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 realworld 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 of at least 3 credits 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.
Section 001.
Prerequisites & Distribution: A basic high school math and science background. No credit granted to those who have completed or are enrolled in ASTRO 111, 115, 130, or 160. (4). (NS). (BS). (QR/2).
Section 006.
Prerequisites & Distribution: A basic high school math and science background. No credit granted to those who have completed or are enrolled in ASTRO 111, 115, 130, or 160. (4). (NS). (BS). (QR/2).
Section 001.
Instructor(s): Rebecca A Bernstein
Prerequisites & Distribution: A basic high school math and science background. No credit granted to those who have completed or are enrolled in ASTRO 112, 130, or 160. (4). (NS). (BS). (QR/2).
Section 006.
Instructor(s): Rebecca A Bernstein
Prerequisites & Distribution: A basic high school math and science background. No credit granted to those who have completed or are enrolled in ASTRO 112, 130, or 160. (4). (NS). (BS). (QR/2).
Section 001.
Prerequisites & Distribution: A basic high school math and science background. No credit granted to those who have completed or are enrolled in ASTRO 101, 115, 130, or 160. (4). (NS). (BS). (QR/2).
Section 004.
Prerequisites & Distribution: A basic high school math and science background. No credit granted to those who have completed or are enrolled in ASTRO 101, 115, 130, or 160. (4). (NS). (BS). (QR/2).
Section 001.
Instructor(s): Rebecca A Bernstein
Prerequisites & Distribution: A basic high school math and science background. No credit granted to those who have completed or are enrolled in ASTRO 102, 130, or 160. (4). (NS). (BS). (QR/2).
Section 006.
Instructor(s): Rebecca A Bernstein
Prerequisites & Distribution: A basic high school math and science background. No credit granted to those who have completed or are enrolled in ASTRO 102, 130, or 160. (4). (NS). (BS). (QR/2).
Section 001.
Prerequisites & Distribution: No credit granted to those who have completed or are enrolled in ASTRO 101 or 111. (4). (Excl). (BS). (QR/2).
Section 001.
Prerequisites & Distribution: MATH 115, and prior or concurrent enrollment in PHYSICS 140 or 160. No credit granted to those who have completed or are enrolled in ASTRO 102, 112, or 130. (4). (NS). (BS). (QR/2).
Section 100, 300.
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).
Section 200.
Instructor(s): Jadwiga Sipowska (dotie@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).
Section 400.
Instructor(s): Jadwiga Sipowska (dotie@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).
Section 500.
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).
Section 600 – Honors
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).
Section 001.
Prerequisites & Distribution: COMM 111. (4). (SS). (QR/1).
Introductory Courses
Section 100.
Prerequisites & Distribution: High school algebra and geometry. No credit granted to those who have completed or are enrolled in ECON 400. (4). (SS). (QR/2).
Introductory Courses
Section 200.
Prerequisites & Distribution: High school algebra and geometry. No credit granted to those who have completed or are enrolled in ECON 400. (4). (SS). (QR/2).
Introductory Courses
Section 300.
Prerequisites & Distribution: High school algebra and geometry. No credit granted to those who have completed or are enrolled in ECON 400. (4). (SS). (QR/2).
Introductory Courses
Section 100.
Prerequisites & Distribution: ECON 101. No credit granted to those who have completed or are enrolled in ECON 400. (4). (SS). (QR/2).
Introductory Courses
Section 200.
Prerequisites & Distribution: ECON 101. No credit granted to those who have completed or are enrolled in ECON 400. (4). (SS). (QR/2).
Economic Theory and Statistics
Section 001.
Prerequisites & Distribution: ECON 101 and 102, and MATH 115. (4). (Excl). (QR/1).
Economic Theory and Statistics
Section 001.
Instructor(s): Eric Swanson
Prerequisites & Distribution: ECON 101 and 102, and MATH 115. (4). (Excl). (QR/1).
Economic Theory and Statistics
Section 100.
Instructor(s): ChulIn Lee
Prerequisites & Distribution: ECON 101 and 102 and MATH 115. No credit granted to those who have completed or are enrolled in ECON 405 or STATS 350, 265, 311, 350, 400, 405, or 412. (4). (Excl). (BS). (QR/1).
Economic Theory and Statistics
Section 200.
Instructor(s): ChulIn Lee
Prerequisites & Distribution: ECON 101 and 102 and MATH 115. No credit granted to those who have completed or are enrolled in ECON 405 or STATS 350, 265, 311, 350, 400, 405, or 412. (4). (Excl). (BS). (QR/1).
Economic Theory and Statistics
Section 001.
Instructor(s): Sarah Senesky
Prerequisites & Distribution: MATH 116. 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 IOE 265, STATS 265, 400, or 412. Students with credit for ECON 404 can only elect ECON 405 for 2 credits and must have permission of instructor. (4). (Excl). (BS). (QR/1).
Sections 002005 ONLY satisfy the upperlevel writing requirement.
Prerequisites & Distribution: (4). (NS). (BS). (QR/2).
Introductory Courses and Courses for Nonconcentrators
Section 001.
Prerequisites & Distribution: No credit granted to those who have completed or are enrolled in AOSS 203. (3). (NS). (BS). (QR/2).
Introductory Courses and Courses for Nonconcentrators
Instructor(s): Michela Arnaboldi
Prerequisites & Distribution: Concurrent enrollment in GEOSCI 222. (1). (NS). (BS). (QR/2).
Introductory Courses and Courses for Nonconcentrators
Sections 002005 ONLY satisfy the upperlevel writing requirement.
Prerequisites & Distribution: (4). (NS). (BS). (QR/2).
THERE WILL BE JOINT EVENING EXAMINATIONS FOR ALL SECTIONS OF MATH 105, 6:00  8:00 P.M. ALSO A JOINT FINAL.
Instructor(s):
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. A maximum of four credits may be earned in MATH 103, 105, and 110. (4). (MSA). (QR/1).
THERE WILL BE JOINT EVENING EXAMINATIONS FOR ALL SECTIONS OF MATH 115, 6:008:00 PM. ALSO A JOINT FINAL.
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).
THERE WILL BE JOINT EVENING EXAMINATIONS FOR ALL SECTIONS OF MATH 116, 6:008:00 PM. ALSO A JOINT FINAL.
Instructor(s):
Prerequisites & Distribution: MATH 115. Credit is granted for only one course from among MATH 116, 156, 176, 186, and 296. (4). (MSA). (BS). (QR/1).
Section 001.
Instructor(s): Hugh L Montgomery
Prerequisites & Distribution: High school mathematics through at least Analytic Geometry. Only firstyear students, including those with sophomore standing, may preregister for FirstYear 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).
FirstYear Seminar
THERE WILL BE JOINT EVENING EXAMINATIONS FOR ALL SECTIONS OF MATH 156, 6:00  8:00 P.M. ALSO A JOINT FINAL.
Instructor(s):
Prerequisites & Distribution: Score of 4 or 5 on the AB or BC Advanced Placement calculus exam. Credit is granted for only one course among MATH 116, 156, 176, 186, and 296. (4). (MSA). (BS). (QR/1).
Section 001.
Prerequisites & Distribution: Permission of Honors advisor. No credit granted to those who have completed a 200level or higher Mathematics course. (4). (MSA). (BS). (QR/1).
Instructor(s):
Prerequisites & Distribution: Permission of the Honors advisor. Credit is granted for only one course from among MATH 115, 185, and 295. No credit granted to those who have completed MATH 175. (4). (MSA). (BS). (QR/1).
UNIFORM EVENING EXAMS FOR MATH 215; ALSO A UNIFORM FINAL.
Instructor(s):
Prerequisites & Distribution: MATH 116, 119, 156, 176, 186, or 296. Credit can be earned for only one of MATH 215, 255, or 285. (4). (MSA). (BS). (QR/1).
Instructor(s):
Prerequisites & Distribution: MATH 215, 255, or 285. Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513. (4). (MSA). (BS). (QR/1).
Section 001.
Instructor(s): Mario Bonk
Prerequisites & Distribution: Prior knowledge of first year calculus and permission of the Honors advisor. Credit is granted for only one course from among MATH 115, 185, and 295. (4). (MSA). (BS). (QR/1).
Section 001.
Prerequisites & Distribution: PHIL 303. (3). (Excl). (BS). (QR/1).
Section 001.
Prerequisites & Distribution: High school algebra and geometry. (3). (NS). (BS). (QR/1).
Section 001.
Prerequisites & Distribution: High school algebra and trigonometry. Only firstyear students, including those with sophomore standing, may preregister for FirstYear Seminars. All others need permission of instructor. (3). (NS). (BS). (QR/2).
Firstyear seminar
Section 001, 002.
Prerequisites & Distribution: Two and onehalf years of high school mathematics, including trigonometry. PHYSICS 125 and 127 are normally elected concurrently. No credit granted to those who have completed or are enrolled in PHYSICS 140, 145, or 160. (4). (NS). (BS). (QR/1).
Section 001.
Prerequisites & Distribution: PHYSICS 125. PHYSICS 126 and 128 are normally elected concurrently. No credit granted to those who have completed or are enrolled in PHYSICS 240 or 260. (4). (NS). (BS). (QR/1).
Section 001, 002, 003.
Prerequisites & Distribution: MATH 115. PHYSICS 140 and 141 are normally elected concurrently. No credit granted to those who have completed or are enrolled in PHYSICS 125, 145, or 160. (4). (NS). (BS). (QR/1).
Section 035, 036 – KELLER PLAN, SELFPACED, INDIVIDUAL INSTRUCTION.
Prerequisites & Distribution: MATH 115. PHYSICS 140 and 141 are normally elected concurrently. No credit granted to those who have completed or are enrolled in PHYSICS 125, 145, or 160. (4). (NS). (BS). (QR/1).
Section 001 – PHYS 160 IS DESIGNED FOR HONORS, PHYS MAJORS & QUALIFIED SCIENCE OR ENGIN MAJORS. STUDENTS NEED TO KNOW CALCULUS PLUS A BACKGROUND IN HIGH SCHOOL PHYS. STUDENTS SHOULD ELECT ONE SECT OF PHYS 141.
Prerequisites & Distribution: MATH 115. Students should elect PHYSICS 141 concurrently. No credit granted to those who have completed or are enrolled in PHYSICS 125, 140, or 145. (4). (NS). (BS). (QR/1).
Section 001, 002, 003.
Prerequisites & Distribution: PHYSICS 140, 145 or 160; and MATH 116. PHYSICS 240 and 241 are normally elected concurrently. No credit granted to those who have completed or are enrolled in PHYSICS 126 or 260. (4). (NS). (BS). (QR/1).
Section 001.
Prerequisites & Distribution: PHYSICS 140, 145, or 160; and MATH 116. Students should elect PHYSICS 241 concurrently. No credit granted to those who have completed or are enrolled in PHYSICS 240. (4). (NS). (BS). (QR/1).
Section 001.
Prerequisites & Distribution: PHYSICS 126/128 or 240 (or 260)/241, and MATH 216. (3). (Excl). (BS). (QR/1).
Section 001.
Prerequisites & Distribution: (4). (SS). (QR/2).
Section 001.
Instructor(s): Xiaogang Wu
Prerequisites & Distribution: Sociology Honors students should elect this course prior to beginning the Honors Seminar sequence. Sociology concentrators should elect this course during their third year. No credit granted to those who have completed or are enrolled in STATS 100, 350, 265, 311, 350, 405, or 412, or ECON 404 or 405. (4). (MSA). (BS). (QR/1).
Section 001.
Prerequisites & Distribution: (4). (SS). (QR/2).
Section 001.
Prerequisites & Distribution: Restricted to first and secondyear students. (4). (SS). (QR/2).
Section 001.
Instructor(s): Solange D Simoes
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 concentrators are strongly encouraged to elect this course in the Junior year. Sociology Honors students should elect this course concurrently with SOC 397. (4). (Excl). (BS). (QR/1).
Instructor(s):
Prerequisites & Distribution: No credit granted to those who have completed or are enrolled in SOC 210, STATS 265, 350, 400, 405, or 412, IOE 265, or ECON 404 or 405. (4). (MSA). (BS). (QR/1).
Instructor(s):
Prerequisites & Distribution: No credit granted to those who have completed or are enrolled in ECON 404 or 405, or IOE 265 or STATS 265, 400, 405, or 412. (4). (NS). (BS). (QR/1).
Section 001.
Instructor(s):
Prerequisites & Distribution: High School Algebra. No credit granted to those who have completed or are enrolled in ECON 404 or 405, or STATS 250, 265, 350, 405, or 412. (4). (Excl). (BS). (QR/1).
Section 001.
Instructor(s):
Prerequisites & Distribution: MATH 116. 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 IOE 265, STATS 265, 400 or 412. Students with credit for ECON 404 can only elect STATS 405 for 2 credits and must have permission of instructor. (4). (Excl). (BS). (QR/1).
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