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Syllabus for 21120-1 Differential and Integral Calculus
Spring 2021
Instructor: Jiawei Li (jiaweil4@andrew.cmu.edu)
Office: 8214 Wean Hall
Time and location of lectures: 12:50-13:40, Mondays, Wednesdays and Fridays, online via
Zoommeetings:
Zoommeetinglink:
https://cmu.zoom.us/j/94525069393?pwd=R1BBT1FMbTcyNWxZbWlVWm9qb0ZUZz0
Meeting ID: 945 2506 9393
Meeting passcode (is first 6 digits of π): 314159
Linktolecture recordings:
https://drive.google.com/drive/folders/14tv2H6HyBS1dbkO45LQKA4kI4Cdty3UL?usp=sharin
Officehours: 15:00-16:00, Wednesdays and Thursdays, online via Zoom meetings:
Zoommeetinglink:
https://cmu.zoom.us/j/93374884343?pwd=RXpIQ2dqYlhGVDNPb3hhWDhsV0hDUT09
Meeting ID: 933 7488 4343
Meeting passcode (is first 6 digits of π): 314159
Textbook: Calculus, Early Transcendentals (8th edition) by James Stewart.
Teaching Assistants: Proteeti Sinha (proteets)* and Sanjana Jobalia (sjobalia).
Information about TAs’ sessions will be announced on Canvas and updated on this syllabus
later.
Online materials: All class announcements, homework, grades and other materials will be pos-
ted on Canvas.
Course synopsis: This course will roughly cover selected material from the first seven chapters
of Calculus, Early Transcendentals (8th edition) by James Stewart, including the following topics:
• Definition and properties of basic functions such as polynomials, exponential and logar-
ithmic functions, trigonometric and hyperbolic functions.
• Limits and derivatives. Calculation of limits. Continuity.
• Findingderivativesofbasicfunctionsandotherfunctionsusingdifferentiationrules. Implicit
differentiation. Linear approximations.
• TheMeanValueTheorem,L’Hôpital’s Rule. Curve sketching. Antiderivatives.
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• Definite integrals. The Fundamental Theorem of Calculus. Indefinite integrals and change
of variables.
• Integration by parts.
Expected outcomes: Students will
• have a good understanding of limits, continuity and differentiation, integration;
• be able to find derivatives and Riemann integrals of functions and sketch the function using
the methods learnt;
• understand important theorems and apply them.
Teaching Assistants and Recitation meetings: Students are strongly recommended to attend
all recitation meetings. The information of two teaching assistants are provided as follows:
• Section A:
Recitation meeting time and location: 12:50-13:40
TA’s name: Proteeti Sinha (proteets@andrew.cmu.edu)
• Section B:
Recitation meeting time and location: 12:50-13:40
TA’s name: Sanjana Jobalia (sjobalia@andrew.cmu.edu)
Students are strongly suggested to attend all recitation meetings.
Homework: All homework problem sheets will be posted online via canvas. Homework is
due every fortnight, and should be submitted using Gradescope every Friday by midnight (Fri-
day 23:59). It is your own responsibility to make sure that you hand in your homework on time.
Discussion on homework is permitted, but students are encouraged to work independently. All
homeworkproblemsshouldnotbecoveredintherecitationmeetingbeforesubmission. Nohome-
workgradewill be dropped.
There are 7 assignments in total, and you can get a 48 hours extension on one of the first 6
assignments if needed. You should contact me at least 24 hours ahead of the deadline to receive
the extension.
Homework submissions will be graded randomly by two teaching assistants: they will ran-
domly pick up submissions to grade. The probability of your submission being chosen by one of
themis 50%, so it will be absolutely fair.
TogototheGradescope,youmayloginthroughGradescopewebpagedirectly,oryoucanuse
the navigation bar on the left of the Canvas page.
Duedates of homework:
Sheet 1: February 12 Sheet 2: February 26 Sheet 3: March 12
Sheet 4: March 26 Sheet 5: April 9 Sheet 6: April 23
Sheet 7: May 7
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Please note that May 7 is the last day of semester, so I will publish the solution to this assign-
mentrightafter the deadline of this assignment, and this is the reason why extension is not allowed
for this assignment.
Apart from these homework sheets, students are highly recommended to try out exercises from
the textbook. Solutions to homework problems will be uploaded and published on Canvas.
Quizzes: There will be two quizzes, and these will be taken place in the recitation meetings on
the following dates:
Quiz 1: February 18 Quiz 2: April 1
Eachquizwillbe50minutes. Make-upquizzesareonlyallowedforstudentswithaccommod-
ation letters from the Office of Disability. Absence from the quiz will be counted as a zero. No
quiz grades will be dropped.
Recitationmeetingsonthesequizdayswillbecancelled. Quizzeswillbetimed-examsonline,
viaGradescope. Theexamwindowwillopenfor24hourstoaccommodatestudentsindistant
time zones. Once you enter the exam on Gradescope, you will have 60 mins to solve all
problems and upload your solutions. You may launch this exam any time you want within
these 24 hours. Solutions should be uploaded to Gradescope for grading. Blurry pictures and
unreadable solutions will be counted as zeros.
Midterm exams and final exam: There will be two take-home midterm examinations and one
cumulative final examination. Midterms will be on the following dates:
Midterm 1: March 10 Midterm 2: April 21
Lectures on these midterm days will be cancelled. Midterms will be timed-exams online, via
Gradescope. The exam window will open for 24 hours to accommodate students in distant
time zones. Once you enter the exam on Gradescope, you will have 90 mins to solve all
problems and upload your solutions. You may launch this exam any time you want within
these 24 hours. Solutions should be uploaded to Gradescope for grading. Blurry pictures and
unreadable solutions will be counted as zeros.
ThefinalexamwillbescheduledbytheUniversity Registrar Office. I will update this inform-
ation later in class and on canvas. Make-up exams are only allowed for students with accommod-
ation letters from the Office of Disability. Absence from any exam will be counted as a zero. No
examgradewill be dropped.
Solutions to midterm problems will be uploaded and published to Canvas.
GradingPolicies: Thegradewill be determined using the following scheme:
Homework: 30% Quizzes: 15% (7.5% each) Midterms: 30% (15% each) Final exam:
25%
Thegradeboundaries are:
A≥90%, 90% > B ≥ 80%, 80% > C ≥ 70%, 70% > D ≥ 60%, R<
60%.
Useofelectronicdevices: Students are allowed to use electronic devices during lectures, but not
during any quiz or exam. Calculators are NOT permitted in any quiz, midterm exam or final exam.
I recommend students to complete all computation without the use of calculator for homework.
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Academic integrity: Collaboration and cheating are not allowed in homework, quizzes, or ex-
ams. Students at Carnegie Mellon are expected to produce their own original academic work. For
academicintegritypolicy,seehttps://www.cmu.edu/policies/student-and-student-life/academic-integrity.html.
Accommodations for students with disabilities: If you have a disability and require accom-
modations, please contact Catherine Getchell, Director of Disability Resources, 412-268-6121,
getchell@cmu.edu. If you have an accommodations letter from the Disability Resources office,
I encourage you to discuss your accommodations and needs with me as early in the semester as
possible. I will work with you to ensure that accommodations are provided as appropriate.
Someextrabutimportantinfo:
1. You should check the course Canvas page regularly, at least check the page every week.
2. IwillorganizetheCanvaspagebylistingthecourseco15:00-16:00,WednesdaysandThursdays,
online via Zoom meetings:
Zoommeetinglink:
https://cmu.zoom.us/j/93374884343?pwd=RXpIQ2dqYlhGVDNPb3hhWDhsV0hDUT09
Meeting ID: 933 7488 4343
Meeting passcode (is first 6 digits of π): 314159
1. ntent week by week. I will put all content you need to learn in one week in one module, in-
cludingnotesfromlectures,homeworkproblemsheetsandsolutiontohomework/quiz/exam.
2. All lectures will be recorded. To accommodate students in other time zones, I will upload
the recordings to a Google drive folder (find the link at the beginning of this file). Please DO
NOTsharethelinktothis folder with other people.
3. Whatyoushouldwriteinyoursolutioninquizzes/exams: Ithinkthisshouldbeclearenough
as I publish sample solutions and I do examples in class. If some mistake is not acceptable
in quizzes/exams, I will mention in class/on Canvas in advance that something is definitely
wrong, or I will give you zero if you write this.
4. Please respect and be nice to our teaching assistants. Please attend the recitation meetings.
5. Rigorousness is quite important when you do maths.
6. I will report any behaviour of academic violation to the university Academic Integrity Com-
mittee.
PLEASENOTICETHATTHISSYLLABUSMAYBEREVISEDTHROUGHOUTTHISSEMESTER,
ANDIWILLPOSTTHEUPDATEDVERSIONONCANVAS.
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