MATH 220: Calculus and Analytic Geometry 1
About the course. This is the first in a sequence of three calculus courses for science and engineering students. The goal is to prepare you to make use of calculus as a practical problem-solving tool.
Course webpage. All the information about the course, including homework assignments can be
found on:
http://www.pitt.edu/∼krk56/math-220-summer-2011/.
Instructor. Chris Kapulkin (krk56@pitt.edu), office hours: Tu 3–5pm, Th, Fr 3–4pm.
Teaching assistant. Attou Miloua (atm33@pitt.edu), office hours: Tu 11am–12pm, We 12–1pm,
Th, Fr 10-11am.
Text. James Stewart, Essential Calculus: Early Transcedentals.
Meetings. Lectures: Mo 8–10.15 (ALLEN 105), Tu, Th, Fr 9–10.15 (PUBHL A216).
Recitations: Tu, Th, Fr 8–8.50 (THACK 524).
Labs: We 8–10.15 (GSSC 126).
Exam dates. Mid-term: May 31st, 2011 (Tuesday), 8–8.50 (THACK 524).
Final: June 16th, 2011 (Thursday), 9–10.15 (PUBHL A216).
Grades. Your grade will be determined as follows:
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homework 10%
quizes 10%
LON CAPA assignments 15%
mid-term exam 25%
final exam 40%
Your final grade should not exceed your final exam grade by more than one letter grade.
Labs. One session each week will meet in the Calculus/Engineering Computer Lab in the Gardner
Steel Conference Center (GSCC 126). In the lab, you will be working individually on problem
solving skills, using computer generated problems. Your TA, Attou Miloua, will be available to
help if you get stuck but you are expected to solve all problems yourself.
You will be able to work on your lab problems from any computer with an Internet connection and
a web browser, but you should do the most of the work in your scheduled lab sessions.
As a University of Pittsburgh student, you should already have a Pitt computer account. You will
need to know your username and password to access the computer resources in the lab.
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Homework and quizzes. After every lecture, you will be assigned a list of problems from the
textbook. You should hand in your solutions for grading.
Homework assinged on Monday and Tuesday is due in Friday’s recitation. Homework assigned on
Thursday and Friday is due in Tuesday’s recitation.
Twice a week, in the last 15 minutes of Tuesday’s and Friday’s recitation, you will have a quiz.
Quiz problems will be modeled on the homework problems.
Getting help. Walk in tutoring will be available in the Calculus/Engineering Computer Lab and
in the Math Assistance Center (MAC) located in the room 215 in the O’Hara Student Center.
Disability Resource Center. If you have a disability for which you are or may be requesting an
accommodation, you are encouraged to contact both your instructor and the Office of Disability
Resources and Services, 216 William Pitt Union (412) 624-7890 as early as possible in the term.
Academic Integrity. Cheating/plagiarism will not be tolerated. Students suspected of violating
the University of Pittsburgh Policy on Academic Integrity will incur a minimum sanction of a zero
score for the quiz, exam or paper in question. Additional sanctions may be imposed, depending on
the severity of the infraction.
On the homework, you may work with the other students or use library resources, but each student
must write up his or her solutions independently. Copying solutions from other students will be
considered cheating, and handled accordingly.
Approximate day-by-day schedule
Week 1.
May 9th. Introduction to functions (1.1), catalog of essential functions (1.2)
May 10th. Limits (1.3)
May 12th. Calculating limits (1.4), limits involving infinity (1.6)
May 13th. Continuity (1.5)
Week 2.
May 16th. Introduction to derivatives (2.1–3)
May 17th. Product, quotient, and chain rules
(2.4–5)
May 19th. Implicit differentiation (2.6)
May 20th. Related rates and linear approximation (2.7–8)
Week 3.
May 23rd. Introduction to exponential and logarithmic functions (3.1–4)
May 24th. Inverse trigonometric functions (3.5)
May 26th. Hyperbolic functions (3.6)
May 27th. l’Hôspital’s rule (3.7)
Week 4.
May 30th. Graph sketching (4.1 and 4.3–4)
May 31st. The Mean Value Theorem (4.2)
June 2nd. Optimization (4.5)
June 3rd. Newton’s method (4.6)
Week 5.
June 6th. Introduction to integrals (4.7–5.2)
June 7th. Evaluating definite integrals (5.3)
June 9th. Fundamental Theorem of Calculus
(5.4)
June 10th. Integration by substitution (5.5)
Week 6.
June 13th. Integration by parts (6.1), trigonometric integrals and substitution (6.2)
June 14th. Review.
June 16th. Final exam!