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.

#### Section 001.

**Prerequisites & Distribution:** A basic high school math and science background. No credit granted to those who have completed or are enrolled in 111, 130, or 160. (4). (NS). (BS). (QR/2).

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#### Section 006.

**Prerequisites & Distribution:** A basic high school math and science background. No credit granted to those who have completed or are enrolled in 111, 130, or 160. (4). (NS). (BS). (QR/2).

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#### Section 001.

**Prerequisites & Distribution:** A basic high school math and science background. No credit granted to those who have completed or are enrolled in 112, 130, or 160. (4). (NS). (BS). (QR/2).

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#### Section 006.

**Prerequisites & Distribution:** A basic high school math and science background. No credit granted to those who have completed or are enrolled in 112, 130, or 160. (4). (NS). (BS). (QR/2).

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#### Section 001.

**Prerequisites & Distribution:** A basic high school math and science background. No credit granted to those who have completed or are enrolled in 101, 130, or 160. (4). (NS). (BS). (QR/2).

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#### Section 004.

**Prerequisites & Distribution:** A basic high school math and science background. No credit granted to those who have completed or are enrolled in 101, 130, or 160. (4). (NS). (BS). (QR/2).

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#### Section 001.

**Prerequisites & Distribution:** A basic high school math and science background. No credit granted to those who have completed or are enrolled in 102, 130, or 160. (4). (NS). (BS). (QR/2).

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#### Section 006.

**Prerequisites & Distribution:** A basic high school math and science background. No credit granted to those who have completed or are enrolled in 102, 130, or 160. (4). (NS). (BS). (QR/2).

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#### Section 001.

#### Instructor(s): David Graff

**Prerequisites & Distribution:** 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 or are enrolled in 101, 102, 111, 112, or 160. (3). (NS). (BS). (QR/2).

* First-Year Seminar, *

**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).

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#### Section 001.

**Prerequisites & Distribution:** High-school algebra. (4). (NS). (BS). (QR/2).

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#### Section 100 – Exams (All Sections) Tues, Sept 26, Oct 24 & Nov 14, 8:00 – 10:00 p.m. Students Electing Chem 130 May Also Elect Chem 125.

**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).

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#### Section 200 – Exams (All Sections) Tues, Sept 26, Oct 24 & Nov 14, 8:00 – 10:00 p.m. Students Electing Chem 130 May Also Elect Chem 125.

**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).

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#### Section 300 – Exams (All Sections) Tues, Sept 26, Oct 24 & Nov 14, 8:00 – 10:00 p.m. Students Electing Chem 130 May Also Elect Chem 125.

#### Instructor(s): Melinda Gugelchuk (melinda@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).

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#### Section 400 – Exams (All Sections) Tues, Sept 26, Oct 24 & Nov 14, 8:00 – 10:00 p.m. Students Electing Chem 130 May Also Elect Chem 125.

**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).

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#### Section 500 – Exams (All Sections) Tues, Sept 26, Oct 24 & Nov 14, 8:00 – 10:00 p.m. Students Electing Chem 130 May Also Elect Chem 125.

**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).

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#### Section 600 – Exams (All Sections) Tues, Sept 26, Oct 24 & Nov 14, 8:00 – 10:00 p.m. Students Electing Chem 130 May Also Elect Chem 125.

**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).

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#### Section 001.

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

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*Introductory Courses*

Section 100.

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

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*Introductory Courses*

Section 200.

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

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*Introductory Courses*

Section 300 – Hourly Exams: Thur, Oct 14, 8 – 10 p.m. and Wed, Nov 3, 6 – 8 p.m.

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

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*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).

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*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).

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*Economic Theory and Statistics*

Section 001.

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

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*Economic Theory and Statistics*

Section 001.

#### Instructor(s): Neil Buchanan

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

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*Economic Theory and Statistics*

Section 100.

**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. 250, 265, 311, 402, 405, or 412. (4). (Excl). (BS). (QR/1).

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*Economic Theory and Statistics*

Section 200.

**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. 250, 265, 311, 402, 405, or 412. (4). (Excl). (BS). (QR/1).

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*Economic Theory and Statistics*

Section 001.

**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).

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*Introductory Courses and Courses for Non-concentrators*

Section 001.

**Prerequisites & Distribution:** High-school algebra. (4). (NS). (BS). (QR/2).

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*Introductory Courses and Courses for Non-concentrators*

Section 001.

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

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*Introductory Courses and Courses for Non-concentrators*

#### Instructor(s):

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

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*Introductory Courses and Courses for Non-concentrators*

Sections 001 through 007 meet the Upper-Level Writing requirement.

**Prerequisites & Distribution:** (4). (NS). (BS). (QR/2).

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#### There will be Joint Evening Examinations for All Sections of Math 105, 6:00 – 8:00 p.m. on Mon., Oct 11 and Thurs., Nov 18. Also a Joint Final.

**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).

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#### There will be Joint Evening Examinations for All sections of Math 115, 6-8 p.m., Weds, Oct 6 and Nov 10. Also a Joint Final.

**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).

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#### Section 100 – Students in Math 115 Section 100 Receive Individualized Self-Paced Instruction in the Mathematics Laboratory in Room B860 E H. Students Must Go to the Math Lab During the First Full Week of Classes.

**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).

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#### There will be Joint Evening Examinations for All Sections of Math 116, 6-8 p.m., Tues., Oct. 12 and Tues., Nov 16. Also a Joint Final.

**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).

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#### There will be Joint Evening Examinations for All Sections of Math 156, Thurs, Oct 14 and Weds, Nov 17, 6:00 – 8:00 p.m. Also a Joint Final.

**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 114, 116, 119, 156, 176, 186, and 296. (4). (MSA). (BS). (QR/1).

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#### Section 001 – Introduction to Cryptology and Discrete Mathematics

**Prerequisites & Distribution:** Permission of Honors advisor. No credit granted to those who have completed a 200-level or higher Mathematics course. (4). (MSA). (BS). (QR/1).

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#### Instructor(s):

**Prerequisites & Distribution:** Permission of the Honors advisor. Credit is granted for only one course from among Math. 112, 113, 115, 185, and 295. No credit granted to those who have completed Math. 175. (4). (MSA). (BS). (QR/1).

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#### There will be Joint Evening Examinations for All Sections of Math 215, 6-8 p.m., Thurs Oct 14, And Weds Nov 18. Also a Joint Final.

**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).

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#### 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 513. (4). (MSA). (BS). (QR/1).

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#### Instructor(s):

**Prerequisites & Distribution:** Prior knowledge of first year calculus and permission of the Honors advisor. Credit is granted for only one course from among Math. 112, 113, 115, 185, and 295. (4). (MSA). (BS). (QR/1).

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#### Section 001.

**Prerequisites & Distribution:** (3). (Excl). (BS). (QR/1).

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#### Section 001.

**Prerequisites & Distribution:** High school algebra and geometry. (3). (NS). (BS). (QR/1).

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#### Section 001.

**Prerequisites & Distribution:** High-school algebra. (4). (NS). (BS). (QR/2).

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#### There will be Three Evening Exams on Thursdays 6:00 – 8:00 p.m. on Oct 5, Nov 2, and Nov 30.

**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 Phys. 140, 145, or 160. (4). (NS). (BS). (QR/1).

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#### There will be Three Evening Exams on Thursdays 8:00p.m. – 10:00p.m. on Oct 5, Nov 2, and Nov 30.

**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).

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#### There will be Three Evening Exams on Thursdays 6:00 – 8:00 p.m. on Oct 5, Nov 2, and Nov 30.

**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).

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#### Section 035, 036.

**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).

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**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).

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#### There will be Three Evening Exams on Thursdays, 8:00 – 10:00 p.m. on Oct 5, Nov 2, and Nov 30.

**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).

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#### Section 032, 033.

**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).

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

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#### Section 001.

**Prerequisites & Distribution:** (4). (NS). (BS). (QR/2).

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#### Section 001.

#### Instructor(s): Feldbaum

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

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#### 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. No credit granted to those who have completed or are enrolled in Stat. 100, 250, 265, 311, 402, 405, or 412, or Econ. 404 or 405. (4). (MSA). (BS). (QR/1).

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#### Section 001.

#### Instructor(s): William Farley

**Prerequisites & Distribution:** Restricted to first- and second-year students. (4). (SS). (QR/2).

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#### Section 001 ONLY may be elected to satisfy the upper-level writing requirement.

**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).

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#### Section 001.

#### Instructor(s): Reynolds Farley (renf@umich.edu)

**Prerequisites & Distribution:** (3). (Excl). (QR/1).

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#### There will be One (1) Midterm Exam on DATE TBA, 6-8 p.m. for Statistics 100.

**Prerequisites & Distribution:** No credit granted to those who have completed or are enrolled in Soc. 210, Stat. 250, 402, 405, or 412, or Econ. 404 or 405. (4). (MSA). (BS). (QR/1).

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#### There will be Two (2) Evening Exams for Statistics 402, to be given on DATES TBA, from 6-8 p.m.

**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).

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#### Section 001.

**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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