx
d x
(e ) = ex
dx
1
d
(ln x) =
dx
x
d f (x)
e
= f (x)ef (x)
dx
Reec%ons on the Neil DeGrasse
Tyson Interview shown in class, in
par%cular his answer to the ques%on
what is the most astounding fact
about the universe?
hDp:/www.youtube.com/watch?v=wiOwqDmacJo
The Hebrew Bible depicts
Homework Assignment 1
Please submit worked solutions on letter size paper (stapled together if you have multiple sheets) and with your
full name clearly visible.
Late homework will not be accepted. To account for exceptional circumstances where you are un
Homework Assignment 2
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full name clearly visible.
Late homework will not be accepted. To account for exceptional circumstances where you are un
Homework Assignment 3
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full name clearly visible.
Late homework will not be accepted. To account for exceptional circumstances where you are un
Homework Assignment 4
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full name clearly visible.
Late homework will not be accepted. To account for exceptional circumstances where you are un
Homework Assignment 5
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full name clearly visible.
Late homework will not be accepted. To account for exceptional circumstances where you are un
Homework Assignment 6
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full name clearly visible.
Late homework will not be accepted. To account for exceptional circumstances where you are un
Homework Assignment 7
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full name clearly visible.
Late homework will not be accepted. To account for exceptional circumstances where you are un
Homework Assignment 8
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Late homework will not be accepted. To account for exceptional circumstances where you are un
Homework Assignment 9
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full name clearly visible.
Late homework will not be accepted. To account for exceptional circumstances where you are un
Homework Assignment 10
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Late homework will not be accepted. To account for exceptional circumstances where you are u
Homework Assignment 11
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Late homework will not be accepted. To account for exceptional circumstances where you are u
Homework Assignment 12
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Late homework will not be accepted. To account for exceptional circumstances where you are u
Homework Assignment 13
Non-Assessed
This assignment will not be submitted for assessment.
Late homework will not be accepted. To account for exceptional circumstances where you are unable to make the deadline your lowest
homework score over the semester w
Possible Final Exam Topics
Limits
Left and right limits, using algebraic manipulation, limits at infinity,
LHospitals Rule
Continuity
Derivatives
Definition, power rule, product rule, quotient rule, chain rule, and
combinations thereof; sin, cos, tan, ln,
Motivation
How does faith relate to Calculus?
Helps us to understand creation better and
therefore the creator
Mathematics is the language/mechanism God
uses to create and sustain the universe
Learning mathematics/calculus is part of the
image of God in u
Jesus Christ is the same yesterday and
today and for ever. Hebrews 13:8
Calculus is all about rates of change so lets
write this using the language of Calculus!
We can imagine a func<on in <me, t:
y = f(t) =
Twinsburg High School Research Manual
MISSION STATEMENT:
The purpose of this guide is to give students a process that they can apply to projects and
papers. By using the following suggestions, students will be better prepared for both high
school and post
Math 123 Quiz # 2
Name _KEY_
1
? It is all positive real numbers except 1. ln(x) is
x ln x
not dened for zero or negative, and ln(1) is zero, which cannot be in the denominator
x!5
2. [1 mark] Is the function f (x) = 2
even, odd, or neither? Reason: the d
Math 123 Quiz # 3
Name _KEY_
Compute the limits
x 2 + 3x + 9
1. [1 mark] lim
9just substitute
x! 3
3
x 2 " 5x + 5
2. [2 marks] lim+
The numerator goes to 5 and the denominator becomes small and
x!5
x"5
positive so it grows without boundgoes to positive in