Math 1110 Section 102 Homepage
News & Announcements
08/05 I just sent out an email with your final grade report including 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.
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 stop by my office or send me an email. I'd love to help if I can!
08/02 The Final Exam is Friday (at 8am).
You may bring one page (one side) of notes/formulas 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, homeworks, 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, midpoint, and trapezoid 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 and simple initial value
problems.
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.
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.
Here are updated/somewhat revised Math 1030 handouts:
Some Derivative Practice [Source: (.tex)]
Some Integral Practice [Source: (.tex)]
08/01 Repurposed (& somewhat revised) from the now defunct Math 1030 (Business Calculus):
Some Derivative Practice [Source: (.tex)]
Some Integral Practice [Source: (.tex)]
07/29 Homeworks #4 [Source: (.tex)] is due Tuesday, August 2nd.
Area Approximation Sage demo (simpler interface).
Area Approximation II Sage demo (allows general partitions and table input).
07/26 Reminder: Homeworks #3 [Source: (.tex)] is due tomorrow (Wendesday) at the beginning of class.
Test #3 is Thursday, July 28th. 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
07/25 Taylor Polynomials [Source: (.tex)] and accompanying Taylor Polynomials Sage demo.
L'Hopital's Rule Exercises [Source: (.tex)] and Web version
Don't forget that Homeworks #2 & #3 [Source: (.tex)] are due Monday and Wednesday.
07/22 We have been 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.
07/20 Homeworks #2 & #3 [Source: (.tex)]
Homework #2 covers related rates and is due Monday (July 25th).
Homework #3 covers optimization and Taylor polynomials and is due Wednesday (July 27th).
07/19 Handout: Theorems and Definitions Handout [Source: (.tex)]
Test #2 is Thursday (July 21st) at 8am in Walker 314.
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 Wednesday's class reviewing for the test.
Again, 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)
More derivatives practice from "Business Calculus" (a course that no longer exists):
Math 1030 Derivatives Practice (.pdf) [Source: (.tex)] and Answer Key (.pdf) [Source: (.tex)]
07/18 Newton's method Sage demo.
07/15 Some Trig Formulas [Source: (.tex)]
Derivatives Practice (.pdf) [Source: (.tex)] and the Sage version
07/13 Test #1 is Thursday (July 14th) at 8am in Walker 314.
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.
Old test questions are good, but the material does not perfectly line
up, so I have a list of relevant old test questions posted below.
I highly recommend looking at our quizzes and the first homework as
well as notes from class and suggested homework.
Today's review should be helpful too!
[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 Homework #1 [Source: (.tex)] is due Monday (July 11th).
derivative graphs demo (Sage) and (Desmos)
tangent line demo (Sage) and (Desmos)
07/07 definition of the derivative demo (Sage) and (Desmos)
average rate of change demo (Sage)
07/06 Quiz #1 is tomorrow. It will cover Sections 1.1 through 1.5.
(We lightly discussed 1.6, but I won't quiz/test over that material.)
Here is an old discussion of asymptotics and dealing with rational functions [Source: (.zip)]
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:
Crossing Through and Bouncing Off Infinity: Graphing Rational Functions
and
Types of Infinity.
07/05 Computing limits demo [Sage]
Possibly helpful: Definition of Limit Demo (Desmos)
06/29 Syllabus, tenative schedule, & suggested homework
have been updated & posted.
Math lab & Summer Tutoring information can be found here.
06/25 Course Data
MAT 1110 CALCUL ANALY GEOM I
Section 102
Meeting Times: MTWRF 08:00am-10:10am
Location: WA 314
Final Exam: Aug. 5th 8:00am-10:10am [last day of class]
Course Title & Description:
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
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-" or higher) or
equivalent. Demonstrated Readiness for College-level Math.
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
Any questions about this class?
Send me an email at cookwj@appstate.edu