MATH 140

MATH 140

MATH 140

MATH 110

MATH 140

MATH 022

MATH 026

MATH
041

textbook and access to the ebook.

Exam Windows

exam.

II
100

Final Examination

final examination.

Midterm Exams (100 points each)

Final Exam (200 points)

Textbook

textbook

textbook

textbook

textbook

LEARNING OBJECTIVES

learning objectives

assignments

assignments

ASSIGNMENTS

assignments

textbook

assignments

assignments

MATH 140 Course Syllabus

Course Syllabus
Penn State University - University Park, Online
MATH 140, Calculus with Analytic Geometry I
GENERAL DESCRIPTION:
MATH 140 is the first course in a two- or three-course calculus sequence for students in science,
engineering and related fields.
Calculus is an important building block in the education of any professional who uses quantitative
analysis. This course introduces and develops the mathematical skills required for analyzing change
and creating mathematical models that replicate real-life phenomena. The goals of our calculus
courses include to develop the students’ knowledge of calculus techniques and to use the calculus
environment to develop critical thinking and problem solving skills.
CATALOG DESCRIPTION: MATH 140
(GQ) CALCULUS WITH ANALTYIC GEOMETRY 1 (4 semester hours)
Functions, limits; analytic geometry; derivatives, differentials, applications; integrals, applications.
Students may only take one course for credit from MATH 110, 140, 140A, 140B, 140E, 140G, and
140H.
PREREQUISITE:
Students enrolling in MATH 140 must have demonstrated proficiency in pre-calculus mathematics, by
1) a satisfactory score on the math proficiency/placement exam, or 2) satisfactory completion of
MATH 022 (College Algebra II) AND MATH 026 (Trigonometry),or 3) satisfactory completion of MATH
041 (College Algebra and Trigonometry).
TEXT:
Required Materials:
1. Textbook:Calculus:  Early  Trancendentals by Jon Rogawski, Colin Adams, and Robert
Franzosat.  4thed.  2019.  MacMillan.
2. Online:
An activated Achieve account.
Options for Purchasing the Required Materials:

The required materials are available in three different forms (you need to purchase only one):
Electronic Package: isbn9781319371883. This option provides access to the ebook version of the
course materials through a single Achieve account.
Print Package: isbn 9781319371869 This option includes a hardback edition of the textbook and
access to the ebook. Note: The print option includes an activation code for the ebook as well, so
anyone who purchases the print option will also have access to the ebook version through their
Achieve account.
Loose-Leaf Package: isbn 9781319371845. This option includes a printed loose-leaf edition of the
textbook and access to the ebook.
Note: As with the Print option he loose-leaf option includes an activation code for the ebook as well,
so anyone who purchases the loose-leaf option will also have access to the ebook version through
their Achieve account.
Where to Purchase the Required Materials:
Electronic: Directly through Achieve. To purchase, you will need the Course ID provided to you on
the first day of class, which you can you then enter on the Achieve Website.
Print & Loose-Leaf:
(i)  Directly through Achieve.  (As with the Electronic Option, you will need the Course ID provided to
you on the first day of class.)
(ii)  The Penn State University Bookstore.
An Important Note:
Please do not purchase or rent any edition of the textbook through any source not listed above.
Currently, only the publisher and the University Bookstore offers the edition of the textbook used in
this class.  Please check with your instructor before buying or renting through another source.
COURSE FORMAT:
This course is an online offering. Each week, short lecture videos will be available to watch and live
sessions will be scheduled; these live sessions will be recorded. Additionally, homework (online and in
text) will be available.  Assessment will occur via weekly online quizzes, two midterm exams, and a
comprehensive final exam.  See Student Responsibilities for additional expectations.
LEARNING OBJECTIVES
Upon successful completion, a student should be able to:
1. Use linear, exponential, and sinusoidal functions, as well as transformations, compositions,
inverses, and piecewise combinations thereof to model real-world scenarios.

2. Calculate or estimate limits of functions given by formulas, graphs, or tables.
3. Determine whether a function given by a graph or formula is continuous at a given point or on a
giveninterval or on its domain.
4. Determine whether a function given by a graph or formula is differentiable at a given point or on a
giveninterval.
5. Distinguish between the average and instantaneous rate of change and interpret the definition of
the derivative graphically.
6. Determine derivatives of some functions using the limit definition of the derivative.
7. Calculate derivatives of polynomial, rational, and common transcendental functions, and
combinations ofthese functions.
8. Calculate derivatives of composite functions.
9. Calculate derivatives of implicitly defined functions and inverse functions.
10. Give examples to illustrate important theorems.(Intermediate Value Thm, Rolle’s Thm, Mean
Value Thm, Extreme Value Thm, Squeeze Thm)
11. Apply the ideas and techniques of derivatives to related rate problems.
12. Apply the ideas and techniques of derivatives to finding local and absolute extrema.
13. Apply the ideas and techniques of derivatives to graphing functions.
14. Apply the ideas and techniques of derivatives to optimization problems.
15. Find linear approximations of functions (differentials).
16. Calculate the Riemann sum for a given function and partition.
17. Describe a definite integral as the limit of a Riemann sum.
18. Determine the antiderivatives of some algebraic functions and transcendental functions.
19. Calculate values of definite integrals using antiderivatives and areas.
20. Use the Fundamental Theorem of Calculus to determine the derivative of an integral.
21. Use the Fundamental Theorem of Calculus to evaluate definite integrals.

22. Use the Net Change Theorem to solve accumulation problems.
23. Determine the units and give the practical interpretation of derivatives and definite integrals.
24. Synthesize concepts from two or more separate sections of the text.
This course satisfies the General Education learning objectives Key Literacies and Critical and
Analytical Thinking.
CALCULATORS:
A graphics calculator/plotting program/computation platform is useful as a study and learning tool
when used appropriately, but it is not essential. Calculus is a collection of ideas that is not mastered
through calculator skills. Therefore, NO calculators are allowed on exams.
EXAMINATIONS:
There will be two 90-minute midterms during the semester and a comprehensive two-hour final exam
will be given at the end of the semester. All exams are proctored by HonorLock.

The proctoring software will use your computer's webcam or other technology to monitor and/or
record your activity during exams.  The proctoring software may be listening to you, monitoring your
computer screen, and viewing you and your surroundings.  By enrolling in this course, you consent to
the use of the proctoring software, including but not limited to any audio and/or visual monitoring
which may be recorded.
Exam Windows
When using HonorLock, you can take the exam anytime during the exam window.
Each exam follows the same protocols.
1. Exams are multiple choice, graded solely on a right/wrong scale.  Exams include both
computation and conceptual questions.
2. You will be given 90 minutes to complete the midterm exam, and 120 minutes to complete the final
exam.
STUDENT RESPONSIBILITIES
As a student enrolled in this course your responsibilities include the following:
Abide by Penn State’s policies on Academic Integrity.
Complete assignments on time and keep pace with the course.

Devote sufficient time and diligent effort to completing course work.
(The recommended investment is 10–12 hours a week, and more if you need to review algebra
concepts).
Contribute to the discussion forum, both by asking questions about concepts you struggle with
and by answering questions asked by others.
Participate in the recitation sessions and/or submit questions for recitation and view the recording.
Actively participate by seeking help and asking questions for clarifying concepts you do not fully
understand.
Use the quiz feedback and activity solutions to understand where you have the greatest difficulties
and follow up on resolving these.
COURSE MECHANICS:
Homework. The text will be primarily used to tie ideas to concepts and skills together. This will be
done through assigned readings and suggested problems. Some activities will stem directly from the
text.
Achieve Homework (graded) assignment will be done and evaluated online via Achieve. Access
code required for this online class.
Written Homework (graded) assignments will be done and evaluate via submitted work on Canvas.
Assessments. All quizzes and exams will be administered online via the CANVAS course
management system.
Weekly Canvas Quizzes will be done and evaluated online via Canvas.
The two midterm exams and the final comprehensive exam are proctored exams. The
HonorLock is the proctoring platform.
Live Session. ZOOM will be used for live sessions.
Discussion Forum. CANVAS will be the primary vehicle for discussions. The Canvas Discussions
tool should NOT be reserved for questions that are of a private nature, including specific questions
about problems on quizzes, tests, and exams prior to their due date.
Communication. The CANVAS EMAIL system should be used for direct communication with your
instructor. As per PSU policy, you should expect to wait for a reply to an email 24 - 48 hours.
CANVAS discussion Forum should be used for posting general questions (the type of which you
might ask in a live classroom).
NO LATE ASSIGNMENTS ARE ACCEPTED. NO EXTENSION GRANTED.

COURSE GRADES:
COURSE GRADES: Grades will be assigned on the basis of 700 points, distributed as follows:
Examination I
100
Examination II
100

Homework/Quizzes/Discussion
300
Final Examination
200
TOTAL
700

Your grade will be based EXCLUSIVELY on the midterm examinations, homework and/or quizzes and
final examination.
Final course grades will be assigned as follows:

Percent Score
 A
  93% - 100%
 A-
  90% - 92%
 B+
  87% - 89%
 B
  84% - 86%
 B-
  80% - 83%
 C+
  77% - 79%
 C
  70% - 76%
 D
  60% - 69%
 F
    0% - 59%

DEFERRED GRADES:
Students who are currently passing a course but are unable to complete the course due to illness or
emergency may be granted a deferred grade which will allow the student to complete the course
within ten weeks of the last day of classes. Note that deferred grades are limited to those students
who can verify and document a valid reason for not being able to take the final examination. For more
information see DF grade
 (http://handbook.psu.edu/content/deferred-grade) .
ACADEMIC INTEGRITY:
Academic integrity is the pursuit of scholarly activity in an open, honest and responsible manner.
Academic integrity is a basic guiding principle for all academic activity at The Pennsylvania State
University, and all members of the University community are expected to act in accordance with this
principle. Consistent with this expectation, the University’s Code of Conduct states that all students
should act with personal integrity, respect other students’ dignity, rights, and property, and help create
and maintain an environment in which all can succeed through the fruits of their efforts.
Academic integrity includes a commitment not to engage in or tolerate acts of falsification,

misrepresentation, or deception. Such acts of dishonesty violate the fundamental ethical principles of
the University community and compromise the worth of work completed by others.Academic
dishonesty includes, but is no limited to, cheating, plagiarizing, […], facilitating acts of academic
dishonesty by others, having unauthorized possession of examinations, submitting work of another
person or work previously used without informing the instructor, or tampering with academic work of
other students. […] A student charged with academic dishonesty will be given oral or written notice of
the charge by the instructor. If students believe that they have been falsely accused, they should seek
redress through informal discussions with the instructor, the department head, dean or campus
executive officer. If the instructor believes that the infraction is sufficiently serious to warrant the
referral of the case to Judicial Affairs, or if the instructor will award a final grade of F in the course
because of the infraction, the student and instructor will be afforded formal due process procedures.
Based upon the University’s Faculty Senate Policy 49–20
 (http://www.psu.edu/ufs/policies/47-
00.html#49-20) , a range of academic sanctions may be taken against a student who engages in
academic dishonesty. Please refer to the Eberly College of Science Academic Integrity Policy
page
 (http://science.psu.edu/current-students/Integrity/Policy.html) for additional information about
the process and procedures.
Academic Misconduct
In this course, academic misconduct includes, but is not limited to:
Copying the work of another student on an exam, quiz, or assignment;
Passing off the work of another individual as your own;
Using non-approved devices or aids on exams, quizzes, or assignments;
Having unauthorized possession of exams or quizzes;
Engaging in deception in order to extend or reschedule an exam, quiz, or assignment;
Facilitating acts of academic misconduct by others.

When Academic Misconduct is Suspected
If a student is suspected of academic misconduct, the instructor’s duties are to:
Confidentially inform the student of the allegation;
Enter the charge and recommended sanctions on an Eberly College of Science Academic Integrity
form;
Ask the student to meet in order to review the form and discuss the charges and sanctions. The
student can choose to accept or contest the allegation at this point.
Note that a student’s refusal to meet with the instructor or respond to the charges within a reasonable
period of time is construed as acceptance of the allegation and proposed sanctions.

Once the Academic Integrity form has been accepted or contested by the student, it is sent to the
College’s Academic Integrity Committee for adjudication. A student cannot drop or withdraw from the
course during the adjudication process.
Sanctions
If a student accepts an academic misconduct allegation, or if (s)he is found guilty during adjudication,
probable sanctions include:
A warning and
Reduction of the assignment grade to zero or
Reduction of the quiz or exam grade to zero.
Additional sanctions might include:
Reduction in the final course grade;
An F in the course.
In addition, the student will be unable to drop or withdraw from the course.
Please see the Eberly College of Science Academic Integrity homepage for additional information and
procedures.

According to Penn State policy G-9: Academic Integrity
 (https://undergrad.psu.edu/aappm/G-9-
academic-integrity.html) , an academic integrity violation is “an intentional, unintentional, or attempted
violation of course or assessment policies to gain an academic advantage or to advantage or
disadvantage another student academically.” Unless your instructor tells you otherwise, you must
complete all course work entirely on your own, using only sources that have been permitted by your
instructor, and you may not assist other students with papers, quizzes, exams, or other assessments. If
your instructor allows you to use ideas, images, or word phrases created by another person (e.g., from
Course Hero or Chegg) or by generative technology, such as ChatGPT, you must identify their source.
You may not submit false or fabricated information, use the same academic work for credit in multiple
courses, or share instructional content. Students with questions about academic integrity should ask
their instructor before submitting work.

Students facing allegations of academic misconduct may not drop/withdraw from the affected
course unless they are cleared of wrongdoing (see G-9: Academic Integrity
(https://undergrad.psu.edu/aappm/G-9-academic-integrity.html) ). Attempted drops will be prevented or
reversed, and students will be expected to complete course work and meet course deadlines. Students
who are found responsible for academic integrity violations face academic outcomes, which can be
severe, and put themselves at jeopardy for other outcomes which may include ineligibility for Dean’s List,

pass/fail elections, and grade forgiveness. Students may also face consequences from their home/major
program and/or The Schreyer Honors College.

STUDENTS WITH DISABILITIES: Penn State welcomes students with disabilities into the University's
educational programs. If you have a disability-related need for reasonable academic adjustments in this
course, contact Student
Disability Resources at 814-863-1807 (V/TTY). For further information, please visit Student Disability
Resources web site: http://equity.psu.edu/student-disability-resources/ .
In order to receive consideration for accommodations, you must contact SDR and provide
documentation (see the documentation guidelines at http://equity.psu.edu/student-disability-resources/).
If the documentation supports your request for reasonable accommodations, SDR will provide you with
an accommodation letter identifying appropriate academic adjustments. Please share this letter with your
instructors and discuss the accommodations with them as early in your courses as possible. You must
follow this process for every semester that you request accommodations.

CODE OF MUTUAL RESPECT AND COOPERATION: The Eberly College of Science Code of Mutual
Respect and Cooperation pertains to all members of the college community; faculty, staff, and students.
The Code of Mutual Respect and Cooperation was developed to embody the values that we hope our
faculty, staff, and students possess, consistent with the aspirational goals expressed in the Penn State
Principles. The University is strongly committed to freedom of expression, and consequently, the Code
does not constitute University or College policy and is not intended to interfere in any way with an
individual’s academic or personal freedoms. We hope, however, that individuals will voluntarily endorse
the 12 principles set forth in the Code, thereby helping us make the Eberly College of Science a place
where every individual feels respected and valued, as well as challenged and rewarded.

EDUCATIONAL EQUITY: The Office of the Vice Provost for Educational Equity serves as a catalyst and
advocate for Penn State's diversity and inclusion initiatives. Educational Equity's vision is a Penn State
community that is an inclusive and welcoming environment for all. If you wish to learn more or if you wish
to report bias, please visit the
Educational Equity website.

COUNSELING AND PSYCHOLOGICAL SERVICES: Many students at Penn State face personal
challenges or have psychological needs that may interfere with their academic progress, social
development, or emotional wellbeing. The university offers a variety of confidential services to help you
through difficult times, including individual and group counseling, crisis intervention, consultations, online
chats, and mental health screen- ings. These services are provided by staff who welcome all students
and embrace a philosophy respectful of clients’ cultural and religious backgrounds, and sensitive to
differences in race, ability, gender identity and sexual orientation.

CAPS CONTACT INFORMATION:
Counseling and Psychological Services at University Park (CAPS): 814-863-0395
http://studentaffairs.psu.edu/counseling/
Penn State Crisis Line (24 hours/7 days/week): 877-229-6400
Crisis Text Line (24 hours/7 days/week): Text LIONS to 741741

QUESTIONS, PROBLEMS, OR COMMENTS
If you have questions or concerns about the course, please consult your instructor first.
Kasha Przybyla
Email: kep11@psu.edu (mailto:kep11@psu.edu)

If further guidance is needed, you may contact the Director of Online Instruction, Department of
Mathematics:
Dr. Stan Smith
Telephone: 814–865–7528
Email: sss26@psu.edu
Please Include your Name, Student ID, Course and Section Number in any correspondence.

-------------------------------------------------------------------------------------------------------------

COURSE STRUCTURE
There are 16 weeks in the course, two midterm exams, and a final exam. There will be 12 Lessons
"instruction" weeks, encompassing approximately three/four sections from the textbook, two "midterm"
weeks, and time for the final exam. The 12 weeks will have the following components:

Suggested readings in the text.
Live sessions/recitations (recorded for later viewing).
Achieve Homework Problems.
Canvas Homework Problems.
Canvas Discussion
Canvas Weekly Concept Quiz.
COMPONENTS DETAILS (a typical "instruction" week):
Suggested Reading and Problems from the text.
A reading and suggested homework assignment will be made every week.
Live Sessions/Recitation.
Each week (Tuesdays and/or Wednesdays) there will be live sessions/recitations. These sessions
will be used to discuss the main concepts for the week. These sessions will also provide an
opportunity for you to get more in-depth feedback about particular problems, review more
extensive examples, and ask some questions. These sessions will be recorded for those who are
not able to attend. However, the content of the recitation will depend on your questions and/or the
points of difficulty in the week's lesson. If you are not able to attend the live lecture, you may still
submit questions via the discussion forum on Canvas.
Guided Study Groups - Live in the classroom.
There will be regular guided study group sessions with a Penn State Learning Center tutor to go
over specific problems.
Canvas Board - Discussion (graded)
The Canvas board will be used extensively in this course.  This is the place to post questions,
answer other students' questions to prepare you for the concept quizzes etc...
Achieve Homework Problems (graded)
You will be expected to complete a weekly skills-based Homework Set, consisting of
approximately 10 - 15 problems in Achieve. Working through the problems and questions will help
master the course concepts and prepare you for weekly quizzes and exams.
Canvas Written Homework Problems (graded)
You will be expected to complete weekly open-ended written homework assignments by scanning
and submitting your full work in the designated place on Canvas.  Working through the problems
and questions will help master the course concepts and prepare you for weekly quizzes and
exams. There will be 12 written homework assignments in the semester and the best ten
will count towards the final grade (the lowest two will be dropped).
Canvas Weekly Concept Quiz (graded).
Each week will have a problem and concept quiz. It will be available Monday and due the
following Monday. This quiz will typically consist of approximately 5 to 8 questions. You will have
two attempts on this quiz. There will be 12 quizzes in the semester and the best ten will

count towards the final grade (the lowest two will be dropped). You will want to make sure
you have read through the weekly lesson activity, completed the practice questions, completed
the homework questions, and participated on Discussion before accessing this quiz.

Your Final Grade will be based EXCLUSIVELY on the midterm examinations, homework and quizzes,
and final examination. No late work is accepted. There is no additional (to the existing one) "extra-credit"
work.

COURSE GRADES:
Grades will be assigned based on 700 points, distributed as follows:

Components
Points
Achieve Homework (total 100 pts)
100
Written Homework (total 100 pts)
100
Canvas Weekly Quizzes (total 80 pts)
80
Canvas Discussion
20
Practice Exams (5 pts each), 15pts extra credit
0
Midterm Exams (100 points each)
200
Final Exam (200 points)
200
 TOTAL
700


ENGL 15

ENGL 15

ENGL 15

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sunger@andrew.cmu.edu

June 28, 2010

August 6, 2010

lpowell@andrew.cmu.edu

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Instructor: Spencer Unger

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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!


wgunther@math.cmu.edu

May 16

June 24, 2010

Textbook:

Midterm:

Final Exam:

May 16

May 20

May 30

June 8

Midterm Exam

June 23

June 24

Final Exam

Midterm

Final

Exam

Instructor:
Will Gunther

Textbook

Assignments

assignments

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

weikang@andrew.cmu.edu

MWF 12

MM 103

ecanepa@andrew.cmu.edu

PH 226B

gpeim@andrew.cmu.edu

BH 136A

Exam 3, 30% Final Exam.

Textbook

Instructor: Weining Kang

Office hours

assignments

assignments

assignments

Grading

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.


Assignments

assignments

Grading

assignments

Grading

assignments

Grading

assignments

Grading

assignments

assignments

Grading

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.


Instructor: David A. Van Every

AssignmentS

AssignmentS

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).