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21-120 Differential and Integral Calculus

site:cmu.edu syllabus 21-120 calculus pdf

21-120 Diﬀerential and Integral Calculus
Carnegie Mellon University
Department of Mathematical Sciences
Section E
Instructor: Spencer Unger, Wean Hall 7207, sunger@andrew.cmu.edu
Course Dates: June 28, 2010 to August 6, 2010
Lecture: Monday through Friday, 9 to 10:20 AM, Gates Hillman Center 4211
Oﬃce Hours: Tentatively, Tuesday and Thursday 10:30 AM to 12 PM
Text:Stewart, Essential Calculus:Early Transcendentals, First Edition, Thompson Brooks/Cole
Publishing Co., 2007.
Course Webpage: www.math.cmu.edu/~sunger/ Click on the link under teaching.
Prerequisites: A solid understanding of the basic concepts of algebra, geometry and
trigonometry. Usually this means that you have had two years of high school algebra, one year of
high school geometry and half a year of trigonometry. These prerequisites are important. Algebra
is the language through which we will access the concepts of calculus. Proﬁciency in this language
is essential. Many of the concepts that we will cover have trigonometric and geometric content.
Familiarity with trigonometry and geometry will leave us free to explore these concepts.
Calculators: You may use them to check your homework solutions, but they will not me allowed
on tests. The focus of the class is on what we can do with our minds and not on what we can
make a calculator do for us.
Grades: Your grade will be based on a combination of Homework, Tests and a Final. They will
be combined to form your ﬁnal grade as follows:
Homework: 25%
Each of two tests 25%
The Final: 25%
Midterms and the Final: All exams will take place during the normal class time and in the
same room. The two midterms will be on July 9th and July 23th. The Final Exam will be on
August 6th. In the exams you will only be allowed pencils, a sharpener and an eraser. All other
study materials must be put away. No calculators will be allowed.
Homework: There will be six homework assignments. They will be due on each of the
Wednesdays of the course. The ﬁrst assignment will be given out today, June 28th and is due on
June 30th, this Wednesday. Subsequent assignments will be posted on the course webpage as soon
as the previous assignment has been turned in. By necessity the assignments will be long. So do
not wait until the night before to start them. Late assignments will not be accepted.
A note on showing your work. Your written work is the way that you communicate your
understanding of the material. For this reason, showing your work is essential. In order to get full
credit you must provide complete, correct solutions. No credit will be given for answers out of the
blue.
Questions: If you have any questions about the syllabus or the course, then feel free to ask me.
Students with disabilities: If you qualify for accomodation because of a documented disability,
then please come talk to me so that we can accommodate you. You can contact Disability

21-120 Syllabus
2
Resources at 412.268.2013 or at lpowell@andrew.cmu.edu. For more information you can go to
http://www.cmu.edu/hr/eos/disability/index.html.
Some Advice
• Attend class, do your work regularly and do not fall behind. In a summer course we have a
very short time to get through a lot of material. Falling behind is dangerous. All of the
material is interconnected and it is very diﬃcult to catch up once behind.
• Calculus is not diﬃcult, but requires work and dedication.
• If you do not understand something in class, then speak up. Chances are that you are not
the only one who is confused. I am always willing go over something again.
• Studying with other students is a great way to learn, but there are some pitfalls. It is easy
to think that because someone in your study group knows how to do a problem then you
know how to do it. When you study in a group be sure that in the end you know how to do
the problems. Also, copying solutions from your friend is cheating. Not only is it cheating,
but it is self destructive with respect to the exams. On the exams you must be able to do
the problems by yourself in a reasonable amount of time.
• If you are not doing well, do not hesistate to come and talk to me. Do not wait until the
last minute.
• I cannot give you points for how much you worked or even how much you know. Grades will
be given based on what is written on your work. You must provide complete, correct
solutions in order to get full credit. You will have many examples of complete and correct
solutions in class and there are more in the book. The same level of detail is expected of
you in your written work.
Schedule:
Below is a tentative schedule. The exams and homework assignments are ﬁxed, but the section
that we cover on a particular day may change.
Mon June 28 §1.1 Functions and §1.2 Common Functions and their properties
Tue, June 29 §1.3 Deﬁnition of a Limit and §1.4 Calculating limits
Wed, June 30 §1.5 Continuity and The Intermediate Value Theorem and §1.6 Limits involving
inﬁnity
Thu, July 1 §2.1-2 Derivatives
Fri, July 2 §2.3-4 Basic Diﬀerentiation Formulas
Mon July 5 §2.4-5 Derivatives of trigonometric functions and the Chain Rule
Tue, July 6 §2.6 Implicit Diﬀerentiation and §2.7 Related Rates
Wed, July 7 §2.8 Linear Approximation and §3.1 Exponential Functions
Thu, July 8 §3.2 Logarithms and Inverse Functions and §3.3 Derivatives of Logarithms
Fri, July 9 Test 1

21-120 Syllabus
3
Mon July 12 §3.4 Exponential Growth and Decay and §3.5 Inverse trigonometric functions
Tue, July 13 §3.7 Indeterminant forms and L’Hopital’s Rule
Wed, July 14 §4.1 Maximum and Minimum Values and §4.2 The Mean Value Theorem
Thu, July 15 §4.3 Derivatives and the Shapes of of Graphs
Fri, July 16 §4.4 Curve Sketching
Mon July 19 §4.5 Optimization
Tue, July 20 Optimization and Curve Sketching Problems
Wed, July 21 §5.1 Antiderivatives
Thu, July 22 §5.2-3 Integrals
Fri, July 23 Test 2
Mon July 26 §5.4 The Fundamental Theorem of Calculus
Tue, July 27 §5.5 Integration by Substitution
Wed, July 28 Integrating with inverse trigonometric functions
Thu, July 39 §6.1 Integration by parts
Fri, July 30 Integration Problems
Mon August 2 §3.6 Hyperbolic functions and §7.1 Area between curves
Tue, August 3 §7.2-3 Volumes
Wed, August 4 Review
Thu, August 5 Review
Fri, August 6 Final Exam!


21-120 Differential and Integral Calculus Summer I 2011

21-120 : Diﬀerential and Integral Calculus
Summer I 2011
Instructor:
Will Gunther
Email:
wgunther@math.cmu.edu
Oﬃce:
Wean 6211
Oﬃce Hours:
Noon-1pm or by appointment
Course Dates:
May 16-June 24, 2010
Lecture Times:
Weekdays 10:30-11:50
Lecture Place:
Wean 4709
Textbook:
Essential Calculus: Early Transcendentals by Stewart
Introduction: This course is designed to be a ﬁrst course in diﬀerential and integral calculus. Calculus is
a branch of mathematics where the primary questions has to do with rates of change. It has applications in
all areas of applied science and engineering. An understanding of calculus is essential for success in any of
these ﬁelds.
Prerequisites: A good grasp of algebra and trigonometry is required before this course. Algebra is the
“language” of calculus. Another important prerequisite is having suﬃcient geometric intuition, ie. being
able to picture geometric objects and the graphs of functions on the plane.
Course Objectives: By the end of the course, you should be capable of the following:
• Being an expert in basic algebra, especially in understanding what the concept of a function, and know
basic laws of exponentials and logarithms and knowing basic trigonometry
• Understanding the deﬁnition of a limit, knowing how to take limits, knowing when a limit does not
exist, knowing the properties and laws of limits,
• Knowing the limit deﬁnition of continuity, determining whether a function is continuous, knowing the
intermediate value theorem and it’s applications
• Knowing what a tangent line is, knowing what a secant line is, being able to determine average rates
of change using secant lines
• Being able to use the limit deﬁnition of derivatives, Being about to determine the derivative of a
function using the limit deﬁnition of the derivative, Being able to give the equation for the tangent
line using the limit deﬁnition of the derivative.
• Knowing and using the rules for diﬀerentiation (power rule, product rule, quotient rule, chain rule),
knowing the derivative of trig functions and exponentials
• Knowing how diﬀerentiate implicit functions and take higher derivatives.
• Doing linear approximations using tangent lines, knowing and being able to use the mean value theorem.
• Finding extrema of a function, sketching the graph of a function, knowing how optimize and other
applications of diﬀerential calculus
• Knowing what an anti-derivative is, knowing techniques for how to take anti-derivatives (parts, trig-
substitution, u-substitution, partial fractions)
• Knowing and being able to use the Fundamental Theorem of Calculus, understanding the relationship
between integration and diﬀerentiation and the area under the curve of a function
• Knowing and being able to ﬁnd the exact area under the curve of a function, knowing and being able
to ﬁnd the exact area between the curves of two functions.
• Being able to ﬁnd the volume of a solid of revolution (discs and shells) and over a region of the plane
• Know what a diﬀerential equation is, and how to solve very basics ones.
1

Assignments: There will be homeworks assigned weekly due every Monday. You will be given the assign-
ment one week before it is due. You must show all your work to get full credit. Not all problems may be
completely graded for credit. Late homework is never acceptable, but you may hand in your homework early
if you plan on missing a Monday class.
Quizzes: There will be frequent announced and unannounced quizzes given class. This will usually only be
one easy question on the things taught the previous class. Each quiz will be out of 3 points: 0 for did not
take, 1 for completely wrong but did take (an attendance point), 2 for almost right, and 3 for completely
right. There will be about three quizzes every week. There will be three quizzes dropped; quizzes cannot be
made up if you miss class.
Exams: There will be an 80 minute, closed books/notes, midterm and a ﬁnal exam. These account for
the majority of your grade in this course. The midterm is scheduled for June 8th, which is roughly midway
through the semester. The ﬁnal will be June 24th. Exams will be preceded by a workshop day where you
will work in groups to solve some problems.
They will not by explicitly comprehensive, but by the nature of the course if you don’t have a full
understanding on the midterm you will probably not do well on the ﬁnal exam.
You may take the exam before the scheduled date with my permission. Makeups after the date of the
scheduled exam will only be given in the case where you can provide documented proof of an emergency or
illness.
Grades: Your grade will be based on all the above work, and only that work. There’s no possibility for
extra credit. You are more than welcomed to discuss with me if you feel any assignment has been mis-graded
or you believe you deserve more credit. You have every opportunity to earn an A in this course. Here is
roughly how your grade will be calculated:
Homework:
20%
5 total assignments
Quizzes:
20%
≈18 total, lowest 3 dropped
Midterm:
30%
Final Exam:
30%
The grades will be assigned on the standard scale:
A
90-100%
B
80-89%
C
70-79%
D
60-69%
R
< 60%
If necessary, these cut oﬀs might be changed at the end of the semester, but only for your beneﬁt.
Course Policies and Advice
• Calculators are never to be used on any in-class assignment. You may check your homework with a
calculator, but work must be shown. Calculators often slow work and are a crutch for understanding
topics and procedures.
• Attendance is strongly encouraged, especially considering 20% of your grade will be determined by
quizzes, which will be largely unannounced.
• If you do not understand something in class, please ask. Odds are, if you do not understand something
then others in the class do not. If you are not willing to speak up during class, you should ask me
during my oﬃce hours.
• Do not wait till the last minute for anything. The homework will take time. Exams will creep up on
you. Time is not a luxury we have in a summer class.
• My oﬃce hours are for your beneﬁt. Please come to them if you have any concerns or need any help
with the course. You can also come if you just want to say hi.
• Academic Honesty: All work handed in by you, whether in class or homework, must be the work of
yourself and no one else. This will be strictly enforced. The penalty for any violation will be at least
a 0 on that assignment.
• Special Needs: If you have documentation supporting the needs for special accommodations (extra
time on tests, special seating, etc)then you must present it to me promptly. The day of the test is not
prompt. I will assist with any reasonable requests.
2

• I reserve the right to make any changes to this syllabus during the course of the semester
Important Dates:
May 16:
Class Begin
May 20:
Drop Deadline
May 30:
Memorial Day; No Classes
June 8:
Midterm Exam
June 23:
Last Day of Class. Withdrawal Deadline
June 24:
Final Exam
3

Course Calendar: This is subject to change if necessary
May
Sun
Mon
Tue
Wed
Thu
Fri
Sat
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
§1.1-2
Functions
§1.3-4
Limits
§1.5-6
Continuity
§2.1-2
Tangents
and Deriva-
tives
§2.3-4
Derivative
Rules
22
23
24
25
26
27
28
§2.4-5
Chain Rule
§2.6-7
Implicit Dif-
ferentiation
§2.8-3.1
Linear
Approxima-
tions
§3.2-3
Logs,
Ex-
ponentials,
and Inverses
§3.4-5
Exponential
Decay
and
Inverse Trig
29
30
31
Memorial
Day
§3.7
L’Hˆopital’s
Rule
June
Sun
Mon
Tue
Wed
Thu
Fri
Sat
1
2
3
4
§4.1-2
Extrema
and MVT
§4.3-4
Graph
Shapes
and
Sketching
§4.4-5
Sketching +
Optimiza-
tion
5
6
7
8
9
10
11
§4.7,5.1
Anti-
derivatives
Workshop
Day
Midterm
§5.2-3
Deﬁnite In-
tegrals
§5.4
Fundamental
Thm of Cal-
culus
12
13
14
15
16
17
18
§5.5
u-
substitution
§6.1
Parts
§6.3
Partial Frac-
tions
§6.2
Trig-
substitution
§6.6
Integration
+ Improper
Integrals
19
20
21
22
23
24
25
§7.1
Area
Be-
tween
Curves
§7.2-3
Volume
§7.3
Volumes
of
Solids
of
Revolution
Workshop
Day
Final
Exam
26
27
28
29
30
4


MATH 21-120 Differential and Integral Calculus, Spring 2007

                                             MATH 21-120
                   Differential and Integral Calculus
                      Spring 2007 Course Syllabus

Course Description: This course is intended primarily for Business
Administration and Economics majors. Topics include functions, limits,
derivatives, logarithmic, exponential, and trigonometric functions, inverse
functions; L'Hospital's Rule, curve sketching, Mean Value Theorem,
related rates, linear and quadratic approximations, maximum-minimum
problems, inverse functions, definite and indefinite integrals, and
hyperbolic functions; applications of integration, integration by
substitution and by parts. We will cover most of the material in Chapters
1--6.

Textbook: Calculus: Early Transcendentals, fifth edition, by James
Stewart; published by Brooks/Cole; 2003

Instructor: Weining Kang, WEH 6218, 268-8486,
weikang@andrew.cmu.edu
• Lecture: MWF 12:30pm -- 1:20pm MM 103
• Office hours: M 7:00pm -- 9:00pm, W 8:00pm -- 9:00pm in WEH
6218

Teaching Assistants:
Elena Cristina Canepa, ecanepa@andrew.cmu.edu
• Office/hours: WEH 6213/TBA
• Recitation (A): TuTh 8:30am -- 9:20am DH 1212
• Recitation (B): TuTh 9:30am -- 10:20am PH 226B

Gregory E Peim, gpeim@andrew.cmu.edu
• Office/hours: WEH 6215/ TBA
• Recitation (C): TuTh 9:30am -- 10:20am BH 136A

Attendance: Lecture and recitation attendance is required. In the event
that you miss a class, it is your responsibility to get the material from
another student. It is absolutely vital that you read the assigned material in
advance so that you may be sufficiently prepared to understand the

concepts when they presented in class and be able to ask focused questions
about concepts that are not yet clear to you.

Homework: Homework assignments will be announced in lectures and
will also be posted on the course website. They should be completed by
the indicated due dates. Homework will be collected in the recitation on
the due dates. Late homework will not be accepted. The teaching
assistants have mailboxes in Wean Hall 6113. You can turn in your work
there in advance of the due dates if you will be unable to attend. All
assignments must include your recitation section letter and will be
returned to you during recitation. These homework assignments will
comprise a substantial portion of your grade and you will be expected to
take them seriously and to write them up neatly. Please make every effort
to complete all the assigned exercises. The assigned exercises will be used
as a resource for constructing your exams.

Exams and Quizzes: There will be three (3) midterm exams as well as
one (1) final exam. The final exam is scheduled by the University. The
midterm exams are tentatively scheduled for February 12th, March 19th
and April 23rd. Makeup exams will be given only for appropriately
documented reasons of illness, family emergency, religious obligation, or
participation in a University sponsored event. No notes (or books) or
calculators will be allowed during the exams.  There will be seven (7)
quizzes. Those quizzes will be taken during the recitations. The dates of
quizzes will be announced during the lectures in advance. There will be
no makeup quizzes.

Grading: Your course grade will be based on the following:
• 15% Homework, 10% Quizzes, 15% Exam 1, 15% Exam 2, 15%
Exam 3, 30% Final Exam.

Academic Dishonesty: Academic dishonesty is considered a serious
offense at Carnegie Mellon University. Students caught cheating will face
an administrative sanction which may include failure of the course or even
expulsion from the university.


76-101 Interpretation and Argument, Fall 2005, Section AA

site:cmu.edu syllabus 76-101 interpretation and argument pdf

<!doctype html public "-//w3c//dtd html 3.2//en">

<title>Interpretation and Argument, Fall 2005, Section AA</title>
<meta name="GENERATOR" content="Arachnophilia 4.0">
<meta name="FORMATTER" content="Arachnophilia 4.0">

76-101: Interpretation and Argument, Fall 2005, Section AA

Go to My Home Page

Science and Technology, Society and Culture: Course Resources Home Page

Syllabus (The syllabus includes the complete course description,
    list of texts, assignment due dates/daily schedule, and more).

76-101AA, Fall 2005

Assignments

Summary Assignment

Summary Assignment and Grading
        Criteria (in Word)

Summary Assignment and Grading
        Criteria (in HTML)

Synthesis-Analysis Assignment

Synthesis-Analysis Assignment and
        Grading Criteria (in Word)

Synthesis-Analysis Assignment and
        Grading Criteria (in HTML)

Contribution Assignment

Contribution
        Assignment and Grading Criteria (in Word)

Writing Samples: A summary by me, advice, and student samples (anon.)

Three Ways to Improve Your
      Writing: This document consists of a not-so-good summary, and clear-cut
      suggestions on how to improve it.

in HTML

Summary Sample Two: This sample
      is an improved version of the previous, after the recommended changes have
      been made.

 Summary of Sandra Harding's The
      Science Question in Feminism (by me) This is a sample of a summary
      essay. It deals with an entire book, but it nevertheless covers much of
      what I want you to do in summary, addressing both the problem as Harding
      sees it, and her solution. However, the language could have been simpler
      and more clear.

Writing and Reading Resources

Citation Format Guide

Peer Review Guide

101 Paper Style Sheet:
      This is the definitive style guide for papers written in this class.
      Please follow it closely.

Rewrite Policy for Papers that
      Have Been Graded

Readings, roughly in order of class coverage (updated regularly:
    see syllabus for full bibliographic citation)

Zoline,
      "The Heat Death of the Universe"

Aronowitz, "Science and Technology
      as Hegemony"

Hubble, "The Nature of Science"

*Barnes, "The Problem of Knowledge"

*Bloor, "The Strong Programme in the Sociology
      of Knowledge"

Lewontin, "A Reasonable Skepticism"
      (If you would like to read more about "genetic determinism," one of the
      concepts Lewontin alludes to in this essay, scroll down to "Additional Reading
      Material" and see 'Essays About "Genetic Determinsm"').

Namenwirth, "Science Seen Through a
      Feminist Prism"

Gross and Levitt, "Does It Matter?"

*Nanda, Meera, Against social de(con)struction
      of science: cautionary tales from the third world Vol. 48, Monthly Review,
      03-01-1997, pp 1(20). (A socialist critic warns of the pernicious effects
      of "social constructivism" in science studies on the Third World).

Levine, "What Is Science Studies For and
      Who Cares?"

  * Not Required.

The Sciences, Literature and the Arts Segment: I have decided to
      link to these online versions of Peacock's, Shelley's, Huxley's and Arnold's
      essays in the interests of conveniencce and increased access. We will discuss
      citation of these text in class, for those who will want to cite them in
      their upcoming papers.

Thomas
        Peacock, "The Four Ages of Poetry"

Percy
        Shelley, "A Defence of Poetry": This is a very good online version,
        a new encoded transcription from the photographic facsimile in The Bodleian
        Shelley Manuscripts: A Facsimile Edition, XX, ed. Michael O'Neill (New
        York and London: Garland, 1994): 20-83; PR 5401 1986 v20 Robarts Library.
        The source of the facsimile is Bodleian Library Ms. Shelley e.6., Editor:
        Ian Lancashire, Rep. Criticism On-line (1996).

Thomas Huxley, "Science
        and Culture" (1880).

Matthew Arnold, "Literature
        and Science" (1882).

C.P. Snow, The
        Two Cultures (first printed 1959)

E.O. Wilson, "The Arts
        and Their Interpretation," from Consilience: The Unity of Knowledge:
        210-37.

George Levine, "One
        Culture: Science and Literature," from One Culture: Essays
        in Science and Literature: 3-32.

*John Brockman, "The
        Emerging Third Culture" (1995).

Science and Religion Segment (more to follow)

Auguste Comte, Introduction to the Poitive
        Philosophy

Bloor, "Sources of Resistance to the
        Strong Programme"

John Hedley Brooke, Introduction and "Interaction
        Between Science and Religion: Some Preliminary Considerations,"
        from Science and Religion, Some Historical Perspectives: 1-51

*John
        Tyndall, "The Belfast Address"

      * Not Required.

Additional items of interest:

 Sociology
        of Knowledge

Biodeterminsm

 Essays About "Genetic Determinism":

 Garland, Allen, E., "Science
          Misapplied: the Eugenics Age Revisted"

Reviews and other "Gattaca" material:

 "Splicing into some serious gray
            areas: `Gattaca' is a rarity: a thoughtful science-fiction Hollywood
            offering", by Burkhard Bilger

"We have ways to make sure that
            your genes become your destiny", by Tom Wilkie

"Dishonesty
        in Science," Richard Lewontin

The
        Third Culture,
        John Brokman, ed. (The collection)

The "Sokal Affair":

      Links to texts related to the once-heated "Sokal hoax." The "Sokal Affair"
      began with an article by physicist Alan Sokal, published in Social Text,
      a rather elite academic journal of cultural analysis, edited by Stanley
      Aronowitz and Andrew Ross. The essay, later revealed as a parody of "social
      constructivist" science criticism, set off what have become known as the
      "science wars." You might want to begin with the first Sokal essay (the
      hoax) and continue from there.

The hoax, published in Social Text: "Transgressing
        the Boundaries: Towards a Transformative Hermeneutics of Quantum Gravity",
        by Alan Sokal

Revelation of the hoax in Lingua Franca: "A
        Physicist Experiments With Cultural Studies," by Alan Sokal

Social Text's editorial response to Sokal's Lingua Franca
        article: This
        Site was down the last time I tried it.

FEEDBACK

 Click here to send a message to me.


76-101 Interpretation and Argument, Sections Q and T

site:cmu.edu syllabus interp freshman writing pdf

      <TITLE>76-101 Interpretation and Argument, Sections Q & T</TITLE>

76-101 Interpretation and Argument, Sections Q & T
Spring 1999

Instructor: David A. Van Every

Syllabus: 76101 Q & T Syllabus_S99

The Synthesis-Analysis Paper Assignment: Graded Assignment #2

The Contribution Paper Assignment: Graded Assignment #3

The "Many cultures in the discussion classroom" homework assignment: ManyCulturesInTheClassroom

Supplementary Materials:

   * Example synthesis-analysis papers -
SynthesisAnalysisExamples

   * Synthesis-Analysis Criteria Scale - SynthesisAnalysisScaleS99

   * Synthesis-Analysis Peer Review Form - AnlprrevS99

   * Example Contribution papers -
ContributionExamples

   * Contribution Paper Criteria Scale - ContribScaleS99

   * Contribution Paper Peer Review Form - ContribPaperPeerReview

   * "A Different Place" Materials -
ADifferentPlaceMilestones, ValueOrientations

   * Topical helps - ArgumentsForExistence&Significance, ArgumentByAnalogy, ArgsOfPolicy, ArgsOfClassification, ArgsOfValues, Quotations, Support, PatternsOfOrganization, DevilsAdvocate, SixClaims, Forecasting, MaintainingFocus, Comparisons&Disjunctions, TopicSentences, GivingResearchTalks, & Refutation.

A Supplemental Reading:

On Culture, Canons, and College Curriculum (From Review of Higher Education 21.1)

Scanned Readings:

Teaching and Learning. In Ideological Dilemmas: A Social Psychology of Everyday Thinking. (pp. 41-64).

Billig, M. et al (1988).  This is Socrate's drawing: Socrate's drawing.

Deconstructing Hard Times. In Bloom H (Ed.), Charles Dickens's Hard Times. (pp. 113-127).

Connor, S. (1987). This is the diagram for Connor's article:
"statistics" vs "stuterings". Here are definitions of metonymy and metaphor:
MetonymyAndMetaphor.

Issues in Education (Asante, Wortham, Lehrman, & Spender). In Strategies of Argument. (pp. 637-662).
 Hirschberg, S. (1996).

Culture and Self in Multicultural Education: Reflections on Discourse, Text, and Practice.

Hoffman, D. M. (1996).

Multicultural discourse and curriculum reform: A critical perspective.

McCarthy, C. (1994).

Multicultural education: Toward a historical and political inquiry.

Watkins, W. H. (1994).


M 408C Differential and Integral Calculus Syllabus

site:utexas.edu syllabus m 408c calculus pdf

M 408C: Differential and Integral Calculus
The University of Texas at Austin, Fall 2024
Registrar Information: Unique # 53290 and # 53295, QR ﬂag, Core MA
Lectures: TueThu 12:30-2pm in JGB 2.216. Aug 27 – Dec 5, with Nov 26 and 28 off.
Discussion Sections: MonWed in CPE 2.210. Aug 28 – Dec 9, with Sept 2, Nov 25 and 27 off.
For # 53290, 2-3pm. For # 53295, 3-4pm.
Canvas Webpage: https://utexas.instructure.com/courses/1396107
Instructor: Joe Kileel, jkileel@math.utexas.edu
Ofﬁce Hours: TueThu 2:15-3:15pm in POB 3.434 (For math questions, ofﬁce hours are better than email.)
Teaching Assistant: Mina Haghighat Parast, mina.hparast@utexas.edu
Ofﬁce Hours: MonWed 12:15-1:45pm in PMA 11.104
Course Description: M 408C is the standard ﬁrst-semester calculus course. It is
directed toward students in the natural sciences and engineering. Its emphasis is
on problem-solving and computation, not the theory of analysis. Students should
gain some understanding of analysis, but the majority of proofs in the textbook will
not be covered in class. The topics for M 408C include many of the basic issues in
the theory of functions of a real variable: algebraic, trigonometric, logarithmic and
exponential functions and their limits, continuity, derivatives, maxima and minima,
graph sketching, integration, area under a curve, and volumes of revolution.
Prerequisites: Appropriate score on the mathematics placement exam or M 305G
with a grade of at least B-.
Required Textbook: James Stewart, Calculus: Early Transcendentals, 9th Edition
(see below for statement on textbook access)
General Course Goals: M 408C is primarily for people who will use calculus in their
profession. Therefore our course goals focus on professionalism:
• Learning technical skills;
• Studying: taking and reviewing notes;
• Working with other people toward a common goal;
• Applying quantitative reasoning to real-world problems.

Homework: There will be 11 homework assignments, generally due on Mondays at
11:59pm (except Labor Day, the Mondays just after midterms and during Fall Break).
Homework is assigned and turned in using Quest (https://quest.cns.utexas.edu/).
Your lowest 3 homework scores will be dropped; therefore, no late or makeup home-
works will be accepted. It is permitted for students to discuss homework together.
However, each of you must independently submit your own homework answers.
Exams: There will be three 75-minute midterms in-class starting at 12:30pm in JGB
2.216, tentatively on September 19, October 17 and November 14. There are no
makeup midterms; however, the lowest of your 3 midterm scores will be dropped.
There is a cumulative ﬁnal, tentatively on December 12 at 1-3pm in GAR 102. There
is no makeup ﬁnal. No books, notes, or calculators may be used during the exams.
Final Grade: In determining letter grades, your scores will be weighted as follows:
homework
midterms
ﬁnal
20%
50%
30%
Thus since you have 3 homework drops and 1 midterm drop, each counted home-
work and midterm is worth 2.5% and 25% respectively. After rounding your weighted
total out of 100 to the nearest integer, ﬁnal letter grade cut-offs will be the following:
100-92
91-90
89-86
85-82
81-80
79-76
75-72
71-70
69-66
A
A-
B+
B
B-
C+
C
C-
D+
65-62
61-60
59-0
D
D-
F
Drop Deadlines: The last day to drop the course without permission is September
11. The last day to drop it for academic reasons is November 20. After this, students
may go to the Dean’s Ofﬁce to request a drop for urgent non-academic reasons.
Lectures vs. Discussion Sections: You are encouraged to attend the full-class lec-
tures on Tuesdays and Thursdays, in addition to your assigned discussion sections
on Mondays and Wednesdays. In lectures, I will present the main conceptual ideas
and work some representative problems and computations. In discussion sections,
you will have the opportunity to ask the teaching assistant more questions about
the material and homework. You can also practice problem solving by working on
problems not found in the homework. These problems may sometimes be more
challenging than the HW; they can inspire discussion amongst the students and TA.
Canvas: Our course webpage will be housed on Canvas. Many important class an-
nouncements and course materials will be posted there. Course materials will in-
clude problem sets for discussion sections and optional introductory pre-recorded
videos that you’re invited to watch before lectures. Please monitor Canvas regularly.

Textbook Access: The textbook materials for this class are available through the
Longhorn Textbook Access (LTA) program, a new initiative between UT Austin, The
University Co-op and textbook publishers to signiﬁcantly reduce the cost of digital
course materials for students. You are automatically opted into the program but can
easily opt-out (and back in) via Canvas through the 12th class day. If you remain
opted-in at the end of the 12th class day you will receive a bill through your What I
Owe page and have until the end of the 18th class day to pay and retain access. If you
do not pay by the 18th class day, you will lose access to the materials after the 20th
class day and your charge will be removed. More information about the LTA program
is available at https://www.universitycoop.com/longhorn-textbook-access.
Quest: Homework assignments for this course will be generated via Quest from a
data bank of questions developed speciﬁcally for the course. These questions are
based, for most part, on ones in the text. Each question in the bank is an algorithm
that produces many different versions of the same question, so is ideally adapted to
producing individualized homework assignments and exams. Quest also gives you
immediate feedback: after you submit your homework, your answers are graded as
correct or incorrect, and individualized solutions become available. Quest requires a
$25 charge per student for its use. After the 12th day of class, when you log into Quest
you will be asked to pay via credit card on a secure payment site. You have the option
to wait up to 30 days to pay while still continuing to use Quest for your assignments.
If you are taking more than one course using Quest, you will not be charged more
than $50/semester. Quest provides mandatory instructional material for this course,
as does our text. For payment questions, please email quest.fees@cns.utexas.edu.
Further Educational Resources: Consider using additional resources which are at
your disposal to do your best in this course.
• CalcLab: https://www.ma.utexas.edu/academics/undergraduate/calclab
“CalcLab is a place for students enrolled in calculus courses at UT to work
with classmates and receive help on calculus problems. CalcLab is run by the
Mathematics department, and is staffed with current calculus teaching assis-
tants, as well as advanced undergraduate learning assistants." This fall, Cal-
cLab opens Tuesday, September 3 in PMA 8.136 and will keep the hours of
Monday – Thursday 2-7pm and Friday 2pm-5pm. CalcLab learning modules
for M 408C are at https://web.ma.utexas.edu/users/m408n/m408c/CurrentWeb/
• Sanger Learning Center: https://undergradcollege.utexas.edu/slc
“Sanger Learning Center provides academic support for all UT Austin stu-
dents. Each year, we help more than 11,000 students achieve their academic
potential with our free services." SLC offers ways to improve math skills by
providing Math Refreshers & Reviews (MRRs) and several forms of tutoring.
• Computer Lab: There is an undergraduate computer lab in PMA 7.122, and it
is open to all students enrolled in Math courses. Students can sign up for an

individual account themselves in the computer lab using their UT EID. The
lab computers could be used to complete the Quest homework assignments.
Services and Support: UT Austin offers special services to further support students.
• Students with Disabilities: UT is committed to creating an accessible and in-
clusive learning environment consistent with university policy and federal and
state law. If you are a student with a disability, or think you may have a dis-
ability, and need accommodations please contact Disability and Access (D&A)
http://diversity.utexas.edu/disability/. If you are already registered with D&A,
deliver your Accommodation Letter to me as early as possible in the semester.
Students with disabilities need to make arrangements with the instructor or
the Campus Testing Center (https://testingservices.utexas.edu/campus-testing-
center) 2 weeks in advance of each exam, else the accommodations are for-
feited.
• Religious Holidays: Students who need accommodations due to a religious
holiday must make arrangements with me at least 2 weeks in advance.
• Dean of Students: The Ofﬁce of the Dean of Students is committed to helping
students reach their potential. If there are circumstances or emergencies mak-
ing it impossible for you to be successful, consider contacting the Dean of Stu-
dents and the Student Emergency Services: https://deanofstudents.utexas.edu
and https://deanofstudents.utexas.edu/emergency/.
• Counseling and Mental Health Center: This provides support through assess-
ment and referral, group and individual counseling, psychiatry and well-being
services to the students of UT Austin: https://www.cmhc.utexas.edu.
• Recordings: Lectures and discussion sections will not be recorded.
Flag Statement: M 408C carries the Quantitative Reasoning (QR) ﬂag. QR courses
are designed to equip you with skills that are necessary for understanding the types
of quantitative arguments you will regularly encounter in your adult and profes-
sional life. You should expect a portion of your grade to come from your use of
quantitative skills to analyze real-world problems. This course may be used to fulﬁll
the math component of the university core curriculum and addresses the following
three core objectives established by the Texas Higher Education Coordinating Board:
communication skills, critical thinking skills, and empirical and quantitative skills.
Student Honor Code: “I pledge, as a member of the University of Texas community,
to do my work honestly, respectfully, and through the intentional pursuit of learning
and scholarship." The Institutional Rules on Student Services and Activities, Chap-
ter 11 provides detailed descriptions of conduct and academic integrity standards:
https://deanofstudents.utexas.edu/conduct/standardsofconduct.php.
Tentative Lecture Plan: We plan to study parts of Chapters 1-6 of Stewart’s book.

Day
Date
Topic
Reading
Notes
Tu
Aug 27
introduction; generalities on functions
1.1, 1.2, 1.3
Th
Aug 29
exponentials; inverse functions; logarithms
1.4, 1.5
Tu
Sept 3
intuition from tangents and velocities; limits
2.1, 2.2
HW 1 due
that night
Th
Sept 5
limit laws
2.3
Tu
Sept 10
continuity; horizontal asymptotes
2.5, 2.6
HW 2 due
night before
Th
Sept 12
derivatives and rates of change
2.7
Sept 11 drop
deadline
Tu
Sept 17
derivative as a function; midterm review
2.8
HW 3 due
night before
Th
Sept 19
MIDTERM 1
Tu
Sept 24
derivatives of polynomial and exponential
3.1, 3.2
functions; product rule
Th
Sept 26
quotient rule; derivatives of trig functions
3.2, 3.3
Tu
Oct 1
chain rule
3.4
HW 4 due
night before
Th
Oct 3
implicit differentiation; derivatives of log
3.5, 3.6
and inverse trig functions
Tu
Oct 8
rates of change in science; exponential
3.7, 3.8
HW 5 due
growth and decay
night before
Th
Oct 10
related rates problems; linear approximation
3.9, 3.10
Tu
Oct 15
hyperbolic functions and their derivatives;
3.11
HW 6 due
midterm review
night before
Th
Oct 17
MIDTERM 2
Tu
Oct 22
maximum and minimum values
4.1
Th
Oct 24
mean value theorem; how derivatives affect
4.2, 4.3
guest lecturer
the shape of a graph
Tu
Oct 29
how derivatives affect the shape of a graph
4.3
HW 7 due
night before
Th
Oct 31
indeterminate forms and l’Hospital’s rule;
4.4, 4.5
curve sketching summary
Tu
Nov 5
optimization problems; antiderivatives
4.7, 4.9
HW 8 due
night before
Th
Nov 7
areas and distances; deﬁnite integrals
5.1, 5.2
Tu
Nov 12
fundamental theorem of calculus; midterm
5.3
HW 9 due
review
night before
Th
Nov 14
MIDTERM 3
Tu
Nov 19
indeﬁnite integrals and net change theorem
5.4
Nov 20 Q-drop
deadline
Th
Nov 21
substitution rule
5.5
Tu
Nov 26
FALL BREAK
Th
Nov 28
FALL BREAK
Tu
Dec 3
areas between curves; volumes
6.1, 6.2
HW 10 due
night before
Th
Dec 5
volumes; volumes by cylindrical shells; ﬁnal
6.2, 6.3
review
Th
Dec 12
FINAL EXAM
HW 11 due
Dec 9 night


M 408C Differential and Integral Calculus Course Outline