Quantitative Reasoning for Winter Academic Term 2001

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.

ASTRO 101. Introductory Astronomy: The Solar System. (4). (NS).

Section 001. Instructor(s): Richard L Sears (rlsears@umich.edu)

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).

ASTRO 102. Introductory Astronomy: Stars, Galaxies, and the Universe. (4). (NS).

Section 001.

Instructor(s): Philip A Hughes (hughes@umich.edu)

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).

ASTRO 102. Introductory Astronomy: Stars, Galaxies, and the Universe. (4). (NS).

Section 007.

Instructor(s): David S. Graff (dgraff@umich.edu)

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).

ASTRO 111. Introductory Astronomy: The Solar System. (4). (NS).

Section 001.

Instructor(s): Richard L Sears (rlsears@umich.edu)

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).

ASTRO 112. Introductory Astronomy: Stars, Galaxies, and the Universe. (4). (NS).

Section 001.

Instructor(s): Philip A Hughes (hughes@umich.edu)

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).

ASTRO 112. Introductory Astronomy: Stars, Galaxies, and the Universe. (4). (NS).

Section 006.

Instructor(s): David S. Graff (dgraff@umich.edu)

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).

ASTRO 115. Modern Planetary Astronomy. (4). (Excl).

Section 001.

Instructor(s): Charles R Cowley (cowley@umich.edu)

Prerequisites & Distribution: No credit granted to those who have completed or are enrolled in Astro. 101 or 111. (4). (Excl). (BS). (QR/2).

ASTRO 160. Introduction to Astrophysics. (4). (NS).

Section 001.

Instructor(s): Mario L Mateo (mmateo@umich.edu)

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).

BIOLOGY 483. Limnology: Freshwater Ecology. (3). (Excl).

Section 001.

Instructor(s): George W Kling II (gwk@umich.edu)

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

CHEM 130. General Chemistry: Macroscopic Investigations and Reaction Principles. (3). (NS).

Section 100.

Instructor(s): Barbara J Weathers (bweath@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).

CHEM 130. General Chemistry: Macroscopic Investigations and Reaction Principles. (3). (NS).

Section 200.

Instructor(s): Richard Brown (redwin@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).

CHEM 130. General Chemistry: Macroscopic Investigations and Reaction Principles. (3). (NS).

Section 400.

Instructor(s): Barbara J Weathers (bweath@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).

COMM 211. Evaluating Information. (4). (SS).

Section 001.

Instructor(s): Michael W Traugott (mtrau@umich.edu)

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

COMM 311. Mass Communication Research. (3). (SS).

Section 001.

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

ECON 101. Principles of Economics I. (4). (SS).

Introductory Courses

Section 100.

Instructor(s): Janet Gerson (jgerson@umich.edu)

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

ECON 101. Principles of Economics I. (4). (SS).

Introductory Courses

Section 200.

Instructor(s): Paula A Malone (pmalone@umich.edu)

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

ECON 101. Principles of Economics I. (4). (SS).

Introductory Courses

Section 300 � EVENING EXAMS ON FEB. 15 AND MARCH 22 FROM 6:00-8:00 PM.

Instructor(s): John P Laitner (jlaitner@umich.edu)

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

ECON 101. Principles of Economics I. (4). (SS).

Introductory Courses

Section 400.

Instructor(s): Stanley Anthony Sedo (sasedo@umich.edu)

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

ECON 102. Principles of Economics II. (4). (SS).

Introductory Courses

Section 100.

Instructor(s): Saul H Hymans (shymans@umich.edu)

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

ECON 102. Principles of Economics II. (4). (SS).

Introductory Courses

Section 200.

Instructor(s): George E Johnson (gjohnson@umich.edu)

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

ECON 309(109). Experimental Economics. (3). (SS).

Other Topics in Economics

Instructor(s): Yan Chen (yanchen@umich.edu)

Prerequisites & Distribution: Econ. 101. (3). (SS). (QR/1). Laboratory fee ($30) required.

ECON 401. Intermediate Microeconomic Theory. (4). (SS).

Economic Theory and Statistics

Section 001.

Instructor(s): Janet Gerson (jgerson@umich.edu) , Kai-Uwe Kühn (kukuhn@umich.edu)

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

ECON 402. Intermediate Macroeconomic Theory. (4). (SS).

Economic Theory and Statistics

Section 001.

Instructor(s): Neil Harold Buchanan (nbuchana@umich.edu)

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

ECON 404. Statistics for Economists. (4). (Excl).

Economic Theory and Statistics

Section 001.

Instructor(s): E Philip Howrey (eph@umich.edu)

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, 350, 400, 402, 405, or 412. (4). (Excl). (BS). (QR/1).

ECON 405/Stat. 405. Introduction to Statistics. (4). (MSA).

Economic Theory and Statistics

Section 001.

Instructor(s): Thomas Ryan (tpryan@umich.edu)

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).

GEOSCI 222. Introductory Oceanography. (3). (NS).

Introductory Courses and Courses for Non-concentrators

Section 001.

Instructor(s): Vicki S Mckenna (vmckenna@umich.edu)

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

GEOSCI 223. Introductory Oceanography, Laboratory. (1). (NS).

Introductory Courses and Courses for Non-concentrators

Instructor(s): Rebecca Sprague Robinson

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

MATH 105. Data, Functions, and Graphs. (4). (MSA).

Section � UNIFORM EVENING EXAMS ON WEDS., FEB. 9 AND MAR. 22, 6-8 P.M.

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).

MATH 115. Calculus I. (4). (MSA).

Section � UNIFORM EVENING EXAMS ON WEDS., FEB. 2 AND MAR. 15, 6 - 8 P.M.

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).

MATH 116. Calculus II. (4). (MSA).

Section � UNIFORM EVENING EXAMS ON WEDS., FEB. 9 AND MAR. 22, 6 - 8 P.M.

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).

MATH 127. Geometry and the Imagination. (4). (MSA).

Section 001.

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).

First-Year Seminar,

MATH 176. Dynamical Systems and Calculus. (4). (MSA).

Section 001.

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

MATH 186. Honors Calculus II. (4). (MSA).

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).

MATH 215. Calculus III. (4). (MSA).

Section � UNIFORM EVENING EXAMS ON MON, FEB 7, & THURS, MAR 23, 6-8 P.M.

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).

MATH 217. Linear Algebra. (4). (MSA).

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).

MATH 296. Honors Mathematics II. (4). (Excl).

Section 001.

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).

PHIL 296. Honors Introduction to Logic. (3). (MSA).

Section 001 � Symbolic Logic.

Instructor(s): Allan F Gibbard (gibbard@umich.edu)

Prerequisites & Distribution: Honors students or permission of instructor. Credit is granted for only one of Phil. 203, 303, or 296. (3). (MSA). (BS). (QR/1).

PHYSICS 125. General Physics: Mechanics and Sound. (4). (NS).

Instructor(s): Timothy A 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 Phys. 140, 145, or 160. (4). (NS). (BS). (QR/1).

PHYSICS 126. General Physics: Electricity and Light. (4). (NS).

Instructor(s): Walter S Gray (waltgray@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).

PHYSICS 140. General Physics I. (4). (NS).

Instructor(s): James W Allen (jwallen@umich.edu)

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).

PHYSICS 140. General Physics I. (4). (NS).

Section 035, 036.

Instructor(s): Michael J Longo (mlongo@umich.edu)

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).

PHYSICS 240. General Physics II. (4). (NS).

Instructor(s): Myron K Campbell (myron@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).

PHYSICS 240. General Physics II. (4). (NS).

Section 035, 036.

Instructor(s): James T Liu (jimliu@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).

PHYSICS 260. Honors Physics II. (4). (NS).

Section 001.

Instructor(s): Roberto D Merlin (merlin@umich.edu)

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).

PHYSICS 288. Physics of Music. (3). (NS).

Section 001 � Meets with Physics 489.001.

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

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

PHYSICS 290. Physics of the Body and Mind. (3). (NS).

Section 001.

Instructor(s): Timothy E Chupp (chupp@umich.edu)

Prerequisites & Distribution: Phys. 125 or 140, and prior or concurrent enrollment in 126 or 240. (3). (NS). (BS). (QR/2).

PHYSICS 401. Intermediate Mechanics. (3). (Excl).

Section 001.

Instructor(s): Meigan C Aronson (maronson@umich.edu)

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

PHYSICS 489. Physics of Music. (3). (Excl).

Section 001 � Meets with Physics 288.001.

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

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

SOC 210. Elementary Statistics. (4). (MSA).

Section 001.

Instructor(s): David R Harris (drharris@umich.edu)

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, 350, 402, 405, or 412, or Econ. 404 or 405. (4). (MSA). (BS). (QR/1).

SOC 310. Introduction to Research Methods. (4). (Excl).

Section 001.

Instructor(s): Ann E Biddlecom (abiddle@umich.edu)

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).

STATS 100. Introduction to Statistical Reasoning. (4). (MSA).

Section � MIDTERM EXAM ON THURSDAY,FEBRUARY 22, 6-8 P.M.

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

Prerequisites & Distribution: No credit granted to those who have completed or are enrolled in Soc. 210, Stat. 250, 350, 402, 405, or 412, or Econ. 404 or 405. (4). (MSA). (BS). (QR/1).

STATS 125. Games, Gambling and Coincidences. (3). (MSA).

Section 001.

Instructor(s): Robert W Keener (keener@umich.edu)

Prerequisites & Distribution: Only first-year students, including those with sophomore standing, may pre-register for First-Year Seminars. All others need permission of instructor. (3). (MSA). (QR/1).

First-Year Seminar,

STATS 170. The Art of Scientific Investigation. (4). (MSA).

Section 001 � Meets with Statistics 408.001.

Instructor(s): Edward D Rothman (erothman@umich.edu)

Prerequisites & Distribution: No credit granted to those who have completed or are enrolled in Statistics 408. (4). (MSA). (BS). (QR/1).

STATS 350(250/402). Introduction to Statistics and Data Analysis. (4). (NS).

Section � TWO (2) WEDNESDAY EVENING MIDTERM EXAMINATIONS FOR STATISTICS 402 ON 02/14 AND 3/28, 6-8 P.M.

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. 250, 265, 311, 400, 402, 405, or 412. (4). (NS). (BS). (QR/1).

STATS 405/Econ. 405. Introduction to Statistics. (4). (MSA).

Section 001.

Instructor(s): Thomas Ryan (tpryan@umich.edu)

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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