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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 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.
Prerequisites & Distribution: A basic high school math and science background. (4). (NS). (BS). (QR/2). May not be repeated for credit. No credit granted to those who have completed or are enrolled in ASTRO 111, 115, 130, or 160.

Prerequisites & Distribution: A basic high school math and science background. (4). (NS). (BS). (QR/2). May not be repeated for credit. No credit granted to those who have completed or are enrolled in ASTRO 112, 130, or 160.

Prerequisites & Distribution: A basic high school math and science background. (4). (NS). (BS). (QR/2). May not be repeated for credit. No credit granted to those who have completed or are enrolled in ASTRO 101, 115, 130, or 160.

Prerequisites & Distribution: A basic high school math and science background. (4). (NS). (BS). (QR/2). May not be repeated for credit. No credit granted to those who have completed or are enrolled in ASTRO 102, 130, or 160.

Section 001.
Prerequisites & Distribution: (4). (Excl). (BS). (QR/2). May not be repeated for credit. No credit granted to those who have completed or are enrolled in ASTRO 101 or 111.

Prerequisites & Distribution: MATH 115, and prior or concurrent enrollment in PHYSICS 140 or 160. (4). (NS). (BS). (QR/2). May not be repeated for credit. No credit granted to those who have completed or are enrolled in ASTRO 102, 112, or 130.

Section 100.
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. (3). (NS). (BS). (QR/2). May not be repeated for credit. Intended for students without AP credit in chemistry.

Section 200.
Instructor(s):
Jadwiga T 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. (3). (NS). (BS). (QR/2). May not be repeated for credit. Intended for students without AP credit in chemistry.

Section 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. (3). (NS). (BS). (QR/2). May not be repeated for credit. Intended for students without AP credit in chemistry.

Section 400.
Instructor(s):
Jadwiga T 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. (3). (NS). (BS). (QR/2). May not be repeated for credit. Intended for students without AP credit in chemistry.

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. (3). (NS). (BS). (QR/2). May not be repeated for credit. Intended for students without AP credit in chemistry.

Section 600 — [Honors]. Concurrent enrollment in CHEM 130.600 required.
Instructor(s):
Mark M Banaszak-Holl (mbanasza@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. (3). (NS). (BS). (QR/2). May not be repeated for credit. Intended for students without AP credit in chemistry.

Section 001.
Prerequisites & Distribution: COMM 101 or 102 with a grade of at least C-. Prerequisites enforced at registration. Primarily for first- and second-year students. (4). (SS). (QR/1). May not be repeated for credit.

Introductory Courses
Section 100 — EVENING EXAMS FOR LEC 100 & 200: OCT 8 & NOV 5, 8-10 PM.
Prerequisites & Distribution: High school algebra and geometry. (4). (SS). (QR/2). May not be repeated for credit. No credit granted to those who have completed or are enrolled in ECON 400.

Introductory Courses
Section 200 — EVENING EXAMS FOR LEC 100 & 200: OCT 8 & NOV 5, 8-10 PM.
Prerequisites & Distribution: High school algebra and geometry. (4). (SS). (QR/2). May not be repeated for credit. No credit granted to those who have completed or are enrolled in ECON 400.

Introductory Courses
Section 300.
Instructor(s):
Douglas C Bice (dbice@umich.edu)
Prerequisites & Distribution: High school algebra and geometry. (4). (SS). (QR/2). May not be repeated for credit. No credit granted to those who have completed or are enrolled in ECON 400.

Introductory Courses
Prerequisites & Distribution: ECON 101. (4). (SS). (QR/2). May not be repeated for credit. No credit granted to those who have completed or are enrolled in ECON 400.

Economic Theory and Statistics
Section 001 — EVENING EXAMS ON OCT 2 & NOV 6, 8-10 PM.
Prerequisites & Distribution: ECON 101 and 102, and MATH 115. (4). (Excl). (QR/1). May not be repeated for credit.

Economic Theory and Statistics
Section 001.
Instructor(s):
Prerequisites & Distribution: ECON 101 and 102, and MATH 115. It is strongly recommended that students take ECON 401 before 402. (4). (Excl). (QR/1). May not be repeated for credit.

Economic Theory and Statistics
Section 100.
Prerequisites & Distribution: ECON 101 and 102 and MATH 115. (4). (Excl). (BS). (QR/1). May not be repeated for credit. No credit granted to those who have completed or are enrolled in ECON 405 or STATS 350, 265, 311, 350, 400, 405, or 412.

Economic Theory and Statistics
Section 200.
Prerequisites & Distribution: ECON 101 and 102 and MATH 115. (4). (Excl). (BS). (QR/1). May not be repeated for credit. No credit granted to those who have completed or are enrolled in ECON 405 or STATS 350, 265, 311, 350, 400, 405, or 412.

Economic Theory and Statistics
Section 001.
Instructor(s):
Prerequisites & Distribution: MATH 116. Juniors and seniors may elect this course concurrently with ECON 101 or 102. (4). (Excl). (BS). (QR/1). May not be repeated for credit. 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.

Section 001.
Prerequisites & Distribution: (4). (NS). (BS). (QR/2). May not be repeated for credit.
 
Introductory Courses and Courses for Non-concentrators
Section 001.
Prerequisites & Distribution: (3). (NS). (BS). (QR/2). May not be repeated for credit. No credit granted to those who have completed or are enrolled in AOSS 203.

Introductory Courses and Courses for Non-concentrators
Instructor(s):
Prerequisites & Distribution: Concurrent enrollment in GEOSCI 222. (1). (NS). (BS). (QR/2). May not be repeated for credit.

Introductory Courses and Courses for Non-concentrators
Section 001.
Prerequisites & Distribution: (4). (NS). (BS). (QR/2). May not be repeated for credit.
 
THERE ARE JOINT EVENING EXAMS FOR ALL SECTIONS of MATH 105: WED, OCT 1 & MON, NOV 3, 6-8PM. ALSO A JOINT FINAL. CAUTION! AVOID SCHEDULING ANOTHER CLASS THAT CONFLICTS WITH THESE EVENING EXAMS.
Instructor(s):
Prerequisites & Distribution: (4). (MSA). (QR/1). May not be repeated for credit. 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 101, 103, 105, and 110.

UNIFORM EVENING EXAMS FOR ALL SECTIONS OF MATH 115: WED, OCT 8 & WED, NOV 12, 6:00-8:00 PM. ALSO A UNIFORM FINAL. CAUTION! AVOID SCHEDULING ANOTHER CLASS THAT CONFLICTS WITH THESE EVENING EXAMS.
Instructor(s):
Prerequisites & Distribution: Four years of high school mathematics. See Elementary Courses above. (4). (MSA). (BS). (QR/1). May not be repeated for credit. Credit usually is granted for only one course from among 115, 185, and 295. No credit granted to those who have completed MATH 175.

UNIFORM EVENING EXAMS FOR ALL SECTIONS OF MATH 116: TUES, OCT 7 & TUES, NOV 11, 6-8PM. ALSO A UNIFORM FINAL. CAUTION! AVOID SCHEDULING ANOTHER CLASS THAT CONFLICTS WITH THESE EVENING EXAMS.
Instructor(s):
Prerequisites & Distribution: MATH 115. (4). (MSA). (BS). (QR/1). May not be repeated for credit. Credit is granted for only one course from among MATH 116, 156, 176, and 186.

UNIFORM EVENING EXAMS FOR ALL SECTIONS OF MATH 156: WED, OCT 8 AND WED, NOV 12, 6:00-8:00 PM. ALSO A UNIFORM FINAL.
Prerequisites & Distribution: Score of 4 or 5 on the AB or BC Advanced Placement calculus exam. (4). (MSA). (BS). (QR/1). May not be repeated for credit. Credit is granted for only one course among MATH 116, 156, 176, 186, and 296.

Section 001, 002.
Prerequisites & Distribution: Permission of the Honors advisor. (4). (MSA). (BS). (QR/1). May not be repeated for credit. No credit granted to those who have completed or are enrolled in MATH 175 or 295.

Section 003, 004.
Prerequisites & Distribution: Permission of the Honors advisor. (4). (MSA). (BS). (QR/1). May not be repeated for credit. No credit granted to those who have completed or are enrolled in MATH 175 or 295.

Prerequisites & Distribution: MATH 115 and 116. (4). (MSA). (BS). (QR/1). May not be repeated for credit. 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.

UNIFORM EVENING EXAMS FOR ALL SECTIONS OF MATH 215: THURS, OCT 9 & THURS, NOV 13, 6-8PM. ALSO A UNIFORM FINAL.
Instructor(s):
Prerequisites & Distribution: MATH 116, 119, 156, 176, 186, or 296. (4). (MSA). (BS). (QR/1). May not be repeated for credit. Credit can be earned for only one of MATH 215, 255, or 285.

UNIFORM EVENING EXAMS FOR ALL SECTIONS OF MATH 216: WED, OCT 8 & MON, NOV 10, 6-8PM. ALSO A UNIFORM FINAL.
Instructor(s):
Prerequisites & Distribution: MATH 116, 119, 156, 176, 186, or 296. Not intended for Mathematics concentrators. (4). (MSA). (BS). (QR/1). May not be repeated for credit. Credit can be earned for only one of MATH 216, 256, 286, or 316.

Instructor(s):
Prerequisites & Distribution: MATH 215, 255, or 285. (4). (MSA). (BS). (QR/1). May not be repeated for credit. 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.

Instructor(s):
Prerequisites & Distribution: MATH 255. (4). (MSA). (BS). (QR/1). May not be repeated for credit. Credit can be earned for only one of MATH 216, 256, 286, or 316.

Instructor(s):
Prerequisites & Distribution: MATH 176 or 186, or permission of the Honors advisor. (4). (MSA). (BS). (QR/1). May not be repeated for credit. Credit can be earned for only one of MATH 215, 255, or 285.

Instructor(s):
Prerequisites & Distribution: Prior knowledge of first year calculus and permission of the Honors advisor. (4). (MSA). (BS). (QR/1). May not be repeated for credit. No credit granted to those who have completed or are enrolled in MATH 185.

Section 001 — Symbolic Logic.
Instructor(s):
Brain MacPherson (macp@umich.edu)
Prerequisites & Distribution: Honors students or permission of instructor. (3). (MSA). (BS). (QR/1). May not be repeated for credit. Credit is granted for only one of PHIL 203, 303, or 296.

Section 001.
Prerequisites & Distribution: PHIL 303. (3). (Excl). (BS). (QR/1). May not be repeated for credit.

Section 001.
Instructor(s):
Fred C Adams
Prerequisites & Distribution: High school algebra and geometry. (3). (NS). (BS). (QR/1). May not be repeated for credit.

Prerequisites & Distribution: Two and one-half years of high school mathematics, including trigonometry. (4). (NS). (BS). (QR/1). May not be repeated for credit. PHYSICS 125 and 127 are normally elected concurrently. No credit granted to those who have completed or are enrolled in PHYSICS 140 or 160.

Prerequisites & Distribution: PHYSICS 125. (4). (NS). (BS). (QR/1). May not be repeated for credit. PHYSICS 126 and 128 are normally elected concurrently. No credit granted to those who have completed or are enrolled in PHYSICS 240 or 260.

Prerequisites & Distribution: MATH 115. PHYSICS 140 and 141 are normally elected concurrently. (4). (NS). (BS). (QR/1). May not be repeated for credit. No credit granted to those who have completed or are enrolled in PHYSICS 125 or 160.

Section 001.
Instructor(s):
Michal R Zochowski
Prerequisites & Distribution: MATH 115. Students should elect PHYSICS 141 concurrently. (4). (NS). (BS). (QR/1). May not be repeated for credit. No credit granted to those who have completed or are enrolled in PHYSICS 125 or 140.

Prerequisites & Distribution: PHYSICS 140 or 160; and MATH 116. PHYSICS 240 and 241 are normally elected concurrently. (4). (NS). (BS). (QR/1). May not be repeated for credit. No credit granted to those who have completed or are enrolled in PHYSICS 126 or 260.

Section 001.
Prerequisites & Distribution: PHYSICS 126/128 or 240 (or 260)/241, and MATH 216. (3). (Excl). (BS). (QR/1). May not be repeated for credit.

Section 001.
Prerequisites & Distribution: (4). (SS). (QR/2). May not be repeated for credit.

Section 001.
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. (4). (MSA). (BS). (QR/1). May not be repeated for credit. 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.

Section 001.
Prerequisites & Distribution: (4). (SS). (QR/2). May not be repeated for credit.

Section 001.
Prerequisites & Distribution: (4). (SS). (QR/2). May not be repeated for credit. Restricted to first- and second-year students.
 
Section 001.
Instructor(s):
Jennifer S Barber
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). May not be repeated for credit.
 
Midterm Exam on Thursday, Oct. 23, 6-7:30.
Prerequisites & Distribution: (4). (MSA). (BS). (QR/1). May not be repeated for credit. 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.

Evening Exam on Thursday, Oct 9 and Thursday, Nov. 20, 6-7:30
Prerequisites & Distribution: (4). (NS). (BS). (QR/1). May not be repeated for credit. 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.

Instructor(s):
Bendek B Hansen
Prerequisites & Distribution: High School Algebra. (4). (Excl). (BS). (QR/1). May not be repeated for credit. No credit granted to those who have completed or are enrolled in ECON 404 or 405, or STATS 250, 265, 350, 405, or 412.

Section 001.
Instructor(s):
Prerequisites & Distribution: MATH 116. Juniors and seniors may elect this course concurrently with ECON 101 or 102. (4). (Excl). (BS). (QR/1). May not be repeated for credit. 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.


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