Math 1110 Section 102 Homepage
News & Announcements
08/04 Done!
I've sent our a final grade report with course averages and letter grades.
If you are interested, I keep finals around for a while. If you ever want
to look over your final exam, just stop by my office or let me know and we
can meet virtually.
I hope you have a wonderful (what remains of the) summer! And even though this
class is over, if you ever have any questions mathematical or otherwise, don't
hesitate to send me an email. I'd love to help if I can!
07/30 The Final Exam is Wednesday (at 8am).
You may bring one page (one side) of notes to the exam.
Don't forget that the final exam can replace a lowest test
score (if it helps), so prepare well!
To review for the final exam I recommend looking over our old tests
(and the answer keys I gave you). Looking over notes, quizzes, doing
suggested homework are all good ideas too. Old tests and final exams
should provide great practice.
Your final will be cumulative, but you can ignore some of the "reviewed" portions.
Chapter 1: 1.1-1.5 -- Limits and continuity. You should know how to
compute limits and one-sided limits from a graph or using
algebra. You should know how to tell where a function is
continuous (including piecewise defined functions).
You should also know how to analyze vertical and horizontal
asymptotes (i.e., limits as x or f(x) become infinite).
Chapter 2: 2.1-2.5 -- Derivatives! You should know what an average
rate of change = difference quotient is, but I won't ask
you to use the limit definition to find a derivative.
You should know how to find a tangent line's equation and
how to compute derivatives.
Chapter 3: 3.1-3.4 -- More derivatives! Know how to do implicit
differentiation and how touse all of the derivative rules.
Know how to find the derivative of an inverse function.
For example, I want you to be able to derive the formulas
for the derivatives of arctangent, arcsine, etc. You
should be able to use the quotient rule to derive the
formulas for the derivatives of tangent, secant etc.
Also, know how to deal with logarithms.
You may skip the stuff on differentials, Newton's method,
and hyperbolic functions.
Chapter 4: 4.1-4.8 -- Applications. Know how to do related rate (4.1)
and optimization problems (4.7). You need to know what a
derivative means/does. But don't worry about theorems (like
IVT and MVT).
You should know what critical points, mins, maxs, inflection
points etc. are as well as how to maximize and minimize on a
closed interval. You should be able to create number lines
for the first and second derivatives to be able to tell where
a function increases and decreases and where its concave up
or down. This stuff should allow you to find relative mins,
maxs, and inflection points.
The L'Hopital's rule problem did not go well on Test #3.
Plan on seeing L'Hopital again amongst limit problems.
Know how to solve simple initial value problems (4.8).
Chapter 5: 5.1-5.6 -- Integration. Know what the definite integral
computes (i.e., net area). You should be able to compute
net area from a graph built from simple shapes (like
rectangles, triangles, circles). Know how to approximate
integrals using left, right, and midpoint rules. You
should also be able to draw pictures of these kinds of
approximations and judge whether you get an over- or under-
estimate.
You should be able to compute definite and indefinite
integrals. You should know the statements of both parts of
the fundamental theorem of calculus.
Know how to do some moderately simple u-substitutions and
solve separation of variables DEs.
We also discussed Taylor polynomials. You may skip this topic.
Other than our old Test 1,2,3 problems you might want to look at...
Old Math 1110 exams are found here
Fall 2017: Test #1 problems 1,2a,4-8
Test #2 problems 1,4-5(skip hyperbolics)
Test #3 problems all of it
Summer 2017: Test #1 problems 1,2ab,4-9
Test #2 problems 1,4-7(skip hyperbolics)
Test #3 problems all of it
Final Exam problems all of it
Summer 2014: Test #1 problems 1-2,4-9
Test #2 problems 1,5-7(skip hyperbolics)
Test #3 problems all of it
Summer 2012: Test #1 problems 2,4abe,5-7
Test #2 problems 1-3,4b,5-6
Test #3 problems 2,3,6
Final Exam problems 1-3,4b,6-10
These old final exams are missing a few topics. In particular, they have
no separation of variables problems on them. Some old MAT 1120 (Calculus 2)
problems are worth taking a look at. Several parts mention the trapezoid
rule "T_n" - don't worry about that kind of approximation.
Old Math 1120 exams are found here
Spring 2014: Test #1 problem 1b
Test #2 problem 1
Final Exam Sec. 101 problems 2bc, 4a
Sec. 108 problems 2bc, 6a
Fall 2010: Test #1 problems 1,2a,4,6
Test #2 problem 3b
Spring 2009: Test #1 Form A problems 1,5,7
Form B problems 1,2a,5,7
Test #2 problem 4b
Final Exam problems 1ab,3
Among these you will find some extra u-substituion, approximation of integrals,
and separation of variables problems.
Old resources/handouts to consider...
L'Hopital's Rule Exercises (.pdf) [Source: (.tex)] and Web version
Derivatives Practice (.pdf) [Source: (.tex)] and the Sage version.
Math 1030 "Business Calculus" covered differentiation and some integration, but
did not deal with trig functions. These resources are incomplete - but relevant.
Old Math 1030 Final Exams problems 1 and 2 (i.e. "part 1")
can give you even more practice with derivatives and basic integrals.
Math 1030 Derivatives Practice (.pdf) [Source: (.tex)] and Answer Key (.pdf) [Source: (.tex)]
Math 1030 Integral Practice (.pdf) [Source: (.tex)] and Answer Key (.pdf) [Source: (.tex)]
07/28 Area Approximation Sage demo (simpler interface).
Area Approximation II Sage demo (allows general partitions and table input).
07/23 Reminder: Homework #1 [Source: (.tex)] is due Monday.
Test #3 is Tuesday, July 27th. It covers most of Chapter 4: 4.1-4.7 as
well as a bit about Taylor polynomials. As mentioned in class, I will give you the formula
that defines Taylor polynomials.
Our recent handouts:
Theorems and Definitions Handout [Source: (.tex)]
Taylor Polynomials [Source: (.tex)] and accompanying Taylor Polynomials Sage demo.
L'Hopital's Rule Exercises [Source: (.tex)] and Web version
[Old Tests]
Fall 2017 Test #1: 2b,5-7
Test #2: 2
Test #3: All of it.
Summer 2017 Test #1: 2acd,4b,5-8
Test #2: 2
Test #3: All of it.
Final Exam: 1c,2,5
Summer 2014 Test #1: 2acd,5,6,8
Test #2: 4bc
Test #3: All of it.
Summer 2012 Test #1: 4acde,5-7
Test #2: 1
Test #3: 2,3,6,7
Final Exam: 1cde,3,5,6
07/22 Taylor Polynomials [Source: (.tex)] and accompanying Taylor Polynomials Sage demo.
L'Hopital's Rule Exercises [Source: (.tex)] and Web version
Homework #1 [Source: (.tex)] is due Monday.
07/20 We will be looking at features of graphs and analyzing how the derivative
is related to such features. Here are some related Sage demos...
derivative graphs demo (Sage) and (Desmos)
Optimization Sage Demo.
Classifying Critical Points Sage Demo.
07/16 Test #2 is Tuesday (July 20th) at 8am in Walker 105.
Test #2 covers Chapter 3. The bulk of the test will be on differentiation,
so a great study tool is our Derivatives Practice handout. Of course, quizzes,
notes from class and suggested homework are great things to look at. We will
spend some of Monday's class reviewing for the test.
Much more so than last time, I highly recommend looking at old tests.
I've given a list of relevant problems below. In particular, old
Test #2's from Summer 2014 and 2017 have a lot of good derivative
practice.
[Old Tests]
Fall 2017 Test #1: 8
Test #2: 1,3-5
Summer 2017 Test #1: 9
Test #2: 1,3-7
Final Exam: 4,8(except part f)
Summer 2014 Test #1: 9
Test #2: 1,3,5-7
Summer 2012 Test #2: 3,5,6
Test #3: 5
Final Exam: 8(except part f)
07/15 Upcoming handout:
Theorems and Definitions Handout [Source: (.tex)]
07/14 I plan to hand back tests today along with a blank copy.
Rework the test and turn in your test corrections to get
some missed points back (I'll discuss details in class).
Corrections are due Thursday.
07/13 We moved...again! To Walker 105 (hopefully this is the last classroom change)
07/09 Test #1 is Tuesday (July 13th) at 8am in Walker 310.
Mostly for after the test:
Derivatives Practice (.pdf) [Source: (.tex)] and the Sage version
Test #1 Review:
Our test will cover Chapters 1 & 2. I have several old tests posted
here, but our new textbook is quite different from the old one.
Looking at our quizzes, notes from class, and suggested homework
from the textbook is the best way to prepare. We will spend some of
Monday's class reviewing.
[Old Tests]
Fall 2017 Test #1: 1,2a,3-6,8acd
Test #3: 6a
Summer 2017 Test #1: 1,2ab,3,4(except 4b part iv),5,8,9ac
Test #3: 6a
Final Exam: 1a
Summer 2014 Test #1: 1,2abc,3,4,5,7,8,9acd
Test #3: 6a
Summer 2012 Test #1: 1-3,4abe,5
Test #2: 5b,6b
Final Exam: 1abc
07/08 derivative graphs demo (Sage) and (Desmos)
07/07 tangent line demo (Sage) and (Desmos)
definition of the derivative demo (Sage) and (Desmos)
07/06 average rate of change demo (Sage)
A discussion of asymptotics and dealing with Rational Functions.
Note: The above handout was exapanded turned into expository
papers written with Mike Bosse. For those curious here are links
to preliminary versions of the published papers:
Infinity 1 and Infinity 2.
07/02 Our classroom is moving to Walker 310!
07/01 Definition of Limit Demo (Desmos)
limits demo (Sage)
06/30 Syllabus, tentative schedule, suggested homework posted.
AsULearn activated.
From Lisa Maggiore (lm72407@appstate.edu) our faculty Math Lab coordinator:
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The Math Help Lab is available to provide additional help to
students with a desire to have a comprehensive understanding of
the mathematical topics covered in their class. Tutors are
available to help enhance your learning; they do not serve as a
substitute for going to class and they are not there to do your
work for you. Students work individually, or with others in their
class, and request help from tutors who are standing by to answer
questions. Preference in assistance will be given to students who
attend class regularly, and who exhibit a strong desire to master
the material.
How to use the lab:
Have all necessary materials with you (laptop, textbook, class
notes, etc.). When you click the link and are on Zoom, please
provide your Appstate username for the tutor to sign you in. When
you need assistance, feel free to ask the tutor any questions that
you have. If you have been placed in a Breakout Room so that the
tutors can stay organized, simply send a message through Zoom's Chat
feature. This meeting is a great resource for you to ask questions
or for you to simply have a good working environment. Please utilize
this resource and reach out to me if you have any questions.
Hours and Zoom site:
Sundays through Thursdays, 4-7 pm, ALL MAT courses through 2000 level,
in addition to Praxis prep, GRE prep.
STT Intro courses and "R" has full coverage.
Zoom site: https://appstate.zoom.us/my/genmatlearninglab
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06/25 Course Data
MAT 1110 CALCUL ANALY GEOM I
Section 102
Meeting Times: MTWRF 08:00am-10:10am
Location: HSH 103 WA 310
Final Exam: Wednesday, Aug. 4th 8:00am-10:10am [last day of class]
Course Title & Description:
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MAT 1110. Calculus With Analytic Geometry I (4 credits)
GEN ED: Quantitative Literacy
A study of limits, continuity, differentiation, applications of
the derivative, the differential, the definite integral, the
fundamental theorem, and applications of the definite integral.
Prerequisite: MAT 1025 (with a grade of “C-” (1.7) or higher) or
equivalent. Demonstrated Readiness for College-level Math.
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Any questions about this class?
Send me an email at cookwj@appstate.edu