All students admitted to the College for the Fall Term of 1994 and thereafter must meet the Quantitative Reasoning (QR) requirement. The goal of this requirement is to ensure that every graduate of the College achieves a certain level of proficiency in using and analyzing quantitative information. Students may fulfill this requirement either by:

- successfully completing one course (of 3 credits or more) designated for full QR credit (QR/1); or
- successfully completing two courses (at least one of which must be of 3 credits or more) designated for half QR credit (QR/2).

QR courses may come from a wide range of disciplines representing the natural and social sciences, as well as some areas of the humanities.

Quantitative reasoning is first and foremost reasoning. It is not mathematical manipulation or computation, but rather the methodology used to analyze quantitative information to make decisions, judgments, and predictions. It involves defining a problem by means of numerical or geometrical representations of real-world phenomena, determining how to solve it, deducing consequences, formulating alternatives, and predicting outcomes.

Advanced Placement (AP) courses may not be used to satisfy the Quantitative
Reasoning requirement. Courses transferred from another college or university
do not generally carry QR credit, except in the following circumstances:
(1) QR is considered fulfilled for all science, math, and computer science
concentrators who transfer in the prerequisites; (2) Transfer credit for
Physics 125, 126, 140, 240 and any statistics course receive (QR/1) credit.
Courses used to satisfy the QR requirement may also serve to satisfy other
College requirements; *e.g., *students who are working towards an
A.B. or B.S. degree may elect a QR course that also counts toward meeting
the Area Distribution, Concentration, or other College requirement.

This list is subject to change without notice by the College of LS&A Curriculum Committee.

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in 111, 130, or 160. (4). (NS).
(BS). (QR/2).

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in 112, 130, or 160. (4). (NS).
(BS). (QR/2).

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in 101, 130, or 160. (4). (NS).
(BS). (QR/2).

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in 102, 130, or 160. (4). (NS).
(BS). (QR/2).

**Prerequisites & Distribution:** Math. 115, and prior
or concurrent enrollment in Phys. 140. No credit granted to those who have
completed or are enrolled in 102, 112, or 130. (4). (NS). (BS). (QR/2).

**Prerequisites & Distribution:** Advanced undergraduate
or graduate standing, with background in physics, chemistry, biology, or
water-related sciences. (3). (Excl). (BS). (QR/1).

**Prerequisites & Distribution:** Concurrent enrollment
in Biol. 483. (3). (Excl). (BS). (QR/1). Satisfies a Biology laboratory
requirement. Laboratory fee ($70) required.

Instructor(s): Gugelchuk

**Prerequisites & Distribution:** Three years of high
school math or Math. 105; one year of high school chemistry recommended.
Placement by testing, or permission of Chemistry department. Intended for
students without AP credit in chemistry. (3). (NS). (BS). (QR/2).

Instructor(s): David Curtis (mdcurtis@umich.edu)

**Prerequisites & Distribution:** Three years of high
school math or Math. 105; one year of high school chemistry recommended.
Placement by testing, or permission of Chemistry department. Intended for
students without AP credit in chemistry. (3). (NS). (BS). (QR/2).

Instructor(s): R. L. Kuczkowski (kuczkows@umich.edu)

**Prerequisites & Distribution:** Three years of high
school math or Math. 105; one year of high school chemistry recommended.
Placement by testing, or permission of Chemistry department. Intended for
students without AP credit in chemistry. (3). (NS). (BS). (QR/2).

**Prerequisites & Distribution:** Comm. Studies 111.
(4). (SS). (QR/1).

**Prerequisites & Distribution:** Comm. Studies 211.
(3). (SS). (QR/1).

Instructor(s): Janet Gerson

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in 400. (4). (SS). (QR/2).

Instructor(s): Tom Bogart

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in 400. (4). (SS). (QR/2).

Instructor(s): Paula Malone

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in 400. (4). (SS). (QR/2).

Instructor(s):

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in 400. (4). (SS). (QR/2).

Instructor(s): Saul Hymans

**Prerequisites & Distribution:** Econ. 101. No credit
granted to those who have completed or are enrolled in Econ. 400. (4). (SS).
(QR/2).

Instructor(s): Alan Deardorff (alandear@umich.edu)

**Prerequisites & Distribution:** Econ. 101. No credit
granted to those who have completed or are enrolled in Econ. 400. (4). (SS).
(QR/2).

**Prerequisites & Distribution:** (4). (SS). (QR/1).

**Prerequisites & Distribution:** Econ. 101 and 102,
and Math. 115. (4). (SS). (QR/1).

**Prerequisites & Distribution:** Econ. 101 and 102,
and Math. 115. (3). (SS). (QR/1).

**Prerequisites & Distribution:** Econ. 101 and 102
and Math. 115. No credit granted to those who have completed or are enrolled
in Econ. 405 or Stat. 265, 311, 402, 405, or 412. (4). (Excl). (BS). (QR/1).

**Prerequisites & Distribution:** Math. 116 or 118.
Juniors and seniors may elect this course concurrently with Econ. 101 or
102. No credit granted to those who have completed or are enrolled in Stat.
265, 311, or 412. Students with credit for Econ. 404 can only elect Econ.
405 for 2 credits and must have permission of instructor. (4). (MSA). (BS).
(QR/1).

Instructor(s): Theodore Moore (tedmoore@umich.edu)

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in AOSS 203. (3). (NS). (BS).
(QR/2).

**Prerequisites & Distribution:** Concurrent enrollment
in GS 222. (1). (NS). (BS). (QR/2).

Instructor(s): Fred Bookstein (flb@umich.edu)

**Prerequisites & Distribution:** Open to Honors students.
(3). (NS).

**Prerequisites & Distribution:** Students with credit
for Math. 103 can elect Math. 105 for only 2 credits. No credit granted
to those who have completed any Mathematics course numbered 110 or higher.
(4). (MSA). (QR/1).

Instructor(s):

**Prerequisites & Distribution:** Four years of high
school mathematics. See Elementary Courses above. Credit usually is granted
for only one course from among Math. 112, 115, 185, and 295. No credit granted
to those who have completed Math. 175. (4). (MSA). (BS). (QR/1).

Instructor(s):

**Prerequisites & Distribution:** Four years of high
school mathematics. See Elementary Courses above. Credit usually is granted
for only one course from among Math. 112, 115, 185, and 295. No credit granted
to those who have completed Math. 175. (4). (MSA). (BS). (QR/1).

Instructor(s):

**Prerequisites & Distribution:** Four years of high
school mathematics. See Elementary Courses above. Credit usually is granted
for only one course from among Math. 112, 115, 185, and 295. No credit granted
to those who have completed Math. 175. (4). (MSA). (BS). (QR/1).

**Prerequisites & Distribution:** Math. 115. Credit
is granted for only one course from among Math. 116, 119, 156, 176, 186,
and 296. (4). (MSA). (BS). (QR/1).

**Prerequisites & Distribution:** Three years of high
school mathematics including a geometry course. Only first-year students,
including those with sophomore standing, may pre-register for First-Year
Seminars. All others need permission of instructor. No credit granted to
those who have completed a 200- (or higher) level mathematics course. (4).
(MSA). (BS). (QR/1).

**Prerequisites & Distribution:** Credit is granted
for only one course from among Math. 116, 119, 156, 176, 186, and 296. (4).
(MSA). (BS). (QR/1).

**Prerequisites & Distribution:** Permission of the
Honors advisor. Credit is granted for only one course from among Math. 114,
116, 119, 156, 176, 186, and 296. (4). (MSA). (BS). (QR/1).

**Prerequisites & Distribution:** Math. 116, 119, 156,
176, 186, or 296. (4). (MSA). (BS). (QR/1).

**Prerequisites & Distribution:** Math. 215, 255, or
285. No credit granted to those who have completed or are enrolled in Math.
417, 419, or 513. (4). (MSA). (BS). (QR/1).

**Prerequisites & Distribution:** Prior knowledge of
first year calculus and permission of the Honors advisor. Credit is granted
for only one course from among Math. 116, 119, 156, 176, 186, and 296. (4).
(Excl). (BS). (QR/1).

Instructor(s): Timothy McKay (tamckay@umich.edu)

**Prerequisites & Distribution:** Two and one-half years
of high school mathematics, including trigonometry. Phys. 125 and 127 are
normally elected concurrently. No credit granted to those who have completed
or are enrolled in 140, 145, or 160. (4). (NS). (BS). (QR/1).

Instructor(s): Myron Campbell (myron@umich.edu)

**Prerequisites & Distribution:** Phys. 125. Phys. 126
and 128 are normally elected concurrently. No credit granted to those who
have completed or are enrolled in 240 or 260. (4). (NS). (BS). (QR/1).

Instructor(s): Myers

**Prerequisites & Distribution:** Math. 115. Phys. 140
and 141 are normally elected concurrently. No credit granted to those who
have completed or are enrolled in Phys. 125, 145, or 160. (4). (NS). (BS).
(QR/1).

Instructor(s):

**Prerequisites & Distribution:** Math. 115. Phys. 140
and 141 are normally elected concurrently. No credit granted to those who
have completed or are enrolled in Phys. 125, 145, or 160. (4). (NS). (BS).
(QR/1).

**Prerequisites & Distribution:** Math. 115. Students
should elect Phys. 141 concurrently. No credit granted to those who have
completed or are enrolled in Phys. 125, 140, or 145. (4). (NS). (BS). (QR/1).

Instructor(s): Steve Dierker (dieker@umich.edu)

**Prerequisites & Distribution:** Phys. 140, 145 or
160; and Math. 116. Phys. 240 and 241 are normally elected concurrently.
No credit granted to those who have completed or are enrolled in 126 or
260. (4). (NS). (BS). (QR/1).

Instructor(s):

**Prerequisites & Distribution:** Phys. 140, 145 or
160; and Math. 116. Phys. 240 and 241 are normally elected concurrently.
No credit granted to those who have completed or are enrolled in 126 or
260. (4). (NS). (BS). (QR/1).

**Prerequisites & Distribution:** Phys. 140, 145, or
160; and Math. 116. Students should elect Phys. 241 concurrently. No credit
granted to those who have completed or are enrolled in Phys. 240. (4). (NS).
(BS). (QR/1).

Instructor(s): Daniel Axelrod (daxelrod@umich.edu)

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in Physics 489. (3). (NS). (BS).
(QR/1).

**Prerequisites & Distribution:** Phys. 126/128 or 240/241,
and Math. 216. (3). (Excl). (BS). (QR/1).

Instructor(s): Daniel Axelrod (daxelrod@umich.edu)

**Prerequisites & Distribution:** Permission of instructor.
No credit granted to those who have completed or are enrolled in Physics
288. (3). (Excl). (BS). (QR/1). May not be included in a concentration plan
in physics.

**Prerequisites & Distribution:** High school algebra.
(4). (MSA). (QR/2).

**Prerequisites & Distribution:** Sociology Honors students
should elect this course prior to beginning the Honors Seminar sequence.
Sociology concentrators should elect this course prior to their last term.
No credit granted to those who have completed or are enrolled in Stat. 100,
265, 311, 402, 405, or 412, or Econ. 404 or 405. (4). (MSA). (BS). (QR/1).

**Prerequisites & Distribution:** One introductory course
in sociology; or completion of one social science course in economics, anthropology,
political science, psychology or other sociology course. Sociology Honors
students should elect this course concurrently with Soc. 397. (4). (Excl).
(BS). (QR/1).

Instructor(s): Dass

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in Soc. 210, Stat. 265, 311,
402, 405, or 412, or Econ. 404 or 405. (4). (MSA). (BS). (QR/1).

Instructor(s): Martha Aliaga (aliaga@umich.edu)

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in Soc. 210, Stat. 265, 311,
402, 405, or 412, or Econ. 404 or 405. (4). (MSA). (BS). (QR/1).

Instructor(s): Brenda Gunderson (bkg@umich.edu)

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in Soc. 210, Stat. 265, 311,
402, 405, or 412, or Econ. 404 or 405. (4). (MSA). (BS). (QR/1).

Instructor(s): Ed Rothman (erothman@umich.edu)

**Prerequisites & Distribution:** (4). (MSA). (BS).
(QR/1).

Instructor(s): P. Jeganathan (jegan@umich.edu)

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in Econ. 404 or 405, or Stat.
265, 311, 405, or 412. (4). (NS). (BS). (QR/1).

Instructor(s): Brenda Gunderson (bkg@umich.edu)

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in Econ. 404 or 405, or Stat.
265, 311, 405, or 412. (4). (NS). (BS). (QR/1).

Instructor(s): Michailidis

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in Econ. 404 or 405, or Stat.
265, 311, 405, or 412. (4). (NS). (BS). (QR/1).

Instructor(s): Robb Muirhead (robb@umich.edu)

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in Econ. 404 or 405, or Stat.
265, 311, 405, or 412. (4). (NS). (BS). (QR/1).

Instructor(s): Choudhuri

**Prerequisites & Distribution:** No credit granted
to those who have completed or are enrolled in Econ. 404 or 405, or Stat.
265, 311, 405, or 412. (4). (NS). (BS). (QR/1).

**Prerequisites & Distribution:** Math. 116 or 118.
Juniors and seniors may elect this course concurrently with Econ. 101 or
102. No credit granted to those who have completed or are enrolled in Stat.
265, 311 or 412. Students with credit for Econ. 404 can only elect Stat.
405 for 2 credits and must have permission of instructor. (4). (MSA). (BS).
(QR/1).

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